Grade 12 Numbers and Arithmetic

The first person is 100 cm tall. Each subsequent person is 20% taller than the . . .Grade 12 Numbers and Arithmetic

The last digit of the number 7^{77} is Grade 12 Numbers and Arithmetic

Find the hundreds digit (third digit from the right) of the product: 44444 x . . .Grade 12 Numbers and Arithmetic

Which gives the largest answer?Grade 12 Numbers and Arithmetic

Which is the sum of all digits of the decimal representation of 5^{16} . . .Grade 12 Numbers and Arithmetic

The sum of the digits of a two-digit number X is Y. The sum of the digits . . .Grade 12 Numbers and Arithmetic

Which gives the largest answer?Grade 12 Numbers and Arithmetic

How many three-digit numbers have exactly five divisors including 1 and itself?Grade 12 Numbers and Arithmetic

Make two fractions with all the digits from 0 to 9. Use each digit once. They . . .Grade 12 Numbers and Arithmetic

What is 2 to the power of 16?Grade 12 Numbers and Arithmetic

If you wrote all the whole numbers from 1 through 1000, how many times would . . .Grade 12 Numbers and Arithmetic

With a 1 after a nine-digit number, it is the same as a 1 before it. Find . . .Grade 12 Numbers and Arithmetic

I multiply the two page numbers and get 6162. What is the right-hand page . . .Grade 12 Numbers and Arithmetic

What are the two last digits of the result? 1999999991 x 2000000009Grade 12 Numbers and Arithmetic

If X^{Y} = 1024 and both numbers are integers, which of the following . . .Grade 12 Numbers and Arithmetic

Which number is smaller than the sum of its divisors other than 1 and the . . .Grade 12 Numbers and Arithmetic

Which numeral system states that 7 + 6 = 15Grade 12 Numbers and Arithmetic

How many digits are there in the number 625^{10}? Please don't use a . . .Grade 12 Numbers and Arithmetic

Which of the following gives the largest result? Do not use a calculator.Grade 12 Numbers and Arithmetic

Savin's problem: Using each of the digits 1,2,3, and 4 twice, write out an . . .Grade 12 Numbers and Arithmetic

What gives the smallest result? Here we write 0.333 . . . as notation for . . .Grade 12 Numbers and Arithmetic

What is the sum of the first 100 prime numbers? A prime number is a natural . . .Grade 12 Numbers and Arithmetic

The average of 99 consecutive numbers is 99. What is the average of the nine . . .Grade 12 Numbers and Arithmetic

The natural numbers are the counting numbers, like 1, 2, 3, et cetera. An . . .Grade 12 Numbers and Arithmetic

0.999 . . . means infinitely repeating decimals. What is the largest result?Grade 12 Numbers and Arithmetic

A magic square is an arrangement of integers, in a square grid, where the . . .Grade 12 Numbers and Arithmetic

Leslie Green asks: What is the next number in the sequence?**0, 3, 1, 4, . . .****Grade 12 Numbers and Arithmetic**

Shakuntala Devi was undoubtedly the most brilliant arithmetic mental calculator . . .Grade 12 Algebra

Choose the condition when the inequality (2 + n)n > (1 + n)n is always true.Grade 12 Algebra

Which of the following points lies on the line 3x + 4y = -12Grade 12 Algebra

Line AB has the equation y = 0.5x + 3 Line CD is parallel to line AB. . . .Grade 12 Algebra

Which equation describes a line of symmetry for the shape?Grade 12 Algebra

Find the center of the prism with the following vertices. A(1,1,1), . . .Grade 12 Algebra

Which of the following graphs represents all values of x, such that: Grade 12 Algebra

How many digits are in the result of the expression? 1001^{11} Grade 12 Algebra

Which of the following gives the biggest answer?Grade 12 Algebra

If y is the fraction of the white area of the square, which graph shows the y . . .Grade 12 Algebra

How many integer values of x are the solutions of these two inequalities?Grade 12 Algebra

Find the point of intersection of these two lines.Grade 12 Algebra

Which equation represents the axis of symmetry of the graph of the parabola? Grade 12 Algebra

Three points of four are on a line. Which point is not on the line?Grade 12 Algebra

Xia and Yvonne collect buttons. Xia only collects the ones with two holes and . . .Grade 12 Algebra

Ten teams enter a basketball tournament. Each team plays one match against . . .Grade 12 Algebra

How many points of intersection do these three rays have? Grade 12 Algebra

A square game board begins with a dark square alternating with light squares. . . .Grade 12 Algebra

Which function gives the angle in degrees between the hour and the minute hands . . .Grade 12 Algebra

Find Y.Grade 12 Algebra

Estimate the ratio of the large rectangle width to height if the two rectangles . . .Grade 12 Algebra

How many solutions are there for X?Grade 12 Algebra

A swimming pool is 12.5 x 8 x 3 meters. The average volume of a human body is . . .Grade 12 Algebra

In an examination, there were 4000 candidates, of which 2200 candidates were . . .Grade 12 Algebra

A tree increases its number of nuts at the rate of 100% every year. What was . . .Grade 12 Algebra

What amount of water should be added to reduce 200 milliliters of 5 percent fat . . .Grade 12 Algebra

A car starts traveling at an initial speed of 120 km per hour (kmph), the . . .Grade 12 Algebra

What are the smallest and largest integers that will make this expression true? Grade 12 Algebra

Evguenia walked to school. Twelve minutes after she left, Sasha started. His . . .Grade 12 Algebra

There are 190 coconuts in a basket. Sailors one after another take out half of . . .Grade 12 Algebra

The weights of each pair of these boxes are 98kg, 101kg, and 102kg. What is . . .Grade 12 Algebra

Mike’s age, M, is equal to the sum of the ages of his four children. His age N . . .Grade 12 Algebra

Two trains, each 400 meters long, pass each other completely in 10 seconds when . . .Grade 12 Algebra

Two tourists paddled downstream for 2 hours and then upstream for 4 hours. . . .Grade 12 Algebra

A group of 22 scouts goes on a trip. They prepare enough food to last 18 days. . . .Grade 12 Algebra

The Smith family consists of parents, children, and animals. Some of them are . . .Grade 12 Algebra

In a city, sixty percent of the men are married to eighty percent of the women. . . .Grade 12 Algebra

"A coach leaves London for York and another at the same moment leaves York for . . .Grade 12 Algebra

How many "yes or no" questions are needed to guess any 5-digit code?Grade 12 Algebra

A series of 10 books were published at two-year intervals. The sum of the . . .Grade 12 Algebra

The product and sum of two positive integers X and Y are added together. The . . .Grade 12 Algebra

In a recent election, 1111 people voted for two parties. If the ratio of the . . .Grade 12 Algebra

The wind in the open-air swimming pool increases the westward swimming speed . . .Grade 12 Algebra

Find x.Grade 12 Algebra

X + XY + Y = 34 Find all positive integer solutions of the equation, for which . . .Grade 12 Algebra

What is the sum of the squares of the whole numbers from 1 to 10? Grade 12 Algebra

Divine the value of the Divine proportion AC.Grade 12 Algebra

The balance is in equilibrium. Find Z.Grade 12 Algebra

If 3 pens and 5 pencils cost as much as 5 pens and 2 pencils, by how much is a . . .Grade 12 Algebra

Gerry and Jane are exactly 100 km apart. Gerry leaves his place running at 10 . . .Grade 12 Algebra

How many pairs of prime numbers add up to 101? Grade 12 Algebra

The occupancy percentage of a hotel is 64% for the four summer months and 46% . . .Grade 12 Algebra

0.123123123123123 . . . . What fraction is it?Grade 12 Algebra

Water increases its volume by 1/11 when freezing. By what part of its volume . . .Grade 12 Algebra

If the sum of two numbers is 9 and their difference is 11, what is their . . .Grade 12 Algebra

Two men and two women want to cross a river. The boat will only hold one man . . .Grade 12 Algebra

The stand-in mathematics teacher is forced to choose two students to go on a . . .Grade 12 Algebra

Leslie Green asks: Given Cartesian axes of infinite extent, find the ratio . . .Grade 12 Algebra

Find the ratio of the areas above and below the parabola** y = . . .****Grade 12 Algebra **

A grocery store sells Brazilian cacao in 15-kg bags and Ecuadorian cacao in . . .Grade 12 Algebra

A cube is painted on the outside and then divided into one-unit cubes. The . . .Grade 12 Algebra

Which of the following is equal to fourteen divided by nine?Grade 12 Algebra

There are 1000 students in a high school. 20% of girls and 30% of boys were . . .Grade 12 Geometry

A fence around a rectangular garden has a perimeter of 14 meters. Its length . . .Grade 12 Geometry

The volume of water in a glass of V cubic centimeters (cc), varies directly as . . .Grade 12 Geometry

Tim travels 15 meters north of the flag in the football stadium. He turns . . .Grade 12 Geometry

S varies directly as the square of (H+1) S = 121 when H = 10 Find H when S = . . .Grade 12 Geometry

A rectangle has width W, length L, and area A. If integer W ≤ 9 and L . . .Grade 12 Geometry

A wire is wound around a circular rod. The wire goes exactly 5 times around . . .Grade 12 Geometry

Which is the best estimate of the area of the colored shape?Grade 12 Geometry

These two shapes are similar. What is the length of x?Grade 12 Geometry

Identify the area of the rounded square.Grade 12 Geometry

A boy stacked colored cubes in a square pyramid like the one shown here. The . . .Grade 12 Geometry

A six-pointed regular star consists of two areas. What is the ratio of the . . .Grade 12 Geometry

The figure shows a red equilateral triangle inscribed within another . . .Grade 12 Geometry

If the volume of a cube is X cubic meters and the total surface area of the . . .Grade 12 Geometry

The side of the colored square is x cm. What is the area of the red . . .Grade 12 Geometry

The three circles have fixed centers, and the diameter of a circle is 10% less . . .Grade 12 Geometry

L3 and L4 are two parallel lines in a plane. If L3 has 3 points equally . . .Grade 12 Geometry

What is the total number of lines of tangency that are common to circle C1 and . . .Grade 12 Geometry

For this rectangular-faced solid (cuboid), which plane(s) contain(s) B and . . .Grade 12 Geometry

Two similar pyramids have volumes of 216 m^{3} and 64 m^{3}. . . .Grade 12 Geometry

AB is parallel to CD. What is the value of X?Grade 12 Geometry

There are 2 identical circles. Circle A remains fixed, while Circle B makes 1 . . .Grade 12 Geometry

G is the area of the green region inside the biggest circle. R is the total . . .Grade 12 Geometry

The area of the external triangle is equal to 1. Its sides' midpoints are . . .Grade 12 Geometry

The pattern of shading in one quarter of a square is shown in the diagram. . . .Grade 12 Geometry

What is the maximum number of squares you can make using twelve identical . . .Grade 12 Geometry

A gardener has to reach the island in the middle of a pond without getting wet. . . .Grade 12 Geometry

Three reservoirs have the same height h=1. Which reservoir is bigger?Grade 12 Geometry

What is the largest semi-circle that can be inscribed in a square with a side . . .Grade 12 Geometry

Twenty matchsticks form five squares (one 3x3 and four 1x1). How many . . .Grade 12 Geometry

A ladder leans against a vertical wall. The top of the ladder is 4m above the . . .Grade 12 Geometry

If the length of the hour and minute hand of a clock are 3cm and 6cm . . .Grade 12 Geometry

All inner lines connect the corners of the big square and the midpoints of the . . .Grade 12 Geometry

A square is inscribed in a right triangle. Find the greatest possible ratio . . .Grade 12 Geometry

What value of X gives the greatest ratio of red area to the area of the big . . .Grade 12 Geometry

Among the following shapes of equal area, which has the smallest perimeter? Grade 12 Geometry

The sizes of the sealed bottle with water are shown in the figure. Find the . . .Grade 12 Geometry

How many equilateral triangles can you make using six identical line segments? Grade 12 Geometry

The following pattern is cut and folded to a square-based pyramid. What size . . .Grade 12 Geometry

John is using the spinner shown here to define the movement. Blue means one . . .Grade 12 Geometry

How much wrapping paper is needed to entirely cover a box that is 40 cm by 30 . . .Grade 12 Geometry

What is the ratio of the green area to the red area?Grade 12 Geometry

Four squares have dimensions as indicated in the picture. What is the area . . .Grade 12 Geometry

What is the maximum number of possible points of intersection of N different . . .Grade 12 Geometry

The diameter of one hair is 0.2 mm. Estimate the diameter of a plait of 1000 . . .Grade 12 Geometry

Two lines trisect (divide into three equal parts) each side of the polygon . . .Grade 12 Geometry

The shaded rhombus is formed by joining vertices of the square to the midpoints . . .Grade 12 Geometry

The diagram shows 15 billiard balls that fit exactly inside a triangular rack. . . .Grade 12 Geometry

The picture shows the areas of three rectangles. What is the area of the . . .Grade 12 Geometry

Two triangles form seven separate regions. What is the greatest number of . . .Grade 12 Geometry

There are six ways to travel from point S to point F on a small cube if only . . .Grade 12 Geometry

Estimate the area of the smallest square that can enclose the regular hexagon . . .Grade 12 Geometry

A, B, and C are squares with sides of length 1; D, E, and F are isosceles . . .Grade 12 Geometry

I drew three lines from the center of a square that has sides with a length of . . .Grade 12 Geometry

What is the maximum number of pieces that an apple can be divided into with . . .Grade 12 Geometry

Each of these five circles is tangent to at least 3 others. The medium sized . . .Grade 12 Geometry

Find the radius of the circle.Grade 12 Geometry

In a city, there were seven bridges. There was a tradition that a newly . . .Grade 12 Geometry

A sphere fits inside a cube. The maximum possible ratio of the volume of the . . .Grade 12 Geometry

I want to cut a wooden cube that is five inches on each side into 125 one-inch . . .Grade 12 Geometry

What line divides the green polygon into two parts of equal area?Grade 12 Geometry

I need 1 + 4 + 9 + 16 + 25 = 55 cubes to build a pyramid with a height of 5 . . .Grade 12 Geometry

I want to place N cubes so that each cube touches every other one. What is . . .Grade 12 Geometry

What is the volume of the second glass compared to the first one?Grade 12 Geometry

The Babylonians used a base 60 number system. What shape inspired them to . . .Grade 12 Geometry

Connect N points on the circumference of a circle. What is the largest number . . .Grade 12 Geometry

I take a map of the city where I live and lay it on my table. There is a . . .Grade 12 Geometry

What is the largest number of intersections of N lines?Grade 12 Geometry

I connected the midpoints of a polygon and constructed a new polygon that was a . . .Grade 12 Geometry

A pyramid and a tetrahedron with edges of the same length are glued together on . . .Grade 12 Geometry

I need 1 + 9 + 25 = 35 cubes to build a pyramid with a height of 3 cubes. . . .Grade 12 Geometry

Inspired by Boris Kordemsky. Four Knights problem: Cut the chessboard into . . .Grade 12 Geometry

Which shape is more symmetrical (i.e. has more planes of symmetries)?Grade 12 Geometry

How many 1x1 squares fit into the large square with the side length 4.8? . . .Grade 12 Geometry

What is the greatest possible number of points of intersection for 11 lines in . . .Grade 12 Geometry

The picture shows three squares with the side lengths of 10, 8, and 4 cm. What . . .Grade 12 Geometry

A trapezoid is formed by cutting off the top part of an isosceles right . . .Grade 12 Geometry

If regular stars are placed as shown to form a complete circle, how many stars . . .Grade 12 Geometry

What fraction of this regular octagon is shaded? Grade 12 Geometry

The stripes have the same width. What part of the square is red?Grade 12 Geometry

A circle goes through two adjacent vertices of a square and it is tangent to . . .Grade 12 Geometry

The figure shows adjacent squares. Find the sum of angles X and Y.Grade 12 Geometry

A helicopter takes me from Lausanne, Switzerland to the Swiss capital Bern in . . .Grade 12 Geometry

What is the probability of breaking a stick into three pieces and forming a . . .Grade 12 Geometry

What is the maximum number of trees that can be planted, not closer than 3 . . .Grade 12 Geometry

A rectangular yard with an area of 24 m^{2} has sides in the ratio 2:3. . . .Grade 12 Geometry

Which triangle has the greatest area?Grade 12 Geometry

Which is a better fit? The smaller the percentage of the ‘area left over,’ . . .Grade 12 Geometry

Two perpendicular lines form four segments with lengths a, b, c, and d. . . .Grade 12 Geometry

The size of an NBA basketball court is about 29 by 16 meters. How many . . .Grade 12 Geometry

How many pentagons are there?Grade 12 Geometry

The golden border of the hexagonal brooch with maximum size 60 mm includes a . . .Grade 12 Geometry

What is the maximum number of sections into which a pancake may be divided by . . .Grade 12 Geometry

If I use 30 g of batter to make a crêpe of 30 cm in diameter, how much batter . . .Grade 12 Geometry

The numbers show the areas of corresponding triangles. What is the area of . . .Grade 12 Geometry

What is the perimeter of a right triangle whose shorter sides are 9 and 12 . . .Grade 12 Geometry

The picture shows a large cube 4 x 4 x 4 that was assembled from one-unit . . .Grade 12 Geometry

What is the largest number of straight lines you can draw through 9 points, so . . .Grade 12 Geometry

John cuts a large piece of cheese into small pieces using straight cuts from a . . .Grade 12 Geometry

Gerry has 24 meters of fence and wants to make a rectangular garden with the . . .Grade 12 Geometry

Find X.Grade 12 Geometry

Take two sheets of A4 paper (210 x 297 millimeters or 8.3 x 11.7 inch). Roll . . .Grade 12 Geometry

Two right-angled triangles have integer side lengths. Whilst all of the sides . . .Grade 12 Geometry

Estimate the maximum number of smaller 1-inch circles that fit in a larger . . .Grade 12 Geometry

There are two paths in a rectangular garden. Find the length of the shorter . . .Grade 12 Geometry

My garden fence creates a ten meters by five meters rectangle. If I reuse all . . .Grade 12 Geometry

Which shape has the smallest perimeter?Grade 12 Geometry

What is the largest distance if the angle B is right?Grade 12 Geometry

Three semicircles are constructed on the hypotenuse and legs of a right angle . . .Grade 12 Data Analysis

There are 2 different data sets. Set 1: 1, 3, 7, 9, 13, 15 Set 2: . . .Grade 12 Data Analysis

Anna has 3 bags of marbles. The first contains 5 white marbles and 5 green . . .Grade 12 Data Analysis

Tom has 3 bags of marbles. The first contains 4 white marbles and 6 green . . .Grade 12 Data Analysis

If the area of the left triangle is 100%, what is the area of the second . . .Grade 12 Data Analysis

John has an average of 89 on his three math exams. To earn an A, he must have . . .Grade 12 Data Analysis

I roll two dice. What is the probability that the second number is greater . . .Grade 12 Data Analysis

How many different 7-digit phone numbers can be used by a phone company? The . . .Grade 12 Data Analysis

The table shows the results of a competition among 5 teams. Each team plays . . .Grade 12 Data Analysis

As each of five eggs is weighed, the average weight increases by one gram each . . .Grade 12 Data Analysis

The probability that two randomly chosen people in a big city are younger than . . .Grade 12 Data Analysis

In a game, you have a 1/5 probability of winning $100 and 4/5 probability of . . .Grade 12 Data Analysis

What is the average of these numbers?Grade 12 Data Analysis

John is sick 6 days per year. The probability of being sick on a Saturday or a . . .Grade 12 Data Analysis

This formula, developed by Austrian mathematician Richard Von Mises, shows the . . .Grade 12 Data Analysis

Five people sit at a round table. What is the probability that they sit in . . .Grade 12 Data Analysis

This formula, developed by Austrian mathematician Richard Von Mises, shows the . . .Grade 12 Data Analysis

A boy begins walking from his starting point. Each hour, he either walks one . . .Grade 12 Data Analysis

What is the units digit of 1! + 2! + 3! + ... + 2011!? 4! means 1 x 2 x 3 x 4Grade 12 Data Analysis

Abbey has a dog Abby. She places 5 tiles with the letters of her surname into . . .Grade 12 Data Analysis

Two princes and two princesses are ready to marry. Everybody independently . . .Grade 12 Data Analysis

I randomly place three crosses into different cells of the grid. What is the . . .Grade 12 Data Analysis

A 4-character password uses exactly two different digits. Each digit can be 0, . . .Grade 12 Data Analysis

After a rodeo, four cowboys have a meeting in a saloon. Each cowboy has only . . .Grade 12 Data Analysis

Two dice are thrown. Two numbers are multiplied. What product of numbers . . .Grade 12 Data Analysis

What is the average of the smaller of three random numbers from 0 to 1?Grade 12 Data Analysis

How many seconds were in 2012?Grade 12 Data Analysis

What is the sum of all 5-digit integers which each use all of the five digits . . .Grade 12 Data Analysis

Make 727 by using three 7s. You can use any math operator that you would . . .Grade 12 Data Analysis

Anna (A), Bill (B), Cindy (C), and Daniel (D) work on a project. (1) . . .Grade 12 Data Analysis

A venture capitalist has choosen to invest in only one of three start-up . . .Grade 12 Data Analysis

How many different cubes can I make by using six different colors such that . . .Grade 12 Data Analysis

In a venture investment fund, all investors continue to invest into a new . . .Grade 12 Data Analysis

Logic puzzle: Counting down from 100 by one, which number comes next?Grade 12 Data Analysis

What is the probability that two dominoes drawn randomly from a standard set . . .Grade 12 Data Analysis

Tom has 3 bags of marbles. The first contains 4 white marbles and 6 green marbles. The . . .Grade 12 Data Analysis

Alex received a 90 on his essay and an 80 on his final. He got a 90 on class . . .Grade 12 Data Analysis

This picture shows the first five rows of Pascal's triangle. What is the sum . . .Grade 12 Data Analysis

What is heavier than a cumulus cloud, which is about 1 cubic kilometer in . . .Grade 12 Data Analysis

Eight bugs are at the eight corners of an equilateral cube. Each bug randomly . . .Grade 12 Data Analysis

Logic question. What is the easiest way to make the following equation . . .Grade 12 Data Analysis

A chess queen attacks all squares along its path horizontally, vertically and . . .Grade 12 Data Analysis

We want to merge 4 companies into one large company. How many ways are there . . .Grade 12 Data Analysis

Find the sum of the series: 1/3 + 1/9 + 1/27 + 1/81 + . . . Grade 12 Data Analysis

What is the average of the largest of N random numbers from 0 to 1?Grade 12 Data Analysis

I want to find the smallest number divisible by 225 that consists of ones and . . .Grade 12 Data Analysis

Place the cards into two boxes so that the probability of randomly drawing a . . .Grade 12 Data Analysis

Alex possesses 52% of a business and the rest belongs to Bill. They take . . .Grade 12 Data Analysis

Find the infinite sum: 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + . . . Grade 12 Data Analysis

A player must match three different numbers chosen from the integers 1 to 30 . . .Grade 12 Data Analysis

The picture shows a subway map. If it takes 3 minutes to go from one station . . .Grade 12 Data Analysis

In a country, a baby is born every 5 seconds, a person dies every 45 seconds, . . .Grade 12 Data Analysis

This is a standard set of dominoes. Choose 2 dominoes at random. What is . . .Grade 12 Data Analysis

A concert includes 3 cello pieces and 3 piano pieces. In how many ways can . . .Grade 12 Data Analysis

Anna and Bill roll a six-sided die. The first person to roll a six wins. Anna . . .Grade 12 Data Analysis

You can throw as many darts as necessary at the board shown in the picture. . . .Grade 12 Data Analysis

You roll two dice. Estimate the expected value on the highest valued die?Grade 12 Data Analysis

John threw 8 fair dimes and Mary 9 dimes. What is the probability that Mary . . .Grade 12 Data Analysis

Estimate the total you pay if the meal costs $29, the tax is 5%, and the tip is . . .Grade 12 Data Analysis

John and I have a glass of milk. He drinks half of it and then I drink half of . . .Grade 12 Data Analysis

Five students Anna, Bill, Craig, Daniel, and Eugene commute by bus. Every . . .Grade 12 Data Analysis

Find the product of 111,111,111 x 111,111,111 Grade 12 Data Analysis

If the probability of observing a white car in 10 minutes on a motorway is . . .Grade 12 Data Analysis

Estimate the probability that no two of four sisters were born in the same day . . .Grade 12 Data Analysis

How many squares are there on a chess board?Grade 12 Data Analysis

The sum of the integers from 1 to 2,000 inclusive is 2,001,000. What is the . . .Grade 12 Data Analysis

My car can travel 20 km on one liter of gas on the motorway and 12 km on one . . .Grade 12 Data Analysis

A 512-page book weighs 800g to the nearest 10g. What is the weight of 200 . . .Grade 12 Data Analysis

When 4 coins are tossed, what is the probability that exactly 2 are heads?Grade 12 Data Analysis

The sum of N consecutive integers is S. Which of the following equations gives . . .Grade 12 Data Analysis

Veryfast Airlines loses 20% of the luggage. Gerry puts his three favorite toys . . .Grade 12 Data Analysis

How many 3x3 squares are there on a chessboard?Grade 12 Data Analysis

95.8% of James' classmates have different numbers of hairs than he has. How . . .Grade 12 Data Analysis

A ball rebounds half of the height from which it is dropped in a sport hall. . . .Grade 12 Data Analysis

When Jane plays against Gerry in her favorite game, the odds are 5 to 3 that . . .Grade 12 Data Analysis

Six dice are thrown. What is the probability that at least three of them have . . .Grade 12 Data Analysis

James the Mathematician wants to find a partner for a serious relationship. He . . .Grade 12 Data Analysis

Steve wonders "Why don’t I have a girlfriend?" He uses the following . . .Grade 12 Data Analysis

Gerry's income is seven-eighths that of Jane. Gerry's expenses are . . .Grade 12 Data Analysis

Which number goes next? 1 1 2 3 5 Grade 12 Data Analysis

The cost of living increased in the first year and it decreased in the second . . .Grade 12 Data Analysis

I got a total of 120 by using five zeros and any mathematical operators. How . . .Grade 12 Data Analysis

If you choose an answer to this question at random, what is the probability . . .Grade 12 Data Analysis

How many ways can five runners take first, second, and third place in a . . .Grade 12 Data Analysis

I bought a 20'' (the diagonal size) laptop with the ratio of the screen width . . .Grade 12 Data Analysis

I throw a coin on a chessboard. The diameter of the coin is a half of the side . . .Grade 12 Data Analysis

Gerry's favorite digit is 7. What is the probability that there is at least . . .Grade 12 Data Analysis

I put red and white chocolate candies into a bag. I randomly took 2 candies, . . .Grade 12 Data Analysis

**Coin landing on its edge** I flip a fair Swiss franc* and it falls in . . .Grade 12 Data Analysis

I roll two dice, one with the left hand and one with the right. If the left . . .Grade 12 Data Analysis

Leslie Green asks: Criminal gangs have been known to pay vagrants to search . . .Grade 12 Data Analysis

Jane was a naughty little girl. When she used to play 2-dice games with her . . .Grade 12 Data Analysis

Gerry tosses 2 coins and Jane tosses 3 coins. What is the probability that . . .Grade 12 Data Analysis

There are 9 houses on a street. The distance between any two adjacent houses is . . .Grade 12 Data Analysis

Martin has ten thousand dollars in the Mad Money's bank account. The interest . . .Grade 12 Data Analysis

A team of two geeks, Jane and Gerry, independently answers true-or-false . . .Grade 12 Data Analysis

Einstein, the hyper-intelligent house cat, is busy walking from one corner of a . . .Grade 12 Data Analysis

Anton, the highest IQ house ant on the planet, is taking his regular nocturnal . . .Grade 12 Data Analysis

Martin, the mathematical mole, has dug an extensive network of underground . . .Grade 12 Data Analysis

Marek, the pan-dimensional super being, has arbitrarily defined his current . . .Grade 12 Data Analysis

Twenty Knights sit around the Round Table in the following order: 1. King . . .Grade 12 Data Analysis

In what numeral system is the phrase correct?**8 + 8 = 10**Grade 12 Data Analysis

Leslie Green asks: quot; The sinusoidal waveform shown has a peak amplitude of . . .Grade 12 Logic

Mr. Smith can read 1 page in 2 minutes. His wife can read 2 pages in 1 minute. . . .Grade 12 Logic

The twins are the same height. They place four identical blocks as shown in . . .Grade 12 Logic

How many two-digit integers are there in which the sum of the digits is equal . . .Grade 12 Logic

Ten years ago, Bob was three times as old as Anna. Today, he is twice as old . . .Grade 12 Logic

Statement 1: There are 3 animals in a room. Statement 2: All of the animals in . . .Grade 12 Logic

How many straight lines are needed to separate each star from all the others?Grade 12 Logic

Two gears, one with 11 teeth and the other one with 18 teeth, have teeth marked . . .Grade 12 Logic

1. At least 1 of these 6 statements is false 2. At least 2 of these 6 . . .Grade 12 Logic

You take half of the syrup and mix it with the water, and then take the same . . .Grade 12 Logic

A hunter met two shepherds, one of whom had three loaves of bread and the . . .Grade 12 Logic

In-Out Machine transforms 111121 into 100. The same machine transforms 121244 . . .Grade 12 Logic

An analog clock loses 15 minutes each hour. If the clock is set correctly at . . .Grade 12 Logic

What is the largest number you can write with just two different digits?Grade 12 Logic

Sixteen European teams enter a football tournament. Each team plays one . . .Grade 12 Logic

The product of 2 integers is 1000. Find the smallest possible sum of these . . .Grade 12 Logic

A lady, attempting to avoid revealing her real age to her husband, says: I'm . . .Grade 12 Logic

The addition shown here has 21 terms and the last element consists of 21 9's. . . .Grade 12 Logic

I put $990 into 10 envelopes. I try to compose all possible whole amounts . . .Grade 12 Logic

If 12 workers take 7 hours to build a brick wall 21 m long and 4 m high, how . . .Grade 12 Logic

Alex has bills of different dollar values. There are five times as many ones . . .Grade 12 Logic

On January 1st, Anna and Bill have $100 each. Each month Anna saves $10 more . . .Grade 12 Logic

Four painters can complete a painting job in 20 days. 12 more painters join . . .Grade 12 Logic

Anna bought 1 slice of mushroom pizza and 2 slices of cheese pizza for a total . . .Grade 12 Logic

There are a number of apples, all of different weights. The 10 lightest apples . . .Grade 12 Logic

John has just had a 1% net pay rise. He used to take home $5,000 a month. He . . .Grade 12 Logic

Which of these diagrams could be drawn without taking the pen off the page and . . .Grade 12 Logic

Each of these seven cells contains one number from 1 to 7, using all seven . . .Grade 12 Logic

Multiply all positive two-digit numbers. How many zeros are there at the end . . .Grade 12 Logic

You have four piles: three piles with real coins and one pile with fake coins. . . .Grade 12 Logic

How many zeros are there at the end of**100!** ?Grade 12 Logic

Use each digit, 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, exactly once to form two . . .Grade 12 Logic

A bee crawls along the sides of the honeycomb hexagons. It has moved from . . .Grade 12 Logic

How many three-digit numbers containing only even digits are divisible by 9?Grade 12 Logic

On a 5 × 5 grid, I place a 1x2 card so that it exactly covers two squares. I . . .Grade 12 Logic

One hundred and thirty shareholders decide to buy 30,000 shares of company A. . . .Grade 12 Logic

A project manager has to determine whether to purchase or rent four cars for a . . .Grade 12 Logic

Which number comes next? 2, 12, 1112, 3112, . . . .Grade 12 Logic

I want to measure exactly six minutes from the moment I touch an hourglass, . . .Grade 12 Logic

Logic puzzle: a secret door. A man approached the door of a secret . . .Grade 12 Logic

One hundred soldiers form a 10 x 10 square. From every column, the tallest . . .Grade 12 Logic

A donkey must transport 900 carrots to the market, which is 300 miles away. . . .Grade 12 Logic

I arrange five marbles randomly in a ring. There are two green and three . . .Grade 12 Logic

You have a part of a black-and-white map of a reef coast. You are at point A . . .Grade 12 Logic

In any 24-hour period, how many times are the digits of a 24-hour digital clock . . .Grade 12 Logic

Alex greeted Bill. Bill greeted Cindy. Alex did not greet Cindy. If the . . .Grade 12 Logic

How many times can you subtract 3 from 10?Grade 12 Logic

There is only one correct answer to the question below. Which answer is . . .Grade 12 Logic

After a three-hour drive, I stopped my car in front of a wall with three doors: . . .Grade 12 Logic

Divide the circles into two disjoint groups so that the sums of the numbers in . . .Grade 12 Logic

I drive to my country house at a constant speed of 100 miles/hour. I . . .Grade 12 Logic

Anna, Beatrice, and Cindy run a 2000-meter race. All of them run at a . . .Grade 12 Logic

Bob earns $48,000 per year and has two weeks of paid vacation. He works five . . .Grade 12 Logic

"Three sailors come across a pile of coconuts. The first sailor takes half of . . .Grade 12 Logic

There are 12 people in a village. They consume 12 coconuts altogether. Each . . .Grade 12 Logic

Vladimir Arnold (1937-2010), one of the greatest 20th century Russian . . .Grade 12 Logic

A committee consists of 7 people. The committee keeps an important object in a . . .Grade 12 Logic

Thinking outside the box: Which statement is correct?Grade 12 Logic

Thinking outside the box. Solve this:Grade 12 Logic

Which number goes next? 1 3 6 10 ?Grade 12 Logic

Which symbol goes next?Grade 12 Logic

Mr. Rapid always starts driving on a road at exactly 7:00 a.m. If he drives on . . .Grade 12 Logic

On an island, three-quarters of the men are married to four-fifths of the . . .Grade 12 Logic

Working alone, Mr. Smith earns the family's monthly budget in 40 calendar days. . . .Grade 12 Logic

The rear tires of a car wear out after 40,000 miles, while the front tires wear . . .Grade 12 Logic

There are 123 part-time employees and 321 full-time employees in a company. . . .Grade 12 Logic

Students at a school are on average 165 cm tall. The average male student . . .Grade 12 Logic

Mary can complete an activity in 40 days. John can complete the activity in 50 . . .Grade 12 Logic

Find the logic: 12345678 rarr; 4 234567 rarr; 2 . . .Grade 12 Logic

How many uninteresting numbers exist? The question is based on the . . .Grade 12 Logic

A 44-month long project is divided into three consecutive activities. The . . .Grade 12 Logic

Sixteen teams enter a football tournament. Each team plays one match against . . .Grade 12 Logic

"This is a capital letter of the alphabet that's been folded just once. Which . . .Grade 12 Logic

Two trains are 1 kilometer apart on a single track railway line. They set off . . .Grade 12 Logic

If each coconut is priced at $9, then the shopkeeper loses $11. If each . . .Grade 12 Logic

Two successive increases of 25% and 25% are followed by two successive . . .Grade 12 Logic

If Gerry gives Jane one apple, they will have the same number of apples. If . . .Grade 12 Logic

At the end of each week, Gerry forgot 50% of what he knew the week before. At . . .Grade 12 Logic

After an hour, Evguenia catches and frees 10 fish. If there are 100 fish in a . . .Grade 12 Logic

Guess!Grade 12 Logic

What is the word coiled inside this circle?Grade 12 Logic

I choose a 4-digit number in which the first digit is one-sixth the last, and . . .Grade 12 Logic

A grandmother prepared bowls of fruit for her family. The only fruits available . . .Grade 12 Logic

On average there are 100,000 strands of hair on a person's head. Hair grows . . .Grade 12 Logic

Gerry won 30% of the first 40% of the annual Discus Throw competitions. What . . .Grade 12 Logic

Six students travel in a car. How many different ways can they take seats if . . .Grade 12 Logic

Crazy Logic. Choose a number.Grade 12 Logic

What is half of work and one third of gentleman?Grade 12 Logic

If you take one third of GOOGLE and two thirds of ATT, what do you get?Grade 12 Logic

What is missing?Grade 12 Logic

Three parrots yell at Gerry every 5, 7 and 9 seconds, respectively. If they . . .Grade 12 Logic

I can cut off 4 circles from a circular sheet of dough. I use the left-overs . . .Grade 12 Logic

There are two gods named Orbis and Fidelis, one on your left, the other on your . . .Grade 12 Logic

Divide the analog watch face with five straight parallel lines so that the sums . . .Grade 12 Logic

Leslie Green asks: I am allergic to washing powder, but I don’t want my . . .Grade 12 Logic

Leslie Green tells a story and asks : It has been several years since the . . .Grade 12 Logic

*Leslie Green asks* A phrase you will hear on the news or from people . . .Grade 12 Logic

The chocolate biscuit factory you are now in charge of has a problem. There are . . .Grade 12 Logic

Leslie Green asks: Peter changes his old fashioned single 100W incandescent . . .Grade 12 Logic

Forty-eight liters of water are poured into an aquarium of dimensions 50cm . . .Grade 12 Logic

You are pitching your new idea to a panel of Venture Capitalists (VCs) to . . .Grade 12 Logic

There are only two handshakes in a meeting: John shakes hands with a person, . . .Grade 12 Applied Math

John works 4-hour shifts at a call center. He earns $4 per hour and $4 per . . .Grade 12 Applied Math

Tom is choosing between two brands of AA batteries for his pocket flashlight. A . . .Grade 12 Applied Math

A taxi company charges $1.75 for the first kilometer and 25 cents for each . . .Grade 12 Applied Math

If 9 workers can build 9 houses in 9 months, then how many months would it . . .Grade 12 Applied Math

Jim sells 80 percent of pineapples he had and throws away 10 percent of the . . .Grade 12 Applied Math

If eight deciliters of Swiss apple juice, priced at $4.00 per liter, are . . .Grade 12 Applied Math

A space rocket has a critical fuel-control system protected by 4 fuel . . .Grade 12 Applied Math

A carnival game offers you the opportunity to bet $1 on a number from 1 through . . .Grade 12 Applied Math

Jane wants to buy a car. The fuel efficiency is two times more important to . . .Grade 12 Applied Math

9 farmers grow 9 apples trees in 9 years. How many years would it take for . . .Grade 12 Applied Math

A bicyclist pedals downhill at 20 km/h (kilometers per hour) and uphill at 10 . . .Grade 12 Applied Math

You have eight dimes; seven are real and one is fake. All the real ones weigh . . .Grade 12 Applied Math

A city hall floor is to be tiled in the following pattern. The hall measures . . .Grade 12 Applied Math

It costs $24 to paint a cube, the cost being proportional to the surface area. . . .Grade 12 Applied Math

The traveling salesman problem: a salesman has to visit 9 towns and return . . .Grade 12 Applied Math

The Chinese postman problem: a postman wants to travel along each road in his . . .Grade 12 Applied Math

The diagram illustrates five villages, A, B, C, D, and E, with the distances . . .Grade 12 Applied Math

The Legend of Carthage: Queen Dido and her followers arrived in North Africa. . . .Grade 12 Applied Math

Anna can complete a project in 40 days. Bill can complete the project in 50 . . .Grade 12 Applied Math

Choose the best advice for a strategic decision to the top management of a . . .Grade 12 Applied Math

You have 240 golden bricks identical in size and appearance but one is lighter . . .Grade 12 Applied Math

I am selling my car. People come to my garage one at a time and make bids to . . .Grade 12 Applied Math

A goldfish needs 1000 cubic inches of water to live in. An aquarium is 20 . . .Grade 12 Applied Math

John's dad pays him $2 for each correct answer he gives in his math homework . . .Grade 12 Applied Math

Bob will work 5 days. Which payment plan should he choose?Grade 12 Applied Math

"Letter frequency. Accurate average letter frequencies can only be gleaned by . . .Grade 12 Applied Math

I gave $120 to Brett, Cindy, and Daniel. Together Brett and Cindy received . . .Grade 12 Applied Math

The diagram shows a road network. All cars drive in one direction from A to F. . . .Grade 12 Applied Math

The Lucas problem. François Édouard Anatole Lucas (1842-1891) was a French . . .Grade 12 Applied Math

A red-line subway train arrives at a station every 5 minutes and stays for 30 . . .Grade 12 Applied Math

Four people arrive at a river at night. There is a narrow bridge, but it can . . .Grade 12 Applied Math

Every year, a man who had a million dollars at the beginning gives away half of . . .Grade 12 Applied Math

The speed of a bus is 25 miles per hour (mph) including stops and 40 mph . . .Grade 12 Applied Math

Job interview logic puzzle in a bank. Which of these pieces of information . . .Grade 12 Applied Math

Wikipedia says that the equator is about 40,075 kilometers (24,901 miles) long; . . .Grade 12 Applied Math

In a game, Anna and Bill take 1, 2, or 3 coins on each turn. The player to . . .Grade 12 Applied Math

John and Mary have square tiles with sizes 2 cm by 2 cm, 4 cm by 4 cm, 6 cm by . . .Grade 12 Applied Math

John and Mary have square tiles with sizes 5 cm by 5 cm, 10 cm by 10 cm, and 15 . . .Grade 12 Applied Math

The size of a swimming pool is 25 x 12.5 meters. How many people must jump . . .Grade 12 Applied Math

Which point cuts the rope into two equal parts?Grade 12 Applied Math

If John walks up an escalator at a rate of one step per second, 12 steps take . . .Grade 12 Applied Math

Two proofreading programs, A and B, discovered 30 and 40 errors, respectively. . . .Grade 12 Applied Math

Anna was planning to buy 10 souvenirs from the honesty shop. She wanted some . . .Grade 12 Applied Math

Water is pumped into an empty swimming pool at a linearly increasing rate, . . .Grade 12 Applied Math

Twenty theater tickets for the first row were randomly distributed among 20 . . .Grade 12 Applied Math

Two years ago, I bought a cottage for $800,000. I was short of money and . . .Grade 12 Applied Math

Mrs. Brown bought 98 boxes of strawberries at $9 per box but 25 % of them were . . .Grade 12 Applied Math

When I put 10 cubes of ice into my glass and they melt, the water doubles its . . .Grade 12 Applied Math

Estimate how many symbols you can write on your body if one symbol requires one . . .Grade 12 Applied Math

A father has left 47 donkeys for you to distribute to his three sons; 1/2 . . .Grade 12 Applied Math

Mary and John manage two different projects and they have a common budget. . . .Grade 12 Applied Math

Management support accelerates the execution of a project by 10% during the . . .Grade 12 Applied Math

There are 190 people in a company including the project managers and CEO. . . .Grade 12 Applied Math

One by one, 40 cars enter a company parking lot with 40 assigned places. The . . .Grade 12 Applied Math

You pay $6 to enter a game. You roll 2 dice. You then have two choices: you . . .Grade 12 Applied Math

I see the reflection of the mountain peak 10 meters from me. I know that the . . .Grade 12 Applied Math

An entrepreneur sells 1,250 tickets for a show, with 20% of them sold with 20% . . .Grade 12 Applied Math

A pirate boat is floating on a lake. The pirates throw a heavy chest with gold . . .Grade 12 Applied Math

A space rocket with 4 engines blew off one of them after one-month of flight. . . .Grade 12 Applied Math

What is the minimum monthly salary you negotiate with your boss if you need . . .Grade 12 Applied Math

What is the total surface area of 100 identical cubes which together have a . . .Grade 12 Applied Math

You have a large supply of 5kg and 12kg weights. Six 5kg weights and one 12kg . . .Grade 12 Applied Math

Gerry plans to swim a total of at least 1000 laps in January. He swims every . . .Grade 12 Applied Math

Texas experiences wide temperature fluctuations within a single day. On . . .Grade 12 Applied Math

James bought a new car for $30,000. Each year it depreciates (loses value) at . . .Grade 12 Applied Math

While eating out Gerry and Jim together tipped their server $7 in total. . . .Grade 12 Applied Math

The water from an open swimming pool evaporates at a rate of 5 gallons per hour . . .Grade 12 Applied Math

The limousine service makes 100 trips Center-Aeroport every day, each of which . . .Grade 12 Applied Math

I decided to use a password that includes 4 different numbers, with each number . . .Grade 12 Applied Math

Gerry drives from his home to Jane's house at 50 mph. How fast must he make . . .Grade 12 Applied Math

Gerry gave half of his money to Jane. Next day, she gave half of all her . . .Grade 12 Applied Math

A district sends, on average, a total of 205 million gallons of water each . . .Grade 12 Applied Math

The manager of a company planned to distribute a $101 bonus to each employee . . .Grade 12 Applied Math

If you have a piece of paper that is 0.1mm = 0.01cm thick, how many times will . . .Grade 12 Applied Math

What is missing?Grade 12 Applied Math

There are 17 parallels and 12 meridians on a globe. Into how many areas is the . . .Grade 12 Applied Math

When Pinocchio lies, his nose gets twice as long. When he tells the truth, his . . .Grade 12 Applied Math

What is average diameter of the logs if the height of the pile is 5.33m?Grade 12 Applied Math

The diagram shows some of the results of a six-person contest. There are two . . .Grade 12 Applied Math

I add blue blocks one by one on the top. Does the structure fail? Grade 12 Applied Math

A worker prepared a block for a pyramid in a day. If every day the number of . . .Grade 12 Applied Math

A girl walked along a level road and up a hill from home and back. Her pace . . .Grade 12 Applied Math

Eugenia wants to make a simple bridge for her dog. Currently he has to run . . .Grade 12 Applied Math

Now that I have made a vast fortune from my patented premium dog biscuits, I . . .Grade 12 Applied Math

There are 10 coins and 5 of them are fake. The real gold coins have the same . . .Grade 12 Applied Math

A train runs from Lausanne to Zurich at 100 km/hour without any stops and . . .Grade 12 Applied Math

Shops have sales all the time to attract your business. Let the buyer beware! . . .Grade 12 Applied Math

Leslie Green asks: My neighbor John has invented a perpetual motion machine. . . .Grade 12 Applied Math

Leslie Green asks quot;Suppose a particular nuclear waste material has a . . .Grade 12 Applied Math

Jane and Gerry compete in a best-of-five match. If Gerry plays so that his . . .Grade 12 Applied Math

There is a fault with the cruise control on Hank's car such that the speed . . .Grade 12 Applied Math

Before his death, a rich man signed his will. quot;If my wife gives birth to . . .Grade 12 Applied Math

Gerry promises to be at Jane's house at 19:00. If he bikes at 15mph, he . . .Grade 12 Applied Math

The train driver knows there is a Granny on board so he wants to give her a . . .Grade 12 Applied Math

You may have heard the expression quot;The shortest distance between two points . . .Grade 12 Applied Math

If $1,000 is invested in an account at 10% annual interest, how long will it . . .Grade 12 Applied Math

Leslie Green asks: Electrical energy can be measured in Joules, but for . . .Grade 12 Applied Math

Leslie Green asks: Suppose the light bulb in your fridge uses 1 Watt when on . . .Grade 12 Applied Math

Leslie Green asks: quot;A professional design standard requires that free . . .Grade 12 Applied Math

A taxi driver called John has 6-week annual holidays. If the average fare is . . .Grade 12 Applied Math

A peasant bought a cow and a horse. Next day, he sold them for $1,800 each, . . .Grade 12 Applied Math

A 1-liter bottle contains a mixture that is 1/4 antifreeze, 3/4 water. A . . .## HOME

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The first person is 100 cm tall. Each subsequent person is 20% taller than the . . .Grade 12 Numbers and Arithmetic

The last digit of the number 7

Find the hundreds digit (third digit from the right) of the product: 44444 x . . .Grade 12 Numbers and Arithmetic

Which gives the largest answer?Grade 12 Numbers and Arithmetic

Which is the sum of all digits of the decimal representation of 5

The sum of the digits of a two-digit number X is Y. The sum of the digits . . .Grade 12 Numbers and Arithmetic

Which gives the largest answer?Grade 12 Numbers and Arithmetic

How many three-digit numbers have exactly five divisors including 1 and itself?Grade 12 Numbers and Arithmetic

Make two fractions with all the digits from 0 to 9. Use each digit once. They . . .Grade 12 Numbers and Arithmetic

What is 2 to the power of 16?Grade 12 Numbers and Arithmetic

If you wrote all the whole numbers from 1 through 1000, how many times would . . .Grade 12 Numbers and Arithmetic

With a 1 after a nine-digit number, it is the same as a 1 before it. Find . . .Grade 12 Numbers and Arithmetic

I multiply the two page numbers and get 6162. What is the right-hand page . . .Grade 12 Numbers and Arithmetic

What are the two last digits of the result? 1999999991 x 2000000009Grade 12 Numbers and Arithmetic

If X

Which number is smaller than the sum of its divisors other than 1 and the . . .Grade 12 Numbers and Arithmetic

Which numeral system states that 7 + 6 = 15Grade 12 Numbers and Arithmetic

How many digits are there in the number 625

Which of the following gives the largest result? Do not use a calculator.Grade 12 Numbers and Arithmetic

Savin's problem: Using each of the digits 1,2,3, and 4 twice, write out an . . .Grade 12 Numbers and Arithmetic

What gives the smallest result? Here we write 0.333 . . . as notation for . . .Grade 12 Numbers and Arithmetic

What is the sum of the first 100 prime numbers? A prime number is a natural . . .Grade 12 Numbers and Arithmetic

The average of 99 consecutive numbers is 99. What is the average of the nine . . .Grade 12 Numbers and Arithmetic

The natural numbers are the counting numbers, like 1, 2, 3, et cetera. An . . .Grade 12 Numbers and Arithmetic

0.999 . . . means infinitely repeating decimals. What is the largest result?Grade 12 Numbers and Arithmetic

A magic square is an arrangement of integers, in a square grid, where the . . .Grade 12 Numbers and Arithmetic

Leslie Green asks: What is the next number in the sequence?

Shakuntala Devi was undoubtedly the most brilliant arithmetic mental calculator . . .Grade 12 Algebra

Choose the condition when the inequality (2 + n)n > (1 + n)n is always true.Grade 12 Algebra

Which of the following points lies on the line 3x + 4y = -12Grade 12 Algebra

Line AB has the equation y = 0.5x + 3 Line CD is parallel to line AB. . . .Grade 12 Algebra

Which equation describes a line of symmetry for the shape?Grade 12 Algebra

Find the center of the prism with the following vertices. A(1,1,1), . . .Grade 12 Algebra

Which of the following graphs represents all values of x, such that: Grade 12 Algebra

How many digits are in the result of the expression? 1001

Which of the following gives the biggest answer?Grade 12 Algebra

If y is the fraction of the white area of the square, which graph shows the y . . .Grade 12 Algebra

How many integer values of x are the solutions of these two inequalities?Grade 12 Algebra

Find the point of intersection of these two lines.Grade 12 Algebra

Which equation represents the axis of symmetry of the graph of the parabola? Grade 12 Algebra

Three points of four are on a line. Which point is not on the line?Grade 12 Algebra

Xia and Yvonne collect buttons. Xia only collects the ones with two holes and . . .Grade 12 Algebra

Ten teams enter a basketball tournament. Each team plays one match against . . .Grade 12 Algebra

How many points of intersection do these three rays have? Grade 12 Algebra

A square game board begins with a dark square alternating with light squares. . . .Grade 12 Algebra

Which function gives the angle in degrees between the hour and the minute hands . . .Grade 12 Algebra

Find Y.Grade 12 Algebra

Estimate the ratio of the large rectangle width to height if the two rectangles . . .Grade 12 Algebra

How many solutions are there for X?Grade 12 Algebra

A swimming pool is 12.5 x 8 x 3 meters. The average volume of a human body is . . .Grade 12 Algebra

In an examination, there were 4000 candidates, of which 2200 candidates were . . .Grade 12 Algebra

A tree increases its number of nuts at the rate of 100% every year. What was . . .Grade 12 Algebra

What amount of water should be added to reduce 200 milliliters of 5 percent fat . . .Grade 12 Algebra

A car starts traveling at an initial speed of 120 km per hour (kmph), the . . .Grade 12 Algebra

What are the smallest and largest integers that will make this expression true? Grade 12 Algebra

Evguenia walked to school. Twelve minutes after she left, Sasha started. His . . .Grade 12 Algebra

There are 190 coconuts in a basket. Sailors one after another take out half of . . .Grade 12 Algebra

The weights of each pair of these boxes are 98kg, 101kg, and 102kg. What is . . .Grade 12 Algebra

Mike’s age, M, is equal to the sum of the ages of his four children. His age N . . .Grade 12 Algebra

Two trains, each 400 meters long, pass each other completely in 10 seconds when . . .Grade 12 Algebra

Two tourists paddled downstream for 2 hours and then upstream for 4 hours. . . .Grade 12 Algebra

A group of 22 scouts goes on a trip. They prepare enough food to last 18 days. . . .Grade 12 Algebra

The Smith family consists of parents, children, and animals. Some of them are . . .Grade 12 Algebra

In a city, sixty percent of the men are married to eighty percent of the women. . . .Grade 12 Algebra

"A coach leaves London for York and another at the same moment leaves York for . . .Grade 12 Algebra

How many "yes or no" questions are needed to guess any 5-digit code?Grade 12 Algebra

A series of 10 books were published at two-year intervals. The sum of the . . .Grade 12 Algebra

The product and sum of two positive integers X and Y are added together. The . . .Grade 12 Algebra

In a recent election, 1111 people voted for two parties. If the ratio of the . . .Grade 12 Algebra

The wind in the open-air swimming pool increases the westward swimming speed . . .Grade 12 Algebra

Find x.Grade 12 Algebra

X + XY + Y = 34 Find all positive integer solutions of the equation, for which . . .Grade 12 Algebra

What is the sum of the squares of the whole numbers from 1 to 10? Grade 12 Algebra

Divine the value of the Divine proportion AC.Grade 12 Algebra

The balance is in equilibrium. Find Z.Grade 12 Algebra

If 3 pens and 5 pencils cost as much as 5 pens and 2 pencils, by how much is a . . .Grade 12 Algebra

Gerry and Jane are exactly 100 km apart. Gerry leaves his place running at 10 . . .Grade 12 Algebra

How many pairs of prime numbers add up to 101? Grade 12 Algebra

The occupancy percentage of a hotel is 64% for the four summer months and 46% . . .Grade 12 Algebra

0.123123123123123 . . . . What fraction is it?Grade 12 Algebra

Water increases its volume by 1/11 when freezing. By what part of its volume . . .Grade 12 Algebra

If the sum of two numbers is 9 and their difference is 11, what is their . . .Grade 12 Algebra

Two men and two women want to cross a river. The boat will only hold one man . . .Grade 12 Algebra

The stand-in mathematics teacher is forced to choose two students to go on a . . .Grade 12 Algebra

Leslie Green asks: Given Cartesian axes of infinite extent, find the ratio . . .Grade 12 Algebra

Find the ratio of the areas above and below the parabola

A grocery store sells Brazilian cacao in 15-kg bags and Ecuadorian cacao in . . .Grade 12 Algebra

A cube is painted on the outside and then divided into one-unit cubes. The . . .Grade 12 Algebra

Which of the following is equal to fourteen divided by nine?Grade 12 Algebra

There are 1000 students in a high school. 20% of girls and 30% of boys were . . .Grade 12 Geometry

A fence around a rectangular garden has a perimeter of 14 meters. Its length . . .Grade 12 Geometry

The volume of water in a glass of V cubic centimeters (cc), varies directly as . . .Grade 12 Geometry

Tim travels 15 meters north of the flag in the football stadium. He turns . . .Grade 12 Geometry

S varies directly as the square of (H+1) S = 121 when H = 10 Find H when S = . . .Grade 12 Geometry

A rectangle has width W, length L, and area A. If integer W ≤ 9 and L . . .Grade 12 Geometry

A wire is wound around a circular rod. The wire goes exactly 5 times around . . .Grade 12 Geometry

Which is the best estimate of the area of the colored shape?Grade 12 Geometry

These two shapes are similar. What is the length of x?Grade 12 Geometry

Identify the area of the rounded square.Grade 12 Geometry

A boy stacked colored cubes in a square pyramid like the one shown here. The . . .Grade 12 Geometry

A six-pointed regular star consists of two areas. What is the ratio of the . . .Grade 12 Geometry

The figure shows a red equilateral triangle inscribed within another . . .Grade 12 Geometry

If the volume of a cube is X cubic meters and the total surface area of the . . .Grade 12 Geometry

The side of the colored square is x cm. What is the area of the red . . .Grade 12 Geometry

The three circles have fixed centers, and the diameter of a circle is 10% less . . .Grade 12 Geometry

L3 and L4 are two parallel lines in a plane. If L3 has 3 points equally . . .Grade 12 Geometry

What is the total number of lines of tangency that are common to circle C1 and . . .Grade 12 Geometry

For this rectangular-faced solid (cuboid), which plane(s) contain(s) B and . . .Grade 12 Geometry

Two similar pyramids have volumes of 216 m

AB is parallel to CD. What is the value of X?Grade 12 Geometry

There are 2 identical circles. Circle A remains fixed, while Circle B makes 1 . . .Grade 12 Geometry

G is the area of the green region inside the biggest circle. R is the total . . .Grade 12 Geometry

The area of the external triangle is equal to 1. Its sides' midpoints are . . .Grade 12 Geometry

The pattern of shading in one quarter of a square is shown in the diagram. . . .Grade 12 Geometry

What is the maximum number of squares you can make using twelve identical . . .Grade 12 Geometry

A gardener has to reach the island in the middle of a pond without getting wet. . . .Grade 12 Geometry

Three reservoirs have the same height h=1. Which reservoir is bigger?Grade 12 Geometry

What is the largest semi-circle that can be inscribed in a square with a side . . .Grade 12 Geometry

Twenty matchsticks form five squares (one 3x3 and four 1x1). How many . . .Grade 12 Geometry

A ladder leans against a vertical wall. The top of the ladder is 4m above the . . .Grade 12 Geometry

If the length of the hour and minute hand of a clock are 3cm and 6cm . . .Grade 12 Geometry

All inner lines connect the corners of the big square and the midpoints of the . . .Grade 12 Geometry

A square is inscribed in a right triangle. Find the greatest possible ratio . . .Grade 12 Geometry

What value of X gives the greatest ratio of red area to the area of the big . . .Grade 12 Geometry

Among the following shapes of equal area, which has the smallest perimeter? Grade 12 Geometry

The sizes of the sealed bottle with water are shown in the figure. Find the . . .Grade 12 Geometry

How many equilateral triangles can you make using six identical line segments? Grade 12 Geometry

The following pattern is cut and folded to a square-based pyramid. What size . . .Grade 12 Geometry

John is using the spinner shown here to define the movement. Blue means one . . .Grade 12 Geometry

How much wrapping paper is needed to entirely cover a box that is 40 cm by 30 . . .Grade 12 Geometry

What is the ratio of the green area to the red area?Grade 12 Geometry

Four squares have dimensions as indicated in the picture. What is the area . . .Grade 12 Geometry

What is the maximum number of possible points of intersection of N different . . .Grade 12 Geometry

The diameter of one hair is 0.2 mm. Estimate the diameter of a plait of 1000 . . .Grade 12 Geometry

Two lines trisect (divide into three equal parts) each side of the polygon . . .Grade 12 Geometry

The shaded rhombus is formed by joining vertices of the square to the midpoints . . .Grade 12 Geometry

The diagram shows 15 billiard balls that fit exactly inside a triangular rack. . . .Grade 12 Geometry

The picture shows the areas of three rectangles. What is the area of the . . .Grade 12 Geometry

Two triangles form seven separate regions. What is the greatest number of . . .Grade 12 Geometry

There are six ways to travel from point S to point F on a small cube if only . . .Grade 12 Geometry

Estimate the area of the smallest square that can enclose the regular hexagon . . .Grade 12 Geometry

A, B, and C are squares with sides of length 1; D, E, and F are isosceles . . .Grade 12 Geometry

I drew three lines from the center of a square that has sides with a length of . . .Grade 12 Geometry

What is the maximum number of pieces that an apple can be divided into with . . .Grade 12 Geometry

Each of these five circles is tangent to at least 3 others. The medium sized . . .Grade 12 Geometry

Find the radius of the circle.Grade 12 Geometry

In a city, there were seven bridges. There was a tradition that a newly . . .Grade 12 Geometry

A sphere fits inside a cube. The maximum possible ratio of the volume of the . . .Grade 12 Geometry

I want to cut a wooden cube that is five inches on each side into 125 one-inch . . .Grade 12 Geometry

What line divides the green polygon into two parts of equal area?Grade 12 Geometry

I need 1 + 4 + 9 + 16 + 25 = 55 cubes to build a pyramid with a height of 5 . . .Grade 12 Geometry

I want to place N cubes so that each cube touches every other one. What is . . .Grade 12 Geometry

What is the volume of the second glass compared to the first one?Grade 12 Geometry

The Babylonians used a base 60 number system. What shape inspired them to . . .Grade 12 Geometry

Connect N points on the circumference of a circle. What is the largest number . . .Grade 12 Geometry

I take a map of the city where I live and lay it on my table. There is a . . .Grade 12 Geometry

What is the largest number of intersections of N lines?Grade 12 Geometry

I connected the midpoints of a polygon and constructed a new polygon that was a . . .Grade 12 Geometry

A pyramid and a tetrahedron with edges of the same length are glued together on . . .Grade 12 Geometry

I need 1 + 9 + 25 = 35 cubes to build a pyramid with a height of 3 cubes. . . .Grade 12 Geometry

Inspired by Boris Kordemsky. Four Knights problem: Cut the chessboard into . . .Grade 12 Geometry

Which shape is more symmetrical (i.e. has more planes of symmetries)?Grade 12 Geometry

How many 1x1 squares fit into the large square with the side length 4.8? . . .Grade 12 Geometry

What is the greatest possible number of points of intersection for 11 lines in . . .Grade 12 Geometry

The picture shows three squares with the side lengths of 10, 8, and 4 cm. What . . .Grade 12 Geometry

A trapezoid is formed by cutting off the top part of an isosceles right . . .Grade 12 Geometry

If regular stars are placed as shown to form a complete circle, how many stars . . .Grade 12 Geometry

What fraction of this regular octagon is shaded? Grade 12 Geometry

The stripes have the same width. What part of the square is red?Grade 12 Geometry

A circle goes through two adjacent vertices of a square and it is tangent to . . .Grade 12 Geometry

The figure shows adjacent squares. Find the sum of angles X and Y.Grade 12 Geometry

A helicopter takes me from Lausanne, Switzerland to the Swiss capital Bern in . . .Grade 12 Geometry

What is the probability of breaking a stick into three pieces and forming a . . .Grade 12 Geometry

What is the maximum number of trees that can be planted, not closer than 3 . . .Grade 12 Geometry

A rectangular yard with an area of 24 m

Which triangle has the greatest area?Grade 12 Geometry

Which is a better fit? The smaller the percentage of the ‘area left over,’ . . .Grade 12 Geometry

Two perpendicular lines form four segments with lengths a, b, c, and d. . . .Grade 12 Geometry

The size of an NBA basketball court is about 29 by 16 meters. How many . . .Grade 12 Geometry

How many pentagons are there?Grade 12 Geometry

The golden border of the hexagonal brooch with maximum size 60 mm includes a . . .Grade 12 Geometry

What is the maximum number of sections into which a pancake may be divided by . . .Grade 12 Geometry

If I use 30 g of batter to make a crêpe of 30 cm in diameter, how much batter . . .Grade 12 Geometry

The numbers show the areas of corresponding triangles. What is the area of . . .Grade 12 Geometry

What is the perimeter of a right triangle whose shorter sides are 9 and 12 . . .Grade 12 Geometry

The picture shows a large cube 4 x 4 x 4 that was assembled from one-unit . . .Grade 12 Geometry

What is the largest number of straight lines you can draw through 9 points, so . . .Grade 12 Geometry

John cuts a large piece of cheese into small pieces using straight cuts from a . . .Grade 12 Geometry

Gerry has 24 meters of fence and wants to make a rectangular garden with the . . .Grade 12 Geometry

Find X.Grade 12 Geometry

Take two sheets of A4 paper (210 x 297 millimeters or 8.3 x 11.7 inch). Roll . . .Grade 12 Geometry

Two right-angled triangles have integer side lengths. Whilst all of the sides . . .Grade 12 Geometry

Estimate the maximum number of smaller 1-inch circles that fit in a larger . . .Grade 12 Geometry

There are two paths in a rectangular garden. Find the length of the shorter . . .Grade 12 Geometry

My garden fence creates a ten meters by five meters rectangle. If I reuse all . . .Grade 12 Geometry

Which shape has the smallest perimeter?Grade 12 Geometry

What is the largest distance if the angle B is right?Grade 12 Geometry

Three semicircles are constructed on the hypotenuse and legs of a right angle . . .Grade 12 Data Analysis

There are 2 different data sets. Set 1: 1, 3, 7, 9, 13, 15 Set 2: . . .Grade 12 Data Analysis

Anna has 3 bags of marbles. The first contains 5 white marbles and 5 green . . .Grade 12 Data Analysis

Tom has 3 bags of marbles. The first contains 4 white marbles and 6 green . . .Grade 12 Data Analysis

If the area of the left triangle is 100%, what is the area of the second . . .Grade 12 Data Analysis

John has an average of 89 on his three math exams. To earn an A, he must have . . .Grade 12 Data Analysis

I roll two dice. What is the probability that the second number is greater . . .Grade 12 Data Analysis

How many different 7-digit phone numbers can be used by a phone company? The . . .Grade 12 Data Analysis

The table shows the results of a competition among 5 teams. Each team plays . . .Grade 12 Data Analysis

As each of five eggs is weighed, the average weight increases by one gram each . . .Grade 12 Data Analysis

The probability that two randomly chosen people in a big city are younger than . . .Grade 12 Data Analysis

In a game, you have a 1/5 probability of winning $100 and 4/5 probability of . . .Grade 12 Data Analysis

What is the average of these numbers?Grade 12 Data Analysis

John is sick 6 days per year. The probability of being sick on a Saturday or a . . .Grade 12 Data Analysis

This formula, developed by Austrian mathematician Richard Von Mises, shows the . . .Grade 12 Data Analysis

Five people sit at a round table. What is the probability that they sit in . . .Grade 12 Data Analysis

This formula, developed by Austrian mathematician Richard Von Mises, shows the . . .Grade 12 Data Analysis

A boy begins walking from his starting point. Each hour, he either walks one . . .Grade 12 Data Analysis

What is the units digit of 1! + 2! + 3! + ... + 2011!? 4! means 1 x 2 x 3 x 4Grade 12 Data Analysis

Abbey has a dog Abby. She places 5 tiles with the letters of her surname into . . .Grade 12 Data Analysis

Two princes and two princesses are ready to marry. Everybody independently . . .Grade 12 Data Analysis

I randomly place three crosses into different cells of the grid. What is the . . .Grade 12 Data Analysis

A 4-character password uses exactly two different digits. Each digit can be 0, . . .Grade 12 Data Analysis

After a rodeo, four cowboys have a meeting in a saloon. Each cowboy has only . . .Grade 12 Data Analysis

Two dice are thrown. Two numbers are multiplied. What product of numbers . . .Grade 12 Data Analysis

What is the average of the smaller of three random numbers from 0 to 1?Grade 12 Data Analysis

How many seconds were in 2012?Grade 12 Data Analysis

What is the sum of all 5-digit integers which each use all of the five digits . . .Grade 12 Data Analysis

Make 727 by using three 7s. You can use any math operator that you would . . .Grade 12 Data Analysis

Anna (A), Bill (B), Cindy (C), and Daniel (D) work on a project. (1) . . .Grade 12 Data Analysis

A venture capitalist has choosen to invest in only one of three start-up . . .Grade 12 Data Analysis

How many different cubes can I make by using six different colors such that . . .Grade 12 Data Analysis

In a venture investment fund, all investors continue to invest into a new . . .Grade 12 Data Analysis

Logic puzzle: Counting down from 100 by one, which number comes next?Grade 12 Data Analysis

What is the probability that two dominoes drawn randomly from a standard set . . .Grade 12 Data Analysis

Tom has 3 bags of marbles. The first contains 4 white marbles and 6 green marbles. The . . .Grade 12 Data Analysis

Alex received a 90 on his essay and an 80 on his final. He got a 90 on class . . .Grade 12 Data Analysis

This picture shows the first five rows of Pascal's triangle. What is the sum . . .Grade 12 Data Analysis

What is heavier than a cumulus cloud, which is about 1 cubic kilometer in . . .Grade 12 Data Analysis

Eight bugs are at the eight corners of an equilateral cube. Each bug randomly . . .Grade 12 Data Analysis

Logic question. What is the easiest way to make the following equation . . .Grade 12 Data Analysis

A chess queen attacks all squares along its path horizontally, vertically and . . .Grade 12 Data Analysis

We want to merge 4 companies into one large company. How many ways are there . . .Grade 12 Data Analysis

Find the sum of the series: 1/3 + 1/9 + 1/27 + 1/81 + . . . Grade 12 Data Analysis

What is the average of the largest of N random numbers from 0 to 1?Grade 12 Data Analysis

I want to find the smallest number divisible by 225 that consists of ones and . . .Grade 12 Data Analysis

Place the cards into two boxes so that the probability of randomly drawing a . . .Grade 12 Data Analysis

Alex possesses 52% of a business and the rest belongs to Bill. They take . . .Grade 12 Data Analysis

Find the infinite sum: 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + . . . Grade 12 Data Analysis

A player must match three different numbers chosen from the integers 1 to 30 . . .Grade 12 Data Analysis

The picture shows a subway map. If it takes 3 minutes to go from one station . . .Grade 12 Data Analysis

In a country, a baby is born every 5 seconds, a person dies every 45 seconds, . . .Grade 12 Data Analysis

This is a standard set of dominoes. Choose 2 dominoes at random. What is . . .Grade 12 Data Analysis

A concert includes 3 cello pieces and 3 piano pieces. In how many ways can . . .Grade 12 Data Analysis

Anna and Bill roll a six-sided die. The first person to roll a six wins. Anna . . .Grade 12 Data Analysis

You can throw as many darts as necessary at the board shown in the picture. . . .Grade 12 Data Analysis

You roll two dice. Estimate the expected value on the highest valued die?Grade 12 Data Analysis

John threw 8 fair dimes and Mary 9 dimes. What is the probability that Mary . . .Grade 12 Data Analysis

Estimate the total you pay if the meal costs $29, the tax is 5%, and the tip is . . .Grade 12 Data Analysis

John and I have a glass of milk. He drinks half of it and then I drink half of . . .Grade 12 Data Analysis

Five students Anna, Bill, Craig, Daniel, and Eugene commute by bus. Every . . .Grade 12 Data Analysis

Find the product of 111,111,111 x 111,111,111 Grade 12 Data Analysis

If the probability of observing a white car in 10 minutes on a motorway is . . .Grade 12 Data Analysis

Estimate the probability that no two of four sisters were born in the same day . . .Grade 12 Data Analysis

How many squares are there on a chess board?Grade 12 Data Analysis

The sum of the integers from 1 to 2,000 inclusive is 2,001,000. What is the . . .Grade 12 Data Analysis

My car can travel 20 km on one liter of gas on the motorway and 12 km on one . . .Grade 12 Data Analysis

A 512-page book weighs 800g to the nearest 10g. What is the weight of 200 . . .Grade 12 Data Analysis

When 4 coins are tossed, what is the probability that exactly 2 are heads?Grade 12 Data Analysis

The sum of N consecutive integers is S. Which of the following equations gives . . .Grade 12 Data Analysis

Veryfast Airlines loses 20% of the luggage. Gerry puts his three favorite toys . . .Grade 12 Data Analysis

How many 3x3 squares are there on a chessboard?Grade 12 Data Analysis

95.8% of James' classmates have different numbers of hairs than he has. How . . .Grade 12 Data Analysis

A ball rebounds half of the height from which it is dropped in a sport hall. . . .Grade 12 Data Analysis

When Jane plays against Gerry in her favorite game, the odds are 5 to 3 that . . .Grade 12 Data Analysis

Six dice are thrown. What is the probability that at least three of them have . . .Grade 12 Data Analysis

James the Mathematician wants to find a partner for a serious relationship. He . . .Grade 12 Data Analysis

Steve wonders "Why don’t I have a girlfriend?" He uses the following . . .Grade 12 Data Analysis

Gerry's income is seven-eighths that of Jane. Gerry's expenses are . . .Grade 12 Data Analysis

Which number goes next? 1 1 2 3 5 Grade 12 Data Analysis

The cost of living increased in the first year and it decreased in the second . . .Grade 12 Data Analysis

I got a total of 120 by using five zeros and any mathematical operators. How . . .Grade 12 Data Analysis

If you choose an answer to this question at random, what is the probability . . .Grade 12 Data Analysis

How many ways can five runners take first, second, and third place in a . . .Grade 12 Data Analysis

I bought a 20'' (the diagonal size) laptop with the ratio of the screen width . . .Grade 12 Data Analysis

I throw a coin on a chessboard. The diameter of the coin is a half of the side . . .Grade 12 Data Analysis

Gerry's favorite digit is 7. What is the probability that there is at least . . .Grade 12 Data Analysis

I put red and white chocolate candies into a bag. I randomly took 2 candies, . . .Grade 12 Data Analysis

I roll two dice, one with the left hand and one with the right. If the left . . .Grade 12 Data Analysis

Leslie Green asks: Criminal gangs have been known to pay vagrants to search . . .Grade 12 Data Analysis

Jane was a naughty little girl. When she used to play 2-dice games with her . . .Grade 12 Data Analysis

Gerry tosses 2 coins and Jane tosses 3 coins. What is the probability that . . .Grade 12 Data Analysis

There are 9 houses on a street. The distance between any two adjacent houses is . . .Grade 12 Data Analysis

Martin has ten thousand dollars in the Mad Money's bank account. The interest . . .Grade 12 Data Analysis

A team of two geeks, Jane and Gerry, independently answers true-or-false . . .Grade 12 Data Analysis

Einstein, the hyper-intelligent house cat, is busy walking from one corner of a . . .Grade 12 Data Analysis

Anton, the highest IQ house ant on the planet, is taking his regular nocturnal . . .Grade 12 Data Analysis

Martin, the mathematical mole, has dug an extensive network of underground . . .Grade 12 Data Analysis

Marek, the pan-dimensional super being, has arbitrarily defined his current . . .Grade 12 Data Analysis

Twenty Knights sit around the Round Table in the following order: 1. King . . .Grade 12 Data Analysis

In what numeral system is the phrase correct?

Leslie Green asks: quot; The sinusoidal waveform shown has a peak amplitude of . . .Grade 12 Logic

Mr. Smith can read 1 page in 2 minutes. His wife can read 2 pages in 1 minute. . . .Grade 12 Logic

The twins are the same height. They place four identical blocks as shown in . . .Grade 12 Logic

How many two-digit integers are there in which the sum of the digits is equal . . .Grade 12 Logic

Ten years ago, Bob was three times as old as Anna. Today, he is twice as old . . .Grade 12 Logic

Statement 1: There are 3 animals in a room. Statement 2: All of the animals in . . .Grade 12 Logic

How many straight lines are needed to separate each star from all the others?Grade 12 Logic

Two gears, one with 11 teeth and the other one with 18 teeth, have teeth marked . . .Grade 12 Logic

1. At least 1 of these 6 statements is false 2. At least 2 of these 6 . . .Grade 12 Logic

You take half of the syrup and mix it with the water, and then take the same . . .Grade 12 Logic

A hunter met two shepherds, one of whom had three loaves of bread and the . . .Grade 12 Logic

In-Out Machine transforms 111121 into 100. The same machine transforms 121244 . . .Grade 12 Logic

An analog clock loses 15 minutes each hour. If the clock is set correctly at . . .Grade 12 Logic

What is the largest number you can write with just two different digits?Grade 12 Logic

Sixteen European teams enter a football tournament. Each team plays one . . .Grade 12 Logic

The product of 2 integers is 1000. Find the smallest possible sum of these . . .Grade 12 Logic

A lady, attempting to avoid revealing her real age to her husband, says: I'm . . .Grade 12 Logic

The addition shown here has 21 terms and the last element consists of 21 9's. . . .Grade 12 Logic

I put $990 into 10 envelopes. I try to compose all possible whole amounts . . .Grade 12 Logic

If 12 workers take 7 hours to build a brick wall 21 m long and 4 m high, how . . .Grade 12 Logic

Alex has bills of different dollar values. There are five times as many ones . . .Grade 12 Logic

On January 1st, Anna and Bill have $100 each. Each month Anna saves $10 more . . .Grade 12 Logic

Four painters can complete a painting job in 20 days. 12 more painters join . . .Grade 12 Logic

Anna bought 1 slice of mushroom pizza and 2 slices of cheese pizza for a total . . .Grade 12 Logic

There are a number of apples, all of different weights. The 10 lightest apples . . .Grade 12 Logic

John has just had a 1% net pay rise. He used to take home $5,000 a month. He . . .Grade 12 Logic

Which of these diagrams could be drawn without taking the pen off the page and . . .Grade 12 Logic

Each of these seven cells contains one number from 1 to 7, using all seven . . .Grade 12 Logic

Multiply all positive two-digit numbers. How many zeros are there at the end . . .Grade 12 Logic

You have four piles: three piles with real coins and one pile with fake coins. . . .Grade 12 Logic

How many zeros are there at the end of

Use each digit, 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, exactly once to form two . . .Grade 12 Logic

A bee crawls along the sides of the honeycomb hexagons. It has moved from . . .Grade 12 Logic

How many three-digit numbers containing only even digits are divisible by 9?Grade 12 Logic

On a 5 × 5 grid, I place a 1x2 card so that it exactly covers two squares. I . . .Grade 12 Logic

One hundred and thirty shareholders decide to buy 30,000 shares of company A. . . .Grade 12 Logic

A project manager has to determine whether to purchase or rent four cars for a . . .Grade 12 Logic

Which number comes next? 2, 12, 1112, 3112, . . . .Grade 12 Logic

I want to measure exactly six minutes from the moment I touch an hourglass, . . .Grade 12 Logic

Logic puzzle: a secret door. A man approached the door of a secret . . .Grade 12 Logic

One hundred soldiers form a 10 x 10 square. From every column, the tallest . . .Grade 12 Logic

A donkey must transport 900 carrots to the market, which is 300 miles away. . . .Grade 12 Logic

I arrange five marbles randomly in a ring. There are two green and three . . .Grade 12 Logic

You have a part of a black-and-white map of a reef coast. You are at point A . . .Grade 12 Logic

In any 24-hour period, how many times are the digits of a 24-hour digital clock . . .Grade 12 Logic

Alex greeted Bill. Bill greeted Cindy. Alex did not greet Cindy. If the . . .Grade 12 Logic

How many times can you subtract 3 from 10?Grade 12 Logic

There is only one correct answer to the question below. Which answer is . . .Grade 12 Logic

After a three-hour drive, I stopped my car in front of a wall with three doors: . . .Grade 12 Logic

Divide the circles into two disjoint groups so that the sums of the numbers in . . .Grade 12 Logic

I drive to my country house at a constant speed of 100 miles/hour. I . . .Grade 12 Logic

Anna, Beatrice, and Cindy run a 2000-meter race. All of them run at a . . .Grade 12 Logic

Bob earns $48,000 per year and has two weeks of paid vacation. He works five . . .Grade 12 Logic

"Three sailors come across a pile of coconuts. The first sailor takes half of . . .Grade 12 Logic

There are 12 people in a village. They consume 12 coconuts altogether. Each . . .Grade 12 Logic

Vladimir Arnold (1937-2010), one of the greatest 20th century Russian . . .Grade 12 Logic

A committee consists of 7 people. The committee keeps an important object in a . . .Grade 12 Logic

Thinking outside the box: Which statement is correct?Grade 12 Logic

Thinking outside the box. Solve this:Grade 12 Logic

Which number goes next? 1 3 6 10 ?Grade 12 Logic

Which symbol goes next?Grade 12 Logic

Mr. Rapid always starts driving on a road at exactly 7:00 a.m. If he drives on . . .Grade 12 Logic

On an island, three-quarters of the men are married to four-fifths of the . . .Grade 12 Logic

Working alone, Mr. Smith earns the family's monthly budget in 40 calendar days. . . .Grade 12 Logic

The rear tires of a car wear out after 40,000 miles, while the front tires wear . . .Grade 12 Logic

There are 123 part-time employees and 321 full-time employees in a company. . . .Grade 12 Logic

Students at a school are on average 165 cm tall. The average male student . . .Grade 12 Logic

Mary can complete an activity in 40 days. John can complete the activity in 50 . . .Grade 12 Logic

Find the logic: 12345678 rarr; 4 234567 rarr; 2 . . .Grade 12 Logic

How many uninteresting numbers exist? The question is based on the . . .Grade 12 Logic

A 44-month long project is divided into three consecutive activities. The . . .Grade 12 Logic

Sixteen teams enter a football tournament. Each team plays one match against . . .Grade 12 Logic

"This is a capital letter of the alphabet that's been folded just once. Which . . .Grade 12 Logic

Two trains are 1 kilometer apart on a single track railway line. They set off . . .Grade 12 Logic

If each coconut is priced at $9, then the shopkeeper loses $11. If each . . .Grade 12 Logic

Two successive increases of 25% and 25% are followed by two successive . . .Grade 12 Logic

If Gerry gives Jane one apple, they will have the same number of apples. If . . .Grade 12 Logic

At the end of each week, Gerry forgot 50% of what he knew the week before. At . . .Grade 12 Logic

After an hour, Evguenia catches and frees 10 fish. If there are 100 fish in a . . .Grade 12 Logic

Guess!Grade 12 Logic

What is the word coiled inside this circle?Grade 12 Logic

I choose a 4-digit number in which the first digit is one-sixth the last, and . . .Grade 12 Logic

A grandmother prepared bowls of fruit for her family. The only fruits available . . .Grade 12 Logic

On average there are 100,000 strands of hair on a person's head. Hair grows . . .Grade 12 Logic

Gerry won 30% of the first 40% of the annual Discus Throw competitions. What . . .Grade 12 Logic

Six students travel in a car. How many different ways can they take seats if . . .Grade 12 Logic

Crazy Logic. Choose a number.Grade 12 Logic

What is half of work and one third of gentleman?Grade 12 Logic

If you take one third of GOOGLE and two thirds of ATT, what do you get?Grade 12 Logic

What is missing?Grade 12 Logic

Three parrots yell at Gerry every 5, 7 and 9 seconds, respectively. If they . . .Grade 12 Logic

I can cut off 4 circles from a circular sheet of dough. I use the left-overs . . .Grade 12 Logic

There are two gods named Orbis and Fidelis, one on your left, the other on your . . .Grade 12 Logic

Divide the analog watch face with five straight parallel lines so that the sums . . .Grade 12 Logic

Leslie Green asks: I am allergic to washing powder, but I don’t want my . . .Grade 12 Logic

Leslie Green tells a story and asks : It has been several years since the . . .Grade 12 Logic

The chocolate biscuit factory you are now in charge of has a problem. There are . . .Grade 12 Logic

Leslie Green asks: Peter changes his old fashioned single 100W incandescent . . .Grade 12 Logic

Forty-eight liters of water are poured into an aquarium of dimensions 50cm . . .Grade 12 Logic

You are pitching your new idea to a panel of Venture Capitalists (VCs) to . . .Grade 12 Logic

There are only two handshakes in a meeting: John shakes hands with a person, . . .Grade 12 Applied Math

John works 4-hour shifts at a call center. He earns $4 per hour and $4 per . . .Grade 12 Applied Math

Tom is choosing between two brands of AA batteries for his pocket flashlight. A . . .Grade 12 Applied Math

A taxi company charges $1.75 for the first kilometer and 25 cents for each . . .Grade 12 Applied Math

If 9 workers can build 9 houses in 9 months, then how many months would it . . .Grade 12 Applied Math

Jim sells 80 percent of pineapples he had and throws away 10 percent of the . . .Grade 12 Applied Math

If eight deciliters of Swiss apple juice, priced at $4.00 per liter, are . . .Grade 12 Applied Math

A space rocket has a critical fuel-control system protected by 4 fuel . . .Grade 12 Applied Math

A carnival game offers you the opportunity to bet $1 on a number from 1 through . . .Grade 12 Applied Math

Jane wants to buy a car. The fuel efficiency is two times more important to . . .Grade 12 Applied Math

9 farmers grow 9 apples trees in 9 years. How many years would it take for . . .Grade 12 Applied Math

A bicyclist pedals downhill at 20 km/h (kilometers per hour) and uphill at 10 . . .Grade 12 Applied Math

You have eight dimes; seven are real and one is fake. All the real ones weigh . . .Grade 12 Applied Math

A city hall floor is to be tiled in the following pattern. The hall measures . . .Grade 12 Applied Math

It costs $24 to paint a cube, the cost being proportional to the surface area. . . .Grade 12 Applied Math

The traveling salesman problem: a salesman has to visit 9 towns and return . . .Grade 12 Applied Math

The Chinese postman problem: a postman wants to travel along each road in his . . .Grade 12 Applied Math

The diagram illustrates five villages, A, B, C, D, and E, with the distances . . .Grade 12 Applied Math

The Legend of Carthage: Queen Dido and her followers arrived in North Africa. . . .Grade 12 Applied Math

Anna can complete a project in 40 days. Bill can complete the project in 50 . . .Grade 12 Applied Math

Choose the best advice for a strategic decision to the top management of a . . .Grade 12 Applied Math

You have 240 golden bricks identical in size and appearance but one is lighter . . .Grade 12 Applied Math

I am selling my car. People come to my garage one at a time and make bids to . . .Grade 12 Applied Math

A goldfish needs 1000 cubic inches of water to live in. An aquarium is 20 . . .Grade 12 Applied Math

John's dad pays him $2 for each correct answer he gives in his math homework . . .Grade 12 Applied Math

Bob will work 5 days. Which payment plan should he choose?Grade 12 Applied Math

"Letter frequency. Accurate average letter frequencies can only be gleaned by . . .Grade 12 Applied Math

I gave $120 to Brett, Cindy, and Daniel. Together Brett and Cindy received . . .Grade 12 Applied Math

The diagram shows a road network. All cars drive in one direction from A to F. . . .Grade 12 Applied Math

The Lucas problem. François Édouard Anatole Lucas (1842-1891) was a French . . .Grade 12 Applied Math

A red-line subway train arrives at a station every 5 minutes and stays for 30 . . .Grade 12 Applied Math

Four people arrive at a river at night. There is a narrow bridge, but it can . . .Grade 12 Applied Math

Every year, a man who had a million dollars at the beginning gives away half of . . .Grade 12 Applied Math

The speed of a bus is 25 miles per hour (mph) including stops and 40 mph . . .Grade 12 Applied Math

Job interview logic puzzle in a bank. Which of these pieces of information . . .Grade 12 Applied Math

Wikipedia says that the equator is about 40,075 kilometers (24,901 miles) long; . . .Grade 12 Applied Math

In a game, Anna and Bill take 1, 2, or 3 coins on each turn. The player to . . .Grade 12 Applied Math

John and Mary have square tiles with sizes 2 cm by 2 cm, 4 cm by 4 cm, 6 cm by . . .Grade 12 Applied Math

John and Mary have square tiles with sizes 5 cm by 5 cm, 10 cm by 10 cm, and 15 . . .Grade 12 Applied Math

The size of a swimming pool is 25 x 12.5 meters. How many people must jump . . .Grade 12 Applied Math

Which point cuts the rope into two equal parts?Grade 12 Applied Math

If John walks up an escalator at a rate of one step per second, 12 steps take . . .Grade 12 Applied Math

Two proofreading programs, A and B, discovered 30 and 40 errors, respectively. . . .Grade 12 Applied Math

Anna was planning to buy 10 souvenirs from the honesty shop. She wanted some . . .Grade 12 Applied Math

Water is pumped into an empty swimming pool at a linearly increasing rate, . . .Grade 12 Applied Math

Twenty theater tickets for the first row were randomly distributed among 20 . . .Grade 12 Applied Math

Two years ago, I bought a cottage for $800,000. I was short of money and . . .Grade 12 Applied Math

Mrs. Brown bought 98 boxes of strawberries at $9 per box but 25 % of them were . . .Grade 12 Applied Math

When I put 10 cubes of ice into my glass and they melt, the water doubles its . . .Grade 12 Applied Math

Estimate how many symbols you can write on your body if one symbol requires one . . .Grade 12 Applied Math

A father has left 47 donkeys for you to distribute to his three sons; 1/2 . . .Grade 12 Applied Math

Mary and John manage two different projects and they have a common budget. . . .Grade 12 Applied Math

Management support accelerates the execution of a project by 10% during the . . .Grade 12 Applied Math

There are 190 people in a company including the project managers and CEO. . . .Grade 12 Applied Math

One by one, 40 cars enter a company parking lot with 40 assigned places. The . . .Grade 12 Applied Math

You pay $6 to enter a game. You roll 2 dice. You then have two choices: you . . .Grade 12 Applied Math

I see the reflection of the mountain peak 10 meters from me. I know that the . . .Grade 12 Applied Math

An entrepreneur sells 1,250 tickets for a show, with 20% of them sold with 20% . . .Grade 12 Applied Math

A pirate boat is floating on a lake. The pirates throw a heavy chest with gold . . .Grade 12 Applied Math

A space rocket with 4 engines blew off one of them after one-month of flight. . . .Grade 12 Applied Math

What is the minimum monthly salary you negotiate with your boss if you need . . .Grade 12 Applied Math

What is the total surface area of 100 identical cubes which together have a . . .Grade 12 Applied Math

You have a large supply of 5kg and 12kg weights. Six 5kg weights and one 12kg . . .Grade 12 Applied Math

Gerry plans to swim a total of at least 1000 laps in January. He swims every . . .Grade 12 Applied Math

Texas experiences wide temperature fluctuations within a single day. On . . .Grade 12 Applied Math

James bought a new car for $30,000. Each year it depreciates (loses value) at . . .Grade 12 Applied Math

While eating out Gerry and Jim together tipped their server $7 in total. . . .Grade 12 Applied Math

The water from an open swimming pool evaporates at a rate of 5 gallons per hour . . .Grade 12 Applied Math

The limousine service makes 100 trips Center-Aeroport every day, each of which . . .Grade 12 Applied Math

I decided to use a password that includes 4 different numbers, with each number . . .Grade 12 Applied Math

Gerry drives from his home to Jane's house at 50 mph. How fast must he make . . .Grade 12 Applied Math

Gerry gave half of his money to Jane. Next day, she gave half of all her . . .Grade 12 Applied Math

A district sends, on average, a total of 205 million gallons of water each . . .Grade 12 Applied Math

The manager of a company planned to distribute a $101 bonus to each employee . . .Grade 12 Applied Math

If you have a piece of paper that is 0.1mm = 0.01cm thick, how many times will . . .Grade 12 Applied Math

What is missing?Grade 12 Applied Math

There are 17 parallels and 12 meridians on a globe. Into how many areas is the . . .Grade 12 Applied Math

When Pinocchio lies, his nose gets twice as long. When he tells the truth, his . . .Grade 12 Applied Math

What is average diameter of the logs if the height of the pile is 5.33m?Grade 12 Applied Math

The diagram shows some of the results of a six-person contest. There are two . . .Grade 12 Applied Math

I add blue blocks one by one on the top. Does the structure fail? Grade 12 Applied Math

A worker prepared a block for a pyramid in a day. If every day the number of . . .Grade 12 Applied Math

A girl walked along a level road and up a hill from home and back. Her pace . . .Grade 12 Applied Math

Eugenia wants to make a simple bridge for her dog. Currently he has to run . . .Grade 12 Applied Math

Now that I have made a vast fortune from my patented premium dog biscuits, I . . .Grade 12 Applied Math

There are 10 coins and 5 of them are fake. The real gold coins have the same . . .Grade 12 Applied Math

A train runs from Lausanne to Zurich at 100 km/hour without any stops and . . .Grade 12 Applied Math

Shops have sales all the time to attract your business. Let the buyer beware! . . .Grade 12 Applied Math

Leslie Green asks: My neighbor John has invented a perpetual motion machine. . . .Grade 12 Applied Math

Leslie Green asks quot;Suppose a particular nuclear waste material has a . . .Grade 12 Applied Math

Jane and Gerry compete in a best-of-five match. If Gerry plays so that his . . .Grade 12 Applied Math

There is a fault with the cruise control on Hank's car such that the speed . . .Grade 12 Applied Math

Before his death, a rich man signed his will. quot;If my wife gives birth to . . .Grade 12 Applied Math

Gerry promises to be at Jane's house at 19:00. If he bikes at 15mph, he . . .Grade 12 Applied Math

The train driver knows there is a Granny on board so he wants to give her a . . .Grade 12 Applied Math

You may have heard the expression quot;The shortest distance between two points . . .Grade 12 Applied Math

If $1,000 is invested in an account at 10% annual interest, how long will it . . .Grade 12 Applied Math

Leslie Green asks: Electrical energy can be measured in Joules, but for . . .Grade 12 Applied Math

Leslie Green asks: Suppose the light bulb in your fridge uses 1 Watt when on . . .Grade 12 Applied Math

Leslie Green asks: quot;A professional design standard requires that free . . .Grade 12 Applied Math

A taxi driver called John has 6-week annual holidays. If the average fare is . . .Grade 12 Applied Math

A peasant bought a cow and a horse. Next day, he sold them for $1,800 each, . . .Grade 12 Applied Math

A 1-liter bottle contains a mixture that is 1/4 antifreeze, 3/4 water. A . . .

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