Find the set of four positive consecutive integers such that the sum of the cubes of the first three is the cube of the fourth.
(5 x 105) + (4 x 104) + (3 x 103) + (2 x 102) + (1 x 101) + (0 x 100)
written in standard form?
The diagram shows two sets of numbers: set A and set B.
Find the correct descriptions for sets A and B.
What whole number 'X' makes this statement true?
Remember, there may be more than one correct answer.
You can purchase or rent a car.
The car is available at a rental fee of $250 per day (all inclusive).
Purchasing the car costs you $50,000 for the investment and $50 per day.
After how many days would the cost of renting and purchasing be equal?
Choose the answer without using a calculator.
I multiply together the following numbers:
6, 7, 8, 9, 10, 11, 12, 13, 14 and 15
How many zeros are at the end of the product?
Two positive numbers B and E are at the same distance from 1.
Which point on the number line represents the product of the numbers B and E?
How many steps are required to break an M x N bar of chocolate into 1 x 1 pieces?
You cannot break two or more pieces at once.
Three large glasses of juice contain the same amount as four medium glasses.
Three medium glasses of juice contain the same amount as four small glasses.
How many small glasses contain the same amount as nine large glasses?
Four sisters are all 2.5 years apart in age.
The total of their ages is equal to 29 years.
How old is the oldest sister?
If you need 6 blocks for a 3-step staircase, how many blocks would you need for a 13-step staircase?
A4321 is a five-digit number in which A is a digit and the number is evenly divisible by 9.
Find the value of A.
Anna has an average of 85 on 4 different tests.
If the lowest score is dropped, her average rises to 90.
What is her lowest score?
A box with 80 matches weighs 60 grams.
The same box with 40 matches weights 40 grams.
Find the weight of the box.
Each boy danced with exactly three girls and each girl danced with exactly four boys at a party.
If thirty-five students attended the party, how many boys were there?
Multimedia Messaging Service, or MMS, is a standard way to send messages that contain multimedia content to and from mobile phones.
Every student in a seventh grade class sends a MMS to each of the other students in the class.
There are 210 messages.
How many students are there in the class?
A baby is born every six hours, three deaths occur every week, and five foreigners come every month to an island.
How many people are added to the population of the island each year?
The profit, P, a stadium makes selling X tickets can be determined by the formula
P = 12 X - 9000
If the stadium made a profit of $12 on a game, how many tickets were sold?
A picture that measures 9 inches by 16 inches is enlarged to 4 times its area.
What are the new dimensions?
Two numbers are such that their difference, their sum, and their product are in the ratio 1 : 3 : 8.
What are the two numbers?
I have 1 ton of coins that are 80% gold and 20% copper.
I want to melt them down and add enough gold to make a large 90% gold coin.
How much gold should be added?
At a business meeting, each shakes hands with 7 other people.
If there are 56 handshakes, how many people are there?
A girl rides her bike 4 km in 15 minutes. How long will it take her to ride 15 km, assuming she doesn't get tired?
John borrows $3,000 to pay for new furniture.
He will pay back the loan by making 12 monthly payments of $333.
How much does the loan cost?
Gerry walks half a distance at 4mph and runs back the other half faster.
If the total distance is 12 miles and it takes 2 hours for the entire trip, how fast does he run?
When a glass is a quarter empty it contains 110 ml more than when it is a quarter full.
How many milliliters does the glass hold when it is full?
Fifty-five litres of apple juice are bottled in 90 bottles.
Some of them have volumes of 0.5 litre, the others have volumes of 0.75 litre.
How many of the small bottles were used?