ID 403

The reservoir is 70 cm wide, 70 cm long and 50 cm high. The wall thickness is 10 cm.

Which is the smallest volume?

The reservoir lays on a concrete foundation and you do not need to take into account the bottom.

ID 405

ID 407

ID 408

A symmetrical figure can be folded in half and have both sides match exactly.

Of the 26 capital letters, how many are symmetrical along the vertical axis?

ID 409

A wooden cube measures 10 cm on an edge.

What is the greatest number of small cubes that can be obtained by cutting the big cube?

ID 411

What is the area of the colored shape?

ID 413

In the figure, each number represents the length of the nearest segment.
All corner angles are right angles.

What is the area of the figure?

ID 414

The figure shows a pentagon and its exterior angles.

Find the sum of the exterior angles.

ID 415

Which of these shapes has the smallest area?

ID 418

What is the total number of lines of symmetry that can be drawn on the shape?

ID 419

There are two points A and B on the grid.
We want to plot two more points and then connect all four points to form a square.

Which two points should we plot to form a square?

ID 421

What is the area, in square units, of the polygon?

ID 422

Which shape has only one pair of parallel sides?

ID 423

An underground pipe drains water from a house.
The pipe must drop 11 centimeters for each 1 meter of the pipe's length.

Find the total drop d of an 11-meter-long section of this pipe.

ID 428

Is the dotted line a line of symmetry?

ID 430

Find the two similar shapes.

ID 433

Which shape has 3 lines of symmetry?

ID 436

Anna and Bob are playing tic-tac-toe on their game board. The picture shows the last position.

Which picture shows how the game board would look after being rotated (turned) 90° counterclockwise (the opposite direction of clockwise)?

ID 444

Which figure has the largest perimeter?

ID 445

If you look at this object from the front, what will you see?

ID 448

The perimeter of the star is equal to the perimeter of the regular hexagon.
Each side of the hexagon is 15 cm long.

How long is each side of the star?

ID 451

A rectangular greeting card has an area of 330 cm2.
One side of the rectangle is 7 cm longer than the other side.
How long is the shorter side?

ID 453

Green Tennis Club members are making a logo.
The logo of the club is blue squares with a green shape.

How many blue squares are covered (partially or completely) by the green shape?

ID 455

How can you go from A to B?

Remember, there may be more than one correct answer.

ID 456

Which angle measures more than a right angle?

ID 457

Two triangles form a parallelogram with an area of 100 square meters.

What is the area, in square meters, of the left triangle?

ID 458

What is the approximate measure of this angle in degrees?

ID 461

We will increase the height of the photograph to 22.5 cm while maintaining the ratio of height to width.

What will be the width of the enlarged photograph?

ID 462

Anna wraps ribbon around a present. She also needs 34 more centimeters (cm) of ribbon to tie a bow.

How much ribbon does she need to wrap the present and to tie the bow?

ID 466

What is the perimeter of the shaded figure?

ID 467

The street blocks on State Street have the same length.

What is the distance between the midpoint of AB and the midpoint of CD?

ID 469

Which new figure can be formed by placing these triangles together?

ID 471

Which two roads on this map appear to be parallel?

ID 473

A 7x7x7 cube is painted, and then cut into 1x1x1 cubes.

How many of these cubes are painted on 3 sides?

ID 475

Which line segments are equal?

ID 480

What is the maximum number of boxes measuring 0.3m x 0.2m x 1m that can be packed into a container measuring 1.01m x 2m x 3m?

ID 483

For which letter did I use the smallest amount of green paint?

ID 486

Which arc comes from the larger circle?

ID 1027

Select the shape with the largest perimeter.

ID 1067

The tower shown is made of cubes stacked on top of each other.
Some of the cubes are not visible.

How many cubes in all are used to form the tower?

ID 1106

In a 3 x 3 grid, there are 8 lines that contain at least 3 points.

How many such lines are there in 3 x 5 grid?

ID 1108

How many triangles are there?

ID 1141

How many different lines can you draw through point C, D, E and F that are parallel to the line AB?

ID 1214

Which area is the smallest?

ID 1217

How many squares of any size exist in the figure?

ID 1338

Which of these parts has the smallest area?

ID 1343

How many different lines can you draw through these five points?

ID 1381

The picture shows a regular polygon.

Which line is parallel to the line AB?

ID 1459

Removing which square results in the increase of the perimeter of this figure?

ID 1473

The line is 0.25 millimeters thick and 8 kilometers long.
What area does the line cover?

ID 1477

Which of the following could be the graph showing the perimeter Y of a square with a side length X?

ID 1496

John ate a share of a pizza and gave the other part to his friends Jim and Jack.
The diagram shows what Jim and Jack equally shared from the pizza.

How much of the pizza does Jack eat?

ID 1542

Estimate how many times larger the red area is compared with the blue area.

ID 1571

I cut a triangle from a square piece of cardboard as shown in the picture.

Which shape can I not form by fitting the pieces together?

ID 1606

For which shape are all sides the same length?

ID 1618

Which two shapes have the largest common area?

ID 1627

How many axes of symmetry does the figure have?

ID 1634

Find the top view of the figure.

ID 1654

Which rectangle has the smallest area?

ID 1657

The game Battleship (Battleships or Sea Battle) is a guessing game played by two people.

How many four-space battleships can you place on the 10 x 10 grid ?

They should be placed in straight lines, either horizontally or vertically, but must not overlap.

ID 1686

Find a pair of beads that are exactly the same distance apart as the length of the line segment AB.

The distance between the beads is the distance between the beads' centers.

ID 1721

Which point is the closest to the line AB?

ID 1725

Which shape has the smallest perimeter?

ID 1729

How many times larger than the area of letter T is the area of the square?

ID 1762

Which point is the closest to point A?

ID 1768

For which drawing did I use the greatest amout of ink?

ID 1772

Which shape has the smallest area?

ID 1821

What two pieces will fit together perfectly to form the same shape as the shadow shown on the right?

You may rotate the shapes.

ID 1823

I am using red and yellow tiles to make the pattern shown on the right.

If I continue the pattern in the same way, how many tiles will be in the next "circle"?

ID 1895

I drew a straight chalk line across the 8x8 chessboard.

What is the largest number of squares that the line can go through?

ID 1991

I draw a line through each pair of the vertexes of a square.
Into how many regions do I divide the plane?

Find the maximum possible number.

ID 1998

How many lines can you draw through these six points?

Each line has to pass through at least two points.

ID 2055

ISO (World Standard) drawing sizes are

841 x 1189 millimeters for A0 paper and
210 x 297 millimeters for A4 paper.

How many A4 sheets can you cut from an A0 sheet?

ID 2064

If I fold a square paper vertically, the new rectangle has an area of 32 square units.

What is the perimeter of the original square?

ID 2072

How many upper case letters look the same when rotated 180 degrees?

Remember, a rotation of 180 degrees is the same thing as rotating something until it is upside down.

ID 2778

Russia has an area of 17,075,200 square kilometers.
Canada has an area of 9,976,140 square kilometers.
The United States of America has an area of 9,629,091 square kilometers.
China has an area of 9,596,960 square kilometers.
India has an area of 3,287,590 square kilometers.

Which area is the smallest among the options below?

ID 2790

The letter 'A' is symmetrical.
A symmetrical figure can be folded in half and have both halves match exactly.

Of the 26 capital letters of the alphabet, how many are not symmetrical?

ID 2812

Which segment has a length of 9 units?

ID 2820

Which shape has the smallest angle?

ID 2840

I assemble rectangles from colored squares.
All the squares on the edges are red, and the inner squares are blue.
For example, the figure shows a 5 x 9 rectangle with 24 red and 21 blue squares.

Find the rectangle where the number of red squares is equal to the number of blue squares.

ID 2867

Which of these shapes has the largest area?

ID 2878

Which shape has 4 lines of symmetry?

ID 2882

Anna and Bob are playing tic-tac-toe on their game board. The picture shows the last position.

Which picture shows how the game board would look after being rotated (turned) 180° clockwise?

ID 2895

The perimeter of the star is equal to the perimeter of the regular hexagon.
Each side of the hexagon is 12 cm long.

How long is each side of the star?

ID 2913

Which line segment is the smallest?

ID 2930

Tim expands his rectangular-shaped garage. The garage is 5 meters wide and 7 meters long. He wants to triple the width and to double the length.

How does this affect the area of the garage?

ID 2960

How many of the small triangles would be needed to cover the trapezoid?

ID 2965

Which angle is the smallest?

ID 3288

In the picture, figures ABCDEF and UVWXYZ have the same shape and size.

Which side must have the same length as side CD?

ID 3296

Which shape below has the same perimeter as the shape at the right?

ID 3320

How many cubes are not visible?

ID 3346

Children launched 20 balloons.
They found 20 balloons.
The diagram shows where the balloons were found.

How many balloons traveled more than 15 km?

ID 3347

Children launched 20 balloons.
The diagram shows where the balloons were found.

From which direction did the wind blow?

ID 3352

A pentagon (from pente, which is Greek for the number 5) is any five-sided polygon.

How many pentagons are there?

ID 3353

A hexagon (from hex, which is Greek for the number 6) is any six-sided polygon.

How many hexagons are there?

ID 3408

How many letters in the word MATH have only one line of symmetry?

ID 3603

How many cubes with the side size 0.3 can fit in the box?

ID 3671

All angles are right and the lengths of the sides are given in miles in the diagram.

Find X.

ID 3720

Find the missing part.

ID 3761

Squares 1, 2, and 3 have sides of length 1, 2, and 3 units, respectively.

What is the perimeter of the entire figure?

ID 3805

How many small cubes were used to build this solid figure?

ID 3902

What is the minimum number of straight lines to draw two squares?

ID 4668

Which is true?

ID 4792

What is maximum number of times two equal hexagons can intersect?

ID 4860

What is the area of the squares (each division in the graph represents 1 mile)?

ID 4868

Estimate the ratio of areas of the two parts.

ID 4884

How many squares are there?

ID 5055

Find the sum of the angles.

ID 5076

How many small squares are needed to completely cover the surface of the green triangle?

You can cut the squares.

ID 5197

Can we use each of the four small shapes on the left exactly once to make the triangle on the right without any cutting or overlapping?

ID 5486

How far apart are the marked point and the end of the scale?

ID 5504

A shop owner installs a security camera on the ceiling of his shop. The camera can turn up-down and right round through 360°. The picture shows the design of the shop.

Where can a thief be hidden without being detected by the camera?

ID 5721

I would like to add more blocks to form a cube.
I don't move the original blocks in the pyramid.

How many blocks must be added to form a cube?

ID 5767

The sculpture is built with identical cubes.

If the sculpture weighs a total of 1540 tons, how much does one cube weigh?

ID 5890

How many hexagons are there?

In geometry, a hexagon is any six-sided shape.

ID 5894

The tower is made up of three horizontal layers of cubes with no gaps.

How many more small blue cubes must be added to form a large 3x3x3 cube?

ID 5976

Which of these parts has the largest area?

ID 6032

The large cube is composed of smaller cubes.

How many small blue cubes are there?

ID 6081

If I wish to double the area of the rectangle, what is the minimum number of sticks I need to add?

ID 6199

Tree frogs can jump 7 feet, which is 50 times the length of their body.

Jonny the Frog is lazy today. He makes successive jumps of length exactly 2 feet.

What is the smallest possible number of jumps he can make to end exactly 7 feet eastward from the start point?

ID 6335

Which triangle will have the largest perimeter?

ID 6340

Although it doesn't look like it, the distances along any of the blue strings are equal because it is a 3-dimensional object.

What is the shortest distance between blobs 03 and 09?

You can only travel along a blue string.

ID 6377

I would like to open a ring so that all rings are separated.

Which ring do I need to open?

The links look like Borromean rings that are used in the coat of arms of the aristocratic Borromeo family in Northern Italy.

ID 6434

Which shape has the area of 20 square units?

ID 6436

Which line segment is parallel to AB?

ID 6438

Which shape has the smallest area?

ID 6627

How many more cubes would be needed to make the pyramid 8 steps high?

ID 6760

Gerry divides a cube into equal parts using 4 vertical planar cuts.

How many parts does he get?

ID 6900

I can choose 36 different 3x3 squares on the 8x8 grid.

How many of them don't contain green cell(s)?

ID 7056

I draw a shape on squared paper.

Find the perimeter of the composite rectilinear shape.

ID 7108

An ant goes from point A to point B along the indicated path.

Does the insect turn left or right more frequently?

ID 7159

Which area is larger?