ID 497

ID 499

Tim expands his rectangular-shaped garage. The garage is 4 meters wide and 5 meters long. He wants to triple the width and to double the length.

How does this affect the area of the garage?

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ID 509

Anna cut four congruent triangles from the corners of a rectangle to make a hexagon.

What is the area of the colored hexagon?

ID 512

The shape is turned 270^{o} clockwise, and then 45^{o} counterclockwise.

Find the new position of point A.

ID 513

The volume of a box is 750 cm^{3}.

The ratio of the box length, width and height is

3:2:1 (length : width : height, respectively)

What could its length be?

ID 514

A, B, and C are the midpoints of the sides of an equilateral triangle.

Which fraction of this triangle is shaded?

ID 518

The diagram shows two skateboard ramps.

Are the ramps similar triangles?

If yes, which fraction represents the ratio of the corresponding side lengths of the smaller and larger ramps?

ID 520

How many times the perimeter of the shape is smaller compared to the original perimeter, if the lengths of the shape are divided by 4?

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ID 523

The shape is to be reflected 3 times over the vertical line y and then reﬂected over the horizontal line x. Find its new position.

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ID 554

Two boys, starting at the same point,

walk in opposite directions for X meters,

turn right and walk another Y meters,

and then turn right and walk another X meters.

What is the distance between them?

ID 560

A 7x7x7cube is painted, and then cut into 1x1x1 cubes.

How many of these cubes are painted on exactly two sides?

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ID 569

The city council plans to build a playground. The shape of the playground will be a hexagon.

The playground fence has six posts on each side.

How many fence posts will be around the playground?

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ID 573

Four people start from the same point.

A walks northwest at 1 km/h.

B walks north at 4 km/h.

C walks east at 3 km/h.

D walks south at 1 km/h

Which people are closest to one another after a one hour walk?

ID 584

The picture shows two identical squares with sides that have a length of 1 meter.

M is the midpoint of the corresponding sides of both squares.

Which part has the smallest perimeter?

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ID 1085

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ID 1232

A school garden is 4 m long and 3 m wide.

How many bushes half a meter apart can be placed along the edges?

ID 1247

A rectangular prism is made up of four pieces, each consisting of colored cubes glued together.

Which of the pieces below has the same shape as the blue piece?

ID 1298

How many more lines must I draw to make a shape that has a line of symmetry?

Find the minimum number.

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ID 1484

ID 1532

How many different line segments connecting three red and four green points can be drawn?

The line segment goes from a red point to the green one and may not cross the red circle.

ID 1546

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ID 1625

What is the smallest number of additional squares that must be shaded so that this figure has at least one line of symmetry?

ID 1688

How many pairs of beads 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.

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ID 1744

I cut a triangle off a corner of a square to make a pentagon.

What is the sum of the two unmarked angles in the diagram?

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ID 2255

What is the maximum amount of Xs that you can you place on a Tic-tac-toe board without making three-in-a-row in any direction?

ID 2278

ID 2282

Three of the four pieces below can be put together to form a perfect square.

What piece is the odd one out?

ID 2869

An underground pipe drains water from a house.

The pipe must drop 12 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 2881

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° clockwise?

ID 2898

A rectangular greeting card has an area of 195 cm^{2}.

One side of the rectangle is 2 cm longer than the other side.

How long is the shorter side?

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ID 2902

We will increase the height of the photograph to 33 cm while maintaining the ratio of height to width.

What will be the width of the enlarged photograph?

ID 2903

Anna wraps ribbon around a present. She also needs 32 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 2910

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

How many of these cubes have only one painted side?

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ID 2946

The shape is to be reflected 3 times over the vertical line y and then reflected 2 times over the horizontal line x. Find its new position.

ID 2948

The shape is to be reflected 2 times over the vertical line y and then reﬂected 4 times over the horizontal line x. Find its new position.

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ID 3765

The measure of an interior angle of a regular polygon is five times the measure of one of its exterior angles.

How many sides does the polygon have?

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ID 3857

How many different heights can you build up with 2 bricks, each measuring 30 x 12 x 6 cm?

(The top surface has to be flat, in other words horizontal.)

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ID 4844

I divided a 3 x 4 square into 6 squares.

What is the smallest number of squares into which you can divide a 5 x 6 rectangle?

Author: Matt Enlow

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ID 5261

What is the minimum number of matches that must be moved in order to obtain two equilateral triangles?

ID 5286

A green cross is formed by placing two rectangles 8x4 over each other. What is the perimeter of the figure?