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.
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.
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?
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?
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?
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?
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.
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)?
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?
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?
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?
Two triangles form a parallelogram with an area of 100 square meters.
What is the area, in square meters, of the left triangle?
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?
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?
The street blocks on State Street have the same length.
What is the distance between the midpoint of AB and the midpoint of CD?
A 7x7x7 cube is painted, and then cut into 1x1x1 cubes.
How many of these cubes are painted on 3 sides?
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?
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?
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?
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?
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?
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.
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.
What two pieces will fit together perfectly to form the same shape as the shadow shown on the right?
You may rotate the shapes.
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"?
I drew a straight chalk line across the 8x8 chessboard.
What is the largest number of squares that the line can go through?
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.
How many lines can you draw through these six points?
Each line has to pass through at least two points.
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?
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?
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.
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?
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?
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.
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?
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?
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?
In the picture, figures ABCDEF and UVWXYZ have the same shape and size.
Which side must have the same length as side CD?
Children launched 20 balloons.
They found 20 balloons.
The diagram shows where the balloons were found.
How many balloons traveled more than 15 km?
Children launched 20 balloons.
The diagram shows where the balloons were found.
From which direction did the wind blow?
A pentagon (from pente, which is Greek for the number 5) is any five-sided polygon.
How many pentagons are there?
A hexagon (from hex, which is Greek for the number 6) is any six-sided polygon.
How many hexagons are there?
Squares 1, 2, and 3 have sides of length 1, 2, and 3 units, respectively.
What is the perimeter of the entire figure?
How many small squares are needed to completely cover the surface of the green triangle?
You can cut the squares.
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?
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?
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?
The sculpture is built with identical cubes.
If the sculpture weighs a total of 1540 tons, how much does one cube weigh?
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?
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?
Leslie Green asks:
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.
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.
I can choose 36 different 3x3 squares on the 8x8 grid.
How many of them don't contain green cell(s)?
An ant goes from point A to point B along the indicated path.
Does the insect turn left or right more frequently?
Please identify the largest area.
Please identify the largest area.
What is the area of the colored shape?
The figure shows a pentagon and its exterior angles. 
Which of these shapes has the smallest area? 
What is the total number of lines of symmetry that can be drawn on the shape?
What is the area, in square units, of the polygon? 
Which shape has only one pair of parallel sides? 
Is the dotted line a line of symmetry?
Find the two similar shapes.
Which shape has 3 lines of symmetry?
Which figure has the largest perimeter?
If you look at this object from the front, what will you see?
How can you go from A to B? 
Which angle measures more than a right angle?
What is the approximate measure of this angle in degrees?
What is the perimeter of the shaded figure?
Which new figure can be formed by placing these triangles together?
Which two roads on this map appear to be parallel? 
Which line segments are equal?
For which letter did I use the smallest amount of green paint? 
Which arc comes from the larger circle?
Select the shape with the largest perimeter.
How many triangles are there?
How many different lines can you draw through point C, D, E and F that are parallel to the line AB?
Which area is the smallest?
How many squares of any size exist in the figure?
Which of these parts has the smallest area? 
How many different lines can you draw through these five points?
The picture shows a regular polygon. 
Removing which square results in the increase of the perimeter of this figure?
The line is 0.25 millimeters thick and 8 kilometers long. 
Which of the following could be the graph showing the perimeter Y of a square with a side length X?
Estimate how many times larger the red area is compared with the blue area.
For which shape are all sides the same length? 
Which two shapes have the largest common area?
How many axes of symmetry does the figure have?
Find the top view of the figure.
Which rectangle has the smallest area?
Which shape has the smallest perimeter?
How many times larger than the area of letter T is the area of the square?
Which point is the closest to point A?
For which drawing did I use the greatest amout of ink?
Which shape has the smallest area?
Which segment has a length of 9 units?
Which shape has the smallest angle?
How many of the small triangles would be needed to cover the trapezoid?
Which angle is the smallest?
Which shape below has the same perimeter as the shape at the right?
How many cubes are not visible?
How many letters in the word MATH have only one line of symmetry?
How many cubes with the side size 0.3 can fit in the box?
All angles are right and the lengths of the sides are given in miles in the diagram. 
Find the missing part.
How many small cubes were used to build this solid figure?
What is the minimum number of straight lines to draw two squares?
Which is true?
What is maximum number of times two equal hexagons can intersect?
What is the area of the squares (each division in the graph represents 1 mile)?
Estimate the ratio of areas of the two parts.
How many squares are there?
Find the sum of the angles.
How far apart are the marked point and the end of the scale?
How many hexagons are there? 
The large cube is composed of smaller cubes. 
If I wish to double the area of the rectangle, what is the minimum number of sticks I need to add?
Which triangle will have the largest perimeter?
Which shape has the area of 20 square units?
Which line segment is parallel to AB?
Which shape has the smallest area?
How many more cubes would be needed to make the pyramid 8 steps high?
Gerry divides a cube into equal parts using 4 vertical planar cuts. 
I draw a shape on squared paper. 
Which area is larger?