ID 403

Geometry and  Measurement K6The 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 cement foundation and you do not need to take into account the bottom.



ID 405

Geometry and  Measurement K6Please identify the largest area.



ID 407

Geometry and  Measurement K6Please identify the largest area.



ID 408

Geometry and  Measurement K6A 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

Geometry and  Measurement K6A 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

Geometry and  Measurement K6What is the area of the colored shape?



ID 413

Geometry and  Measurement K6In 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

Geometry and  Measurement K6The figure shows a pentagon and its exterior angles.

Find the sum of the exterior angles.



ID 415

Geometry and  Measurement K6Which of these shapes has the smallest area?



ID 418

Geometry and  Measurement K6What is the total number of lines of symmetry that can be drawn on the shape?



ID 419

Geometry and  Measurement K6There 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

Geometry and  Measurement K6What is the area, in square units, of the polygon?



ID 422

Geometry and  Measurement K6Which shape has only one pair of parallel sides?



ID 423

Geometry and  Measurement K6An 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

Geometry and  Measurement K6Is the dotted line a line of symmetry?



ID 430

Geometry and  Measurement K6Find the two similar shapes.



ID 433

Geometry and  Measurement K6Which shape has 3 lines of symmetry?



ID 436

Geometry and  Measurement K6Anna 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

Geometry and  Measurement K6Which figure has the largest perimeter?



ID 445

Geometry and  Measurement K6If you look at this object from the front, what will you see?



ID 448

Geometry and  Measurement K6The 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

Geometry and  Measurement K6A 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

Geometry and  Measurement K6Green 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 (half or completely) by the green shape?



ID 455

Geometry and  Measurement K6How can you go from A to B?

Remember, there may be more than one correct answer.



ID 456

Geometry and  Measurement K6Which angle measures more than a right angle?



ID 457

Geometry and  Measurement K6Two triangles form a parallelogram with an area of 100 square meters.

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



ID 458

Geometry and  Measurement K6What is the approximate measure of this angle in degrees?



ID 461

Geometry and  Measurement K6We 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

Geometry and  Measurement K6Anna 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

Geometry and  Measurement K6What is the perimeter of the shaded figure?



ID 467

Geometry and  Measurement K6The 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

Geometry and  Measurement K6Which new figure can be formed by placing these triangles together?



ID 471

Geometry and  Measurement K6Which two roads on this map appear to be parallel?



ID 473

Geometry and  Measurement K6A 7x7x7 cube is painted, and then cut into 1x1x1 cubes.

How many of these cubes are painted on 3 sides?



ID 475

Geometry and  Measurement K6Which line segments are equal?



ID 480

Geometry and  Measurement K6How many boxes measuring 0.3m x 0.2m x 1m can be packed into a container measuring 1.01m x 2m x 3m?



ID 483

Geometry and  Measurement K6For which letter did I use the smallest amount of green paint?



ID 486

Geometry and  Measurement K6Which arc comes from the larger circle?



ID 1027

Geometry and  Measurement K6Select the shape with the largest perimeter.



ID 1067

Geometry and  Measurement K6The 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

Geometry and  Measurement K6In 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

Geometry and  Measurement K6How many triangles are there?



ID 1141

Geometry and  Measurement K6How many different lines can you draw through point C, D, E and F that are parallel to the line AB?



ID 1214

Geometry and  Measurement K6Which area is the smallest?



ID 1217

Geometry and  Measurement K6How many squares of any size exist in the figure?



ID 1338

Geometry and  Measurement K6Which of these parts has the smallest area?



ID 1343

Geometry and  Measurement K6How many different lines can you draw through these five points?



ID 1381

Geometry and  Measurement K6The picture shows a regular polygon.

Which line is parallel to the line AB?



ID 1459

Geometry and  Measurement K6Removing which square results in the increase of the perimeter of this figure?



ID 1473

Geometry and  Measurement K6The line is 0.25 millimeters thick and 8 kilometers long.
What area does the line cover?



ID 1477

Geometry and  Measurement K6Which of the following could be the graph showing the perimeter Y of a square with a side length X?



ID 1496

Geometry and  Measurement K6John 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

Geometry and  Measurement K6Estimate how many times larger is the red area compared with the blue area.



ID 1571

Geometry and  Measurement K6I 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

Geometry and  Measurement K6For which shape are all sides the same length?



ID 1618

Geometry and  Measurement K6Which two shapes have the largest common area?



ID 1627

Geometry and  Measurement K6How many axis of symmetry does the figure have?



ID 1634

Geometry and  Measurement K6Find the top view of the figure.



ID 1654

Geometry and  Measurement K6Which rectangle has the smallest area?



ID 1657

Geometry and  Measurement K6The 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 and should not touch each other.



ID 1686

Geometry and  Measurement K6Find 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

Geometry and  Measurement K6Which point is the closest to the line AB?



ID 1725

Geometry and  Measurement K6Which shape has the smallest perimeter?



ID 1729

Geometry and  Measurement K6How many times larger than the area of letter T is the area of the square?



ID 1762

Geometry and  Measurement K6Which point is the closest to point A?



ID 1768

Geometry and  Measurement K6For which drawing did I use the greatest amout of ink?



ID 1772

Geometry and  Measurement K6Which shape has the smallest area?



ID 1821

Geometry and  Measurement K6What two pieces will fit together perfectly to form the same shape as the shadow shown on the right?



ID 1823

Geometry and  Measurement K6I 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

Geometry and  Measurement K6I drew a straight chalk line across the 8x8 chessboard.

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



ID 1991

Geometry and  Measurement K6I 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

Geometry and  Measurement K6How many lines can you draw through these six points?



ID 2055

Geometry and  Measurement K6ISO (World Standard) drawing sizes are

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

How many A4 papers can you cut from an A0 paper?



ID 2064

Geometry and  Measurement K6If I fold a square paper vertically, the new rectangle has an area of 32 square units.

What is the perimeter of the original rectangle?



ID 2072

Geometry and  Measurement K6How many upper case letters look the same when rotated 180 degrees?



ID 2778

Geometry and  Measurement K6Russia 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

Geometry and  Measurement K6The letter 'A' is symmetrical. A symmetrical figure can be folded in half and have both sides match exactly.

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



ID 2812

Geometry and  Measurement K6Which segment has a length of 9 units?



ID 2820

Geometry and  Measurement K6Which shape has the smallest angle?



ID 2840

Geometry and  Measurement K6I 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

Geometry and  Measurement K6Which of these shapes has the largest area?



ID 2878

Geometry and  Measurement K6Which shape has 4 lines of symmetry?



ID 2882

Geometry and  Measurement K6Anna 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

Geometry and  Measurement K6The 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

Geometry and  Measurement K6Which line segments the smallest?



ID 2930

Geometry and  Measurement K6Tim 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

Geometry and  Measurement K6How many of the small triangles would be needed to cover the trapezoid?



ID 2965

Geometry and  Measurement K6Which angle is the smallest?



ID 3288

Geometry and  Measurement K6In the picture, figures ABCDEF and UVWXYZ have the same shape and size.

Which side must have the same length as side CD?



ID 3296

Geometry and  Measurement K6Which shape below has the same perimeter as the shape at the right?



ID 3320

Geometry and  Measurement K6How many cubes are not visible?



ID 3346

Geometry and  Measurement K6Children 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

Geometry and  Measurement K6Children launched 20 balloons.
The diagram shows where the balloons were found.

From which direction did the wind blow?



ID 3352

Geometry and  Measurement K6A pentagon (from pente, which is Greek for the number 5) is any five-sided polygon.

How many pentagons are there?



ID 3353

Geometry and  Measurement K6A hexagon (from hex, which is Greek for the number 6) is any six-sided polygon.

How many hexagons are there?



ID 3408

Geometry and  Measurement K6How many letters in the word MATH has only one line of symmetry?



ID 3603

Geometry and  Measurement K6How many cubes with the side size 0.3 can fill in the box?



ID 3671

Geometry and  Measurement K6All angles are right and the lengths of the sides are given in miles in the diagram.

Find X.



ID 3720

Geometry and  Measurement K6Find the missing part.



ID 3761

Geometry and  Measurement K6Squares 1, 2, and 3 have sides of length 1, 2, and 3 units, respectively.

What is the perimeter of the entire figure?



ID 3805

Geometry and  Measurement K6How many small cubes were used to build this solid figure?



ID 3902

Geometry and  Measurement K6What is the minimum number of straight lines to draw two squares?



ID 4668

Geometry and  Measurement K6Which is true?



ID 4792

Geometry and  Measurement K6What is maximum number of times two equal hexagons can intersect?



ID 4860

Geometry and  Measurement K6What is the area of the squares (each division in the graph represents 1 mile)?



ID 4868

Geometry and  Measurement K6Estimate the ratio of areas of the two parts.



ID 4884

Geometry and  Measurement K6How many squares are there?



ID 5055

Geometry and  Measurement K6Find the sum of the angles.



ID 5076

Geometry and  Measurement K6How many small squares are needed to completely cover the surface of the green triangle?

You can cut the squares.



ID 5197

Geometry and  Measurement K6Can 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?