Geometry for Year 7: Learn Shapes and Their Properties

Question 1

In a circle, how does the diameter compare to the radius?

Accepted Answer

The diameter is double the length of the radius

Answer

The radius is double the length of the diameter

Answer

The diameter and radius are the same length

Answer

The diameter is half the length of the radius

Question 2

Which of these is NOT a condition for triangles to be congruent?

Accepted Answer

Equal areas

Answer

Equal lengths of all corresponding sides

Answer

Equal measures of all corresponding angles

Answer

Equal number of sides

Question 3

When creating a net of a cube, how many edges will it have?

Accepted Answer

12

Answer

6

Answer

8

Answer

18

Question 4

A cube has a side length of 3 centimeters. What is the volume of the cube?

Accepted Answer

27 cubic centimeters

Answer

9 cubic centimeters

Answer

81 cubic centimeters

Question 5

What is the name of the shape that has four equal sides and four right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Trapezium

Question 6

Which shape below does not have symmetry?

Accepted Answer

Trapezoid

Answer

Circle

Answer

Square

Answer

Rectangle

Question 7

In a parallelogram, opposite angles are equal. If one angle measures 60 degrees, what is the measure of the angle opposite to it?

Accepted Answer

60 degrees

Answer

30 degrees

Answer

90 degrees

Answer

120 degrees

Question 8

When a rectangle is reflected across a vertical line through its center, what property does the resulting figure have?

Accepted Answer

Identical in size and shape to the original figure

Answer

Larger in area than the original figure

Answer

Smaller in perimeter than the original figure

Answer

A different shape to the original figure

Question 9

A farmer has a rectangular field that measures 140 meters in length and 75 meters in width. How many meters of fencing does he need to surround the entire field?

Accepted Answer

430 meters

Answer

215 meters

Answer

700 meters

Answer

140 meters

Question 10

In a parallelogram, one angle measures 60 degrees. What is the measure of the angle next to it?

Accepted Answer

120 degrees

Answer

30 degrees

Answer

90 degrees

Answer

150 degrees

Question 11

How many sides does a hexagon have?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 12

The two arms of a right angle form an angle of:

Accepted Answer

90 degrees

Answer

30 degrees

Answer

45 degrees

Answer

60 degrees

Question 13

Which of these best describes the shape of a rectangular prism?

Accepted Answer

A solid object with 6 flat surfaces

Answer

A flat surface with 4 sides

Answer

A round shape with no edges

Answer

A pyramid with a square base

Question 14

What is the formula for finding the circumference of a circle?

Accepted Answer

Circumference = πd

Answer

Area = πr²

Answer

Volume = 4/3πr³

Answer

Surface Area = 6πr²

Question 15

Which of the following shapes is a quadrilateral?

Accepted Answer

Square

Answer

Triangle

Answer

Pentagon

Answer

Circle

Question 16

What is the name of the point where the perpendicular bisectors of a triangle intersect?

Accepted Answer

Orthocenter

Answer

Circumcenter

Answer

Incenter

Answer

Centroid

Question 17

What is the volume of a cube with edges measuring 5 centimeters in length?

Accepted Answer

125 cm3

Answer

25 cm3

Answer

50 cm3

Answer

250 cm3

Question 18

Which property is NOT characteristic of a square?

Accepted Answer

Diagonals of unequal length

Answer

Four sides of equal length

Answer

Four right angles

Answer

Two pairs of parallel sides

Question 19

What term describes a line that bisects a circle?

Accepted Answer

Diameter

Answer

Chord

Answer

Radius

Answer

Tangent

Question 20

Which of the following is not a type of symmetry?

Accepted Answer

Asymmetry

Answer

Line symmetry

Answer

Rotational symmetry

Answer

Translational symmetry

Question 21

Which shape is congruent to a rectangle with sides measuring 5 cm and 7 cm?

Accepted Answer

Parallelogram with sides measuring 10 cm and 5 cm

Answer

Square with sides measuring 6 cm

Answer

Trapezoid with parallel sides measuring 5 cm and 7 cm

Answer

Kite with diagonal lengths of 5 cm and 7 cm

Question 22

What is the perimeter of a triangle with sides measuring 3 cm, 4 cm, and 5 cm?

Accepted Answer

15 cm

Answer

6 cm

Answer

12 cm

Answer

24 cm

Question 23

Which of the following is NOT a polygon?

Accepted Answer

Circle

Answer

Square

Answer

Triangle

Answer

Rectangle

Question 24

How many sides does a hexagon have?

Accepted Answer

6

Answer

4

Answer

5

Answer

7

Question 25

How many faces does a cube have?

Accepted Answer

6

Answer

4

Answer

5

Answer

8

Question 26

What is the scale factor when a shape is enlarged by 200%?

Accepted Answer

2

Answer

0.5

Answer

1.5

Answer

3

Question 27

Which of the following is a polyhedron?

Accepted Answer

Cube

Answer

Sphere

Answer

Cone

Answer

Cylinder

Question 28

Which of the following is a transformation that changes the size of a shape but not its shape?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 29

What is the name of the special angle formed when two straight lines cross each other and create four right angles?

Accepted Answer

Vertical angle

Answer

Supplementary angle

Answer

Adjacent angle

Answer

Complementary angle

Question 30

What is the measure of the angle formed by two intersecting lines that create a perpendicular relationship?

Accepted Answer

90 degrees

Answer

30 degrees

Answer

60 degrees

Answer

120 degrees

Question 31

What is the formula used to calculate the area of a triangle?

Accepted Answer

1/2 x Base x Height

Answer

Length x Width

Answer

Base x Height

Answer

π x Radius²

Question 32

Which of the following is a polyhedron?

Accepted Answer

Cube

Answer

Sphere

Answer

Cylinder

Answer

Cone

Question 33

What is the name of the point where two or more lines meet?

Accepted Answer

Vertex

Answer

Edge

Answer

Face

Answer

Corner

Question 34

Which of the following shapes belongs to the quadrilateral category?

Accepted Answer

Square

Answer

Pentagram

Answer

Circle

Answer

Triangle

Question 35

What is the key difference between a prism and a pyramid?

Accepted Answer

Prisms have parallel sides while pyramids do not

Answer

Prisms have more faces than pyramids

Answer

Prisms have flat faces while pyramids have triangular faces

Answer

Pyramids have more vertices than prisms

Question 36

Which shape exhibits rotational symmetry of order 4?

Accepted Answer

Square

Answer

Triangle

Answer

Circle

Answer

Pentagon

Question 37

What is the name of the angle formed when two lines meet?

Accepted Answer

Adjacent angle

Answer

Vertical angle

Answer

Supplementary angle

Answer

Complementary angle

Question 38

Calculate the area of a triangle with a base of 5 cm and a height of 3 cm?

Accepted Answer

15 cm²

Answer

8 cm²

Answer

24 cm²

Answer

30 cm²

Question 39

Which of these options represents a net of a cube?

Accepted Answer

A square and four rectangles

Answer

Six squares

Answer

A circle and four triangles

Answer

Two rectangles and two triangles

Question 40

Find the volume of a rectangular prism with a length of 5 cm, a width of 3 cm, and a height of 2 cm?

Accepted Answer

30 cm³

Answer

10 cm³

Answer

15 cm³

Answer

60 cm³

Question 41

Which transformation maintains the original size and shape of a figure?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 42

What is the name of the straight line from the center of a circle to any point on the circle?

Accepted Answer

Radius

Answer

Diameter

Answer

Chord

Answer

Tangent

Question 43

Which of the following is not a characteristic of a circle?

Accepted Answer

A circle has three lines of symmetry.

Answer

Every point on the circle is equally distant from the center.

Answer

A circle has no corners.

Answer

A circle has a curved shape.

Question 44

What is the name of the shape with 4 equal sides and 4 right angles?

Accepted Answer

Rectangle

Answer

Triangle

Answer

Trapezium

Answer

Parallelogram

Question 45

How many lines of symmetry does a regular hexagon have?

Accepted Answer

6

Answer

3

Answer

4

Answer

8

Question 46

What is the name of the angle that measures exactly 90 degrees?

Accepted Answer

Right angle

Answer

Acute angle

Answer

Obtuse angle

Answer

Reflex angle

Question 47

Which of the following shapes is a three-dimensional shape?

Accepted Answer

Cone

Answer

Square

Answer

Rectangle

Answer

Triangle

Question 48

Which of the following is a property of a parallelogram?

Accepted Answer

Opposite sides are parallel and equal in length.

Answer

All angles are right angles.

Answer

Diagonals bisect each other.

Answer

All sides are equal.

Question 49

What is the name of the point where the three altitudes of a triangle meet?

Accepted Answer

Orthocenter

Answer

Centroid

Answer

Circumcenter

Answer

Incenter

Question 50

How many faces does a cube have?

Accepted Answer

6

Answer

4

Answer

8

Answer

12

Question 51

Which shape is not like the others?

Accepted Answer

Circle

Answer

Square

Answer

Rectangle

Question 52

You have a rectangular painting that you hang on the wall. The painting is 20 cm high and 30 cm wide. If you rotate the painting 90° clockwise, what will happen to its height and width?

Accepted Answer

Height: 30 cm, Width: 20 cm

Answer

Height: 20 cm, Width: 30 cm

Answer

Height: 15 cm, Width: 25 cm

Answer

Cannot be determined

Question 53

Which of these is NOT true about squares?

Accepted Answer

It has four equal angles.

Answer

All sides are the same length.

Answer

Opposite sides are parallel.

Answer

It has four right angles.

Question 54

What's the sum of the interior angles in a triangle?

Accepted Answer

180 degrees

Answer

90 degrees

Answer

270 degrees

Answer

360 degrees

Question 55

Which property describes a circle?

Accepted Answer

All points are the same distance from the center.

Answer

Four equal sides

Answer

Three right angles

Answer

Two pairs of parallel sides

Question 56

How many faces does a rectangular prism have?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 57

What's the formula for calculating a triangle's area?

Accepted Answer

0.5 * base * height

Answer

0.33 * base * height

Answer

base * height

Answer

base + height

Question 58

What's the shape with only one side called?

Accepted Answer

Line

Answer

Triangle

Answer

Circle

Answer

Square

Question 59

What's the Pythagoras theorem used for?

Accepted Answer

Calculating a hypotenuse

Answer

Calculating a triangle's area

Answer

Calculating a sphere's volume

Answer

Calculating a square's perimeter

Question 60

Which angle type measures less than 90 degrees?

Accepted Answer

Acute angle

Answer

Right angle

Answer

Obtuse angle

Answer

Reflex angle

Question 61

Which transformation creates a mirror image of a shape across a line?

Accepted Answer

Reflection

Answer

Rotation

Answer

Translation

Question 62

How many faces does a cube have?

Accepted Answer

6

Answer

4

Answer

8

Answer

12

Question 63

What is a line of symmetry?

Accepted Answer

A line that divides a shape into two identical halves

Answer

A line that connects two points on a shape

Answer

A line that is perpendicular to a side of a shape

Answer

A line that intersects a shape at only one point

Question 64

What is the name of a shape with 3 straight sides?

Accepted Answer

Triangle

Answer

Square

Answer

Pentagon

Answer

Hexagon