Geometry and Measurement Quizzes for Year 9 Maths

Question 1

Which transformation creates a mirror image of a shape by flipping it over a line?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 2

When constructing an equilateral triangle with a side length of 5 cm using only a protractor and a compass, what should you do first?

Accepted Answer

Draw a circle with a radius of 5 cm using the compass.

Answer

Draw a 60-degree angle using the protractor.

Answer

Mark a point on the circle as a vertex of the triangle.

Question 3

Which shape has four equal sides and four right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Circle

Question 4

What is the formula for finding the area of a triangle?

Accepted Answer

A = 1/2 * base * height

Answer

A = length * width

Answer

A = πr²

Answer

A = 4/3 * πr³

Question 5

Which angle measures 180 degrees?

Accepted Answer

Straight angle

Answer

Acute angle

Answer

Obtuse angle

Answer

Right angle

Question 6

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

Accepted Answer

C = 2πr

Answer

C = πd

Answer

C = 4/3 * πr³

Answer

C = A * r

Question 7

What is the Pythagorean theorem?

Accepted Answer

a² + b² = c²

Answer

a² - b² = c²

Answer

a + b = c

Answer

a * b = c

Question 8

Which instrument is used to measure angles?

Accepted Answer

Protractor

Answer

Ruler

Answer

Compass

Answer

Calculator

Question 9

What is the SI unit of length?

Accepted Answer

Meter

Answer

Kilometer

Answer

Centimeter

Answer

Inch

Question 10

What is the formula for converting degrees Celsius to degrees Fahrenheit?

Accepted Answer

°F = (°C * 9/5) + 32

Answer

°F = (°C - 32) * 5/9

Answer

°F = °C + 273.15

Answer

°F = °C - 273.15

Question 11

Find the volume of a cone with a base radius of 5 cm and height of 10 cm.

Accepted Answer

50π cm³

Answer

25π cm³

Answer

100π cm³

Answer

200π cm³

Question 12

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

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 13

An angle that, when added to another angle, equals 90°, is called a/an:

Accepted Answer

Complementary angle

Answer

Supplementary angle

Answer

Adjacent angle

Answer

Vertical angle

Question 14

A triangle with all three sides of different lengths is classified as a:

Accepted Answer

Scalene triangle

Answer

Isosceles triangle

Answer

Equilateral triangle

Answer

Right-angled triangle

Question 15

What is the formula to calculate the area of a rectangle?

Accepted Answer

Length x Width

Answer

Length + Width

Answer

Length² + Width²

Answer

Length - Width

Question 16

Which of the following is NOT a unit of volume?

Accepted Answer

Meter

Answer

Cubic centimeter

Answer

Milliliter

Answer

Liter

Question 17

The formula for the surface area of a sphere is:

Accepted Answer

4πr²

Answer

πr²

Answer

2πr²

Answer

πr³

Question 18

The distance around a regular hexagon is known as its:

Accepted Answer

Perimeter

Answer

Circumference

Answer

Area

Answer

Volume

Question 19

Which transformation changes the position of a figure without changing its shape or size?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Enlargement

Question 20

To find the volume of a cylinder, we use the formula:

Accepted Answer

πr²h

Answer

2πr²h

Answer

4πr²h

Answer

πrh

Question 21

The Pythagorean theorem states that in a right-angled triangle:

Accepted Answer

The square of the hypotenuse is equal to the sum of the squares of the other two sides.

Answer

The square of the longer side is equal to the difference of the squares of the other two sides.

Answer

The square of the shorter side is equal to the product of the squares of the other two sides.

Answer

The sum of the squares of the other two sides is equal to the square of the hypotenuse.

Question 22

Which of the following is not considered a type of angle?

Accepted Answer

Concave

Answer

Acute

Answer

Obtuse

Answer

Right

Question 23

Determine the volume of a cube with a side length of 5 cm.

Accepted Answer

125 cm³

Answer

25 cm³

Answer

50 cm³

Answer

250 cm³

Question 24

Which transformation preserves both the size and shape of a figure?

Accepted Answer

Translation

Answer

Reflection

Answer

Rotation

Answer

Scaling

Question 25

Find the perimeter of a rectangle with a length of 10 cm and a width of 5 cm.

Accepted Answer

30 cm

Answer

15 cm

Answer

25 cm

Answer

50 cm

Question 26

Which of the following is a three-dimensional shape?

Accepted Answer

Sphere

Answer

Square

Answer

Triangle

Answer

Rectangle

Question 27

Which formula is used to find the area of a triangle?

Accepted Answer

A = ½ (base × height)

Answer

A = πr²

Answer

A = bh

Answer

A = 4πr

Question 28

Which quadrilateral has four equal sides and four right angles?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Trapezium

Question 29

Which unit is used to measure length?

Accepted Answer

Metre

Answer

Kilogram

Answer

Second

Answer

Ampere

Question 30

What is the measure of the angle formed by two intersecting lines that are perpendicular to each other?

Accepted Answer

90 degrees

Answer

30 degrees

Answer

60 degrees

Answer

180 degrees

Question 31

What is the formula for calculating the area of a triangle?

Accepted Answer

A = 1/2 * base * height

Answer

A = base * height

Answer

A = (length * width) / 2

Answer

A = pi * radius^2

Question 32

Which of the following shapes is three-dimensional?

Accepted Answer

Sphere

Answer

Circle

Answer

Triangle

Answer

Square

Question 33

Which unit is used to measure length in the metric system?

Accepted Answer

Metre

Answer

Inch

Answer

Foot

Answer

Kilogram

Question 34

How many sides does a hexagon have?

Accepted Answer

6

Answer

5

Answer

7

Answer

8

Question 35

What is the main difference between the perimeter and area of a rectangle?

Accepted Answer

Perimeter is the distance around the rectangle, while area is the space inside the rectangle

Answer

Area is the distance around the rectangle, while perimeter is the space inside the rectangle

Answer

Both perimeter and area are measures of the size of the rectangle

Answer

None of the above is correct

Question 36

Which geometric transformation does not change the size or shape of a figure?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 37

A regular hexagon is a polygon with six sides of equal length and six angles of equal measure. Which of the following shapes is a regular hexagon?

Accepted Answer

A shape with 6 sides of equal length and 6 angles of equal measure

Answer

A shape with 6 sides of equal length and 6 angles of varying measure

Answer

A shape with 6 sides of varying length and 6 angles of equal measure

Answer

A shape with 6 sides of varying length and 6 angles of varying measure

Question 38

The area of a triangle is given by the formula ½ * base * height. What is the area of a triangle with a base of 6 cm and a height of 8 cm?

Accepted Answer

24 cm²

Answer

12 cm²

Answer

48 cm²

Answer

96 cm²

Question 39

The volume of a cylinder is given by the formula πr²h. What is the formula for the volume of a cylinder?

Accepted Answer

πr²h

Answer

4/3πr³

Answer

2πrh

Answer

π(r₁² + r₂²)h

Question 40

Regular polygons have all sides and all angles equal. Which of the following is a regular polygon?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Trapezoid

Question 41

The cosine of an angle is the ratio of the adjacent side to the hypotenuse. What is the cosine of a 30° angle?

Accepted Answer

0.707

Answer

0.5

Answer

1

Answer

√3

Question 42

Among the following options, which is NOT a valid type of angle?

Accepted Answer

Curved

Answer

Acute

Answer

Right

Answer

Straight

Question 43

Find the volume of a cube with sides measuring 4 cm.

Accepted Answer

64 cm³

Answer

16 cm³

Answer

32 cm³

Answer

128 cm³

Question 44

Which unit is used for measuring angles?

Accepted Answer

Degrees

Answer

Metres

Answer

Litres

Answer

Newtons

Question 45

Calculate the area of a circle having a radius of 5 cm.

Accepted Answer

25π cm²

Answer

10π cm²

Answer

50π cm²

Answer

100π cm²

Question 46

In a right-angled triangle, which method can be used to calculate the length of the hypotenuse?

Accepted Answer

Pythagoras' theorem

Answer

Sine

Answer

Cosine

Answer

Tangent

Question 47

Calculate the volume of a cubic water tank with a side length of 3 cm.

Accepted Answer

27 cm³

Answer

9 cm³

Answer

18 cm³

Answer

36 cm³

Question 48

Determine the angle formed by the hour and minute hands of a clock at 3:00.

Accepted Answer

90°

Answer

60°

Answer

120°

Answer

180°

Question 49

Calculate the surface area of a spherical balloon with a radius of 4 cm.

Accepted Answer

32π cm²

Answer

16π cm²

Answer

64π cm²

Answer

128π cm²

Question 50

Which formula is used to find the circumference of a circle?

Accepted Answer

C = 2πr

Answer

C = πr²

Answer

C = πd

Answer

C = 2πd

Question 51

Identify the unit of measurement used to express volume.

Accepted Answer

cm³

Answer

cm

Answer

cm²

Answer

cm⁴

Question 52

Name the theorem that states that the sum of the interior angles of a triangle is always 180°.

Accepted Answer

Angle sum theorem

Answer

Pythagorean theorem

Answer

Triangle inequality theorem

Answer

Law of sines

Question 53

Rectangle ABCD has a length of 6 cm and a width of 4 cm. Construct a similar rectangle with a scale factor of 2.

Accepted Answer

Rectangle with length 12 cm and width 8 cm

Answer

Rectangle with length 8 cm and width 4 cm

Answer

Rectangle with length 6 cm and width 8 cm

Answer

Rectangle with length 4 cm and width 2 cm

Question 54

Which unit is used to measure length?

Accepted Answer

Centimeter

Answer

Second

Answer

Liter

Answer

Gram

Question 55

Which shape is a 3D shape?

Accepted Answer

Sphere

Answer

Triangle

Answer

Circle

Answer

Square

Question 56

Which of the following is NOT a defining property of a circle?

Accepted Answer

Has four sides

Answer

Has a diameter

Answer

Has a circumference

Answer

Has a radius

Question 57

Which formula is used to calculate the volume of a cube?

Accepted Answer

s³

Answer

s²

Answer

2s³

Answer

4s³

Question 58

Which of these is a regular polygon?

Accepted Answer

Square

Answer

Trapezoid

Answer

Pentagon

Answer

Parallelogram

Question 59

Which of the following is NOT a unit of length?

Accepted Answer

Kilogram

Answer

Centimeter

Answer

Inch

Answer

Meter

Question 60

Which of these is a three-dimensional shape?

Accepted Answer

Cube

Answer

Square

Answer

Triangle

Answer

Circle

Question 61

Which of the following shapes has the largest area?

Accepted Answer

Rectangle with a length of 10 cm and a width of 5 cm

Answer

Circle with a radius of 3 cm

Answer

Square with a side length of 5 cm

Question 62

Which of the following units is used to measure the volume of a 3D object?

Accepted Answer

Cubic centimeters (cm³)

Answer

Degrees (°)

Answer

Square meters (m²)

Answer

Milliliters (ml)

Question 63

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. Calculate its volume.

Accepted Answer

30 cubic centimeters (cm³)

Answer

20 cubic centimeters (cm³)

Answer

15 cubic centimeters (cm³)

Question 64

What is the area of a circle with a radius of 5 cm?

Accepted Answer

78.5 square centimeters (cm²)

Answer

50.2 square centimeters (cm²)

Answer

125.6 square centimeters (cm²)

Answer

25.1 square centimeters (cm²)