Mathematics for IGCSE & O level - Mensuration (Section 8)

• 1

  Which of the following are units that could be used to measure area?

  回答

  B

  C
• 2

  Which of the following is a 2-D shape?

  回答

  (C)

  A circle
• 3

  A pyramid has a square base with side of 5cm, find its volume if its height is 10cm.

  回答

  (B)

  93.3 cm³
• 4

  A cone has a base radius of 4.2 cm and a slant height of 15.0 cm. Calculate the height

  回答

  (A)

  14.3 cm
• 5

  A triangle has an area of 30cm². If the base is 10 cm, what is its height?

  回答

  (C)

  15 cm
• 6

  What is the formula for the area of a circle?

  回答

  (B)

  Area = πr²
• 7

  To calculate the perimeter of a 2-D shape, what do you need to know?

  回答

  (C)

  The lengths of all the sides of the shape.
• 8

  To find the area of a parallelogram, which two measurements are needed?

  回答

  (B)

  Base and height.
• 9

  A parallelogram has an area of 40 cm². If the base is 8 cm, what is the height?

  回答

  (B)

  5 cm
• 10

  A field is in the shape of a parallelogram. Its base is 15m and its height is 10m. What is the area of the field?

  回答

  (C)

  150 m²
• 11

  What is the relationship between the radius and circumference of a circle?

  回答

  (A)

  Circumference = 2π * radius
• 12

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

  回答

  (C)

  Area = side²
• 13

  If the circumference of a circle is 31.4 cm, what is its approximate radius?

  回答

  (B)

  5 cm
• 14

  If a circle has a radius of 6 cm, what is its approximate area?

  回答

  (B)

  113.04 cm²
• 15

  What is meant by 'perpendicular height'?

  回答

  (C)

  A line that forms a right angle with the base.
• 16

  Which of the following is an example of a 2D shape?

  回答

  (C)

  A triangle
• 17

  If a rectangular prism has a volume of 60 cm³ and a base area of 15 cm², what is its height?

  回答

  (D)

  6 cm
• 18

  A parallelogram has a base of 15 cm and a height of 8 cm. What is its area?

  回答

  (C)

  120 cm²
• 19

  Find the volume of a cone with a base radius of 6 cm and a height of 7 cm.

  回答

  (A)

  263.9 cm³
• 20

  What two measurements are needed to calculate the perimeter of a rectangle?

  回答

  (B)

  Length and Width
• 21

  What factors are necessary to calculate the volume of a rectangular prism?

  回答

  A

  B

  C
• 22

  A cone has a base radius of 4.2 cm and a slant height of 15.0 cm. Calculate the height

  回答

  (A)

  14.3 cm
• 23

  If the side of a square is 7 meters, what is the area?

  回答

  (C)

  49 m²
• 24

  The formula for the area of a rectangle is...

  回答

  (C)

  Length * Width
• 25

  What geometric measurements are needed to find the volume of a rectangular prism?

  回答

  A

  B

  C
• 26

  To determine the area of a circle, which of these must be known?

  回答

  A

  B
• 27

  The volume of a cylinder is found by:

  回答

  (B)

  Area x height
• 28

  A rectangular cupboard is 2m by 1 m by 1.6 m. Find its volume.

  回答

  (A)

  3.2 m³
• 29

  What is the formula to calculate the volume of a prism?

  回答

  (B)

  V = area of base x height
• 30

  A solid cone has base radius of 6.5 cm and a height of 6.3 cm. Calculate its total surface area.

  回答

  (C)

  334.4 cm²
• 31

  To find the area of a rectangle, you need to know:

  回答

  A

  B
• 32

  A square has sides of 7 cm. What is the area of the square?

  回答

  (C)

  49 cm²
• 33

  What is the perimeter of a rectangle with a length of 5cm and a width of 3cm?

  回答

  (C)

  16 cm
• 34

  What is the difference between area and volume?

  回答

  (A)

  Area measures 2D space, volume measures 3D space.
• 35

  What units should be used when measuring area?

  回答

  (C)

  Square centimeters
• 36

  Which of the following is an example of a two-dimensional (2D) shape?

  回答

  (C)

  A triangle
• 37

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

  回答

  (B)

  78.5 cm²
• 38

  A cylinder has a radius of 4 cm and a height of 10 cm. What is its volume?

  回答

  (A)

  502.7 cm³
• 39

  What is the shape of the cross-section of a cylinder?

  回答

  (C)

  Circle
• 40

  A sphere has a surface area of 1274 cm². Calculate the radius.

  回答

  (A)

  10 cm
• 41

  Calculate the total surface area of a solid hemisphere with radius 7.1 cm and diameter 4.7 cm.

  回答

  (B)

  356.1 cm²
• 42

  Which of the following information is necessary to determine the circumference of a circle?

  回答

  A

  B
• 43

  If the base of a triangle is 6 cm and the height is 4 cm, what is the area?

  回答

  (C)

  12 cm²
• 44

  If the radius of a sphere is halved, how does its volume change?

  回答

  (C)

  It is reduced by a factor of 8.
• 45

  A tower of a castle has walls in the form of a cylinder and a roof in the shape of a cone. The diameter of the tower is 5.6 m and the height of the wall is 12 m. The roof has a height of 6.2 m. What is the total surface area of the tower (excluding the base)?

  回答

  (B)

  325.8 m²
• 46

  If the side of a square is 5cm, what is the perimeter?

  回答

  (C)

  20 cm
• 47

  Complete the statement: A cube has ____ faces.

  回答

  (B)

  6
• 48

  Find the volume of a cone with a base radius of 6 cm and a height of 7 cm.

  回答

  (A)

  263.9 cm³
• 49

  A cone has a base radius of 5cm and a perpendicular height of 12cm. Calculate for curved surface area.

  回答

  (B)

  204.2 cm²
• 50

  Which formula calculates the volume of a sphere?

  回答

  (A)

  V = 4/3πr³