Mathematics for IGCSE & O level - Mensuration (Section 11)

• 1

  If a solid hemisphere has a radius of 4 cm, what is its volume?

  回答

  (D)

  100 cm³
• 2

  In what units should area always be expressed?

  回答

  (C)

  Square Units
• 3

  When working out to solve a problem, what is the first step to follow?

  回答

  (B)

  Read the question carefully
• 4

  A rectangular field is 20m long and has an area of 100m². What is the width of the field?

  回答

  (A)

  5 m
• 5

  A pyramid has a square base with a side of 4cm and a perpendicular height of 9cm. What is the volume of the pyramid?

  回答

  (A)

  48 cm³
• 6

  What information is needed to calculate the area of a rectangle?

  回答

  A

  B
• 7

  What do you need to find the area of a triangle?

  回答

  A

  B
• 8

  What is the approximate circumference of a circle with a radius of 14cm?

  回答

  (C)

  176 cm
• 9

  How is the slant height of a cone related to its radius and height?

  回答

  (B)

  Slant height = √(radius² + height²)
• 10

  Calculate the volume of a prism. 10cm long with each of these cross sections: Triangle with base 2cm, height 8.5cm

  回答

  (A)

  85 cm³
• 11

  What is the volume of a prism?

  回答

  (A)

  area of cross-section x length
• 12

  Which of the following shapes would need the Pythagorean Theorem to calculate its area?

  回答

  (C)

  A right-angled triangle
• 13

  Which of the following are key parts of the formula for the area of a sector of a circle?

  回答

  A

  B
• 14

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

  回答

  (C)

  Area = 1/2 * base * height
• 15

  A vase is a prism with a cross section as shown. The internal measurements are as shown. How much water can the vase hold? Give your answer in litres. (Remember that 1 litre = 1000cm³). The vase is a right angle traingle with sides 12cm x 15cm and 10cm high.

  回答

  (A)

  0.90 Litres
• 16

  What is an important part of every answer to a mensuration problem?

  回答

  (B)

  The correct units are included.
• 17

  What is the formula for arc length?

  回答

  (B)

  (θ/360) x 2πr
• 18

  Which of the following formulas is used to calculate the curved surface area of a cylinder?

  回答

  (A)

  2πrh
• 19

  What is the relationship between the radius (r) and the diameter (d) of a circle?

  回答

  A

  B
• 20

  What is the formula for the surface area of a solid hemisphere (including the base)?

  回答

  (B)

  3πr²
• 21

  Which of the following are required to calculate the volume of a prism?

  回答

  A

  B
• 22

  What must you remember when giving an answer for area?

  回答

  (A)

  That all units are square units.
• 23

  What do you need to know to calculate the volume of a cylinder?

  回答

  A

  B
• 24

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

  回答

  (A)

  10.1 cm
• 25

  What is the relationship between the surface area of a sphere and the area of its great circle?

  回答

  (C)

  The surface area is four times the area of the great circle.
• 26

  A pyramid has a volume of 50 cm³ and a base area of 15 cm². What is the height of the pyramid?

  回答

  (D)

  10 cm
• 27

  A parallelogram has a base of 7cm and a height of 4 cm. What is the area?

  回答

  (A)

  28 cm²
• 28

  What formula is used to determine the volume of a pyramid?

  回答

  (A)

  1/3 x area of base x height
• 29

  A cone has a base with an area of 28.26 cm² and a height of 6 cm. What is the volume of the cone?

  回答

  (A)

  56.52 cm³
• 30

  The surface area of a sphere is 64π cm². What is the radius of the sphere?

  回答

  (A)

  4 cm
• 31

  What is the area of a triangle with a base of 10 cm and a height of 5 cm?

  回答

  (B)

  25 cm²
• 32

  What is the area of a parallelogram with a base of 6 cm and a height of 8 cm?

  回答

  (B)

  48 cm²
• 33

  A sphere containing liquid has a capacity of 7.15 litres. Calculate its radius.

  回答

  (B)

  11.8 cm
• 34

  What is the volume of a hemisphere with a radius of 6 cm?

  回答

  (C)

  226.2 cm³
• 35

  What is the total surface area of a cylinder with a radius of 3cm and a height of 7cm?

  回答

  (A)

  188.5 cm²
• 36

  A chocolate box is in the shape of a triangular prism. Calculate its volume. The triangle is 6.2cm height, 5cm base and prism is 12cm long.

  回答

  (A)

  186 cm³
• 37

  What units are used to measure volume?

  回答

  (B)

  Cubic units
• 38

  The circumference of a circle can be calculated using the formula: C = πd. What does 'd' represent?

  回答

  (B)

  Diameter
• 39

  Which of the following shape has a base and curved surface?

  回答

  (C)

  Cone
• 40

  What is the relationship between a circle and a sector?

  回答

  (A)

  A sector is a part of a circle.
• 41

  Which is the best method to calculate the volume of an irregular shape?

  回答

  (C)

  Use water displacement.
• 42

  If the height of a cylinder is doubled, how is its volume affected?

  回答

  (A)

  The volume doubles.
• 43

  What is the area of a parallelogram with a base of 12cm and a height of 5cm?

  回答

  (A)

  60 cm²
• 44

  The volume of a cuboid is calculated by:

  回答

  (C)

  length * width * height
• 45

  What are the Key Points used for?

  回答

  (B)

  To study the formulas and properties
• 46

  The volume of a prism is always calculated using:

  回答

  (C)

  The area of its cross-section x length
• 47

  A trapezium has parallel sides of 5cm and 7cm and a height of 3cm. What is the area?

  回答

  (C)

  21 cm²
• 48

  What is the formula for the area of a parallelogram?

  回答

  (C)

  base x height
• 49

  What is a 'frustum' in the context of 3D shapes?

  回答

  (B)

  The portion of a cone or pyramid remaining after the top is cut off