Topic 15 Practice Paper: Mensuration — question paper (print)

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QQ/IGCSE-MATHS/T15

IGCSE · Cambridge IGCSE Mathematics (Extended (Core + Extended))

Topic 15 Practice Paper

Mensuration

Duration: 40 minutes

Total: 30 marks

Name:

Class:

Date:

READ THESE INSTRUCTIONS FIRST

Answer all questions.
Section A contains ten multiple-choice questions. Choose one answer, A, B, C or D, for each.
Section B contains structured questions. Write your answers in the spaces provided.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total mark for this paper is 30.

Original practice material written against the Cambridge IGCSE Mathematics syllabus. It is not an official Cambridge examination paper. Topic 15: metric unit conversions including area units and capacity, perimeter and area of rectangles, triangles, parallelograms and trapeziums, circles, arcs and sectors, volumes and surface areas of prisms, cylinders, cones, spheres and compound solids.

For Examiner’s Use
Section A	/ 10
Section B	/ 20
Total	/ 30

Section A: Multiple-choice questions[10 marks]

Choose one answer for each question. Every correct answer scores one mark.

1
3.5 m² written in cm² is
1. A350 cm²
2. B3500 cm²
3. C35 000 cm²
4. D350 000 cm²
( )
2
4750 cm³ written in litres is
1. A47.5 litres
2. B4.75 litres
3. C475 litres
4. D0.475 litres
( )
3
A parallelogram has base 9 cm and perpendicular height 4 cm. Its area is
1. A36 cm²
2. B13 cm²
3. C18 cm²
4. D72 cm²
( )
4
A trapezium has parallel sides 5 cm and 11 cm and perpendicular height 4 cm. Its area is
1. A64 cm²
2. B22 cm²
3. C16 cm²
4. D32 cm²
( )
5
A circle has a radius of 10 cm. Its circumference, in cm, is closest to
1. A31.4 cm
2. B62.8 cm
3. C314 cm
4. D100 cm
( )
6
Take a circle of radius 9 cm. Its area, in cm², is closest to
1. A56.5 cm²
2. B162 cm²
3. C254 cm²
4. D1018 cm²
( )
7
A wiper blade of length 12 cm sweeps through an angle of 60°. The tip traces an arc of length, in cm, closest to
1. A12.6 cm
2. B75.4 cm
3. C37.7 cm
4. D6.3 cm
( )
8
The region swept by the whole blade is a sector of radius 12 cm and angle 60°. Its area is closest to
1. A12.6 cm²
2. B37.7 cm²
3. C113 cm²
4. D75.4 cm²
( )
9
A water pipe is a cylinder of radius 4 cm and length 9 cm. Its volume, in cm³, is closest to
1. A113 cm³
2. B452 cm³
3. C226 cm³
4. D904 cm³
( )
10
A conical tent has base radius 5 m and slant edge 12 m. The canvas on its curved surface has area closest to (Extended)
1. A60 m²
2. B117.8 m²
3. C188.5 m²
4. D314.2 m²
( )

Section B: Structured questions[20 marks]

Answer all questions in the spaces provided. Show all your working.

11
Units and capacity.
1. (a)
  Write 0.75 m² in cm².
  [1]
2. (b)
  A storage box measures 30 cm by 25 cm by 16 cm. Find its volume in cm³.
  [2]
3. (c)
  Write your answer to (b) in litres.
  [2]
12
A rectangular lawn measures 12 m by 8 m. A rectangular pond 5 m by 3 m is built in the middle of it.
1. (a)
  Find the area of lawn remaining.
  [2]
2. (b)
  Grass seed is needed at 50 grams per square metre of lawn. Find the total mass of seed required, giving your answer in kilograms.
  [3]
13
A pizza slice is a quarter of a circular pizza of radius 7 cm. Give your answers correct to 3 significant figures.
1. (a)
  Find the length of the curved crust.
  [2]
2. (b)
  Find the area of the slice.
  [3]
14
A solid is a cylinder of radius 3 cm and height 10 cm with a hemisphere of radius 3 cm fixed on top. (Extended)
1. (a)
  Find the volume of the whole solid, giving your answer correct to three significant figures.
  [3]
2. (b)
  Find the total surface area of the solid (curved cylinder plus curved hemisphere), to 3 significant figures.
  [2]

— End of paper —