Chapter 17 Practice Paper: Perimeter, area and volume — question paper (print)

Back to Chapter 17

Mark scheme PDF

QuizQuipPractice Series

QQ/GCSE-MATHS/CH17

GCSE (9–1) · GCSE Mathematics (Foundation with Higher stretch)

Chapter 17 Practice Paper

Perimeter, area and volume

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.
Use the π button on your calculator and give answers to 1 decimal place where they are not exact.
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 for the MOE GCSE Mathematics syllabus. It is not an official MOE or school examination paper. Chapter 17: metric unit conversions, perimeter and area of rectilinear shapes, triangles, parallelograms and trapezia, circle circumference and area, arc lengths and sector areas, prism and cylinder volumes and surface areas, and (Higher) cones, spheres and composite 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
A square has sides of 7.5 cm. Its perimeter is
1. A56.25 cm
2. B30 cm
3. C15 cm
4. D150 cm
( )
2
A triangle stands on an 8 cm base and rises 11 cm. Its area is
1. A88 cm²
2. B19 cm²
3. C44 cm²
4. D30 cm²
( )
3
Parallel sides of 4 cm and 8 cm with height 6 cm give a trapezium area of
1. A48 cm²
2. B36 cm²
3. C24 cm²
4. D18 cm²
( )
4
The distance around a 10 cm diameter circle, to 1 decimal place, is
1. A78.5 cm
2. B15.7 cm
3. C314.2 cm
4. D31.4 cm
( )
5
The space inside a circle of radius 3 cm, to 1 decimal place, is
1. A28.3 cm²
2. B18.8 cm²
3. C9.4 cm²
4. D56.5 cm²
( )
6
An arc cuts off 120° of a circle of radius 6 cm. Its length is
1. A37.7 cm
2. B6.3 cm
3. C12.6 cm
4. D25.1 cm
( )
7
Stacking a 2 cm, 7 cm and 9 cm edge gives a box of volume
1. A126 cm³
2. B18 cm³
3. C63 cm³
4. D252 cm³
( )
8
A tin of radius 4 cm stands 5 cm tall. To 1 decimal place, its volume in cm³ is
1. A62.8 cm³
2. B100.5 cm³
3. C125.7 cm³
4. D251.3 cm³
( )
9
A ribbon 4.6 m long is written in centimetres as
1. A460 cm
2. B46 cm
3. C0.46 cm
4. D4600 cm
( )
10
A conical hat: radius 5 cm, vertical height 6 cm. The space inside, to 1 decimal place, is
1. A471.2 cm³
2. B62.8 cm³
3. C157.1 cm³
4. D523.6 cm³
( )

Section B: Structured questions[20 marks]

Show all your working. Marks are given for method as well as for the final answer.

11
Two quadrilateral areas.
1. (a)
  Find the area of a parallelogram with a 12 cm base and a 7 cm height measured at right angles to it.
  [2]
2. (b)
  Work out the area of a trapezium whose parallel sides measure 9 cm and 13 cm, six centimetres apart.
  [2]
12
One circle, measured twice.
1. (a)
  The edge of a circular pond sits 7.5 m from the centre. How long is the edge, to 1 decimal place?
  [2]
2. (b)
  How much water surface does the pond cover, to 1 decimal place?
  [2]
13
A dining-room floor.
1. (a)
  A floor is a 10 m by 8 m rectangle with a 3 m by 4 m serving area roped off. Find the remaining floor area.
  [2]
2. (b)
  Find the perimeter of the full 10 m by 8 m rectangle.
  [2]
14
A water tank.
1. (a)
  A cylindrical water tank stands 20 m tall on a 6 m radius. Work out its volume, to 1 decimal place.
  [2]
2. (b)
  Find the curved surface area of the tank wall, to 1 decimal place.
  [2]
15
A giant bauble. (Higher)
1. (a)
  A giant bauble is a sphere of radius 12 cm. Find the area of its curved surface, to 1 decimal place.
  [2]
2. (b)
  How much space does the bauble enclose, to 1 decimal place?
  [2]

— End of paper —