Chapter 9 Practice Paper: Perimeter, Area, Volume and Surface Area — question paper (print)

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QuizQuipPractice Series

QQ/S1MATH/CH9

Secondary 1 · Lower Secondary Mathematics (G2 / G3)

Chapter 9 Practice Paper

Perimeter, Area, Volume and Surface Area

Duration: 40 minutes

Total: 30 marks

Name:

Class:

Date:

READ THESE INSTRUCTIONS FIRST

Write your name, class and register number in the spaces at the top of this page.
Answer all questions.
Section A: write the letter (A, B, C or D) of the correct answer in the brackets provided.
Section B: write your answers in the spaces provided.
Show all working. Marks may be awarded for correct working even if the final answer is wrong.
Give units with your answers where appropriate.
The number of marks is given in brackets [ ] at the end of each question or part question.

Original practice material written for the MOE Lower Secondary Mathematics syllabus. It is not an official MOE or school examination paper. Chapter 9.

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

Section A: Multiple-choice questions[10 marks]

Answer all questions. For each question, write the letter (A, B, C or D) of the correct answer in the brackets provided.

1
A parallelogram has an area of 36 cm² and a base of 9 cm. Its perpendicular height is
1. A324 cm
2. B13 cm
3. C4 cm
4. D3 cm
( )
2
A triangle has an area of 42 cm² and a base of 14 cm. Its perpendicular height is
1. A6 cm
2. B12 cm
3. C7 cm
4. D3 cm
( )
3
A rectangle measures 7 cm by 3 cm. Its perimeter is
1. A10 cm
2. B21 cm
3. C14 cm
4. D20 cm
( )
4
A trapezium has an area of 72 cm², with parallel sides of 10 cm and 14 cm. The perpendicular distance between them is
1. A5 cm
2. B6 cm
3. C7.2 cm
4. D12 cm
( )
5
The volume of a cube of edge 3 cm is
1. A9 cm³
2. B27 cm²
3. C27 cm³
4. D6 cm³
( )
6
A water trough has a uniform cross-section of area 18 cm² and is 12 cm long. Its volume is
1. A216 cm³
2. B30 cm³
3. C72 cm³
4. D1.5 cm³
( )
7
A cuboid measures 5 cm by 4 cm by 3 cm. Its total surface area is
1. A60 cm²
2. B47 cm²
3. C12 cm²
4. D94 cm²
( )
8
How many cubic centimetres are there in 2.5 m³?
1. A2 500 cm³
2. B2 500 000 cm³
3. C25 000 cm³
4. D250 cm³
( )
9
A tin can stands 12 cm tall on a circular base of radius 7 cm. Using pi = 22/7, the volume of the can is
1. A1 848 cm³
2. B264 cm³
3. C528 cm³
4. D616 cm³
( )
10
A wall 8 m long and 3 m high is painted at a cost of $2.50 per square metre. The total cost is
1. A$24
2. B$11
3. C$60
4. D$120
( )

Section B: Structured questions[20 marks]

Answer all questions in the spaces provided. Show your working clearly. Take pi as 22/7 unless told otherwise.

1
A rectangular field measures 12 m by 8 m. A rectangular shed with a base 5 m by 3 m stands in one corner of the field.
1. (a)
  Find the area of the whole field.
  area =[1]
2. (b)
  Work out the area of the shed’s floor.
  area =[1]
3. (c)
  Find the area of field that is not covered by the shed.
  area =[1]
4. (d)
  Turf for the uncovered area costs $12 per square metre. Find the total cost of turfing it.
  [2]
2
A rectangle has a breadth of x cm and a length that is 4 cm more than its breadth. Its area is 45 cm².
1. (a)
  Write an expression for the length, and an equation for the area.
  [2]
2. (b)
  Find x by testing whole-number values.
  [2]
3. (c)
  Find the perimeter of the rectangle.
  perimeter =[1]
3
A cuboid block measures 6 cm by 4 cm by 2.5 cm.
1. (a)
  Find the volume of the block.
  volume =[1]
2. (b)
  Find the total surface area of the block.
  [2]
3. (c)
  A storage box measures 12 cm by 12 cm by 10 cm. How many of these blocks can fill the box exactly?
  [2]
4
A closed tin is a cylinder that stands 15 cm tall, with a lid of radius 7 cm. Take pi as 22/7.
1. (a)
  Find the volume of the tin.
  [2]
2. (b)
  Find the curved surface area of the tin.
  [2]
3. (c)
  Explain why volume is measured in cubic units while surface area is measured in square units.
  [1]

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