Chapter 7 Practice Paper: Ratio, Rate and Speed — question paper (print)

Back to Chapter 7

Mark scheme PDF

QuizQuipPractice Series

QQ/S1MATH/CH7

Secondary 1 · Lower Secondary Mathematics (G2 / G3)

Chapter 7 Practice Paper

Ratio, Rate and Speed

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 7.

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
The ratio 45 : 60 in its simplest form is
1. A4 : 3
2. B3 : 4
3. C15 : 20
4. D9 : 12
( )
2
$88 is shared between two friends in the ratio 5 : 6. The shares are
1. A$8 and $80
2. B$48 and $40 (smaller first)
3. C$45 and $43
4. D$40 and $48
( )
3
Given the equivalent ratios 4 : 7 = 12 : n, find n.
1. A21
2. B16
3. C28
4. D49
( )
4
A typist types 250 words in 5 minutes. The rate of typing is
1. A1 250 words per minute
2. B2 550 words per minute
3. C50 words per minute
4. D45 words per minute
( )
5
A coach travels at 65 km/h for 4 hours. The distance travelled is
1. A16.25 km
2. B260 km
3. C69 km
4. D640 km
( )
6
Three children share $144 in the ratio 3 : 4 : 5. The largest share is
1. A$60
2. B$48
3. C$54
4. D$45
( )
7
A map has a scale of 1 : 25 000. An 8 cm road on the map represents
1. A200 km
2. B20 km
3. C0.2 km
4. D2 km
( )
8
A bus covers 90 km at an average speed of 60 km/h. The journey takes
1. A0.67 h
2. B54 h
3. C1.5 h
4. D2 h
( )
9
A 4 m car is drawn in a picture as 8 cm long. The scale of the picture is
1. A1 : 50
2. B1 : 500
3. C1 : 5
4. D8 : 4
( )
10
Find the average speed of a train that covers 126 km in 1 h 30 min.
1. A189 km/h
2. B19 km/h
3. C42 km/h
4. D84 km/h
( )

Section B: Structured questions[20 marks]

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

1
This question is about ratios.
1. (a)
  Simplify the ratio 18 : 24 : 30.
  answer =[1]
2. (b)
  Two sisters share $126 in the ratio 4 : 5. Find each share.
  [2]
3. (c)
  Red and blue marbles are in the ratio 3 : 5. There are 12 more blue marbles than red marbles. Find the total number of marbles.
  [2]
2
This question is about rates.
1. (a)
  A bottling machine fills 675 bottles in 3 minutes. Find its filling rate in bottles per minute.
  rate =[2]
2. (b)
  At the same rate, how many bottles does the machine fill in 7 minutes?
  bottles =[1]
3. (c)
  An office copier produces 24 copies per minute. How long does it take to make 330 copies? Give your answer in minutes and seconds.
  [2]
3
A coach travels 260 km from Singapore to Kuala Lumpur in 3 hours 15 minutes.
1. (a)
  Calculate its average speed in km/h.
  [3]
2. (b)
  The coach then makes a 150 km trip at an average speed of 60 km/h. Find the time taken, in hours and minutes.
  [2]
4
A town map is drawn to a scale of 1 : 40 000.
1. (a)
  Find the actual distance, in km, represented by 5 cm on the map.
  [2]
2. (b)
  The town library is 1.2 km from the sports hall. How far apart are they on the map, in cm?
  [2]
3. (c)
  Explain why the scale 1 : 40 000 has no units.
  [1]

— End of paper —