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Chapter 2 Practice Paper: Ratio, Rate and Speed — question paper

QuizQuipPractice Series
QQ/S3EM/CH2

Secondary 3 · Elementary Mathematics (G2 / G3)

Chapter 2 Practice Paper

Ratio, Rate and Speed

Duration: 40 minutes
Total: 30 marks
Name:
Class:
Register No.:
Date:

READ THESE INSTRUCTIONS FIRST

  • Write your name, class and register number in the spaces at the top of this page.
  • Answer all questions.
  • Show all necessary working. Omission of essential working will result in loss of marks.
  • Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.
  • Geometrical instruments and an approved calculator may be used.
  • The number of marks is given in brackets [ ] at the end of each question or part question.
  • The total number of marks for each paper is shown on its cover.

Original practice material written for the MOE Elementary Mathematics syllabus. It is not an official MOE or school examination paper. Chapter 2 (N2 Ratio and proportion, N4 Rate and speed).

For Examiner’s Use
Section A/ 30
Total/ 30

Section A: Structured questions[30 marks]

Answer all questions in the spaces provided. Show all necessary working — omission of essential working will result in loss of marks. Give non-exact numerical answers correct to 3 significant figures unless told otherwise.

  1. 1

    This question is about simplifying ratios.

    1. (a)

      Simplify 2.5 : 0.15.

      [2]
    2. (b)

      Simplify 2/5 : 3/10.

      [2]
    3. (c)

      Given a : b = 1 : 2 and b : c = 3 : 4, write a : b : c in its simplest form.

      Answer =[1]
  2. 2

    A prize of $1 050 is shared between two sisters and a brother in the ratio 2 : 3 : 2.

    1. (a)

      Find each person’s share.

      [3]
    2. (b)

      Write the largest share as a fraction of the total prize, in its simplest form.

      Answer =[2]
  3. 3

    A park is drawn on a town plan with scale 1 : 25 000.

    1. (a)

      The park’s length measures 7.4 cm on the plan. Find the real length in kilometres.

      [2]
    2. (b)

      A nature reserve of real area 0.25 km² is drawn on the same plan. Find its area on the plan.

      [4]
  4. 4

    This question is about proportion.

    1. (a)

      Nine workers can build a wall in 16 days. All working at the same rate, how long would 12 workers take?

      [3]
    2. (b)

      A pancake mixture for 4 people uses 300 g of flour. How much flour does the same mixture need for 10 people?

      [3]
  5. 5

    A delivery driver travels 108 km on an expressway at an average speed of 90 km/h, then 40 km through town at an average speed of 40 km/h.

    1. (a)

      Find the total driving time, in minutes.

      [3]
    2. (b)

      Find the average speed for the whole journey, correct to 3 significant figures.

      [3]
    3. (c)

      Express your answer to (b) in metres per second, correct to 3 significant figures.

      [2]

— End of paper —