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Chapter 1 Practice Paper: Numbers and Their Operations — question paper

QuizQuipPractice Series
QQ/S3EM/CH1

Secondary 3 · Elementary Mathematics (G2 / G3)

Chapter 1 Practice Paper

Numbers and Their Operations

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 1 (N1 Numbers and their operations).

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 prime factorisation.

    1. (a)

      Use repeated division by primes to write 504 as a product of prime factors in index notation.

      [2]
    2. (b)

      Using your answer to (a), explain whether 504 is a perfect square.

      [2]
  2. 2

    Answer the whole of this question without a calculator.

    1. (a)

      Evaluate 16^(3/4).

      16^(3/4) =[2]
    2. (b)

      Simplify (3m⁻²)³ ÷ (9m⁻⁴).

      [3]
  3. 3

    This question is about standard form.

    1. (a)

      Write 0.0000368 in standard form.

      Answer =[1]
    2. (b)

      Find the value of (3.68 × 10⁻⁵) × (5 × 10⁷). Your final answer must be in standard form.

      [3]
  4. 4

    Two neon signs above a shop flash at fixed intervals. The red sign flashes every 9 seconds and the green sign flashes every 15 seconds. They both flash together at 20 00.

    1. (a)

      Write down the prime factorisation of 9 and of 15.

      [1]
    2. (b)

      Find the number of seconds between consecutive flashes of the two signs together.

      Answer =[2]
    3. (c)

      How many more times will the two signs flash together in the next 4 minutes (240 seconds)?

      [2]
  5. 5

    This question is about estimation.

    1. (a)

      Round 8.049 correct to 1 significant figure.

      Answer =[1]
    2. (b)

      Using suitable roundings, estimate the value of (8.049 × 19.6²) ÷ 0.481, showing the numbers you use.

      [3]
    3. (c)

      Use a calculator to find the value of (8.049 × 19.6²) ÷ 0.481, correct to 3 significant figures.

      Answer =[2]
  6. 6

    A laptop hard disk can store 2 × 10¹² bytes of data. Each photograph saved to the disk takes an average of 3.5 × 10⁶ bytes.

    1. (a)

      Find the maximum number of complete photographs the disk can store, giving your answer in standard form.

      [3]
    2. (b)

      A second disk stores 8 × 10¹¹ bytes. How many times more data can the larger disk store than the smaller one?

      Answer =[2]
    3. (c)

      The larger disk is advertised as holding "2 terabytes", where 1 terabyte = 10¹² bytes. Comment on whether the advertisement is consistent with the data given.

      [1]

— End of paper —