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Chapter 3 Practice Paper: Percentage and Personal Finance — question paper

QuizQuipPractice Series
QQ/S3EM/CH3

Secondary 3 · Elementary Mathematics (G2 / G3)

Chapter 3 Practice Paper

Percentage and Personal Finance

Duration: 40 minutes
Total: 30 marks
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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 3 (N3 Percentage, with interest, GST, tax and hire-purchase contexts).

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; money answers to the nearest cent unless told otherwise.

  1. 1

    This question is about percentage change.

    1. (a)

      A library expands its collection from 8 500 books to 9 180 books. Find the percentage increase.

      [2]
    2. (b)

      A value falls by 12% and then rises by 12%. Show that the value is smaller at the end, and state the overall percentage change.

      [3]
  2. 2

    After a 30% staff discount, a desk costs $378 at the school-supplier sale.

    1. (a)

      Find the price before the discount.

      [2]
    2. (b)

      The supplier then raises the discounted price by 5% for delivery costs. Find the final price.

      [2]
  3. 3

    Mei saves $6 000 in an account paying 4% per year.

    1. (a)

      Find the simple interest earned in 3 years.

      Answer =[2]
    2. (b)

      Find the amount in the account after 3 years if interest is compounded yearly, correct to the nearest cent.

      [3]
    3. (c)

      How much more does the compound account hold than the simple-interest total?

      [1]
  4. 4

    A café’s monthly electricity usage is billed in two tiers: the first 400 kWh at $0.2712 per kWh and every further kWh at $0.3517, before GST of 9%. Last month the café used 615 kWh.

    1. (a)

      Find the charge before GST.

      [3]
    2. (b)

      Find the GST-inclusive total, correct to the nearest cent.

      [2]
    3. (c)

      Next month the café cuts usage to 615 × 0.9 kWh. Explain why the bill falls by more than 10%, with a one-sentence reason.

      [2]
  5. 5

    A washing machine costs $1 450 cash. On hire purchase: a 20% deposit, then the balance plus 5% per year simple interest for 2 years, repaid in 24 equal monthly instalments.

    1. (a)

      Find the deposit and the balance owed after the deposit.

      [2]
    2. (b)

      Find the interest charged over the 2 years.

      Answer =[2]
    3. (c)

      Find each monthly instalment, correct to the nearest cent.

      [2]
    4. (d)

      How much more does the machine cost on hire purchase than for cash?

      [2]

— End of paper —