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Chapter 6G2 / G3

Sec 1 Mathematics Percentage topical questions

15 exam-style questions (51 marks) in three tiers. Try each one on paper first, then check the model answer and mark scheme.

Chapter 6 notes

15 questions · 51 marks

Showing 15 of 15 questions

Foundation

Recall and simple application

  1. Q1Foundation[3 marks]

    Convert each value as instructed.

    1. (a)Express 7/25 as a percentage.[1]
    2. (b)Express 0.06 as a percentage.[1]
    3. (c)Express 65% as a fraction in its simplest form.[1]
  2. Q2Foundation[2 marks]

    Find 42% of 350.

  3. Q3Foundation[2 marks]

    A dress priced at $68 is sold at a 25% discount. Find the sale price.

  4. Q4Foundation[2 marks]

    In a class of 40 students, 55% are girls. How many boys are there?

  5. Q11Foundation[3 marks]

    Work out each value.

    1. (a)Express 9/40 as a percentage.[1]
    2. (b)Find 120% of 45.[1]
    3. (c)State $3 out of the $24 total as a percentage.[1]
  6. Q12Foundation[2 marks]

    A kopi stall raises the price of a coffee from $1.20 to $1.35. Find the percentage increase.

Standard

Structured, exam-style

  1. Q5Standard[4 marks]

    A shop buys a lamp for $80 and sells it for $98.

    1. (a)Find the profit in dollars.[1]
    2. (b)Express the profit as a percentage of the cost price.[2]
    3. (c)State whether the profit is 22.5% of the selling price. Justify briefly.[1]
  2. Q6Standard[4 marks]

    The number of visitors to a park rose from 2 400 in January to 3 060 in February.

    1. (a)Find the increase in visitors.[1]
    2. (b)Express the increase as a percentage of the January figure.[2]
    3. (c)In March the park expects the February figure to decrease by 10%. Estimate the March attendance.[1]
  3. Q7Standard[3 marks]

    A laptop is sold at $840 after a discount of 16% on its marked price.

  4. Q13Standard[4 marks]

    A bubble tea shop gives members 15% off the usual price. Priya’s member price for a large drink is $5.10.

    1. (a)Find the usual price of the drink.[2]
    2. (b)Priya pays with a $10 note. How much change does she receive?[2]
  5. Q14Standard[4 marks]

    A restaurant bill comes to $86 before charges. GST is 9%, and the stall adds a 10% service charge, both computed on the $86.

    1. (a)Find the GST on $86.[1]
    2. (b)Find the total bill with GST only.[1]
    3. (c)Find the total bill with both the service charge and GST.[2]

Challenging

Data, evaluation and explanation

  1. Q8Challenging[4 marks]

    A hawker stall’s revenue rises by 20% in June, then falls by 20% in July, ending at $3 456.

    1. (a)Find the May revenue.[3]
    2. (b)Explain in one sentence why the revenue did not return to its May value.[1]
  2. Q9Challenging[4 marks]

    Mr Tan pays 7.5% of his monthly salary into a savings plan and spends $3 480, which is 87% of his salary, keeping the rest as cash.

    1. (a)Find his monthly salary.[2]
    2. (b)Find the amount he keeps as cash.[2]
  3. Q10Challenging[5 marks]

    A bank pays simple interest of 2% per year. Deva invests $P and removes the total amount after 4 years, which is $2 160.

    1. (a)Write an expression for the amount after 4 years in terms of P.[2]
    2. (b)Find P.[2]
    3. (c)State the total interest earned.[1]
  4. Q15Challenging[5 marks]

    A shopkeeper marks a bag at $180. During a sale he gives a 25% discount and still makes a profit of 20% on his cost price.

    1. (a)Find the sale price of the bag.[1]
    2. (b)Explain why the cost price satisfies Cost × 1.2 = sale price.[2]
    3. (c)Find the cost price.[2]

Next step

Sit the practice paper

A 30-mark paper set out like a school paper, with a separate mark scheme. Give yourself 40 min.

Question paper

Chapter 6 Practice Paper

30 marks · 40 min · 5 pages

10 multiple-choice questions and structured questions with answer lines. Chapter 6.

Mark scheme

PRO

Chapter 6 Practice Paper — mark scheme

Answers · Marking points · 3 pages

Model answers with a mark for each creditworthy point — for marking at home or in class.