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Cambridge IGCSE Maths (0580) · Topic 1: Number · 1.13

Cambridge IGCSE Maths 0580 Percentages Questions

Percentages questions with worked answers for Cambridge IGCSE Mathematics (0580). Each question says whether it is Core or Extended and whether it is for a calculator or non-calculator paper. Try each one before you open the answer.

Practise percentages →Percentages notes

What the syllabus asks

Summarised in our own words: check the exact wording in the official 0580 syllabus.

Percentages questions: Core

For everyone: Core students (Papers 1 and 3) and Extended students (Papers 2 and 4).

Question 1 Core non-calculator · easy

Work out \(35\%\) of \(260\).

Show the worked answer
  1. \(10\% = 26\), so \(30\% = 78\). \(5\% = 13\).
  2. \(35\% = 78 + 13 = 91\).

Answer: \(91\)

Question 2 Core calculator · easy

Increase \(450\) by \(12\%\).

Show the worked answer
  1. Multiplier \(1 + 0.12 = 1.12\).
  2. \(450 \times 1.12 = 504\)

Answer: \(504\)

Question 3 Core calculator · easy · 2 marks

Increase 250 by \(12\%\).

Show the answer and mark scheme
  • M1 250 × 1.12 or 250 + 30
  • A1 280

Answer: \(280\)

Question 4 Core non-calculator · medium

Write \(48\) as a percentage of \(160\).

Show the worked answer
  1. \(\frac{48}{160} = \frac{3}{10}\)
  2. \(\frac{3}{10} = 30\%\)

Answer: \(30\%\)

Question 5 Core calculator · medium

The price of a bike falls from $\(250\) to $\(215\).
Work out the percentage decrease.

Show the worked answer
  1. Decrease \(= 250 - 215 = 35\).
  2. Percentage decrease \(= \frac{35}{250} \times 100 = 14\%\).

Answer: \(14\%\)

Question 6 Core calculator · medium

Ravi invests $\(1500\) at \(4\%\) per year simple interest.
How much interest does he earn in \(3\) years?

Show the worked answer
  1. Interest each year: \(1500 \times 0.04 = 60\).
  2. For \(3\) years: \(60 \times 3 = 180\).

Answer: $\(180\)

Question 7 Core non-calculator · medium · 2 marks

A jacket costs \(\$80\). In a sale the price is reduced by \(35\%\). Work out the sale price.

Show the answer and mark scheme
  • M1 0.35 × 80 = 28 or 0.65 × 80
  • A1 52

Answer: \(\$52\)

Question 8 Core calculator · medium · 2 marks

Sara invests \(\$2400\) at \(3.5\%\) per year simple interest. Work out the total interest after 4 years.

Show the answer and mark scheme
  • M1 2400 × 0.035 × 4
  • A1 336

Answer: \(\$336\)

Question 9 Core calculator · hard

Lina invests $\(2000\) at \(3\%\) per year compound interest.
Work out the value of her investment after \(4\) years. Give your answer to the nearest cent.

Show the worked answer
  1. Multiplier for one year: \(1.03\).
  2. After \(4\) years: \(2000 \times 1.03^4 = 2251.0162\ldots\)

Answer: $\(2251.02\)

Percentages questions: Extended

Extended content, for Papers 2 and 4. Core students can skip these.

Question 10 Extended calculator · medium

After a \(15\%\) increase, the price of a jacket is $\(92\).
Work out the price before the increase.

Show the worked answer
  1. $\(92\) is \(115\%\) of the original price.
  2. Original \(= 92 \div 1.15 = 80\).

Answer: $\(80\)

Examiner Insights: common mistakes in IGCSE Maths 0580, with fixes (our analysis of public sources) →

Every question on this page is original, written for IGCSE Math Revision rather than taken from Cambridge papers, and each answer was re-solved independently before publishing. Questions with a mark scheme come from our 0580 practice bank (M method, A accuracy, B independent marks).

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Questions students ask

Which Cambridge 0580 papers can test percentages?

Percentages is on both tiers (syllabus 1.13), so it can come up on Core Papers 1 (non-calculator) and 3 (calculator), and Extended Papers 2 (non-calculator) and 4 (calculator). Extended candidates also need the Extended parts listed on this page. Half of each tier's marks are on a non-calculator paper, so practise the non-calculator questions without one.

Are these Cambridge past-paper questions?

No. Every question here was written for IGCSE Math Revision in the style of the 0580 papers, and each answer was checked independently before publishing. For real exam practice, use the Cambridge past papers linked from our 0580 past papers page.

Where can I practise more percentages questions?

In the 0580 practice for topic 1 (Number), where every question is marked and tagged Core or Extended. Practice is part of the IGCSE plan, with a free preview; the questions on this page are free.

More number questions