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Repeated percentage change practice questions with answers

Foundation and Higher · Grade 6 · Calculator

A second set of repeated percentage change questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

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Question 1 Easy

What is the overall multiplier for a 10% increase followed by a 20% increase?

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Answer: 1.32

  1. The multipliers are 1.1 and 1.2.
  2. 1.1 × 1.2 = 1.32.
  • Method (1): The multipliers are 1.1 and 1.2.
  • Accuracy (1): Answer 1.32

Question 2 Easy

£1000 increases by 10% each year for three years. What is the final amount?

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Answer: 1331

  1. The multiplier is 1.1, used three times.
  2. 1000 × 1.1 × 1.1 × 1.1 = 1331.
  • Method (1): The multiplier is 1.1, used three times.
  • Accuracy (1): Answer 1331

Question 3 Medium

After a 20% decrease the price is £80. What was the original price?

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Answer: 100

  1. Divide by 0.8.
  2. The original price is 100.
  • Method (1): Divide by 0.8.
  • Accuracy (1): Answer 100

Question 4 Medium

After two successive 20% decreases the price is £128. What was the original price?

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Answer: 200

  1. Each successive decrease multiplies by 0.8.
  2. 128 ÷ 0.64 = 200.
  • Method (1): Each successive decrease multiplies by 0.8.
  • Accuracy (1): Answer 200

Question 5 Hard

£200 increases by 10% and then decreases by 10%. What is the final amount?

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Answer: 198

  1. 200 × 1.1 = 220.
  2. 220 × 0.9 = 198.
  • Method (1): 200 × 1.1 = 220.
  • Accuracy (1): Answer 198

Question 6 Hard

What is the overall multiplier for two 10% increases?

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Answer: 1.21

  1. Each increase multiplies by 1.1.
  2. 1.1 × 1.1 = 1.21.
  • Method (1): Each increase multiplies by 1.1.
  • Accuracy (1): Answer 1.21

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 13 marks

After a 10% decrease, what percentage of the original price is left?

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Answer: 90

  1. A 10% decrease leaves 90%.
  2. The percentage left is 90.
  • Method (1): A 10% decrease leaves 90%.
  • Method (1): The percentage left is 90.
  • Accuracy (1): Answer 90

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

What multiplier is a 10% increase?

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100% + 10% = 1.1. 100% + 10% = 1.1.

Check 2

What multiplier is a 20% increase?

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100% + 20% = 1.2. 100% + 20% = 1.2.

Check 3

What multiplier is a 10% decrease?

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100% - 10% = 0.9. 100% - 10% = 0.9.

Check 4

What multiplier is a 20% decrease?

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100% - 20% = 0.8. 100% - 20% = 0.8.

Check 5

£200 increases by 10% each year for 2 years. It ends at

  1. 2
  2. 242
  3. 10
Show answer

242 200 × 1.1 × 1.1 = 242.

Check 6

£1000 increases by 10% each year for 2 years. It ends at

  1. 1210
  2. 2420
  3. 991
Show answer

1210 1000 × 1.1 × 1.1 = 1210.

Check 7

£500 increases by 20% each year for 2 years. It ends at

  1. 500
  2. 520
  3. 720
Show answer

720 500 × 1.2 × 1.2 = 720.

Check 8

£200 decreases by 10% each year for 2 years. It ends at

  1. 161
  2. 162
  3. 10
Show answer

162 200 × 0.9 × 0.9 = 162.

Check 9

£400 decreases by 10% each year for 2 years. It ends at

  1. 391
  2. 324
  3. 10
Show answer

324 400 × 0.9 × 0.9 = 324.

Check 10

£500 decreases by 20% each year for 2 years. It ends at

  1. 481
  2. 320
  3. 319
Show answer

320 500 × 0.8 × 0.8 = 320.

Check 11

£1000 increases by 10% each year for 3 years. It ends at

  1. 1000
  2. 1331
  3. 2662
Show answer

1331 1000 × 1.1^3 = 1331.

Check 12

£2000 increases by 10% each year for 3 years. It ends at

  1. 2662
  2. 10
  3. 1991
Show answer

2662 2000 × 1.1^3 = 2662.

Check 13

Why is two rises of 10% on £200 not 240?

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The second 10% applies to 220, not to 200. The second 10% applies to 220, not to 200.

Check 14

What is the multiplier for a 10% increase, written on its own?

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1.1, not 0.1. 1.1, not 0.1.

Check 15

How many times do you apply the multiplier for 3 years?

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Apply the multiplier three times. Apply the multiplier three times.

Keep going with Repeated percentage change

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