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Proportion practice questions with answers

Foundation and Higher · Grade 3

A second set of proportion 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.

More questions

Question 1 Easy

6 decorators take 4 days. How many days do 3 decorators take?

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Answer: 8

  1. Half the decorators take twice as long.
  2. Multiply the days by 6, then divide by 3.
  • Method (1): Half the decorators take twice as long.
  • Accuracy (1): Answer 8

Question 2 Easy

A smaller recipe uses 80 g and the larger recipe uses 240 g. What is the scale factor from the smaller recipe to the larger?

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Answer: 3

  1. Divide the larger amount by the smaller amount.
  2. The scale factor is how many times bigger it is.
  • Method (1): Divide the larger amount by the smaller amount.
  • Accuracy (1): Answer 3

Question 3 Medium

The flour in a recipe is increased in the ratio 2:5. There were 80 g. How many grams are there now?

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Answer: 200

  1. The ratio 2:5 means multiply by 5/2.
  2. 80 × 5/2.
  • Method (1): The ratio 2:5 means multiply by 5/2.
  • Accuracy (1): Answer 200

Question 4 Medium

Flour and sugar are mixed in the ratio 5:2. The total mass is 140 g. How many grams are in the larger share?

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Answer: 100

  1. There are 7 parts altogether.
  2. The larger share is 5 of those parts.
  • Method (1): There are 7 parts altogether.
  • Accuracy (1): Answer 100

Question 5 Hard

A recipe keeps flour and sugar in the ratio 5:2. You use 250 g of flour. How many grams of sugar keep that ratio?

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Answer: 100

  1. Sugar is 2 parts when flour is 5 parts.
  2. Multiply the flour by 2/5.
  • Method (1): Sugar is 2 parts when flour is 5 parts.
  • Accuracy (1): Answer 100

Question 6 Hard

Working alone, one cook finishes a batch in 6 hours and another finishes it in 3 hours. How many hours do they take working together?

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Answer: 2

  1. Add their rates, one batch divided by each time.
  2. The combined time is 1 divided by that total rate.
  • Method (1): Add their rates, one batch divided by each time.
  • Accuracy (1): Answer 2

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 12 marks

Pack A is 500 g for £4 and pack B is 1000 g for £6. Which pack is the better value? Answer A or B.

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Answer: B

  1. Compare the price of the same mass.
  2. The lower price per gram is the better value.
  • Method (1): Compare the price of the same mass.
  • Accuracy (1): Answer B

Quick checks

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

Check 1

4 cakes need 200 g of flour. How many grams do 22 cakes need?

  1. 1100 g
  2. 218 g
  3. 200 g
Show answer

1100 g The result is 1100 g.

Check 2

4 cakes need 200 g of flour. How many grams do 23 cakes need?

  1. 1150 g
  2. 219 g
  3. 200 g
Show answer

1150 g The result is 1150 g.

Check 3

4 cakes need 200 g of flour. How many grams do 24 cakes need?

  1. 1200 g
  2. 220 g
  3. 200 g
Show answer

1200 g The result is 1200 g.

Check 4

4 cakes need 200 g of flour. How many grams do 25 cakes need?

  1. 1250 g
  2. 221 g
  3. 200 g
Show answer

1250 g The result is 1250 g.

Check 5

4 cakes need 200 g of flour. How many grams do 26 cakes need?

  1. 1300 g
  2. 222 g
  3. 200 g
Show answer

1300 g The result is 1300 g.

Check 6

4 cakes need 200 g of flour. How many grams do 27 cakes need?

  1. 1350 g
  2. 223 g
  3. 200 g
Show answer

1350 g The result is 1350 g.

Check 7

4 cakes need 200 g of flour. How many grams do 28 cakes need?

  1. 1400 g
  2. 224 g
  3. 200 g
Show answer

1400 g The result is 1400 g.

Check 8

4 cakes need 200 g of flour. How many grams do 29 cakes need?

  1. 1450 g
  2. 225 g
  3. 200 g
Show answer

1450 g The result is 1450 g.

Check 9

4 cakes need 200 g of flour. How many grams do 30 cakes need?

  1. 1500 g
  2. 226 g
  3. 200 g
Show answer

1500 g The result is 1500 g.

Check 10

4 cakes need 200 g of flour. How many grams do 31 cakes need?

  1. 1550 g
  2. 227 g
  3. 200 g
Show answer

1550 g The result is 1550 g.

Check 11

4 cakes need 200 g of flour. How many grams do 32 cakes need?

  1. 1600 g
  2. 228 g
  3. 200 g
Show answer

1600 g The result is 1600 g.

Check 12

4 cakes need 200 g of flour. How many grams do 33 cakes need?

  1. 1650 g
  2. 229 g
  3. 200 g
Show answer

1650 g The result is 1650 g.

Check 13

4 cakes need 200 g of flour. How many grams do 34 cakes need?

  1. 1700 g
  2. 230 g
  3. 200 g
Show answer

1700 g The result is 1700 g.

Check 14

4 cakes need 200 g of flour. How many grams do 35 cakes need?

  1. 1750 g
  2. 231 g
  3. 200 g
Show answer

1750 g The result is 1750 g.

Check 15

4 cakes need 200 g of flour. How many grams do 36 cakes need?

  1. 1800 g
  2. 232 g
  3. 200 g
Show answer

1800 g The result is 1800 g.

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