Home   >  Worksheets   >  GCSE questions by topic   >  Ratio

Ratio

Free Printable Ratio PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 3)

Download free ratio worksheets (PDF), GCSE maths past paper questions and worked solutions for Ratio (3E). This is a Grade 3 ratio & proportion topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Maths4Everyone, Corbett Maths, Metatutor, Maths DIY, Maths Takeaway, Dr Austin, Dr Frost (B. Blocks), 1st Class Maths, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our ratio revision notes and worked examples with diagrams, try real GCSE past paper ratio questions with step-by-step solutions, or download a PDF of all ratio worksheet links.

Free Ratio PDF Worksheets & Answers

Grade 3 • Topic 3E
Resource Questions Answers
Practice worksheet & worked solutions
Qs Ans
Graded exam questions & solutions
Qs Ans
GCSE 9–1 practice booklet & solutions
Qs Ans
Practice Questions & answers
Qs Ans
Textbook Exercise & answers
Qs Ans
Topic worksheet & worked solutions
Qs Ans
Exam-style booklet & solutions
Qs Ans
GCSE Maths Takeaway exam questions
Qs Ans
Practice grid / worksheet & answers
Qs Ans
Building Blocks skill sheet & answers
Qs Ans
Edexcel exam questions & solutions
Qs Ans
AQA exam questions & solutions
Qs Ans
Practice questions & answers
Qs Ans
Practice questions & answers
Qs Ans
GCSE topic booklet & answers
Qs Ans
PMT (Edxl)
Edexcel GCSE topic questions & solutions
Qs Ans
PMT (AQA)
AQA GCSE topic questions & solutions
Qs Ans
PMT (IGCSE)
Edexcel IGCSE topic questions & solutions
Qs Ans
Online topic notes & examples
Page
Self-marking online worksheet
Page
GCSE Maths Grade 3 Revision Notes & Method

Guide to Ratio: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

Ratio questions come in three main types: given the total, given one part, or given the difference between two parts. Always ask yourself what the number in the question represents in parts, then divide to find the value of 1 part.

Once you know what 1 part is worth, multiply by the number of parts required to find each share. Always check your final answer by adding or subtracting the shares to make sure they match the information in the question.

Example 1: Share £140 between Amy and Ben in the ratio 2 : 5.

Amy £20 £20 = £40 Ben £20 £20 £20 £20 £20 = £100 7 equal parts = £140 → 1 box = £20
Total parts = 2 + 5 = 7;  1 part = £140 ÷ 7 = £20
Amy = 2 × £20 = £40;  Ben = 5 × £20 = £100
Answer: £40 and £100

Example 2: Red and blue counters are in the ratio 3 : 7. There are 24 more blue than red counters. Find the total number of counters.

Solution:

Difference in parts = 7 − 3 = 4 parts
1 part = 24 ÷ 4 = 6 counters
Total parts = 3 + 7 = 10 parts
Total counters = 10 × 6 = 60
Answer: 60 counters
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Ratio Questions & Answers

Past Paper Example 1 GCSE Nov 2018 1F Q15 4 marks
Shahid is going to use these instructions to make a fizzy drink.
Mix 5 parts of orange juicewith 2 parts of lemonade
(a) If Shahid is correct, what is the greatest amount of fizzy drink he can make? [3 marks]
(b) Does this affect the greatest amount of fizzy drink he can make?
Give a reason for your answer.
[1 mark]
Worked Solution & Mark Scheme (4 marks)
Part (a) Solution:
300 ÷ 5 = 60 ml per part → needs 2 × 60 = 120 ml lemonade M2
total = 300 + 120 = 420 ml A1
Answer (a): 420 ml
Part (b) Solution:
No, 160 ml > 120 ml C1
Answer (b): No, because 300 ml of orange juice only requires 120 ml of lemonade, and he has 160 ml
Past Paper Example 2 AQA Jun 2025 1F Q9 4 marks
Numbered discs are in two boxes.
Box A22439Box B11123449
(a) Work out the ratio
total value of the numbers in **Box A** : total value of the numbers in **Box B**
Give your answer in its simplest form.
[3 marks]
(b) One disc is picked at random from Box A.
Write down the probability that the number on the disc is greater than 6
[1 mark]
Worked Solution & Mark Scheme (4 marks)
Part (a) Solution:
Total Box A = 2 + 2 + 3 + 4 + 9 = 20 M1
Total Box B = 1 + 1 + 1 + 2 + 3 + 4 + 4 + 9 = 25 M1
Ratio = 20 : 25 = 4 : 5 A1
Answer (a): Answer 4 : 5
Part (b) Solution:
Box A has 5 discs
Only the disc with '9' is > 6, so probability = 1/5 B1
Answer (b): Answer 15
Past Paper Example 3 GCSE Nov 2020 2F Q17 5 marks
Scott wants to make orange juice.
He is going to buy boxes of oranges.
There are 24 oranges in each box of oranges.30 oranges make 2 litres of orange juice.
(a) Work out the number of boxes of oranges that Scott needs to buy.
You must show all your working.
[3 marks]
(b) Write down the ratio of the number of apples that Scott buys to the number of bananas that he buys.
Give your ratio in its simplest form.
[2 marks]
Worked Solution & Mark Scheme (5 marks)
Part (a) Solution:
8 ÷ 2 = 4 M1
4 × 30 = 120 oranges needed M1
120 ÷ 24 = 5 boxes A1
Answer (a): 5
Part (b) Solution:
1260 : 280 = 126 : 28 = 9 : 2 (dividing by 140) M1 A1
Answer (b): 9 : 2

← 3D Writing and simplifying ratio

Back to GCSE questions by topic

3F Proportion recipes →