Give a reason for your answer. [1 mark]
Worked Solution & Mark Scheme (4 marks)
total = 300 + 120 = 420 ml A1
Home > Worksheets > GCSE questions by topic > 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.
| Resource | Questions | Answers |
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Practice worksheet & worked solutions
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Graded exam questions & solutions
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Qs | Ans |
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GCSE 9–1 practice booklet & solutions
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Qs | Ans |
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Practice Questions & answers
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Qs | Ans |
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Textbook Exercise & answers
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Qs | Ans |
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Topic worksheet & worked solutions
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Qs | Ans |
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Exam-style booklet & solutions
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Qs | Ans |
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GCSE Maths Takeaway exam questions
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Qs | Ans |
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Practice grid / worksheet & answers
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Qs | Ans |
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Building Blocks skill sheet & answers
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Qs | Ans |
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1st Class Maths (Edxl)
Edexcel exam questions & solutions
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Qs | Ans |
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1st Class Maths (AQA)
AQA exam questions & solutions
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Qs | Ans |
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Practice questions & answers
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Qs | Ans |
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Practice questions & answers
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Qs | Ans |
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GCSE topic booklet & answers
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Qs | Ans |
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PMT (Edxl)
Edexcel GCSE topic questions & solutions
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Qs | Ans |
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PMT (AQA)
AQA GCSE topic questions & solutions
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Qs | Ans |
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PMT (IGCSE)
Edexcel IGCSE topic questions & solutions
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Qs | Ans |
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Online topic notes & examples
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Self-marking online worksheet
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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.
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: