Mastering Ratio: Simplifying & Sharing
Mathematics
GCSE Higher
11 questions
~22 mins
0 views0 downloads
About This Worksheet
A worksheet covering Ratio, Proportion, and Rates of Change for GCSE Higher students to develop procedural skills and reasoning.
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Mastering Ratio: Simplifying & Sharing
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the ratio 18:24.
[2 marks]2.
Express the ratio 50:75 in its simplest form.
[2 marks]3.
Divide 120 into two parts in the ratio 3:2. What are the two parts?
[3 marks]4.
A recipe calls for flour and sugar in a ratio of 4:1. If 300g of flour is used, how much sugar is needed?
[3 marks]5.
A map scale shows 1cm representing 5km. How many kilometres does 7.5cm on the map represent?
[2 marks]6.
If the ratio of boys to girls in a class is 3:2 and there are 15 boys, how many girls are there?
[3 marks]7.
A car travels 150 miles in 3 hours. What is its rate of travel in miles per hour?
[2 marks]8.
Two quantities are in the ratio 7:5. If the first quantity is 84, what is the second?
[2 marks]9.
A mixture contains milk and water in the ratio 3:2. If there are 15 litres of milk, how much water is in the mixture?
[3 marks]10.
A boat takes 4 hours to travel downstream and 6 hours to return upstream. If the speed of the stream is constant, what is the speed of the boat in still water?
[4 marks]11.
Challenge: A recipe for a cake requires sugar and flour in the ratio 2:5. If the baker has 200g of sugar, how much flour does she need? If she wants to make a larger cake using 300g of sugar, how much flour should she use?
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet