Mastering Ratio: Simplifying & Sharing
Mathematics
Year 9
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A worksheet covering Ratio: Simplifying & Sharing for Year 9 students.
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Mastering Ratio: Simplifying & Sharing
Subject: MathematicsGrade: Year 9
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Date:
Untitled Worksheet
Grade Year 9
A
Introduction
Review the key concepts of ratios, including simplifying ratios and sharing quantities in the ratio form.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the ratio 18:24 to its simplest form.
[1 mark]2.
Express the ratio 45 to 60 as a simplified ratio.
[1 mark]3.
If the ratio of cats to dogs is 3:5, how many cats are there if there are 20 dogs?
[2 marks]4.
A recipe calls for sugar and flour in the ratio 2:7. If you use 14 grams of flour, how much sugar do you need?
[2 marks]5.
Simplify the ratio 81:108.
[1 mark]6.
A map has a scale of 1:50,000. How many centimeters on the map represent 10 km in real distance?
[2 marks]7.
The ratio of boys to girls in a class is 3:4. If there are 28 girls, how many boys are there?
[2 marks]8.
Two quantities are in the ratio 5:8. If the larger quantity is 64, what is the smaller quantity?
[2 marks]9.
A car consumes fuel at a rate of 12 km per litre. How much fuel is needed to travel 180 km?
[2 marks]10.
Challenge: A mixture contains two liquids in the ratio 3:2. If the total volume of the mixture is 50 litres, how much of each liquid is present?
[3 marks]11.
Real-world Application: A map shows a park that is 8 cm long. If the actual length of the park is 2.4 km, what is the scale of the map?
[3 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet