Ratio & Proportion — Year 7 Practice Questions
11 marks · Suggested time: 20 minutes
Practise ratio and proportion with these Year 7 questions. Reveal the worked solution once you have tried each one.
Questions
Simplify the ratio 4 : 6.
Share RM40 in the ratio 2 : 3.
3 identical books cost RM18. How much do 5 of these books cost?
A recipe for 4 people uses 200 g of rice. How much rice is needed for 6 people?
In a class the ratio of boys to girls is 3 : 2. There are 15 boys. How many girls are there?
Write the ratio 20 cm to 1 m in its simplest form.
Answers & Worked Solutions
Question 1 Solution
Step 1: The highest common factor of 4 and 6 is 2.
Step 2: Divide both parts by 2: 4 : 6 = 2 : 3.
Answer: 2 : 3
Question 2 Solution
Step 1: There are 2 + 3 = 5 parts, so one part is 40 ÷ 5 = RM8.
Step 2: 2 parts = RM16 and 3 parts = RM24.
Answer: RM16 and RM24
Question 3 Solution
Step 1: One book costs 18 ÷ 3 = RM6.
Step 2: 5 books cost 5 × RM6 = RM30.
Answer: RM30
Question 4 Solution
Step 1: Rice for 1 person = 200 ÷ 4 = 50 g.
Step 2: For 6 people = 6 × 50 = 300 g.
Answer: 300 g
Question 5 Solution
Step 1: 3 parts = 15 boys, so 1 part = 5.
Step 2: Girls = 2 parts = 2 × 5 = 10.
Answer: 10 girls
Question 6 Solution
Step 1: Convert to the same unit: 1 m = 100 cm, so the ratio is 20 : 100.
Step 2: Divide both by 20: 20 : 100 = 1 : 5.
Answer: 1 : 5
Frequently Asked Questions
Why must both quantities be in the same unit?
A ratio only makes sense when the parts are measured in the same unit. Convert first, for example metres to centimetres, before simplifying.
Build strong foundations in Ratio & Proportion
A free trial class with Teacher Rig helps your Year 7 child master Ratio & Proportion now — so IGCSE Maths feels familiar, not frightening, later.
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