Ratio & Proportion — Year 8 Practice Questions
Work through these Year 8 practice questions on ratio and proportion. Try each one before revealing the worked solution.
Questions
Simplify the ratio 12 : 18.
Simplify the ratio 1 m : 25 cm.
Share $40 in the ratio 3 : 2.
Share 60 sweets in the ratio 1 : 2 : 3.
5 pens cost $2. Find the cost of 8 pens.
A recipe for 4 people needs 200 g of flour. How much is needed for 6 people?
It takes 3 workers 8 hours to build a wall. How long would 6 workers take, working at the same rate?
A map has a scale of 1 : 50 000. Two towns are 4 cm apart on the map. Find the real distance in km.
Answers & Worked Solutions
Question 1 Solution
Step 1: Divide both parts by the highest common factor 6.
Step 2: 12 ÷ 6 : 18 ÷ 6 = 2 : 3.
Answer: 2 : 3
Question 2 Solution
Step 1: Convert to the same units: 100 cm : 25 cm.
Step 2: Divide by 25: 4 : 1.
Answer: 4 : 1
Question 3 Solution
Step 1: There are 3 + 2 = 5 parts; one part = 40 ÷ 5 = $8.
Step 2: 3 × 8 = $24 and 2 × 8 = $16.
Answer: $24 and $16
Question 4 Solution
Step 1: Total parts = 1 + 2 + 3 = 6; one part = 60 ÷ 6 = 10.
Step 2: Shares are 10, 20 and 30.
Answer: 10, 20 and 30
Question 5 Solution
Step 1: One pen costs 2 ÷ 5 = $0.40.
Step 2: 8 × 0.40 = $3.20.
Answer: $3.20
Question 6 Solution
Step 1: For 1 person: 200 ÷ 4 = 50 g.
Step 2: For 6 people: 6 × 50 = 300 g.
Answer: 300 g
Question 7 Solution
Step 1: Total work = 3 × 8 = 24 worker-hours.
Step 2: With 6 workers: 24 ÷ 6 = 4 hours.
Answer: 4 hours
Question 8 Solution
Step 1: Real distance = 4 × 50 000 = 200 000 cm.
Step 2: 200 000 cm = 2000 m = 2 km.
Answer: 2 km
Build strong foundations in Ratio & Proportion
A free trial class with Teacher Rig helps your Year 8 child master Ratio & Proportion now — so IGCSE Maths feels familiar, not frightening, later.
Heading toward IGCSE? See how Ratio & Proportion develops in IGCSE Number (Cambridge 0580) →