Ratio, Proportion & Compound Measures — Year 9 Practice Questions
Work through these Year 9 practice questions on ratio, proportion and compound measures. Try each one before revealing the worked solution.
Questions
A car travels 150 km in 3 hours. Find its average speed.
A runner moves at 8 km/h for 2 hours. How far do they travel?
An object has mass 60 g and volume 20 cm³. Find its density.
A block has density 2 g/cm³ and volume 15 cm³. Find its mass.
A train travels 240 km at 80 km/h. Find the time taken.
Share $84 in the ratio 2 : 5.
A cyclist covers 30 km in 1 hour 30 minutes. Find the average speed in km/h.
Gold has a density of 19 g/cm³. Find the mass of a bar with volume 10 cm³.
Answers & Worked Solutions
Question 1 Solution
Step 1: speed = distance ÷ time = 150 ÷ 3.
Step 2: = 50 km/h.
Answer: 50 km/h
Question 2 Solution
Step 1: distance = speed × time = 8 × 2.
Step 2: = 16 km.
Answer: 16 km
Question 3 Solution
Step 1: density = mass ÷ volume = 60 ÷ 20.
Step 2: = 3 g/cm³.
Answer: 3 g/cm³
Question 4 Solution
Step 1: mass = density × volume = 2 × 15.
Step 2: = 30 g.
Answer: 30 g
Question 5 Solution
Step 1: time = distance ÷ speed = 240 ÷ 80.
Step 2: = 3 hours.
Answer: 3 hours
Question 6 Solution
Step 1: Total parts = 7; one part = 84 ÷ 7 = $12.
Step 2: 2 × 12 = $24 and 5 × 12 = $60.
Answer: $24 and $60
Question 7 Solution
Step 1: 1 hour 30 minutes = 1.5 hours.
Step 2: speed = 30 ÷ 1.5 = 20 km/h.
Answer: 20 km/h
Question 8 Solution
Step 1: mass = density × volume = 19 × 10.
Step 2: = 190 g.
Answer: 190 g
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