National 4 Applications of Mathematics
Proportion and inverse proportion Answer Sheet
Use this sheet to check final answers. Pupils should still show working where needed.
- 1
A car travels further when it drives for more hours at the same speed. Which type of proportion is this?
Answer: Direct proportion
- 2
5 workers take 12 hours to complete a job. How long would 10 workers take at the same rate?
Answer: 6 hours
- 3
A car travels 90 miles in 2 hours. How far does it travel in 5 hours at the same speed?
Answer: 225 miles
- 4
In this situation, adding more workers means the same job takes less time. Is this direct or inverse proportion?
Answer: Inverse proportion
- 5
3 taps fill a tank in 10 minutes. How long would 6 taps take at the same rate?
Answer: 5 minutes
- 6
A recipe uses 240 g of flour for 3 people. How much flour is needed for 9 people?
Answer: 720 g
- 7
4 machines take 24 minutes to fill bottles. How long would 8 machines take at the same rate?
Answer: 12 minutes
- 8
6 people share a cost of £72.00. How much does each person pay if 12 people share the same cost?
Answer: £6.00
- 9
5 people share a fixed cost equally and pay £6.00 each. How much would each person pay if 8 people shared the same cost?
Answer: £3.75
- 10
A recipe uses 200 g of rice for 4 people. How much rice is needed for 12 people?
Answer: 600 g