Math 9 · Unit 11: Ratio and proportion · Cambridge Lower Secondary Maths Stage 9

11.2 Direct and inverse proportion

34 questions · e.g. 6 hours at 80 km/h; how long at 120 km/h?

Practice

Questions

1. Sam types 40 words in one minute. How many words does he type in 2 minutes, 3 minutes and 4 minutes?
- 80, 160 and 240 words
- 42, 43 and 44 words
- 80, 120 and 160 words
- 40, 80 and 120 words
Check
2. Are the number of words Sam types and the time he spends typing in direct or inverse proportion?
- direct proportion
- both
- neither
- inverse proportion
Check
3. One bag of peanuts costs $2.20. What is the total cost of 2 bags, 3 bags and 4 bags?
- $2.20, $4.40 and $6.60
- $4.40, $8.80 and $13.20
- $4.20, $5.20 and $6.20
- $4.40, $6.60 and $8.80
Check
4. One bag of peanuts costs $2.20. Are the number of bags of peanuts and the total cost in direct or inverse proportion?
- both
- direct proportion
- inverse proportion
- neither
Check
5. It takes 2 people 6 days to build a wall. When there are more people, does the job take more or less time?
- twice as long
- less time
- the same time
- more time
Check
6. It takes 2 people 6 days to build a wall. When there are fewer people, does the job take more or less time?
- more time
- half the time
- the same time
- less time
Check
7. It takes 2 people 6 days to build a wall. How long does it take 1 person, and how long do 4 people take?
- 8 days (1 person) and 4 days (4 people)
- 12 days (1 person) and 3 days (4 people)
- 6 days (1 person) and 6 days (4 people)
- 3 days (1 person) and 12 days (4 people)
Check
8. Are the number of people and the time to build a wall in direct or inverse proportion?
- inverse proportion
- direct proportion
- both
- neither
Check
9. Jess runs from her house to the bus stop in 60 seconds. When she runs faster, does it take her more or less than 60 seconds?
- 120 seconds
- exactly 60 seconds
- more than 60 seconds
- less than 60 seconds
Check
10. Jess runs from her house to the bus stop in 60 seconds. When she runs slower, does it take her more or less than 60 seconds?
- 30 seconds
- exactly 60 seconds
- more than 60 seconds
- less than 60 seconds
Check
11. Jess runs from her house to the bus stop in 60 seconds. How long does it take her if she runs twice as fast, and how long if she runs half as fast?
- 30 seconds (twice as fast) and 15 seconds (half as fast)
- 120 seconds (twice as fast) and 30 seconds (half as fast)
- 30 seconds (twice as fast) and 120 seconds (half as fast)
- 60 seconds (twice as fast) and 60 seconds (half as fast)
Check
12. Jess runs from her house to the bus stop in 60 seconds. Are the speed she runs and the time it takes her in direct or inverse proportion?
- both
- neither
- direct proportion
- inverse proportion
Check
13. It takes 4 people 7 hours to build a shed. How long does it take 2 people to build the shed?
- 7 hours
- 14 hours
- 3.5 hours
- 9 hours
Check
14. It takes 4 people 7 hours to build a shed. How long does it take 8 people?
- 11 hours
- 14 hours
- 3.5 hours
- 7 hours
Check
15. It takes 4 people 7 hours to build a shed. How many people are needed to build it in 1 hour?
- 28
- 4
- 11
- 7
Check
16. A recipe for 25 biscuits uses 50 g of butter. How much butter is needed for 50 biscuits?
- 75 g
- 100 g
- 25 g
- 50 g
Check
17. A recipe for 25 biscuits uses 75 g of flour. How much flour is needed for 75 biscuits?
- 150 g
- 75 g
- 100 g
- 225 g
Check
18. A recipe for 25 biscuits uses 100 mL of honey. How much honey is needed for 100 biscuits?
- 400 mL
- 100 mL
- 125 mL
- 200 mL
Check
19. It takes Hank 6 hours to drive a certain distance at an average speed of 80 km/h. How long does it take him to drive the same distance at an average speed of 160 km/h, 40 km/h and 120 km/h?
- 3 hours, 12 hours and 9 hours
- 12 hours, 3 hours and 9 hours
- 3 hours, 12 hours and 4 hours
- 4 hours, 8 hours and 3 hours
Check
20. It takes Hank 6 hours to drive a certain distance at an average speed of 80 km/h. It takes him 8 hours to drive the same distance. What is his average speed?
- 64 km/h
- 40 km/h
- 100 km/h
- 60 km/h
Check