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Solving Proportion Problems
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Name:Date:
Solving Proportion Problems
Use equivalent ratios to solve each problem. Show your working for questions that need a calculation.
Recognising and Using Proportions
1.Which pair of ratios is equivalent?
- 3:5 and 9:15
- 2:7 and 6:14
- 4:9 and 8:27
- 5:3 and 10:9
2.On a space mission, 5 identical food packs contain 20 snack bars. How many snack bars are in 8 packs?
- 28
- 30
- 32
- 40
3.A model rocket uses 3 cm to represent 12 m. What distance does 7 cm represent at the same scale?
4.For every 4 astronauts on a training team, there are 6 engineers. If a team has 10 astronauts, how many engineers are needed to keep the same ratio?
Fuel canisters
2
6
10
Hours of power
7
?
?
5.Use the fuel canister table to find the number of hours of power provided by 10 canisters.
Calculate with Equivalent Ratios
6.Find x: 4/7 = x/21.
7.A pack of 8 batteries costs £3.60. At the same price per battery, what will 14 batteries cost?
8.A spacecraft travels 240 km in 4 minutes at a steady speed. How far does it travel in 7 minutes?
Proportion Problem Solving
9.Sophie mixes 2 parts fruit concentrate with 7 parts water to make a drink. If she uses 300 ml of concentrate, how much water should she add?
10.A photograph is 8 cm wide and 12 cm long. It is enlarged proportionally until its length is 21 cm. What is its new width?
11.Arjun says that 6:10 and 9:15 are in proportion because both ratios can be simplified. Is he correct? Explain how you know.
3 printable pages
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