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Ratios and Scaling
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Ratios and Scaling
Show your working where space is provided. Give units with your answers.
Understanding Ratios
1.At a station kiosk, the ratio of cheese scones to plain scones is 4:3. If the kiosk has 20 cheese scones, how many plain scones should it have to keep the same ratio?
- 12
- 15
- 16
- 24
2.Which ratios are equivalent to 3:8? Select all that apply.
- 6:16
- 9:24
- 12:30
- 15:40
3.Wiremu and Mei share $168 in the ratio 3:5. How much money does each person receive?
4.A station mural uses red and black paint in the ratio 2:7. If 18 litres of red paint are used, how many litres of black paint are needed?
Scaling Ratios
First quantity
Second quantity
5
6
10
_____
_____
18
25
_____
5.A train has 180 passenger seats and 12 staff members on board. If the number of seats and staff members are kept in the same ratio on a larger train with 300 seats, how many staff members should be on board?
6.In your own words, explain what happens to both parts of a ratio when the ratio is scaled up by a factor of 4.
Problem Solving
7.Zoe, Wiremu and Mei sort 360 lost-property tags in the ratio 2:3:4. How many tags does each person sort?
8.A station café makes 84 fruit cups using kiwifruit and apple in the ratio 3:4. How many kiwifruit are needed if each fruit cup uses one piece of fruit?
2 printable pages
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