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Equivalent Ratios Worksheet
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Name:Date:
Equivalent Ratios Worksheet
Complete each question. Show your working for problem-solving questions.
Scaling Ratios
1.Multiply both parts of 4:7 by 3 to make an equivalent ratio.
2.Simplify 30:45 by dividing both parts by 15.
3.Which two ratios are equivalent to 3:8?
- 6:16
- 9:20
- 12:32
- 15:41
4.Complete the table so every row has a ratio equivalent to 5:4.
Green beads
Yellow beads
5
4
10
_____
_____
12
20
_____
Ratios in Context
5.A smoothie uses 2 scoops of yoghurt for every 5 scoops of fruit. How many scoops of fruit are needed for 8 scoops of yoghurt?
6.The ratio of shuttle buses to students is 1:18. If 7 buses are used, how many students can travel at that ratio?
7.A purple dye is mixed from blue and red dye in the ratio 4:3. Complete the table for equivalent mixtures.
Blue dye (mL)
Red dye (mL)
Total (mL)
4
3
7
8
_____
_____
_____
12
_____
Explain and Extend
8.Explain why 8:12 and 2:3 name the same ratio. Use the word “scale” in your explanation.
9.Write three different ratios equivalent to 6:11. Show how you formed them.
10.True or false: Adding 4 to both parts of 2:5 always gives an equivalent ratio. Explain your choice.
3 printable pages
Page 1
Page 2
Page 3
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