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Exploring Proportions Worksheet
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Exploring Proportions Worksheet
Understanding Proportions
1. A proportion is an equation that says two ratios are equal. Which of these shows a proportion?
2:3 = 4:61:2 = 3:55:10 = 1:33:4 = 6:8
2. In a bag of lollies, there are 3 red lollies for every 7 blue lollies. If there are 12 red lollies, how many blue lollies are there?
21 blue lollies28 blue lollies15 blue lollies24 blue lollies
3. Sarah and Tom are sharing 100 stickers. For every 1 sticker Sarah gets, Tom gets 3 stickers. How many stickers does each person get?
Sarah gets _______ stickers and Tom gets _______ stickers.
4. Which of these everyday situations involve proportions? (Tick all that apply)
Doubling a recipe for biscuitsAdding your age to your friend's ageMixing paint colours in the same ratioSharing pizza equally among friends
5. A sports team has 5 forwards for every 3 defenders. If the team has 15 forwards, how many defenders do they have? Show your working.
6. In a fruit bowl, the ratio of apples to oranges is 4:5. If there are 20 apples, how many oranges are there?
Number of oranges: _____________
7. A recipe for 4 people uses 2 cups of flour. How much flour is needed for 10 people? Explain your thinking.
8. Look at this proportion: 6:8 = 15:?
The missing number is: _____________
Explain how you found your answer: ________________________________
9. Describe one example of where you see proportions in your everyday life. Explain why it is a proportion.
Extension Challenge: A school has a ratio of 2 teachers for every 25 students. If the school has 300 students, how many teachers should they have? If they currently have 20 teachers, are they above or below the ideal ratio?
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