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Solving Proportion Problems
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Solving Proportion Problems
📚 Part 1: Understanding Proportions
1. Which of these shows two ratios that are in proportion?
2:3 and 4:6
1:4 and 3:8
5:2 and 10:6
3:7 and 6:12
2. If 4 pens cost £6, how much do 10 pens cost?
£12
£15
£18
£20
3. A map scale shows 1cm : 5km. What real distance does 7cm on the map represent?
12km
30km
35km
42km
4. In a recipe, 3 cups of flour are used with 2 eggs. How many eggs are needed for 12 cups of flour?
6 eggs
8 eggs
10 eggs
12 eggs
✏️ Part 2: Cross-Multiplication Practice
5. Solve using cross-multiplication: 3/5 = x/15
Show your working:
x = _______
6. If 6 apples cost £2.40, how much do 9 apples cost?
Set up your proportion: _______ = _______
Answer: £_______
7. A car travels 180 miles using 12 litres of petrol. How many litres are needed to travel 270 miles?
Answer: _______ litres
🧠 Part 3: Problem Solving
8. Sarah is making orange squash. She mixes 1 part orange juice with 4 parts water. If she uses 250ml of orange juice, how much water does she need?
9. A photograph measuring 6cm by 9cm is enlarged so that the longer side becomes 15cm. What is the length of the shorter side in the enlarged photograph?
10. Explain in your own words what it means for two ratios to be "in proportion".
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