MathsFreePrintable
Ratios and Scaling
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Ratios and Scaling
📊 Part 1: Understanding Ratios
1. A recipe uses flour and sugar in the ratio 3:2. If you use 6 cups of flour, how much sugar do you need?
3 cups
4 cups
6 cups
9 cups
2. Which ratios are equivalent to 2:5? (Tick all that apply)
4:10
6:15
8:15
10:25
3. Two friends share $120 in the ratio 1:3. How much does each person get?
Person 1: $________ Person 2: $________
4. A paint mixture uses blue and white paint in the ratio 5:7. If I have 15 litres of blue paint, how many litres of white paint do I need?
White paint needed: ________ litres
🔢 Part 2: Scaling Ratios
5. Complete this table by scaling the ratio 3:4:
| First number | Second number |
|---|---|
| 3 | 4 |
| 6 | ____ |
| ____ | 12 |
| 15 | ____ |
6. A school has students and teachers in the ratio 25:2. If there are 150 students, how many teachers are there?
Number of teachers: ________
7. Explain in your own words what it means to "scale up" a ratio:
🧠 Part 3: Problem Solving
8. Challenge Problem: Three friends - Aroha, Ben, and Chloe - share 240 stickers in the ratio 2:3:7. How many stickers does each person get?
Aroha: ________ stickers
Ben: ________ stickers
Chloe: ________ stickers
9. Create your own ratio problem using a New Zealand context (e.g., sharing kiwifruit, distributing sports equipment, or mixing colours for a tapa design):
10. Reflection: What strategy helped you most when solving ratio problems today?
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