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Proportional Reasoning Problems

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Proportional Reasoning Problems

Recipe and map illustrations

🍰 Part 1: Recipe Problems

1. A chocolate cake recipe serves 8 people and uses 300g of flour. How much flour is needed to serve 12 people?

Answer: _______ grams of flour

2. A pizza recipe for 4 people uses 2 cups of cheese. Which proportion correctly shows how to find the cheese needed for 10 people?

2/4 = x/10

4/2 = 10/x

2/10 = 4/x

4/10 = 2/x

3. A muffin recipe calls for 180ml of milk to make 12 muffins. If you want to make 8 muffins, how much milk do you need?

Answer: _______ ml of milk

🗺️ Part 2: Map Scale Problems

4. On a map, the scale is 1 cm = 2.5 km. If two cities are 6 cm apart on the map, what is the actual distance between them?

Answer: _______ kilometres

5. A walking track measures 4.5 cm on a map with a scale of 1 cm = 800 metres. How long is the actual walking track?

3.2 km

3.6 km

4.0 km

4.5 km

6. The actual distance between your school and the library is 1.2 km. On a map with scale 1 cm = 300 m, how far apart would they appear on the map?

Answer: _______ centimetres

✏️ Part 3: Create Your Own Problem

7. Create a proportional reasoning problem about either cooking or maps. Include the question and show the solution.

Your Problem:

Your Solution:

8. Explain in your own words why proportional reasoning is useful in everyday life. Give at least two examples.

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