Real-World Ratios Worksheet

Name:

Date:

📚 Part 1: Multiple Choice

1. A map uses the scale 1:10,000. Two towns are 5 cm apart on the map. What is the actual distance?

500 m

5 km

50 km

0.05 km

2. A model plane has wingspan ratio 1:15 (model:real). If the model's wingspan is 20 cm, what is the real wingspan?

3 m

30 m

300 cm

3000 cm

3. A recipe uses flour to sugar in the ratio 2:1. If you use 6 cups of flour, how many cups of sugar do you need?

2 cups

3 cups

4 cups

6 cups

4. Check all statements that are true about ratios:

A ratio of 3:4 is equivalent to 6:8.

A ratio must always add to 1 (or 100%).

Scale 1:1,000 means 1 cm = 10 m.

If you double every ingredient in a recipe, the ratios between ingredients stay the same.

✏️ Part 2: Short Answers & Worked Problems

5. A city map uses scale 1:50,000. Two parks are 8 cm apart on the map. What is the actual distance in kilometres? Show your working.

6. A box of fruit is shared between kai organisers and students in the ratio 1:4. If there are 30 pieces of fruit, how many pieces do organisers get and how many do students get? Draw a simple bar model or ratio table to show your thinking.

7. Write an equivalent ratio to 4:5 where the second number is 40. Show how you found it.

8. Extension - Scaling a recipe: A pancake recipe for 4 people uses 300 mL milk and 400 g flour. You want to make enough for 10 people. Calculate the milk (mL) and flour (g) needed. Show your working.

🏁 WALT, Success Criteria & Support

WALT (We Are Learning To): Apply ratios to solve real-life problems using maps, models and recipes.

Success Criteria: - Solve at least three contextual ratio problems correctly. - Show working using a ratio table, bar model or calculation. - Scale one recipe correctly for a different number of people.

Differentiation Strategies: - Visual learners: use the drawing-box to sketch ratio bars or scale lines. - Students needing support: work with a partner and use simpler numbers or a ratio table. - Advanced learners: create and scale their own recipe or design a scale model and find real dimensions.

Extension Activity: Create a simple recipe using a given ratio (e.g., 2:1 flour to sugar). Scale it to serve 3 different group sizes and show the calculations in the math-work-box.