Ratio Problem Solving

Name:

Date:

📚 Part 1: Warm-up Multiple Choice

WALT: Apply ratios to solve everyday problems and choose reasonable answers.

Success Criteria: I can identify parts in a ratio, scale ratios up or down, and check my answers for reasonableness.

Differentiation: Use a diagram, table or counters to model ratios if helpful. Advanced learners: try checking equivalent ratios by different scaling factors.

1. Apples : Oranges = 2 : 3. If there are 12 oranges, how many apples are there?

2. A paint mix needs red : white = 5 : 2. If you have 35 L of red, how many litres of white are needed?

14 L

7 L

10 L

21 L

3. A recipe uses sugar : flour = 3 : 5. If you use 25 cups of flour, how many cups of sugar are needed?

10 cups

15 cups

5 cups

20 cups

4. In a class the ratio boys : girls = 7 : 5. If there are 48 students in total, how many boys are there?

✏️ Part 2: Short Answer & Problem Solving

5. Share $60 between A and B in the ratio 2 : 3. Show your working and state how much each person gets.

6. On a map 1 cm represents 5 km. Two towns are 3.2 cm apart on the map. How far apart are they in kilometres? Show a check.

7. A paint mix uses blue : yellow = 4 : 1. You need 15 L of the final mix. How many litres of blue and how many litres of yellow are required? Explain your method (diagram, table or equation).

8. Extension (Design a quick survey): Write a short survey question you could ask 10 classmates (for example, favourite fruit). Explain how you would present the results as ratios and give one example of possible results.

Extension tip: Advanced learners can collect actual data, convert counts to ratios, and simplify to lowest terms to present to the class.