Ratios vs. Rates Worksheet

Name:

Date:

📚 Part 1: Identify — Ratio or Rate?

WALT: We are learning to compare and contrast ratios and rates.

Success criteria: I can identify examples as a ratio or a rate and explain why.

1. A recipe uses 2 cups of flour for every 3 cups of sugar.

Ratio

Rate

2. A car travels 90 kilometres in 1.5 hours.

Ratio

Rate

3. A paint mix uses 4 parts blue to 1 part white.

Ratio

Rate

4. A supermarket shows apples at $3 for 5 apples.

Ratio

Rate

✏️ Part 2: Short Answers & Comparisons

Differentiation: Use diagrams or tables to help show your thinking. Ask for a worked example if needed. Extension tasks are marked with *.

5. Convert to a unit rate: A bag of oranges costs $12 for 2 kg. What is the cost per kg? Show your working.

6. Ratio problem: A paint tin is mixed in the ratio 3 red : 5 white. What fraction of the tin is red? Give your answer as a fraction and as a percentage.

7. Compare value (show working): Product A costs $12 for 2 kg. Product B costs $16 for 3 kg. Which is better value per kg? Explain briefly.

8. *Extension*: A car travels 240 km in 3 hours. Another car travels 400 km in 5 hours. Which car is faster? Calculate each speed (km/h) and state which is quicker.

9. In your own words, explain the difference between a ratio and a rate. Give one real-life example of each (one sentence each).

Extension activity (for early finishers): Find a real-life advertisement or product label that shows a rate (e.g. $ per kg, km/h). Bring or note it for class discussion.