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Exploring Rates Worksheet

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Exploring Rates Worksheet

Speed and rate calculations illustration

📊 Part 1: Understanding Rates

1. Which of the following is an example of a rate?

5 apples

80 kilometres per hour

12 students

$25

2. A car travels 240 kilometres in 3 hours. What is the unit rate (speed)?

60 km/h

80 km/h

90 km/h

120 km/h

3. Sarah earns $168 for working 12 hours. How much does she earn per hour?

Answer: $_______ per hour

4. Which of these situations involve rates? (Select all that apply)

Heart rate: 72 beats per minute

Recipe: 3 cups of flour

Internet speed: 50 megabytes per second

Exchange rate: $1 NZD = $0.65 USD

🧮 Part 2: Calculating with Rates

5. A tap fills a swimming pool at a rate of 45 litres per minute. How long will it take to fill a 1,800-litre pool?

Answer: _______ minutes

6. James types at a rate of 65 words per minute. How many words can he type in 8 minutes?

Answer: _______ words

7. A recipe for 4 people uses 600g of flour. How much flour is needed for 10 people?

Step 1: Find the rate of flour per person: _______ g per person

Step 2: Calculate for 10 people: _______ g

💭 Part 3: Real-Life Applications

8. A school fundraiser sells 150 sausages in 2 hours. At this rate, how many sausages will they sell in 5 hours?

Answer: _______ sausages

9. Explain in your own words what a "unit rate" means and give an example from your daily life.
10. Challenge: A water tank loses 8 litres every 3 hours due to a small leak. If the tank starts with 200 litres, how much water will be left after 15 hours?

Answer: _______ litres remaining

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