🏃‍♂️ Part 1: Formula Review

1. Complete the speed formula:

Speed = __________ ÷ __________

2. Rearrange the formula to find distance:

Distance = __________ × __________

3. Rearrange the formula to find time:

Time = __________ ÷ __________

4. What are the common units for measuring speed in New Zealand?

kilometres per hour (km/h)

metres per second (m/s)

miles per hour (mph)

centimetres per minute (cm/min)

🚗 Part 2: Real-World Calculations

5. A car travels 120 kilometres in 2 hours. Calculate the car's average speed.

Answer: ________ km/h

6. Sarah runs at a speed of 8 km/h for 45 minutes. How far does she travel?

Answer: ________ kilometres

7. A ferry travels 15 kilometres at a speed of 25 km/h. How long does the journey take?

Answer: ________ hours or ________ minutes

8. Which scenario would have the fastest speed?

A cyclist travelling 30 km in 2 hours

A runner covering 10 km in 1 hour

A car driving 80 km in 1 hour

A walker covering 5 km in 1 hour

🏃‍♀️ Part 3: Sports Applications

9. Match each sport with its typical speed range:

1. Marathon runner

2. Professional cyclist

3. Swimming (freestyle)

4. Walking

A. 2-3 km/h

B. 5-6 km/h

C. 15-20 km/h

D. 40-50 km/h

10. A rugby player runs 80 metres in 10 seconds during a try. Calculate their speed in metres per second.

Answer: ________ m/s

11. Convert your answer from question 10 to kilometres per hour. (Hint: multiply by 3.6)

Answer: ________ km/h

✈️ Part 4: Travel Planning

12. You're planning a road trip from Auckland to Wellington (650 km). If you drive at an average speed of 100 km/h, how long will the journey take?

Answer: ________ hours

13. A plane flies from Christchurch to Sydney (2,100 km) in 3 hours. What is the plane's average speed?

Answer: ________ km/h

14. Which factors might affect travel time in real life?

Traffic conditions

Weather conditions

Rest stops

Speed limits

Road conditions

🚀 Part 5: Extension Challenge

15. A spacecraft travels at 28,000 km/h. How far would it travel in one day (24 hours)?

Answer: ________ kilometres

16. Design your own speed, distance, time problem based on a real-world scenario. Include the question and show your working to solve it.

17. Working space for your problem:

💭 Part 6: Reflection

18. Describe three ways that understanding speed, distance, and time is useful in everyday life:

19. What was the most challenging part of this worksheet and why?

20. Rate your confidence with speed, distance, and time calculations:

Very confident - I can solve any problem!

Confident - I understand most concepts

Somewhat confident - I need more practice

Not confident - I need help with these concepts

Speed Distance Time Applications

Speed Distance Time Applications

🏃‍♂️ Part 1: Formula Review

🚗 Part 2: Real-World Calculations

🏃‍♀️ Part 3: Sports Applications

✈️ Part 4: Travel Planning

🚀 Part 5: Extension Challenge

💭 Part 6: Reflection

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