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Ignition Learning — Activity Sheet

Rates, speed and unit conversions

Mathematics · Year 8

Name: ______________________Date: ____________

Rates, speed and unit conversions builds confident Year 8 mathematical reasoning. Work from the information given, choose a suitable method, show each step and check that the answer is sensible.

Example

A worked rates, speed and unit conversions example should show the method clearly before giving a final answer.

Key terms

Method:
A planned set of mathematical steps.
Reasoning:
Explaining why a method is suitable.
Check:
Testing whether an answer is sensible.

Questions

  1. 1. Rates, speed and unit conversions: check 1 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  2. 2. Rates, speed and unit conversions: check 2 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  3. 3. Rates, speed and unit conversions: check 3 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  4. 4. Rates, speed and unit conversions: check 4 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  5. 5. Rates, speed and unit conversions: check 5 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  6. 6. Rates, speed and unit conversions: check 6 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  7. 7. Rates, speed and unit conversions: check 7 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  8. 8. Rates, speed and unit conversions: check 8 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  9. 9. Rates, speed and unit conversions: check 9 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  10. 10. Rates, speed and unit conversions: check 10 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  11. 11. Rates, speed and unit conversions: check 11 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  12. 12. Rates, speed and unit conversions: check 12 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  13. 13. Rates, speed and unit conversions: check 13 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  14. 14. Rates, speed and unit conversions: check 14 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  15. 15. Rates, speed and unit conversions: check 15 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  16. 16. Rates, speed and unit conversions: check 16 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  17. 17. Rates, speed and unit conversions: check 17 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  18. 18. Rates, speed and unit conversions: check 18 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  19. 19. Rates, speed and unit conversions: check 19 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  20. 20. Rates, speed and unit conversions: check 20 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

  21. 21. Rates, speed and unit conversions: check 21 — which approach shows clear mathematical reasoning?

    • Identify the information, choose a method, calculate carefully and check the result
    • Guess an answer without working
    • Ignore units and conditions
    • Use an unrelated rule

Answer key (parent copy)

  1. 1. Identify the information, choose a method, calculate carefully and check the result
  2. 2. Identify the information, choose a method, calculate carefully and check the result
  3. 3. Identify the information, choose a method, calculate carefully and check the result
  4. 4. Identify the information, choose a method, calculate carefully and check the result
  5. 5. Identify the information, choose a method, calculate carefully and check the result
  6. 6. Identify the information, choose a method, calculate carefully and check the result
  7. 7. Identify the information, choose a method, calculate carefully and check the result
  8. 8. Identify the information, choose a method, calculate carefully and check the result
  9. 9. Identify the information, choose a method, calculate carefully and check the result
  10. 10. Identify the information, choose a method, calculate carefully and check the result
  11. 11. Identify the information, choose a method, calculate carefully and check the result
  12. 12. Identify the information, choose a method, calculate carefully and check the result
  13. 13. Identify the information, choose a method, calculate carefully and check the result
  14. 14. Identify the information, choose a method, calculate carefully and check the result
  15. 15. Identify the information, choose a method, calculate carefully and check the result
  16. 16. Identify the information, choose a method, calculate carefully and check the result
  17. 17. Identify the information, choose a method, calculate carefully and check the result
  18. 18. Identify the information, choose a method, calculate carefully and check the result
  19. 19. Identify the information, choose a method, calculate carefully and check the result
  20. 20. Identify the information, choose a method, calculate carefully and check the result
  21. 21. Identify the information, choose a method, calculate carefully and check the result