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Inverse Proportion (Year 8)

Free printable UK Year 8 (Key Stage 3) maths worksheet: solve inverse proportion word problems (workers and days, pipes and time, speed and time).

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Grade 7 · Math worksheet
Name
Date
Math

Inverse Proportion

In each problem, the 2 quantities are inversely proportional (their product stays constant). Find the missing value.

  1. 1.
    It takes 3 workers 12 days to build a wall. How many days would 36 workers take (working at the same rate)?
  2. 2.
    4 identical pipes fill a tank in 10 hours. How many hours would 1 pipe take (all working at the same rate)?
  3. 3.
    A journey takes 3 hours at an average speed of 6 mph. How many hours would the same journey take at 2 mph?
  4. 4.
    It takes 6 workers 4 days to build a wall. How many days would 3 workers take (working at the same rate)?
  5. 5.
    5 identical pipes fill a tank in 8 hours. How many hours would 40 pipes take (all working at the same rate)?
  6. 6.
    A journey takes 4 hours at an average speed of 7 mph. How many hours would the same journey take at 4 mph?
  7. 7.
    It takes 7 workers 8 days to build a wall. How many days would 4 workers take (working at the same rate)?
  8. 8.
    5 identical pipes fill a tank in 3 hours. How many hours would 15 pipes take (all working at the same rate)?
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