Inverse Proportion (Year 11)
Free printable UK Year 11 (GCSE Foundation) maths worksheet on inverse proportion: find the constant k in xy = k and solve for a missing value, or decide whether a table of values shows inverse proportion.
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Grade 10 · Math worksheet
Name
Date
Math
Inverse Proportion
Use the constant xy = k to solve each inverse proportion problem, or decide whether a table of values shows inverse proportion.
- 1.y is inversely proportional to x. When x = 2, y = 45. Find y when x = 6.
- 2.y is inversely proportional to x. When x = 30, y = 2. Find y when x = 1.
- 3.y is inversely proportional to x. When x = 18, y = 2. Find y when x = 2.
- 4.y is inversely proportional to x. When x = 1, y = 90. Find y when x = 3.
- 5.y is inversely proportional to x. When x = 10, y = 4. Find y when x = 2.
- 6.y is inversely proportional to x. When x = 2, y = 6. Find x when y = 12.
- 7.y is inversely proportional to x. When x = 3, y = 8. Find x when y = 4.
- 8.y is inversely proportional to x. When x = 4, y = 6. Find x when y = 8.
- 9.y is inversely proportional to x. When x = 2, y = 10. Find x when y = 5.
- 10.10 identical pipes fill a tank in 6 minutes. Assuming the tank volume stays the same (inverse proportion), how many minutes would it take with 15 pipes?
- 11.18 identical pipes fill a tank in 5 minutes. Assuming the tank volume stays the same (inverse proportion), how many minutes would it take with 3 pipes?
- 12.It takes 6 workers 15 hours to build a wall. Assuming the amount of work stays the same (inverse proportion), how many hours would it take with 15 workers?
- 13.It takes 5 workers 4 hours to build a wall. Assuming the amount of work stays the same (inverse proportion), how many hours would it take with 10 workers?
- 14.It takes 28 workers 3 hours to build a wall. Assuming the amount of work stays the same (inverse proportion), how many hours would it take with 21 workers?
- 15.Is y inversely proportional to x for this table of values? x = 4, y = 16; x = 9, y = 36; x = 18, y = 72. Answer Yes or No, and give a reason.
- 16.Is y inversely proportional to x for this table of values? x = 7, y = 12; x = 12, y = 7; x = 21, y = 4. Answer Yes or No, and give a reason.
- 17.Is y inversely proportional to x for this table of values? x = 3, y = 32; x = 4, y = 24; x = 16, y = 6. Answer Yes or No, and give a reason.
- 18.Is y inversely proportional to x for this table of values? x = 1, y = 3; x = 2, y = 6; x = 16, y = 48. Answer Yes or No, and give a reason.
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