Inverse Proportion (Year 10)
Free printable UK Year 10 (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 9 · 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 = 48, y = 2. Find y when x = 12.
- 2.y is inversely proportional to x. When x = 4, y = 3. Find y when x = 2.
- 3.y is inversely proportional to x. When x = 10, y = 2. Find y when x = 4.
- 4.y is inversely proportional to x. When x = 24, y = 3. Find y when x = 12.
- 5.y is inversely proportional to x. When x = 15, y = 2. Find y when x = 10.
- 6.y is inversely proportional to x. When x = 20, y = 6. Find x when y = 20.
- 7.y is inversely proportional to x. When x = 5, y = 4. Find x when y = 5.
- 8.y is inversely proportional to x. When x = 24, y = 4. Find x when y = 12.
- 9.y is inversely proportional to x. When x = 2, y = 6. Find x when y = 12.
- 10.1 identical printer finishes a batch in 36 minutes. Assuming the batch size stays the same (inverse proportion), how many minutes would it take with 4 printers?
- 11.4 identical printers finish a batch in 6 minutes. Assuming the batch size stays the same (inverse proportion), how many minutes would it take with 1 printer?
- 12.20 identical printers finish a batch in 3 minutes. Assuming the batch size stays the same (inverse proportion), how many minutes would it take with 4 printers?
- 13.1 identical printer finishes a batch in 84 minutes. Assuming the batch size stays the same (inverse proportion), how many minutes would it take with 4 printers?
- 14.It takes 20 workers 2 hours to build a wall. Assuming the amount of work stays the same (inverse proportion), how many hours would it take with 4 workers?
- 15.Is y inversely proportional to x for this table of values? x = 1, y = 4; x = 4, y = 16; x = 5, y = 20. Answer Yes or No, and give a reason.
- 16.Is y inversely proportional to x for this table of values? x = 8, y = 15; x = 12, y = 10; x = 20, y = 6. Answer Yes or No, and give a reason.
- 17.Is y inversely proportional to x for this table of values? x = 1, y = 84; x = 2, y = 42; x = 12, y = 7. Answer Yes or No, and give a reason.
- 18.Is y inversely proportional to x for this table of values? x = 3, y = 12; x = 6, y = 24; x = 9, y = 36. Answer Yes or No, and give a reason.
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