Direct Proportion (Year 11)
Free printable UK Year 11 (GCSE Foundation) maths worksheet on direct proportion: find the constant k in y = kx and solve for a missing value, or decide whether a table of values shows direct proportion.
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Grade 10 · Math worksheet
Name
Date
Math
Direct Proportion
Use the constant of proportionality k (where y = kx) to solve each direct proportion problem, or decide whether a table of values shows direct proportion.
- 1.y is directly proportional to x. When x = 8, y = 56. Find y when x = 9.
- 2.y is directly proportional to x. When x = 5, y = 25. Find y when x = 3.
- 3.y is directly proportional to x. When x = 8, y = 72. Find y when x = 5.
- 4.y is directly proportional to x. When x = 12, y = 60. Find y when x = 5.
- 5.y is directly proportional to x. When x = 12, y = 120. Find y when x = 5.
- 6.y is directly proportional to x. When x = 7, y = 42. Find x when y = 84.
- 7.y is directly proportional to x. When x = 2, y = 10. Find x when y = 30.
- 8.y is directly proportional to x. When x = 11, y = 55. Find x when y = 165.
- 9.y is directly proportional to x. When x = 9, y = 81. Find x when y = 243.
- 10.Working 3 hours earns £18 in pay. Assuming direct proportion, find the pay earned for working 4 hours.
- 11.Working 3 hours earns £18 in pay. Assuming direct proportion, find the pay earned for working 11 hours.
- 12.8 kg of flour makes 80 loaves of bread. Assuming direct proportion, find how many loaves 14 kg of flour makes.
- 13.4 kg of flour makes 48 loaves of bread. Assuming direct proportion, find how many loaves 9 kg of flour makes.
- 14.Is y directly proportional to x for this table of values? x = 2, y = 6; x = 10, y = 30; x = 15, y = 45. Answer Yes or No, and give a reason.
- 15.Is y directly proportional to x for this table of values? x = 2, y = 32; x = 8, y = 104; x = 11, y = 140. Answer Yes or No, and give a reason.
- 16.Is y directly proportional to x for this table of values? x = 5, y = 35; x = 10, y = 70; x = 15, y = 105. Answer Yes or No, and give a reason.
- 17.Is y directly proportional to x for this table of values? x = 5, y = 31; x = 6, y = 37; x = 14, y = 85. Answer Yes or No, and give a reason.
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