Direct Proportion (Year 10)
Free printable UK Year 10 (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 9 · 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 = 5, y = 45. Find y when x = 7.
- 2.y is directly proportional to x. When x = 6, y = 72. Find y when x = 9.
- 3.y is directly proportional to x. When x = 10, y = 70. Find y when x = 3.
- 4.y is directly proportional to x. When x = 9, y = 108. Find y when x = 3.
- 5.y is directly proportional to x. When x = 11, y = 99. Find y when x = 5.
- 6.y is directly proportional to x. When x = 6, y = 48. Find x when y = 144.
- 7.y is directly proportional to x. When x = 4, y = 40. Find x when y = 80.
- 8.y is directly proportional to x. When x = 2, y = 20. Find x when y = 60.
- 9.y is directly proportional to x. When x = 4, y = 28. Find x when y = 84.
- 10.A machine packs for 5 minutes and fills 20 boxes. Assuming direct proportion, find how many boxes it fills in 2 minutes.
- 11.A machine packs for 5 minutes and fills 45 boxes. Assuming direct proportion, find how many boxes it fills in 2 minutes.
- 12.5 kg of flour makes 45 loaves of bread. Assuming direct proportion, find how many loaves 2 kg of flour makes.
- 13.Working 10 hours earns £80 in pay. Assuming direct proportion, find the pay earned for working 15 hours.
- 14.Is y directly proportional to x for this table of values? x = 3, y = 37; x = 8, y = 87; x = 11, y = 117. Answer Yes or No, and give a reason.
- 15.Is y directly proportional to x for this table of values? x = 2, y = 8; x = 9, y = 36; x = 12, y = 48. Answer Yes or No, and give a reason.
- 16.Is y directly proportional to x for this table of values? x = 2, y = 20; x = 10, y = 100; x = 11, y = 110. Answer Yes or No, and give a reason.
- 17.Is y directly proportional to x for this table of values? x = 5, y = 13; x = 9, y = 21; x = 12, y = 27. Answer Yes or No, and give a reason.
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