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Grade 7 Constant of Proportionality Worksheets

Find the k in y = kx, then use it to answer either way round.

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Ratios & Proportions · Grade 7

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SkillEach skill is a different kind of question, with its own levels.
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Grade 7 · 3 pages · A4

Ratios & Proportions Practice

Grade 7 • Constant of Proportionality • Find y from x
Name:Date:

Find the constant, then use it.

  1. 1) y is directly proportional to x. When x = 7, y = 49. Find y when x = 8.
    Answer:
  1. 2) y is directly proportional to x. When x = 10, y = 130. Find y when x = 7.
    Answer:
  1. 3) y is directly proportional to x. When x = 8, y = 72. Find y when x = 2.
    Answer:
  1. 4) y is directly proportional to x. When x = 6, y = 48. Find y when x = 11.
    Answer:
  1. 5) y is directly proportional to x. When x = 7, y = 63. Find y when x = 3.
    Answer:
  1. 6) y is directly proportional to x. When x = 7, y = 98. Find y when x = 10.
    Answer:
  1. 7) y is directly proportional to x. When x = 8, y = 48. Find y when x = 12.
    Answer:
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Page 1 of 3

Find the constant, then use it. (continued)

  1. 8) y is directly proportional to x. When x = 10, y = 120. Find y when x = 9.
    Answer:
  1. 9) y is directly proportional to x. When x = 7, y = 35. Find y when x = 8.
    Answer:
  1. 10) y is directly proportional to x. When x = 3, y = 21. Find y when x = 9.
    Answer:
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Page 2 of 3

Answer Key

  1. 1. y = 56
  2. 2. y = 91
  3. 3. y = 18
  4. 4. y = 88
  1. 5. y = 27
  2. 6. y = 140
  3. 7. y = 72
  4. 8. y = 108
  1. 9. y = 40
  2. 10. y = 63
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Page 3 of 3

What each level generates

Grade 7 constant of proportionality — the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1Find the constant
  2. Level 2Find y from x
  3. Level 3Find x from y

Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →

More Grade 7 ratios & proportions skills

Each one generates a different kind of question, with its own three levels and answer key.

Frequently asked questions

▸What is a proportional relationship?

Two quantities are proportional when their ratio is constant — double one and the other doubles. In a table the ratios are all equal, and on a graph the points form a straight line through the origin, described by the equation y = kx.

▸How do you find the constant of proportionality?

Divide one quantity by the other to get the unit rate, which is the constant k. If 3 kg cost 12 dollars, then k = 12 ÷ 3 = 4 dollars per kg. The Constant of Proportionality sub-skill here builds exactly this skill.

▸How is Grade 7 ratio work different from Grade 6?

Grade 6 introduces ratio language and unit rate; Grade 7 uses proportional relationships to reason further — identifying the constant of proportionality, writing y = kx equations, and solving multi-step percent problems. The Solving Proportions sub-skill steps up to finding an unknown value.

▸Can I use these worksheets for percent, tax, and tip problems?

These sheets drill the underlying skills — solving proportions, scaling quantities, and the constant of proportionality — that make percent problems solvable. For dedicated percent, discount, and tax practice, use the Percentages topic, which is built for that.

▸Can I make a version for a substitute teacher or a retest?

Yes. The shareable link reproduces the identical worksheet and answer key, so a substitute prints the exact sheet you planned. Press Shuffle instead for a fresh set at the same difficulty when you need a clean retest, and switch on the easy-read font if a student finds dense pages hard to track.