Skills · Ratios & Proportions · Ratios & Rates

The constant of proportionality

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. x 2 4 6
    y 20 40 60
  2. x 3 6 9
    y 21 42 63
  3. line through (0, 0) and (2, 6)−6−6−4−4−2−2224466xy
    The line passes through (0, 0) and (2, 6).
  4. line through (0, 0) and (1, 6)−6−6−4−4−2−2224466xy
    The line passes through (0, 0) and (1, 6).
  5. x 4 8 12
    y 44 88 132
  6. line through (0, 0) and (3, 3)−6−6−4−4−2−2224466xy
    The line passes through (0, 0) and (3, 3).
  7. x 4 8 12
    y 60 120 180
  8. line through (0, 0) and (1, 4)−6−6−4−4−2−2224466xy
    The line passes through (0, 0) and (1, 4).

Answer key

  1. 10
  2. 7
  3. 3
  4. 6
  5. 11
  6. 1
  7. 15
  8. 4

Sample Sheet · Level 3

  1. x 9 15 30
    y 6 10 20
  2. 2y = 24x
  3. x 4 10 12
    y 14 35 42
  4. line through (0, 0) and (1, 4)−6−6−4−4−2−2224466xy
    The line passes through (0, 0) and (1, 4).
  5. x 3 4 8
    y 27 36 72
  6. 6y = 8x
  7. line through (0, 0) and (2, 3)−6−6−4−4−2−2224466xy
    The line passes through (0, 0) and (2, 3).
  8. 4y = 3x

Answer key

  1. 23
  2. 12
  3. 3.5
  4. 4
  5. 9
  6. 43 = 113
  7. 32 = 112
  8. 34

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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