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Compound Events Test Answer Key with Scoring – Grade 7

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Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Grade 7 Math Test Answer Keys – Mathbot, the Math Made Easy robot coach, with free printable test answer keys for Grade 7
Looking for a compound events test answer key? Then this answer key gives the solutions and the scoring guide of the Grade 7 test on Compound Events, Sample Spaces and Simulations. The answer key gives full solutions and a scoring guide. Give credit for any organized method that finds the correct sample space, and award a point for a correct probability even if the list was drawn as a table rather than a tree.

Standards: 7.SP.C.8 · Level: Grade 7

Question 1 List a sample space (2 points)

  1. A-H, A-T, B-H, B-T, C-H, C-T (6 outcomes).
  2. One outcome, C-T, out of 6: 1/6.

Scoring: 1 point for each part.

Question 2 Two number cubes (3 points)

  1. Sum 9: (3, 6), (4, 5), (5, 4), (6, 3), so 4/36 = 1/9.
  2. Sums 2, 3, 4 occur 1 + 2 + 3 = 6 times: 6/36 = 1/6.
  3. Doubles: (1, 1) through (6, 6), so 6/36 = 1/6.

Scoring: 1 point for each part.

Cube 2Cube 1123456123456723456783456789456789105678910116789101112
The 6 shaded cells are doubles.

Question 3 Tree diagram (3 points)

  1. 2 × 3 = 6.
  2. One outcome, H-Yellow: 1/6.
  3. T-Red and T-Yellow: 2/6 = 1/3.

Scoring: 1 point for each part.

HH, RedRedH, YellowYellowH, BlueBlueTT, RedRedT, YellowYellowT, BlueBlue
Shaded: T, Red and T, Yellow.

Question 4 Outfits (2 points)

  1. 6 × 3 × 2 = 36.
  2. 1/36.

Scoring: 1 point for each part.

Question 5 Sums of spinners (2 points)

  1. The sums are 3, 5 / 4, 6 / 5, 7.
  2. The sums greater than 4 are 5, 6, 5, 7, which is 4 of 6 outcomes: 2/3.

Scoring: 1 point for each part.

Spin 2Spin 124135246357
Shaded sums are greater than 4.

Question 6 Draw without replacement (3 points)

  1. 5 × 4 = 20 ordered pairs.
  2. Both yellow: 3 × 2 = 6, so 6/20 = 3/10.
  3. Blue then yellow: 2 × 3 = 6, and yellow then blue: 3 × 2 = 6. Total 12, so 12/20 = 3/5.

Scoring: 1 point for each part.

Question 7 Design a simulation (3 points)

  1. One flip is one child: heads is a boy and tails is a girl. One trial is 3 flips, one family.
  2. A trial succeeds when exactly 2 of the 3 flips are heads.
  3. Successes: BBG, BGB, GBB, BGB, which is 4 of 10, so 0.4.

Scoring: 1 point for each part.

Question 8 Coin and cube game (2 points)

  1. 2 × 5 = 10.
  2. Winning outcomes: T1 and T2, so 2/10 = 1/5.

Scoring: 1 point for each part.

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