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

Each solution shows the expected reasoning and a scoring guide. Award partial credit when the method is correct but an arithmetic slip changes the final number.
Standards: 6.RP.A.1, 6.RP.A.3a · Level: Grade 6
Question 1 Ratio Language (2 points)
- 17 : 12
- Total fruit 17 + 12 = 29, so 1229.
Scoring: 1 point for each part; reversed order earns 0 for that part.
Question 2 Reading a Tape Diagram (2 points)
- 3 : 5
- 3 + 5 = 8 flowers in all, so 5 : 8.
Scoring: 1 point for each part.
Question 3 Equivalent Ratios (2 points)
- 35 ÷ 5 = 7, and 12 × 7 = 84, so 35 : 84.
- The greatest common factor is 21, so 2 : 3.
Scoring: 1 point for each part.
Question 4 Missing Terms (2 points)
- 54 ÷ 9 = 6, and 4 × 6 = 24.
- 35 ÷ 5 = 7, and 6 × 7 = 42.
Scoring: 1 point for each part.
Question 5 Ratio Table (2 points)
Ratio 4 : 7. Flour 12 = 4 × 3, so honey = 21. Honey 35 = 7 × 5, so flour = 20. Flour 52 = 4 × 13, so honey = 91.
Honey 21 and 91; flour 20.
Scoring: 2 points for all three correct values; 1 point if two are correct.
Question 6 Equivalent or Not? (2 points)
- Both simplify to 2 : 5, so equivalent.
- 15 : 9 simplifies to 5 : 3 and 20 : 14 simplifies to 10 : 7, so not equivalent.
Scoring: 1 point for each part, including a correct justification.
Question 7 Hiking Supplies (3 points)
- 28 ÷ 4 = 7, and 3 × 7 = 21 bottles.
- 33 ÷ 3 = 11, and 4 × 11 = 44 bars.
- 4 + 3 = 7 items per group, 105 ÷ 7 = 15 groups, and 4 × 15 = 60 bars.
Scoring: 1 point for each part.
Question 8 Comparing Smoothies (3 points)
Compare using 15 cups of orange juice. X: 3 : 4 = 15 : 20. Y: 5 : 7 = 15 : 21.
With the same orange juice, X has less mango, so its orange taste is stronger. Blend X.
Scoring: 1 point for equivalent ratios with a common term; 1 point for each correct comparison and conclusion.
Question 9 Animal Shelter (2 points)
7 + 4 = 11 parts, so 33 ÷ 11 = 3 animals per part. Cats: 7 × 3 = 21.
21 cats.
Scoring: 1 point for finding the part size 3; 1 point for the answer.
