Properties of Multiplication: Grade 3 Math Test Answer Key – PDF Download

Grade 3 Properties Test Answer Key: questions 1–5

Question 1: Turn-around facts (2 points)

1. 3 rows of 8: \(3 \times 8 = 24\).
2. 8 rows of 3: \(8 \times 3 = 24\).

Scoring: 1 point for each correct sentence with its product. Give the point for part b if the factors are swapped, even if part a is wrong.

Question 2: Fill in the blanks (2 points)

1. 9. Swap the factors: \(9 \times 6 = 6 \times 9\).
2. 7. Swap the factors: \(7 \times 4 = 4 \times 7\).

Scoring: 1 point for each correct number.

Question 3: Equal or not equal (2 points)

1. \(7 \times 3 = 21\) and \(3 \times 7 = 21\). Answer: equal.
2. \(6 \times 4 = 24\) and \(5 \times 5 = 25\). Answer: not equal.

Scoring: 1 point for each correct answer supported by the two products.

Question 4: Group three factors (2 points)

1. \(3 \times 2 = 6\), then \(6 \times 5 = 30\). Answer: 30.
2. \(2 \times 5 = 10\), then \(3 \times 10 = 30\). Answer: 30.

Scoring: 1 point for each correct product.

Question 5: Area model (3 points)

1. Left part has 5 rows and 4 columns: \(5 \times 4 = 20\).
2. Right part has 5 rows and 3 columns: \(5 \times 3 = 15\).
3. \(20 + 15 = 35\). Check: \(5 \times 7 = 35\). Answer: 35 squares.

Scoring: 1 point for each part.

Grade 3 Properties Test Answer Key: questions 6–8

Question 6: Break apart a factor (3 points)

Split 7 into smaller numbers, for example \(7 = 4 + 3\). Then \(8 \times 4 = 32\) and \(8 \times 3 = 24\). Add: \(32 + 24 = 56\).

Answer: \(8 \times 7 = 56\).

Scoring: 1 point for splitting a factor into two numbers that add to it; 1 point for both correct partial products; 1 point for the correct sum. Any correct split, such as 5 + 2, earns full credit.

Question 7: Crayon shelves (3 points)

1. \(2 \times 5 \times 7\), or with parentheses \((2 \times 5) \times 7\).
2. \(2 \times 5 = 10\), then \(10 \times 7 = 70\). Answer: 70 crayons.

Scoring: part a 1 point for three factors multiplied. Part b 1 point for a correct first product (10 boxes, or 35 crayons on one shelf) and 1 point for the total 70. Accept any grouping.

Question 8: Flower rows (3 points)

1. \(6 \times 8 = 48\) and \(8 \times 6 = 48\). Each child plants 48 flowers.
2. Neither. They plant the same number.
3. The commutative property: swapping the factors does not change the product.

Scoring: 1 point for each part.

Scoring summary

How to use this grade 3 properties test answer key

Use this grade 3 properties test answer key to score the test fairly and to see which skills need more practice.

⬇ Download the Grade 3 Properties of Multiplication test answer key (PDF, 94 KB)

See every chapter on the Grade 3 math page.