Questions on the Distributive Property
Multiple-choice questions (MCQs) on the Distributive Property tailored for Grade 6, each with five alternatives (A–E). At the end, you’ll find explained answers for all questions.
Distributive Property – Multiple Choice Questions
Questions
1. A bakery packs 3 trays with 5 chocolate muffins and 7 vanilla muffins each. How many muffins are there in total?
A) 36
B) 25
C) 20
D) 15
E) 12
2. Calculate: 4 × (6 + 9)
A) 24
B) 36
C) 60
D) 45
E) 15
3. Simplify using the distributive property: 2 × (8 + 5)
A) 26
B) 21
C) 16
D) 13
E) 30
4. A school buys 6 packs of notebooks. Each pack has 4 red and 3 blue notebooks. How many notebooks did the school buy?
A) 42
B) 36
C) 28
D) 18
E) 21
5. Simplify: 3 × (7 + 2)
A) 27
B) 24
C) 18
D) 21
E) 30
6. Using distributive property: 5 × (10 − 3) = ?
A) 50
B) 35
C) 15
D) 40
E) 20
7. Which of the following is equivalent to 6 × (2 + 3)?
A) 6 + 2 + 3
B) 6 × 2 + 3
C) 6 × 2 + 6 × 3
D) 2 × 3 + 6
E) 6 × 5
8. Simplify: 7 × (4 + 6)
A) 28
B) 40
C) 70
D) 63
E) 49
9. There are 5 boxes. Each box contains 3 red pens and 2 blue pens. How many pens are there in all?
A) 10
B) 20
C) 15
D) 25
E) 30
10. Which is the result of 8 × (6 − 2)?
A) 56
B) 32
C) 40
D) 64
E) 48
11. Which expression shows the distributive property?
A) 4 + 5
B) 7 × 3
C) (6 + 2) × 3
D) 3 × (6 + 2) = 3 × 6 + 3 × 2
E) 9 × 1
12. Simplify: 9 × (5 + 1)
A) 45
B) 56
C) 54
D) 64
E) 60
13. A farmer has 4 pens. Each pen holds 6 cows and 4 goats. How many animals does the farmer have?
A) 24
B) 30
C) 40
D) 50
E) 60
14. What is 3 × (9 − 4)?
A) 13
B) 15
C) 12
D) 10
E) 9
15. Using the distributive property, 2 × (7 + 5) = ?
A) 14 + 10
B) 14 + 5
C) 7 + 10
D) 2 × 12
E) 12 × 2
16. Choose the expression that uses the distributive property:
A) 4 + 4 + 4
B) 3 × 5
C) (2 + 3) × 4
D) 4 × (2 + 3) = 4 × 2 + 4 × 3
E) 20 ÷ 5
17. Simplify: 10 × (2 + 8)
A) 80
B) 20
C) 100
D) 90
E) 60
18. A team has 5 players. Each player has 2 pairs of shoes and 3 balls. How many items are there in total?
A) 15
B) 25
C) 20
D) 30
E) 35
19. Which is the expanded form of 6 × (3 + 2)?
A) 18
B) 6 × 3 + 6 × 2
C) 6 + 3 + 2
D) 6 × 5
E) 5 × 6
20. Simplify: 12 × (1 + 4)
A) 60
B) 55
C) 50
D) 45
E) 48
- Questions on Multiplication of Decimals and Whole Numbers
- Questions on Properties of Multiplication in Decimal Operations
Answer Key with Explanations
1. A) 3 × (5 + 7) = 3 × 12 = 36
2. C) 4 × (6 + 9) = 4 × 15 = 60
3. B) 2 × (8 + 5) = 2 × 13 = 26
4. A) 6 × (4 + 3) = 6 × 7 = 42
5. D) 3 × (7 + 2) = 3 × 9 = 27
6. B) 5 × (10 − 3) = 5 × 7 = 35
7. C) 6 × (2 + 3) = 6 × 2 + 6 × 3 = 12 + 18 = 30
8. C) 7 × (4 + 6) = 7 × 10 = 70
9. D) 5 × (3 + 2) = 5 × 5 = 25
10. B) 8 × (6 − 2) = 8 × 4 = 32
11. D) 3 × (6 + 2) = 3 × 6 + 3 × 2 → This shows the distributive property
12. E) 9 × (5 + 1) = 9 × 6 = 54
13. E) 4 × (6 + 4) = 4 × 10 = 40
14. E) 3 × (9 − 4) = 3 × 5 = 15
15. A) 2 × (7 + 5) = 2 × 7 + 2 × 5 = 14 + 10
16. D) 4 × (2 + 3) = 4 × 2 + 4 × 3 → Distributive
17. C) 10 × (2 + 8) = 10 × 10 = 100
18. E) 5 × (2 + 3) = 5 × 5 = 25
19. B) 6 × 3 + 6 × 2 = 18 + 12 = 30
20. A) 12 × (1 + 4) = 12 × 5 = 60
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