Multiplying, dividing and mixed operations · Ages 9–10

The distributive property worksheet

Part of: The distributive property and mixed operations

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Multiplying, dividing and mixed operations · Ages 9–10

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Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

1.77 × 4 + 77 × 6 = 77 ×
Answer:
2.7 × (30 + 6) = 7 × 30 + 7 × =
Fill in each blank
Answer:
3.Chairs stand in 2 rows, each with 6 red chairs and 2 blue ones. There are 2 × 6 = red chairs and 2 × 2 = blue ones, so 2 × (6 + 2) = .
Fill in each blank
Answer:
4.76 × 2 + 76 × 8 = 76 ×
Answer:
5.Work out: 54 × 89 + 54 × 11 =
Answer:
6.Work out: 98 × 16 =
Answer:
7.Work out: 54 × 88 + 54 × 12 =
Answer:
8.Work out: 88 × 42 + 42 × 12 =
Answer:
9.Work out: 16 × 84 + 84 × 84 =
Answer:

13.Boxes of paper-wrapped cakes sell at $41 each. 52 boxes sell in the morning and 32 in the afternoon. How much more does the morning take?
Working:
Answer:
14.Theme park tickets cost $38 each. A family buys 3 adult tickets and 7 senior tickets at the same price. How much do they pay?
Working:
Answer:
15.A stationery set is a backpack at $64 and a pencil case at $36. How much do 27 sets cost?
Working:
Answer:
16.Ka-yee runs 225 m every morning and 1275 m every evening. How far does Ka-yee run in 27 days?
Working:
Answer:
17.May runs 775 m every morning and 225 m every evening. How far does May run in 21 days?
Working:
Answer:
18.Boxes of croissants sell at $88 each. 32 boxes sell in the morning and 12 in the afternoon. How much more does the morning take?
Working:
Answer:

Show the answers and working

The distributive property worksheet: Answers and working

1. 10
Both parts are times 77. Put the other two numbers, 4 and 6, together.
Both parts are times 77, so add 4 and 6 first: 4 + 6 = 10.
2. 6, 252
7 multiplies everything in the brackets: the 30 and the 6 too.
7 times 30 and times 6, added: 210 + 42 = 252.
3. 12, 4, 16
Count the colours apart first: 2 rows of 6 red chairs, and 2 rows of 2 blue ones.
12 red and 4 blue make the same as 2 rows of 8: 2 × (6 + 2) = 12 + 4 = 16.
4. 10
Both parts are times 76. Put the other two numbers, 2 and 8, together.
Both parts are times 76, so add 2 and 8 first: 2 + 8 = 10.
5. 5400
Both parts are times 54. Add 89 and 11 first and see what round number you get.
54 × (89 + 11) = 54 × 100 = 5400.
6. 1568
98 is close to 100. Work out 100 × 16 first, then think how to adjust.
98 = 100 − 2, so 98 × 16 = 100 × 16 − 2 × 16 = 1600 − 32 = 1568.
7. 5400
Both parts are times 54. Add 88 and 12 first and see what round number you get.
54 × (88 + 12) = 54 × 100 = 5400.
8. 4200
88 × 42 is the same as 42 × 88, so both parts are times 42. Now look at 88 and 12.
88 × 42 = 42 × 88, so both parts are times 42: 42 × (88 + 12) = 42 × 100 = 4200.
9. 8400
16 × 84 is the same as 84 × 16, so both parts are times 84. Now look at 16 and 84.
16 × 84 = 84 × 16, so both parts are times 84: 84 × (16 + 84) = 84 × 100 = 8400.

10. True
Both parts are times 89. Look at the sign between them: should 76 and 4 be added or subtracted in the brackets?
Both parts are times 89 with a subtraction between, so it is 89 × (76 − 4) = 89 × 72.
11. A. 6 × 14 + 6 × 7
6 multiplies each number in the brackets. Once both are multiplied, how do the two parts join?
6 times 14 and times 7, then add: 6 × 14 + 6 × 7.
12. C. 8 × 34 + 8 × 6
8 multiplies each number in the brackets. Once both are multiplied, how do the two parts join?
8 times 34 and times 6, then add: 8 × 34 + 8 × 6.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 820 dollars
Every box is $41. First work out how many more boxes sell in the morning.
41 × 52 − 41 × 32 = 41 × (52 − 32) = 41 × 20 = 820.
14. 380 dollars
Every ticket is $38. Count how many tickets they buy in all first.
38 × 3 + 38 × 7 = 38 × (3 + 7) = 38 × 10 = 380.
15. 2700 dollars
A set is a backpack plus a pencil case. Find the price of one set first: 64 + 36.
27 × 64 + 27 × 36 = 27 × (64 + 36) = 27 × 100 = 2700.
16. 40500 m
Find one day's distance first: 225 m in the morning plus 1275 m in the evening.
225 + 1275 m a day, so 27 × (225 + 1275) = 40500 m.
17. 21000 m
Find one day's distance first: 775 m in the morning plus 225 m in the evening.
775 + 225 m a day, so 21 × (775 + 225) = 21000 m.
18. 1760 dollars
Every box is $88. First work out how many more boxes sell in the morning.
88 × 32 − 88 × 12 = 88 × (32 − 12) = 88 × 20 = 1760.

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