Multiplying, dividing and mixed operations · Ages 9–10

Mixed-operation shortcuts worksheet

Part of: The distributive property and mixed operations

In the print window, choose “Save as PDF” to download it. The answers print on the last page.

Multiplying, dividing and mixed operations · Ages 9–10

Numsprite
numsprite.com

Name:Date:Score:／48

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

13.Ka-lok saves $39 a week. After 7 weeks, he buys a pair of trainers for $159. How many dollars does he have left?
Working:
Answer:
14.A storybook costs $32, and a pen is $12 cheaper than a storybook. Tsz-ching buys 3 storybooks and 3 pens. How many dollars must she pay?
Working:
Answer:
15.Ming saves $34 a week. After 7 weeks, he buys a pair of trainers for $149. How many dollars does he have left?
Working:
Answer:
16.On a coach tour, each person pays $34 for the coach and $46 for entry. 21 people go. How many dollars do they pay altogether?
Working:
Answer:
17.On a coach tour, each person pays $21 for the coach and $58 for entry. 21 people go. How many dollars do they pay altogether?
Working:
Answer:
18.A storybook costs $42, and a pen is $10 cheaper than a storybook. Ka-yan buys 6 storybooks and 6 pens. How many dollars must she pay?
Working:
Answer:

Show the answers and working

Mixed-operation shortcuts worksheet: Answers and working

1. 9 × 10 − 9 = 81
9 × 10 − 9: × and ÷ before + and −, 9 × 10 = 90, 90 − 9 = 81
2. 20 ÷ 5 + 8 = 12
20 ÷ 5 + 8: × and ÷ before + and −, 20 ÷ 5 = 4, 4 + 8 = 12
3. 25 × 6 + 28 = 178
25 × 6 + 28: × and ÷ before + and −, 25 × 6 = 150, 150 + 28 = 178
4. (8 + 5) × 7 = 91
(8 + 5) × 7: brackets first, 8 + 5 = 13, 13 × 7 = 91
5. 4 × 11 − 3 = 41
4 × 11 − 3: × and ÷ before + and −, 4 × 11 = 44, 44 − 3 = 41
6. (9 + 2) × 2 = 22
(9 + 2) × 2: brackets first, 9 + 2 = 11, 11 × 2 = 22
7. 21 × 4 + 12 = 96
21 × 4 + 12: × and ÷ before + and −, 21 × 4 = 84, 84 + 12 = 96
8. 15 × 6 + 19 = 109
15 × 6 + 19: × and ÷ before + and −, 15 × 6 = 90, 90 + 19 = 109
9. 49 × 3 + 15 = 162
49 × 3 + 15: × and ÷ before + and −, 49 × 3 = 147, 147 + 15 = 162
10. (11 + 12) × 7 = 161
(11 + 12) × 7: brackets first, 11 + 12 = 23, 23 × 7 = 161
11. 36 ÷ 3 + 3 = 15
36 ÷ 3 + 3: × and ÷ before + and −, 36 ÷ 3 = 12, 12 + 3 = 15
12. (3 + 6) × 5 = 45
(3 + 6) × 5: brackets first, 3 + 6 = 9, 9 × 5 = 45

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

13. Ka-lok saves $39 a week. After 7 weeks, he buys a pair of trainers for $159. How many dollars does he have left? (Answer: 114 dollars)
39 × 7 − 159 = 114
14. A storybook costs $32, and a pen is $12 cheaper than a storybook. Tsz-ching buys 3 storybooks and 3 pens. How many dollars must she pay? (Answer: 156 dollars)
32 − 12 = 20; 3 × (32 + 20) = 156
15. Ming saves $34 a week. After 7 weeks, he buys a pair of trainers for $149. How many dollars does he have left? (Answer: 89 dollars)
34 × 7 − 149 = 89
16. On a coach tour, each person pays $34 for the coach and $46 for entry. 21 people go. How many dollars do they pay altogether? (Answer: 1680 dollars)
21 × (34 + 46) = 1680
17. On a coach tour, each person pays $21 for the coach and $58 for entry. 21 people go. How many dollars do they pay altogether? (Answer: 1659 dollars)
21 × (21 + 58) = 1659
18. A storybook costs $42, and a pen is $10 cheaper than a storybook. Ka-yan buys 6 storybooks and 6 pens. How many dollars must she pay? (Answer: 444 dollars)
42 − 10 = 32; 6 × (42 + 32) = 444

Numsprite · numsprite.com/en/worksheets/distributive-property-and-mixed-operations/mixed-operation-shortcuts