Multiplying, dividing and mixed operations · Ages 9–10

Grandmaster mix worksheet

Part of: The distributive property and mixed operations

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Multiplying, dividing and mixed operations · Ages 9–10

Numsprite
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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.

13.Tsz-hin has three boxes of 84 sweets each and a bag of 96 sweets. He shares all the sweets equally among 4 children. How many sweets does each child get?
Working:
Answer:
14.A toy costs $260, and two of them cost $10 less. Ka-yee buys two and also uses a $20 voucher. How many dollars must she pay?
Working:
Answer:
15.A car park charges $27 an hour, and any part of an hour is charged as a whole hour. Ka-lok's dad parks for 3 h 40 min. How many dollars must he pay?
Working:
Answer:
16.A car park charges $20 an hour, and any part of an hour is charged as a whole hour. Ka-yan's dad parks for 4 h 45 min. How many dollars must he pay?
Working:
Answer:
17.Tsz-ching has three boxes of 77 sweets each and a bag of 61 sweets. She shares all the sweets equally among 4 children. How many sweets does each child get?
Working:
Answer:
18.A toy costs $320, and two of them cost $10 less. May buys two and also uses a $30 voucher. How many dollars must she pay?
Working:
Answer:

Show the answers and working

Grandmaster mix worksheet: Answers and working

1. (64 ÷ 8) × 10 = 80
(64 ÷ 8) × 10: brackets first, 64 ÷ 8 = 8, 8 × 10 = 80
2. 95 × 93 = 8835
95 × 93: 95 is 5 short of 100, 93 is 7 short. Front 95 − 7 = 88, back 5 × 7 = 35, front then back → 8835
3. 93 × 93 = 8649
93 × 93: 93 is 7 short of 100, 93 is 7 short. Front 93 − 7 = 86, back 7 × 7 = 49, front then back → 8649
4. 22 × 11 = 242
22 × 11: split 2 and 2, put 2 + 2 = 4 in between → 242
5. 24² + 27 = 603
24² + 27: × and ÷ before + and −, 24 × 24 = 576, 576 + 27 = 603
6. (15 ÷ 3) × 12 = 60
(15 ÷ 3) × 12: brackets first, 15 ÷ 3 = 5, 5 × 12 = 60
7. 91 × 98 = 8918
91 × 98: 91 is 9 short of 100, 98 is 2 short. Front 91 − 2 = 89, back 9 × 2 = 18, front then back → 8918
8. 98 × 98 = 9604
98 × 98: 98 is 2 short of 100, 98 is 2 short. Front 98 − 2 = 96, back 2 × 2 = 4, the back is always two digits: 4 is written 04, front then back → 9604
9. 34 × 3 − 16 = 86
34 × 3 − 16: × and ÷ before + and −, 34 × 3 = 102, 102 − 16 = 86
10. 25 × 4 − 36 = 64
25 × 4 − 36: × and ÷ before + and −, 25 × 4 = 100, 100 − 36 = 64
11. 90 × 11 = 990
90 × 11: split 9 and 0, put 9 + 0 = 9 in between → 990
12. 27 × 11 = 297
27 × 11: split 2 and 7, put 2 + 7 = 9 in between → 297

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

13. Tsz-hin has three boxes of 84 sweets each and a bag of 96 sweets. He shares all the sweets equally among 4 children. How many sweets does each child get? (Answer: 87 sweets)
3 × 84 = 252; (3 × 84 + 96) ÷ 4 = 87
14. A toy costs $260, and two of them cost $10 less. Ka-yee buys two and also uses a $20 voucher. How many dollars must she pay? (Answer: 490 dollars)
2 × 260 − 10 = 510; 510 − 20 = 490
15. A car park charges $27 an hour, and any part of an hour is charged as a whole hour. Ka-lok's dad parks for 3 h 40 min. How many dollars must he pay? (Answer: 108 dollars)
3 h 40 min counts as 4 hours: 4 × 27 = 108
16. A car park charges $20 an hour, and any part of an hour is charged as a whole hour. Ka-yan's dad parks for 4 h 45 min. How many dollars must he pay? (Answer: 100 dollars)
4 h 45 min counts as 5 hours: 5 × 20 = 100
17. Tsz-ching has three boxes of 77 sweets each and a bag of 61 sweets. She shares all the sweets equally among 4 children. How many sweets does each child get? (Answer: 73 sweets)
3 × 77 = 231; (3 × 77 + 61) ÷ 4 = 73
18. A toy costs $320, and two of them cost $10 less. May buys two and also uses a $30 voucher. How many dollars must she pay? (Answer: 600 dollars)
2 × 320 − 10 = 630; 630 − 30 = 600

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