Multiplying, dividing and mixed operations · Ages 8–9

Order of operations and brackets worksheet

Covers: Adding and subtracting three numbers, Brackets, Order of operations (BODMAS), Bar models for word problems, Two-step word problems

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Multiplying, dividing and mixed operations · Ages 8–9

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.

9.165 − (27 + 40) = 178
True or false?
Answer:
10.Look at the bar model. Which number sentence finds how much A has?
- A. 71 + 26
- B. 26
- C. 71 + 71 − 26
- D. 71 − 26
Choose the right answer
Answer:
11.May has 60 marbles and Ming has 18 fewer, so together they have 78.
True or false?
Answer:
12.Ka-yee has 36 pencils. Ming has 16 fewer than Ka-yee. Which number sentence finds how many they have altogether?
- A. 36 + 16
- B. 36 − 16
- C. 36 + (36 − 16)
- D. 36 + (36 + 16)
Choose the right answer
Answer:

13.A shopping centre has 4241 people in the morning. At noon 322 leave and 337 more arrive. How many people are there now?
Working:
Answer:
14.Tsz-ching's brother has $4,459. He spends $1,860 on a bike and $284 on a helmet. How much does he have left?
Working:
Answer:
15.Each fruit basket has 13 red apples and 6 green apples. How many apples are in 2 baskets?
Working:
Answer:
16.Tsz-ching buys 9 stationery sets, each a $7 pen and a $3 ruler. How many dollars must she pay altogether?
Working:
Answer:
17.Ka-yan has saved 55 stickers, and Chi-keung has 17 more than Ka-yan. How many stickers do they have altogether?
Working:
Answer:
18.A bakery sells 189 egg tarts in the morning, and 190 more than that in the afternoon. How many does it sell all day?
Working:
Answer:

Show the answers and working

Order of operations and brackets worksheet: Answers and working

1. 1249
Left to right: work out 865 − 399 first, then add 783.
Left to right: 865 − 399 = 466, 466 + 783 = 1249.
2. 4439, 3810
The first box is 4116 + 323; the second takes 629 away from that.
First 4116 + 323 = 4439, then 4439 − 629 = 3810.
3. 4700
Look at 222 and 78: do they add up to a whole hundred or thousand? Then you can take them off in one go.
222 and 78 make 300, so take it away at once: 5000 − 300 = 4700.
4. 155
With brackets, work out what's inside first: 78 − 27.
Brackets first: 78 − 27 = 51, then 104 + 51 = 155.
5. 80
With brackets, work out what's inside first: 16 + 21.
Brackets first: 16 + 21 = 37, then 117 − 37 = 80.
6. 2 × 2 − 2 = 2
2 × 2 − 2: × and ÷ before + and −, 2 × 2 = 4, 4 − 2 = 2
7. 8 × 5 − 1 = 39
8 × 5 − 1: × and ÷ before + and −, 8 × 5 = 40, 40 − 1 = 39
8. 87
Is B's bar longer or shorter than A's? The extra stretch is the difference.
B's bar is longer, by 10: bigger = smaller + difference, 77 + 10 = 87.

9. False
Work out the brackets, 27 + 40, take that from 165, then compare with 178.
Brackets first, 27 + 40, then take that from 165: 98.
10. D. 71 − 26
Is A's bar longer or shorter than B's? To find the smaller amount, do you add or subtract?
Smaller = bigger − difference: 71 − 26 = 45.
11. False
First find Ming's amount: 18 fewer than 60. Then the total, and compare with 78.
Ming has 60 − 18 = 42; together 60 + 42 = 102.
12. C. 36 + (36 − 16)
Altogether = Ka-yee's + Ming's. How do you write Ming's amount as a calculation?
Ming has 36 − 16, so together 36 + (36 − 16).

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

13. 4256 people
Leaving subtracts and arriving adds. Start from the 4241 in the morning and go one step at a time.
4241 − 322 + 337 = 4256.
14. 2,315 dollars
Both are spending, so start from $4,459 and subtract twice.
Subtract twice: 4459 − 1860 − 284 = 2315.
15. 38 apples
Work out one basket first: 13 red plus 6 green. Then think about 2 baskets.
Each basket has (13 + 6): (13 + 6) × 2 = 38.
16. Tsz-ching buys 9 stationery sets, each a $7 pen and a $3 ruler. How many dollars must she pay altogether? (Answer: 90 dollars)
9 × (7 + 3) = 90
17. 127 stickers
First find Chi-keung's amount: 17 more than Ka-yan's 55. Then the total.
First Chi-keung: 55 + 17 = 72; then altogether: 55 + 72 = 127.
18. 568 egg tarts
First find the afternoon's sales: 190 more than the morning's 189. Then the whole day.
Afternoon 189 + 190 = 379; all day 189 + 379 = 568.

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