Let’s solve each problem step by step using BODMAS/PEMDAS:
BODMAS / PEMDAS means:
-
Brackets (or Parentheses) first
-
Orders (exponents, roots — not in this worksheet)
-
Division and
Multiplication (left to right)
-
Addition and
Subtraction (left to right)
We’ll go row by row.
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Left Column:
1. `22 x (3 + 2)`
→ Brackets first: 3 + 2 = 5
→ Then multiply: 22 x 5 =
110
2. `25 + 6 ÷ 2`
→ Division first: 6 ÷ 2 = 3
→ Then add: 25 + 3 =
28
3. `55 - 3 x 15`
→ Multiplication first: 3 x 15 = 45
→ Then subtract: 55 - 45 =
10
4. `23 + 6 ÷ 2`
→ Division first: 6 ÷ 2 = 3
→ Then add: 23 + 3 =
26
5. `(11 + 13) ÷ 2`
→ Brackets first: 11 + 13 = 24
→ Then divide: 24 ÷ 2 =
12
6. `17 x (9 ÷ 2)`
→ Brackets first: 9 ÷ 2 = 4.5
→ Then multiply: 17 x 4.5 =
76.5
7. `17 + 4 - 13`
→ Left to right: 17 + 4 = 21; 21 - 13 =
8
8. `10 x 9 - 22`
→ Multiply first: 10 x 9 = 90
→ Then subtract: 90 - 22 =
68
9. `24 ÷ (8 + 2)`
→ Brackets first: 8 + 2 = 10
→ Then divide: 24 ÷ 10 =
2.4
10. `27 ÷ 3 - 2`
→ Divide first: 27 ÷ 3 = 9
→ Then subtract: 9 - 2 =
7
---
Right Column:
11. `22 - 4 x 2`
→ Multiply first: 4 x 2 = 8
→ Then subtract: 22 - 8 =
14
12. `20 x (6 ÷ 2)`
→ Brackets first: 6 ÷ 2 = 3
→ Then multiply: 20 x 3 =
60
13. `70 x (4 - 2)`
→ Brackets first: 4 - 2 = 2
→ Then multiply: 70 x 2 =
140
14. `10 + 9 ÷ 3`
→ Divide first: 9 ÷ 3 = 3
→ Then add: 10 + 3 =
13
15. `10 ÷ 2 x 3`
→ Left to right: 10 ÷ 2 = 5; then 5 x 3 =
15
16. `67 + 4 x 2`
→ Multiply first: 4 x 2 = 8
→ Then add: 67 + 8 =
75
17. `36 ÷ (4 + 2)`
→ Brackets first: 4 + 2 = 6
→ Then divide: 36 ÷ 6 =
6
18. `12 x 3 + 10`
→ Multiply first: 12 x 3 = 36
→ Then add: 36 + 10 =
46
19. `15 x (12 + 7)`
→ Brackets first: 12 + 7 = 19
→ Then multiply: 15 x 19 =
285
20. `14 x (8 ÷ 16)`
→ Brackets first: 8 ÷ 16 = 0.5
→ Then multiply: 14 x 0.5 =
7
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Final Answer:
110, 28, 10, 26, 12, 76.5, 8, 68, 2.4, 7, 14, 60, 140, 13, 15, 75, 6, 46, 285, 7
Parent Tip: Review the logic above to help your child master the concept of operations worksheet.
