Order of Operations worksheet with 20 math problems requiring step-by-step solutions.

Let’s solve each problem one by one, following the order of operations:
Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)

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1. (2³ + 5 × 8)
→ 2³ = 8
→ 5 × 8 = 40
→ 8 + 40 = 48

2. (2 × 6³ + 6³ × 1² + 2)
→ 6³ = 216, 1² = 1
→ 2 × 216 = 432
→ 216 × 1 = 216
→ 432 + 216 + 2 = 650

3. (4 ÷ 1) × 1
→ 4 ÷ 1 = 4
→ 4 × 1 = 4

4. (6 × 3) × 7
→ 6 × 3 = 18
→ 18 × 7 = 126

5. (6 – 5²) + 3³ × 2
→ 5² = 25 → 6 – 25 = -19
→ 3³ = 27 → 27 × 2 = 54
→ -19 + 54 = 35

6. (1 – 6 – 3)
→ 1 – 6 = -5
→ -5 – 3 = -8

7. 5² + 9 + (2² × 1³ × 5)
→ 5² = 25
→ 2² = 4, 1³ = 1 → 4 × 1 × 5 = 20
→ 25 + 9 + 20 = 54

8. (7² ÷ 1 – 8) + 7³ + 4
→ 7² = 49 → 49 ÷ 1 = 49 → 49 – 8 = 41
→ 7³ = 343
→ 41 + 343 + 4 = 388

9. (9² – 3) + 9
→ 9² = 81 → 81 – 3 = 78
→ 78 + 9 = 87

10. (3³ + 9) × (1 + 9 – 2)
→ 3³ = 27 → 27 + 9 = 36
→ 1 + 9 = 10 → 10 – 2 = 8
→ 36 × 8 = 288

11. 9 + 9 + (6² – 6) × 4
→ 6² = 36 → 36 – 6 = 30
→ 30 × 4 = 120
→ 9 + 9 + 120 = 138

12. 5 – (3 – 3) + 6³ ÷ 1
→ 3 – 3 = 0
→ 6³ = 216 → 216 ÷ 1 = 216
→ 5 – 0 + 216 = 221

13. 6 + 1 × (9 – 4) + 6
→ 9 – 4 = 5
→ 1 × 5 = 5
→ 6 + 5 + 6 = 17

14. (6 ÷ 6) × (2² + 8) ÷ 1
→ 6 ÷ 6 = 1
→ 2² = 4 → 4 + 8 = 12
→ 1 × 12 = 12 → 12 ÷ 1 = 12

15. (2² × 4 × 3)
→ 2² = 4
→ 4 × 4 = 16 → 16 × 3 = 48

16. (1³ – 6) ÷ 5 = ?
→ 1³ = 1 → 1 – 6 = -5
→ -5 ÷ 5 = -1 ✔ (matches given answer)

17. (7 – 2² + 3)
→ 2² = 4
→ 7 – 4 = 3 → 3 + 3 = 6

18. 4³ × (6 + 8) ÷ 1 = ?
→ 4³ = 64
→ 6 + 8 = 14
→ 64 × 14 = 896 → 896 ÷ 1 = 896 ✔ (matches given answer)

19. 4 × (9² ÷ 6 × 5)
→ 9² = 81
→ 81 ÷ 6 = 13.5 → 13.5 × 5 = 67.5
→ 4 × 67.5 = 270

Wait — let’s double-check that division and multiplication left to right:

Inside parentheses: 9² ÷ 6 × 5
→ 81 ÷ 6 = 13.5
→ 13.5 × 5 = 67.5
→ 4 × 67.5 = 270 ✔️

But maybe we should keep it as fractions? Let’s try:

81 ÷ 6 = 27/2
27/2 × 5 = 135/2
4 × 135/2 = (4/1) × (135/2) = 540/2 = 270 ✔️

20. (5 × 8²) + 9
→ 8² = 64
→ 5 × 64 = 320
→ 320 + 9 = 329

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Final Answer:
1. 48
2. 650
3. 4
4. 126
5. 35
6. -8
7. 54
8. 388
9. 87
10. 288
11. 138
12. 221
13. 17
14. 12
15. 48
16. -1
17. 6
18. 896
19. 270
20. 329