Order of Operations Math Worksheets - Free Printable

Let's solve each of these problems step by step using the BODMAS rule:

> Brackets
> Orders (powers and roots, etc.)
> Division and Multiplication (from left to right)
> Addition and Subtraction (from left to right)

---

1) $(8 \times 5 + 18) - 4 + 17$

- First: $8 \times 5 = 40$
- Then: $40 + 18 = 58$
- Now: $58 - 4 = 54$
- Then: $54 + 17 = 71$

✔ Answer: 71

---

2) $(4 \times 8 \times 7 \times 6) - 11$

- Multiply inside brackets:
- $4 \times 8 = 32$
- $32 \times 7 = 224$
- $224 \times 6 = 1344$
- Then: $1344 - 11 = 1333$

✔ Answer: 1333

---

3) $38 + (16 \times 4 \div 2) \times 10$

- Inside brackets: $16 \times 4 = 64$, then $64 \div 2 = 32$
- Then: $32 \times 10 = 320$
- Then: $38 + 320 = 358$

✔ Answer: 358

---

4) $18 \div 9 \times (10 \times 7) - 1$

- Brackets: $10 \times 7 = 70$
- Now: $18 \div 9 = 2$
- Then: $2 \times 70 = 140$
- Then: $140 - 1 = 139$

✔ Answer: 139

---

5) $(24 + 19 + 24) \div 67 \times 5$

- Brackets: $24 + 19 + 24 = 67$
- Then: $67 \div 67 = 1$
- Then: $1 \times 5 = 5$

✔ Answer: 5

---

6) $38 + (40 + 24) \times 7 - 9$

- Brackets: $40 + 24 = 64$
- Then: $64 \times 7 = 448$
- Now: $38 + 448 = 486$
- Then: $486 - 9 = 477$

✔ Answer: 477

---

7) $9 \times (3 \times 4) \div 6 \times 8$

- Brackets: $3 \times 4 = 12$
- Now: $9 \times 12 = 108$
- Then: $108 \div 6 = 18$
- Then: $18 \times 8 = 144$

✔ Answer: 144

---

8) $7 \times (9 \div 3 + 37) + 22$

- Brackets: $9 \div 3 = 3$, then $3 + 37 = 40$
- Then: $7 \times 40 = 280$
- Then: $280 + 22 = 302$

✔ Answer: 302

---

9) $(9 + 36 - 13 + 8) \times 6$

- Brackets: $9 + 36 = 45$, $45 - 13 = 32$, $32 + 8 = 40$
- Then: $40 \times 6 = 240$

✔ Answer: 240

---

10) $10 \times 10 + (10 \div 2 \times 6)$

- Brackets: $10 \div 2 = 5$, then $5 \times 6 = 30$
- Then: $10 \times 10 = 100$
- Then: $100 + 30 = 130$

✔ Answer: 130

---

11) $14 + 1 \times 9 + (21 + 26)$

- Brackets: $21 + 26 = 47$
- Multiplication: $1 \times 9 = 9$
- Now: $14 + 9 = 23$
- Then: $23 + 47 = 70$

✔ Answer: 70

---

12) $39 + 18 + (3 \times 5 - 6)$

- Brackets: $3 \times 5 = 15$, then $15 - 6 = 9$
- Now: $39 + 18 = 57$
- Then: $57 + 9 = 66$

✔ Answer: 66

---

✔ Final Answers:

1) 71
2) 1333
3) 358
4) 139
5) 5
6) 477
7) 144
8) 302
9) 240
10) 130
11) 70
12) 66

Let me know if you'd like a printable version or explanation in another format!