Order of Operations Math Worksheets - Free Printable

Let’s solve each problem step by step using BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction). We’ll go one at a time and double-check our work.

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1) (29 + 31) × 7 – 17 – 1 = ?

Step 1: Solve inside brackets → 29 + 31 = 60
→ Now: 60 × 7 – 17 – 1

Step 2: Multiply → 60 × 7 = 420
→ Now: 420 – 17 – 1

Step 3: Subtract left to right → 420 – 17 = 403; then 403 – 1 = 402

✔ Check: 60×7=420, minus 18 total → 420–18=402 ✔️

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2) 2 × 4 + 23 + (2 + 6) = ?

Step 1: Brackets → 2 + 6 = 8
→ Now: 2 × 4 + 23 + 8

Step 2: Multiplication → 2 × 4 = 8
→ Now: 8 + 23 + 8

Step 3: Add left to right → 8 + 23 = 31; 31 + 8 = 39

✔ Check: 8+23=31, +8=39 ✔️

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3) (8 × 9) × 3 ÷ 2 + 7 = ?

Step 1: Brackets → 8 × 9 = 72
→ Now: 72 × 3 ÷ 2 + 7

Step 2: Multiply and divide left to right → 72 × 3 = 216; 216 ÷ 2 = 108
→ Now: 108 + 7

Step 3: Add → 108 + 7 = 115

✔ Check: 72×3=216, /2=108, +7=115 ✔️

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4) (32 + 29) – 29 + 32 ÷ 8 = ?

Step 1: Brackets → 32 + 29 = 61
→ Now: 61 – 29 + 32 ÷ 8

Step 2: Division → 32 ÷ 8 = 4
→ Now: 61 – 29 + 4

Step 3: Left to right → 61 – 29 = 32; 32 + 4 = 36

✔ Check: 61-29=32, +4=36 ✔️

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5) (17 – 9 + 26) + 16 – 28 = ?

Step 1: Brackets → do left to right: 17 – 9 = 8; 8 + 26 = 34
→ Now: 34 + 16 – 28

Step 2: Left to right → 34 + 16 = 50; 50 – 28 = 22

✔ Check: 34+16=50, -28=22 ✔️

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6) 26 + 3 + (37 + 8) + 9 = ?

Step 1: Brackets → 37 + 8 = 45
→ Now: 26 + 3 + 45 + 9

Step 2: Add all → 26 + 3 = 29; 29 + 45 = 74; 74 + 9 = 83

✔ Check: 26+3=29, +45=74, +9=83 ✔️

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7) 10 × 6 × (4 + 8 + 23) = ?

Step 1: Brackets → 4 + 8 = 12; 12 + 23 = 35
→ Now: 10 × 6 × 35

Step 2: Multiply left to right → 10 × 6 = 60; 60 × 35

Let’s compute 60 × 35:
60 × 30 = 1800
60 × 5 = 300
Total = 1800 + 300 = 2100

✔ Check: 10×6=60, 60×35=2100 ✔️

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8) 34 – 22 + 27 × (7 + 1) = ?

Step 1: Brackets → 7 + 1 = 8
→ Now: 34 – 22 + 27 × 8

Step 2: Multiplication → 27 × 8 = 216
→ Now: 34 – 22 + 216

Step 3: Left to right → 34 – 22 = 12; 12 + 216 = 228

✔ Check: 27×8=216, 34-22=12, 12+216=228 ✔️

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9) 25 + (22 + 25 – 16) – 37 = ?

Step 1: Brackets → 22 + 25 = 47; 47 – 16 = 31
→ Now: 25 + 31 – 37

Step 2: Left to right → 25 + 31 = 56; 56 – 37 = 19

✔ Check: 25+31=56, -37=19 ✔️

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10) (92 ÷ 4 × 9) + 29 + 29 = ?

Step 1: Brackets → left to right: 92 ÷ 4 = 23; 23 × 9 = 207
→ Now: 207 + 29 + 29

Step 2: Add → 207 + 29 = 236; 236 + 29 = 265

✔ Check: 92/4=23, ×9=207, +29+29=265 ✔️

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11) (26 + 13 – 19 + 13) × 9 = ?

Step 1: Brackets → left to right:
26 + 13 = 39
39 – 19 = 20
20 + 13 = 33
→ Now: 33 × 9

Step 2: Multiply → 33 × 9 = 297

✔ Check: 33×9: 30×9=270, 3×9=27, total 297 ✔️

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12) (2 × 7) × 6 + 16 ÷ 2 = ?

Step 1: Brackets → 2 × 7 = 14
→ Now: 14 × 6 + 16 ÷ 2

Step 2: Multiply and divide left to right → 14 × 6 = 84; 16 ÷ 2 = 8
→ Now: 84 + 8

Step 3: Add → 84 + 8 = 92

✔ Check: 14×6=84, 16÷2=8, 84+8=92 ✔️

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Final Answer:
1) 402
2) 39
3) 115
4) 36
5) 22
6) 83
7) 2100
8) 228
9) 19
10) 265
11) 297
12) 92