Order of Operations 6.3 worksheet with 20 math problems for practice.

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) 4 + 5 × 6 – 3 × 12
→ Multiply first: 5×6 = 30; 3×12 = 36
→ Now: 4 + 30 – 36
→ Add/subtract left to right: 4+30=34; 34–36 = -2

2) 9 + 21 ÷ 3 + 4 × 5
→ Divide and multiply: 21÷3=7; 4×5=20
→ Now: 9 + 7 + 20 = 36

3) 6 – 7 × 3 + 2 × 5
→ Multiply: 7×3=21; 2×5=10
→ Now: 6 – 21 + 10
→ Left to right: 6–21 = -15; -15+10 = -5

4) 12 – (3 × 5 – 4)
→ Inside parentheses: 3×5=15; 15–4=11
→ Now: 12 – 11 = 1

5) 3 × 2² × 5
→ Exponent first: 2² = 4
→ Now: 3 × 4 × 5 = 12 × 5 = 60

6) 10 + 5 × 4² ÷ 2
→ Exponent: 4² = 16
→ Multiply/divide left to right: 5×16=80; 80÷2=40
→ Now: 10 + 40 = 50

7) 5² – 2³ × 3
→ Exponents: 5²=25; 2³=8
→ Multiply: 8×3=24
→ Now: 25 – 24 = 1

8) (2 + 4)² – (10 – 8)³
→ Parentheses: 2+4=6; 10–8=2
→ Exponents: 6²=36; 2³=8
→ Now: 36 – 8 = 28

9) 7(3² – 5) – 6 × 3
→ Inside parentheses: 3²=9; 9–5=4
→ Multiply: 7×4=28; 6×3=18
→ Now: 28 – 18 = 10

10) ½(5 + 3 × 3) – 4 × 2
→ Inside parentheses: 3×3=9; 5+9=14
→ Multiply: ½ × 14 = 7; 4×2=8
→ Now: 7 – 8 = -1

11) (11 – 3)² ÷ (15 – 11)
→ Parentheses: 11–3=8; 15–11=4
→ Exponent: 8²=64
→ Divide: 64 ÷ 4 = 16

12) ⅓(12 – 3 × 5 + 4)
→ Inside parentheses: 3×5=15; then 12–15=-3; -3+4=1
→ Multiply: ⅓ × 1 = ⅓

13) 7 + 5² – 4² × 2
→ Exponents: 5²=25; 4²=16
→ Multiply: 16×2=32
→ Now: 7 + 25 – 32 = 32 – 32 = 0

14) (2 + 21 ÷ 7 – 4)³
→ Inside parentheses: 21÷7=3; then 2+3=5; 5–4=1
→ Exponent: 1³ = 1

15) ¾ × 8 – 12 ÷ (11 – 8)
→ Parentheses: 11–8=3
→ Multiply/divide: ¾×8 = 6; 12÷3=4
→ Now: 6 – 4 = 2

16) 4 + 0.3 × 6 – 2 × 0.5
→ Multiply: 0.3×6=1.8; 2×0.5=1
→ Now: 4 + 1.8 – 1 = 5.8 – 1 = 4.8

17) 1 – 0.8 ÷ 2 + 0.5
→ Divide: 0.8÷2=0.4
→ Now: 1 – 0.4 + 0.5 = 0.6 + 0.5 = 1.1

18) 0.3 + 0.7 × 2 – 3.2 ÷ 4
→ Multiply/divide: 0.7×2=1.4; 3.2÷4=0.8
→ Now: 0.3 + 1.4 – 0.8 = 1.7 – 0.8 = 0.9

19) 3(0.4 + 0.8) – 0.5 × 4
→ Parentheses: 0.4+0.8=1.2
→ Multiply: 3×1.2=3.6; 0.5×4=2
→ Now: 3.6 – 2 = 1.6

20) 9 + 3 × 4² ÷ 8 – 6
→ Exponent: 4²=16
→ Multiply/divide left to right: 3×16=48; 48÷8=6
→ Now: 9 + 6 – 6 = 15 – 6 = 9

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Final Answer:
1) -2
2) 36
3) -5
4) 1
5) 60
6) 50
7) 1
8) 28
9) 10
10) -1
11) 16
12) ⅓
13) 0
14) 1
15) 2
16) 4.8
17) 1.1
18) 0.9
19) 1.6
20) 9