6th Grade Order of Operations Worksheets - Free Printable

Let’s solve each problem one by one, following the order of operations:

> PEMDAS = Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)

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1) 4 + 7 × 3 – 6
→ Multiply first: 7 × 3 = 21
→ Then: 4 + 21 – 6 = 25 – 6 = 19

2) (7 + 11) ÷ 3 – 5
→ Parentheses: 7 + 11 = 18
→ Divide: 18 ÷ 3 = 6
→ Subtract: 6 – 5 = 1

3) 9 × (8 – 5) + 6
→ Parentheses: 8 – 5 = 3
→ Multiply: 9 × 3 = 27
→ Add: 27 + 6 = 33

4) 6 – 2 × 5 + 8
→ Multiply: 2 × 5 = 10
→ Left to right: 6 – 10 = -4; then -4 + 8 = 4

5) 8 × 5 ÷ 4 – 9
→ Multiply and divide left to right: 8 × 5 = 40; 40 ÷ 4 = 10
→ Subtract: 10 – 9 = 1

6) 4 – 7 × (5 – 3) + 6
→ Parentheses: 5 – 3 = 2
→ Multiply: 7 × 2 = 14
→ Left to right: 4 – 14 = -10; -10 + 6 = -4

7) 30 – (10 – 8) × (4 + 3)
→ Parentheses: 10 – 8 = 2; 4 + 3 = 7
→ Multiply: 2 × 7 = 14
→ Subtract: 30 – 14 = 16

8) 4 × 8 – 7 × 6
→ Multiply both: 4×8=32; 7×6=42
→ Subtract: 32 – 42 = -10

9) ½ × (12 + 6) – 4
→ Parentheses: 12 + 6 = 18
→ Multiply: ½ × 18 = 9
→ Subtract: 9 – 4 = 5

10) 8 × (¾ + ¼) – 5
→ Inside parentheses: ¾ + ¼ = 1
→ Multiply: 8 × 1 = 8
→ Subtract: 8 – 5 = 3

11) (5 + 4)²
→ Parentheses: 5 + 4 = 9
→ Square: 9² = 81 → 81

12) 5² – (3 + 2)²
→ Exponents and parentheses: 5² = 25; (3+2)=5 → 5²=25
→ Subtract: 25 – 25 = 0

13) ½ × (23 – 9) + ¼ × (15 – 7)
→ Parentheses: 23–9=14; 15–7=8
→ Multiply: ½×14=7; ¼×8=2
→ Add: 7 + 2 = 9

14) 18 ÷ (2² + 5)
→ Exponent: 2² = 4
→ Parentheses: 4 + 5 = 9
→ Divide: 18 ÷ 9 = 2

15) (6² + 12) ÷ (3² – 1)
→ Exponents: 6²=36; 3²=9
→ Parentheses: 36+12=48; 9–1=8
→ Divide: 48 ÷ 8 = 6

16) ¾ × (5 + 12 ÷ 4)
→ Inside parentheses: division first → 12 ÷ 4 = 3; then 5 + 3 = 8
→ Multiply: ¾ × 8 = 6 → 6

17) (3² – 7) × (2² + 8)
→ Exponents: 3²=9; 2²=4
→ Parentheses: 9–7=2; 4+8=12
→ Multiply: 2 × 12 = 24

18) 7 × 5 – 4 × 6 + 3 × 9
→ Multiply all: 7×5=35; 4×6=24; 3×9=27
→ Left to right: 35 – 24 = 11; 11 + 27 = 38

19) 7 × 4 ÷ 2 + 5 × 3
→ Multiply/divide left to right: 7×4=28; 28÷2=14; 5×3=15
→ Add: 14 + 15 = 29

20) (5² – 7) ÷ (4² + 2)
→ Exponents: 5²=25; 4²=16
→ Parentheses: 25–7=18; 16+2=18
→ Divide: 18 ÷ 18 = 1

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Final Answer:
1) 19
2) 1
3) 33
4) 4
5) 1
6) -4
7) 16
8) -10
9) 5
10) 3
11) 81
12) 0
13) 9
14) 2
15) 6
16) 6
17) 24
18) 38
19) 29
20) 1