Sixth-grade math worksheet focusing on the GEMDAS rule for order of operations, with ten problems to solve.

Let’s solve each problem step by step using the GEMDAS rule:

GEMDAS stands for:
- Grouping (parentheses, brackets, braces)
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)

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1. 90 ÷ (3 x 3) - 3²

Step 1: Solve inside parentheses → 3 x 3 = 9
→ 90 ÷ 9 - 3²

Step 2: Exponent → 3² = 9
→ 90 ÷ 9 - 9

Step 3: Division → 90 ÷ 9 = 10
→ 10 - 9

Step 4: Subtraction → 10 - 9 = 1

✔ Answer: 1

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2. 8 x 4 ÷ 2 + (15 ÷ 5) - 4²

Step 1: Parentheses → 15 ÷ 5 = 3
→ 8 x 4 ÷ 2 + 3 - 4²

Step 2: Exponent → 4² = 16
→ 8 x 4 ÷ 2 + 3 - 16

Step 3: Multiplication and Division left to right →
8 x 4 = 32 → 32 ÷ 2 = 16
→ 16 + 3 - 16

Step 4: Addition and Subtraction left to right →
16 + 3 = 19 → 19 - 16 = 3

✔ Answer: 3

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3. {(15 - 3 x 3) - (18 ÷ 9)} + 10²

Step 1: Innermost grouping — first parentheses:
Inside { }:
First part: 15 - 3 x 3 → multiplication first: 3 x 3 = 9 → 15 - 9 = 6
Second part: 18 ÷ 9 = 2
So: {6 - 2} = 4

Step 2: Exponent → 10² = 100
→ 4 + 100 = 104

✔ Answer: 104

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4. 100 - 45 ÷ 3 x 3² + 56

Step 1: Exponent → 3² = 9
→ 100 - 45 ÷ 3 x 9 + 56

Step 2: Division and Multiplication left to right →
45 ÷ 3 = 15 → 15 x 9 = 135
→ 100 - 135 + 56

Step 3: Addition and Subtraction left to right →
100 - 135 = -35 → -35 + 56 = 21

✔ Answer: 21

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5. 6² ÷ 3 x 4 - 28 + (7 + 3)

Step 1: Parentheses → 7 + 3 = 10
→ 6² ÷ 3 x 4 - 28 + 10

Step 2: Exponent → 6² = 36
→ 36 ÷ 3 x 4 - 28 + 10

Step 3: Division and Multiplication left to right →
36 ÷ 3 = 12 → 12 x 4 = 48
→ 48 - 28 + 10

Step 4: Addition and Subtraction left to right →
48 - 28 = 20 → 20 + 10 = 30

✔ Answer: 30

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6. 60 ÷ (5 x 2) + 4³

Step 1: Parentheses → 5 x 2 = 10
→ 60 ÷ 10 + 4³

Step 2: Exponent → 4³ = 64
→ 60 ÷ 10 + 64

Step 3: Division → 60 ÷ 10 = 6
→ 6 + 64 = 70

✔ Answer: 70

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7. 120 ÷ 12 x 5 ÷ 2 - 4

No grouping or exponents → go left to right for multiplication/division.

Step 1: 120 ÷ 12 = 10
→ 10 x 5 = 50
→ 50 ÷ 2 = 25
→ 25 - 4 = 21

✔ Answer: 21

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8. 95 - 24 ÷ (8 x 3) + 2⁴

Step 1: Parentheses → 8 x 3 = 24
→ 95 - 24 ÷ 24 + 2⁴

Step 2: Exponent → 2⁴ = 16
→ 95 - 24 ÷ 24 + 16

Step 3: Division → 24 ÷ 24 = 1
→ 95 - 1 + 16

Step 4: Left to right → 95 - 1 = 94 → 94 + 16 = 110

✔ Answer: 110

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9. 9 x 12 ÷ 3 + 5 - 15

Left to right for multiplication/division:

Step 1: 9 x 12 = 108
→ 108 ÷ 3 = 36
→ 36 + 5 = 41
→ 41 - 15 = 26

✔ Answer: 26

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10. (36 ÷ 9 + 14) ÷ 9 + 12 - 10

Step 1: Inside parentheses → 36 ÷ 9 = 4 → 4 + 14 = 18
→ 18 ÷ 9 + 12 - 10

Step 2: Division → 18 ÷ 9 = 2
→ 2 + 12 - 10

Step 3: Left to right → 2 + 12 = 14 → 14 - 10 = 4

✔ Answer: 4

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Final Answer:
1. 1
2. 3
3. 104
4. 21
5. 30
6. 70
7. 21
8. 110
9. 26
10. 4