Bodmas Worksheet with 20 math problems and answer columns.
A black and white Bodmas worksheet with 20 math questions and blank answer spaces.
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Show Answer Key & Explanations
Step-by-step solution for: Maths - Gr 8 Bodmas Worksheet • Teacha!
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Show Answer Key & Explanations
Step-by-step solution for: Maths - Gr 8 Bodmas Worksheet • Teacha!
To solve the problems in the BODMAS worksheet, we need to follow the order of operations as specified by the BODMAS rule:
BODMAS Rule:
1. Brackets
2. Orders (powers and roots, etc.)
3. Division and Multiplication (left-to-right)
4. Addition and Subtraction (left-to-right)
Let's solve each problem step by step.
---
- Subtracting a negative is the same as adding.
- \( 7 - (-5) = 7 + 5 = 12 \)
Answer: \( 12 \)
---
- First, perform multiplication: \( 3 \times 15 = 45 \).
- Then, subtract: \( 32 - 45 = -13 \).
Answer: \( -13 \)
---
- First, perform division: \( 9 \div 3 = 3 \).
- Then, subtract: \( 3 - 7 = -4 \).
Answer: \( -4 \)
---
- First, solve the brackets: \( 10 + 6 = 16 \).
- Next, divide: \( 16 \div 4 = 4 \).
- Finally, subtract: \( 4 - 4 = 0 \).
Answer: \( 0 \)
---
- First, solve the brackets: \( 5 - 3 = 2 \).
- Then, multiply: \( 8 \times 2 = 16 \).
Answer: \( 16 \)
---
- Simply add: \( -15 + 20 = 5 \).
Answer: \( 5 \)
---
- Perform multiplication from left to right: \( 4 \times 2 = 8 \), then \( 8 \times 3 = 24 \).
Answer: \( 24 \)
---
- First, solve the brackets: \( 8 - 5 = 3 \).
- Then, add: \( 5 + 3 = 8 \).
Answer: \( 8 \)
---
- Solve the brackets:
- \( 6 + 4 = 10 \)
- \( 5 \times 2 = 10 \)
- Divide: \( 10 \div 10 = 1 \).
Answer: \( 1 \)
---
- First, divide: \( 42 \div 3 = 14 \).
- Then, subtract: \( 14 - 12 = 2 \).
Answer: \( 2 \)
---
- Solve the brackets: \( 11 + 5 = 16 \).
- Divide: \( 16 \div 4 = 4 \).
- Add: \( 4 + (-4) = 0 \).
Answer: \( 0 \)
---
- Subtracting a negative is the same as adding.
- \( -1 - (-26) = -1 + 26 = 25 \).
Answer: \( 25 \)
---
- Solve the brackets:
- \( 12 + 7 = 19 \)
- \( 2 - 23 = -21 \)
- Subtract: \( 19 - (-21) = 19 + 21 = 40 \).
Answer: \( 40 \)
---
- First, multiply: \( 2 \times 11 = 22 \).
- Then, subtract: \( 20 - 22 = -2 \).
Answer: \( -2 \)
---
- Solve the brackets: \( 4 - 14 = -10 \).
- Multiply: \( 8 \times 5 = 40 \).
- Add: \( 40 + (-10) = 40 - 10 = 30 \).
Answer: \( 30 \)
---
- Subtracting a negative is the same as adding.
- \( 25 - (-37) = 25 + 37 = 62 \).
Answer: \( 62 \)
---
- Subtracting a negative is the same as adding.
- \( 6 - (-10) = 6 + 10 = 16 \).
Answer: \( 16 \)
---
- First, divide: \( 24 \div (-2) = -12 \).
- Next, multiply: \( (-4) \times 11 = -44 \).
- Subtract: \( -12 - (-44) = -12 + 44 = 32 \).
Answer: \( 32 \)
---
- Solve the brackets:
- \( 10 - 17 = -7 \)
- \( 25 - 15 = 10 \)
- Subtract: \( -7 - 10 = -17 \).
Answer: \( -17 \)
---
- Solve the brackets: \( 4 - 7 = -3 \).
- Multiply: \( 5 \times (-3) = -15 \).
- Divide: \( -15 \div 15 = -1 \).
Answer: \( -1 \)
---
1. \( 12 \)
2. \( -13 \)
3. \( -4 \)
4. \( 0 \)
5. \( 16 \)
6. \( 5 \)
7. \( 24 \)
8. \( 8 \)
9. \( 1 \)
10. \( 2 \)
11. \( 0 \)
12. \( 25 \)
13. \( 40 \)
14. \( -2 \)
15. \( 30 \)
16. \( 62 \)
17. \( 16 \)
18. \( 32 \)
19. \( -17 \)
20. \( -1 \)
Boxed Final Answer:
\[
\boxed{
\begin{array}{c|c}
\text{Question} & \text{Answer} \\
\hline
1. & 12 \\
2. & -13 \\
3. & -4 \\
4. & 0 \\
5. & 16 \\
6. & 5 \\
7. & 24 \\
8. & 8 \\
9. & 1 \\
10. & 2 \\
11. & 0 \\
12. & 25 \\
13. & 40 \\
14. & -2 \\
15. & 30 \\
16. & 62 \\
17. & 16 \\
18. & 32 \\
19. & -17 \\
20. & -1 \\
\end{array}
}
\]
BODMAS Rule:
1. Brackets
2. Orders (powers and roots, etc.)
3. Division and Multiplication (left-to-right)
4. Addition and Subtraction (left-to-right)
Let's solve each problem step by step.
---
Problem 1: \( 7 - (-5) \)
- Subtracting a negative is the same as adding.
- \( 7 - (-5) = 7 + 5 = 12 \)
Answer: \( 12 \)
---
Problem 2: \( 32 - 3 \times 15 \)
- First, perform multiplication: \( 3 \times 15 = 45 \).
- Then, subtract: \( 32 - 45 = -13 \).
Answer: \( -13 \)
---
Problem 3: \( 9 \div 3 - 7 \)
- First, perform division: \( 9 \div 3 = 3 \).
- Then, subtract: \( 3 - 7 = -4 \).
Answer: \( -4 \)
---
Problem 4: \( (10 + 6) \div 4 - 4 \)
- First, solve the brackets: \( 10 + 6 = 16 \).
- Next, divide: \( 16 \div 4 = 4 \).
- Finally, subtract: \( 4 - 4 = 0 \).
Answer: \( 0 \)
---
Problem 5: \( 8 \times (5 - 3) \)
- First, solve the brackets: \( 5 - 3 = 2 \).
- Then, multiply: \( 8 \times 2 = 16 \).
Answer: \( 16 \)
---
Problem 6: \( -15 + 20 \)
- Simply add: \( -15 + 20 = 5 \).
Answer: \( 5 \)
---
Problem 7: \( 4 \times 2 \times 3 \)
- Perform multiplication from left to right: \( 4 \times 2 = 8 \), then \( 8 \times 3 = 24 \).
Answer: \( 24 \)
---
Problem 8: \( 5 + (8 - 5) \)
- First, solve the brackets: \( 8 - 5 = 3 \).
- Then, add: \( 5 + 3 = 8 \).
Answer: \( 8 \)
---
Problem 9: \( (6 + 4) \div (5 \times 2) \)
- Solve the brackets:
- \( 6 + 4 = 10 \)
- \( 5 \times 2 = 10 \)
- Divide: \( 10 \div 10 = 1 \).
Answer: \( 1 \)
---
Problem 10: \( 42 \div 3 - 12 \)
- First, divide: \( 42 \div 3 = 14 \).
- Then, subtract: \( 14 - 12 = 2 \).
Answer: \( 2 \)
---
Problem 11: \( (11 + 5) \div 4 + (-4) \)
- Solve the brackets: \( 11 + 5 = 16 \).
- Divide: \( 16 \div 4 = 4 \).
- Add: \( 4 + (-4) = 0 \).
Answer: \( 0 \)
---
Problem 12: \( -1 - (-26) \)
- Subtracting a negative is the same as adding.
- \( -1 - (-26) = -1 + 26 = 25 \).
Answer: \( 25 \)
---
Problem 13: \( (12 + 7) - (2 - 23) \)
- Solve the brackets:
- \( 12 + 7 = 19 \)
- \( 2 - 23 = -21 \)
- Subtract: \( 19 - (-21) = 19 + 21 = 40 \).
Answer: \( 40 \)
---
Problem 14: \( 20 - 2 \times 11 \)
- First, multiply: \( 2 \times 11 = 22 \).
- Then, subtract: \( 20 - 22 = -2 \).
Answer: \( -2 \)
---
Problem 15: \( 8 \times 5 + (4 - 14) \)
- Solve the brackets: \( 4 - 14 = -10 \).
- Multiply: \( 8 \times 5 = 40 \).
- Add: \( 40 + (-10) = 40 - 10 = 30 \).
Answer: \( 30 \)
---
Problem 16: \( 25 - (-37) \)
- Subtracting a negative is the same as adding.
- \( 25 - (-37) = 25 + 37 = 62 \).
Answer: \( 62 \)
---
Problem 17: \( 6 - (-10) \)
- Subtracting a negative is the same as adding.
- \( 6 - (-10) = 6 + 10 = 16 \).
Answer: \( 16 \)
---
Problem 18: \( 24 \div (-2) - (-4) \times 11 \)
- First, divide: \( 24 \div (-2) = -12 \).
- Next, multiply: \( (-4) \times 11 = -44 \).
- Subtract: \( -12 - (-44) = -12 + 44 = 32 \).
Answer: \( 32 \)
---
Problem 19: \( (10 - 17) - (25 - 15) \)
- Solve the brackets:
- \( 10 - 17 = -7 \)
- \( 25 - 15 = 10 \)
- Subtract: \( -7 - 10 = -17 \).
Answer: \( -17 \)
---
Problem 20: \( 5 \times (4 - 7) \div 15 \)
- Solve the brackets: \( 4 - 7 = -3 \).
- Multiply: \( 5 \times (-3) = -15 \).
- Divide: \( -15 \div 15 = -1 \).
Answer: \( -1 \)
---
Final Answers:
1. \( 12 \)
2. \( -13 \)
3. \( -4 \)
4. \( 0 \)
5. \( 16 \)
6. \( 5 \)
7. \( 24 \)
8. \( 8 \)
9. \( 1 \)
10. \( 2 \)
11. \( 0 \)
12. \( 25 \)
13. \( 40 \)
14. \( -2 \)
15. \( 30 \)
16. \( 62 \)
17. \( 16 \)
18. \( 32 \)
19. \( -17 \)
20. \( -1 \)
Boxed Final Answer:
\[
\boxed{
\begin{array}{c|c}
\text{Question} & \text{Answer} \\
\hline
1. & 12 \\
2. & -13 \\
3. & -4 \\
4. & 0 \\
5. & 16 \\
6. & 5 \\
7. & 24 \\
8. & 8 \\
9. & 1 \\
10. & 2 \\
11. & 0 \\
12. & 25 \\
13. & 40 \\
14. & -2 \\
15. & 30 \\
16. & 62 \\
17. & 16 \\
18. & 32 \\
19. & -17 \\
20. & -1 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of bodmas worksheet.