Maths - Gr 8 Bodmas Worksheet • Teacha! - Free Printable
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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!
Let's solve each question in the BODMAS worksheet step by step, following the BODMAS rule:
> Brackets
> Orders (powers and roots)
> Division
> Multiplication
> Addition
> Subtraction
We go from left to right for operations of equal precedence (like division and multiplication, or addition and subtraction).
---
Subtracting a negative is like adding:
= 7 + 5 = 12
✔ Answer: 12
---
Multiplication first:
3 × 15 = 45
Then: 32 – 45 = –13
✔ Answer: –13
---
Division first:
9 ÷ 3 = 3
Then: 3 – 7 = –4
✔ Answer: –4
---
Brackets first:
10 + 6 = 16
Then: 16 ÷ 4 = 4
Then: 4 – 4 = 0
✔ Answer: 0
---
Brackets first:
5 – 3 = 2
Then: 8 × 2 = 16
✔ Answer: 16
---
Simple addition:
–15 + 20 = 5
✔ Answer: 5
---
Left to right:
4 × 2 = 8
8 × 3 = 24
✔ Answer: 24
---
Brackets first:
8 – 5 = 3
Then: 5 + 3 = 8
✔ Answer: 8
---
Brackets first:
6 + 4 = 10
5 × 2 = 10
Then: 10 ÷ 10 = 1
✔ Answer: 1
---
Division first:
42 ÷ 3 = 14
Then: 14 – 12 = 2
✔ Answer: 2
---
Brackets first:
11 + 5 = 16
Then: 16 ÷ 4 = 4
Then: 4 + (–4) = 4 – 4 = 0
✔ Answer: 0
---
Subtracting a negative:
= –1 + 26 = 25
✔ Answer: 25
---
Brackets first:
12 + 7 = 19
2 – 23 = –21
Then: 19 – (–21) = 19 + 21 = 40
✔ Answer: 40
---
Multiplication first:
2 × 11 = 22
Then: 20 – 22 = –2
✔ Answer: –2
---
Brackets first:
4 – 14 = –10
Then: 8 × 5 = 40
Then: 40 + (–10) = 40 – 10 = 30
✔ Answer: 30
---
Subtracting a negative:
= 25 + 37 = 62
✔ Answer: 62
---
Subtracting a negative:
= 6 + 10 = 16
✔ Answer: 16
---
Division and multiplication first (left to right):
24 ÷ (–2) = –12
(–4) × 11 = –44
Now: –12 – (–44) = –12 + 44 = 32
✔ Answer: 32
---
Brackets first:
10 – 17 = –7
25 – 15 = 10
Then: –7 – 10 = –17
✔ Answer: –17
---
Brackets first:
4 – 7 = –3
Then: 5 × (–3) = –15
Then: –15 ÷ 15 = –1
✔ Answer: –1
---
| QUESTION | ANSWER |
|--------|--------|
| 1. 7 – (–5) | 12 |
| 2. 32 – 3 × 15 | –13 |
| 3. 9 ÷ 3 – 7 | –4 |
| 4. (10 + 6) ÷ 4 – 4 | 0 |
| 5. 8 × (5 – 3) | 16 |
| 6. –15 + 20 | 5 |
| 7. 4 × 2 × 3 | 24 |
| 8. 5 + (8 – 5) | 8 |
| 9. (6 + 4) ÷ (5 × 2) | 1 |
| 10. 42 ÷ 3 – 12 | 2 |
| 11. (11 + 5) ÷ 4 + (–4) | 0 |
| 12. –1 – (–26) | 25 |
| 13. (12 + 7) – (2 – 23) | 40 |
| 14. 20 – 2 × 11 | –2 |
| 15. 8 × 5 + (4 – 14) | 30 |
| 16. 25 – (–37) | 62 |
| 17. 6 – (–10) | 16 |
| 18. 24 ÷ (–2) – (–4) × 11 | 32 |
| 19. (10 – 17) – (25 – 15) | –17 |
| 20. 5 × (4 – 7) ÷ 15 | –1 |
Let me know if you'd like this as a printable PDF or with explanations in another format!
> Brackets
> Orders (powers and roots)
> Division
> Multiplication
> Addition
> Subtraction
We go from left to right for operations of equal precedence (like division and multiplication, or addition and subtraction).
---
1. 7 – (–5)
Subtracting a negative is like adding:
= 7 + 5 = 12
✔ Answer: 12
---
2. 32 – 3 × 15
Multiplication first:
3 × 15 = 45
Then: 32 – 45 = –13
✔ Answer: –13
---
3. 9 ÷ 3 – 7
Division first:
9 ÷ 3 = 3
Then: 3 – 7 = –4
✔ Answer: –4
---
4. (10 + 6) ÷ 4 – 4
Brackets first:
10 + 6 = 16
Then: 16 ÷ 4 = 4
Then: 4 – 4 = 0
✔ Answer: 0
---
5. 8 × (5 – 3)
Brackets first:
5 – 3 = 2
Then: 8 × 2 = 16
✔ Answer: 16
---
6. –15 + 20
Simple addition:
–15 + 20 = 5
✔ Answer: 5
---
7. 4 × 2 × 3
Left to right:
4 × 2 = 8
8 × 3 = 24
✔ Answer: 24
---
8. 5 + (8 – 5)
Brackets first:
8 – 5 = 3
Then: 5 + 3 = 8
✔ Answer: 8
---
9. (6 + 4) ÷ (5 × 2)
Brackets first:
6 + 4 = 10
5 × 2 = 10
Then: 10 ÷ 10 = 1
✔ Answer: 1
---
10. 42 ÷ 3 – 12
Division first:
42 ÷ 3 = 14
Then: 14 – 12 = 2
✔ Answer: 2
---
11. (11 + 5) ÷ 4 + (–4)
Brackets first:
11 + 5 = 16
Then: 16 ÷ 4 = 4
Then: 4 + (–4) = 4 – 4 = 0
✔ Answer: 0
---
12. –1 – (–26)
Subtracting a negative:
= –1 + 26 = 25
✔ Answer: 25
---
13. (12 + 7) – (2 – 23)
Brackets first:
12 + 7 = 19
2 – 23 = –21
Then: 19 – (–21) = 19 + 21 = 40
✔ Answer: 40
---
14. 20 – 2 × 11
Multiplication first:
2 × 11 = 22
Then: 20 – 22 = –2
✔ Answer: –2
---
15. 8 × 5 + (4 – 14)
Brackets first:
4 – 14 = –10
Then: 8 × 5 = 40
Then: 40 + (–10) = 40 – 10 = 30
✔ Answer: 30
---
16. 25 – (–37)
Subtracting a negative:
= 25 + 37 = 62
✔ Answer: 62
---
17. 6 – (–10)
Subtracting a negative:
= 6 + 10 = 16
✔ Answer: 16
---
18. 24 ÷ (–2) – (–4) × 11
Division and multiplication first (left to right):
24 ÷ (–2) = –12
(–4) × 11 = –44
Now: –12 – (–44) = –12 + 44 = 32
✔ Answer: 32
---
19. (10 – 17) – (25 – 15)
Brackets first:
10 – 17 = –7
25 – 15 = 10
Then: –7 – 10 = –17
✔ Answer: –17
---
20. 5 × (4 – 7) ÷ 15
Brackets first:
4 – 7 = –3
Then: 5 × (–3) = –15
Then: –15 ÷ 15 = –1
✔ Answer: –1
---
✔ Final Answers Table:
| QUESTION | ANSWER |
|--------|--------|
| 1. 7 – (–5) | 12 |
| 2. 32 – 3 × 15 | –13 |
| 3. 9 ÷ 3 – 7 | –4 |
| 4. (10 + 6) ÷ 4 – 4 | 0 |
| 5. 8 × (5 – 3) | 16 |
| 6. –15 + 20 | 5 |
| 7. 4 × 2 × 3 | 24 |
| 8. 5 + (8 – 5) | 8 |
| 9. (6 + 4) ÷ (5 × 2) | 1 |
| 10. 42 ÷ 3 – 12 | 2 |
| 11. (11 + 5) ÷ 4 + (–4) | 0 |
| 12. –1 – (–26) | 25 |
| 13. (12 + 7) – (2 – 23) | 40 |
| 14. 20 – 2 × 11 | –2 |
| 15. 8 × 5 + (4 – 14) | 30 |
| 16. 25 – (–37) | 62 |
| 17. 6 – (–10) | 16 |
| 18. 24 ÷ (–2) – (–4) × 11 | 32 |
| 19. (10 – 17) – (25 – 15) | –17 |
| 20. 5 × (4 – 7) ÷ 15 | –1 |
Let me know if you'd like this as a printable PDF or with explanations in another format!
Parent Tip: Review the logic above to help your child master the concept of bod maths worksheet.
