Let's solve each problem step by step using the
BODMAS (or
PEMDAS) rule:
BODMAS Rule:
-
Brackets
-
Orders (i.e., powers and roots, etc.)
-
Division and
Multiplication (from left to right)
-
Addition and
Subtraction (from left to right)
---
Left Column:
1.
12 × (4 + 12)
→ First, solve inside brackets: 4 + 12 = 16
→ Then multiply: 12 × 16 =
192
2.
72 - (3 × 15)
→ Brackets first: 3 × 15 = 45
→ Then subtract: 72 - 45 =
27
3.
23 - 4 × 2
→ Multiplication first: 4 × 2 = 8
→ Then subtract: 23 - 8 =
15
4.
12 - (4 × 2)
→ Brackets: 4 × 2 = 8
→ Subtract: 12 - 8 =
4
5.
12 × (8 - 7)
→ Brackets: 8 - 7 = 1
→ Multiply: 12 × 1 =
12
6.
72 ÷ (3 + 15)
→ Brackets: 3 + 15 = 18
→ Divide: 72 ÷ 18 =
4
7.
23 × 4 ÷ 2
→ Left to right for × and ÷:
23 × 4 = 92
92 ÷ 2 =
46
8.
12 × (7 + 2)
→ Brackets: 7 + 2 = 9
→ Multiply: 12 × 9 =
108
9.
12 + 8 ÷ 2
→ Division first: 8 ÷ 2 = 4
→ Add: 12 + 4 =
16
10.
72 - 4 × 15
→ Multiplication first: 4 × 15 = 60
→ Subtract: 72 - 60 =
12
---
Right Column:
1.
23 + 8 ÷ 2
→ Division first: 8 ÷ 2 = 4
→ Add: 23 + 4 =
27
2.
(10 + 16) ÷ 2
→ Brackets: 10 + 16 = 26
→ Divide: 26 ÷ 2 =
13
3.
12 × (4 ÷ 2)
→ Brackets: 4 ÷ 2 = 2
→ Multiply: 12 × 2 =
24
4.
18 + 9 - 13
→ Left to right:
18 + 9 = 27
27 - 13 =
14
5.
10 × 3 - 22
→ Multiplication: 10 × 3 = 30
→ Subtract: 30 - 22 =
8
6.
24 ÷ (4 + 2)
→ Brackets: 4 + 2 = 6
→ Divide: 24 ÷ 6 =
4
7.
18 ÷ 9 - 2
→ Division: 18 ÷ 9 = 2
→ Subtract: 2 - 2 =
0
8.
10 - 3 × 2
→ Multiplication: 3 × 2 = 6
→ Subtract: 10 - 6 =
4
9.
24 × (4 ÷ 2)
→ Brackets: 4 ÷ 2 = 2
→ Multiply: 24 × 2 =
48
10.
75 × (4 - 2)
→ Brackets: 4 - 2 = 2
→ Multiply: 75 × 2 =
150
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 12 × (4 + 12) = |
192 |
| 72 - (3 × 15) = |
27 |
| 23 - 4 × 2 = |
15 |
| 12 - (4 × 2) = |
4 |
| 12 × (8 - 7) = |
12 |
| 72 ÷ (3 + 15) = |
4 |
| 23 × 4 ÷ 2 = |
46 |
| 12 × (7 + 2) = |
108 |
| 12 + 8 ÷ 2 = |
16 |
| 72 - 4 × 15 = |
12 |
| Problem | Answer |
|--------|--------|
| 23 + 8 ÷ 2 = |
27 |
| (10 + 16) ÷ 2 = |
13 |
| 12 × (4 ÷ 2) = |
24 |
| 18 + 9 - 13 = |
14 |
| 10 × 3 - 22 = |
8 |
| 24 ÷ (4 + 2) = |
4 |
| 18 ÷ 9 - 2 = |
0 |
| 10 - 3 × 2 = |
4 |
| 24 × (4 ÷ 2) = |
48 |
| 75 × (4 - 2) = |
150 |
---
✔ All problems solved using
BODMAS/PEMDAS rules.
Let me know if you'd like this formatted as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of bodmas worksheet.
