BODMAS Cheat Sheet for Quick Calculations

 

🧮 BODMAS Cheat Sheet for Quick Calculations

BODMAS = Brackets, Orders (powers, roots), Division, Multiplication, Addition, Subtraction

Step-by-Step Rules

  1. Brackets first – solve anything inside ( )

  2. Orders next – powers, squares, square roots

  3. Division & Multiplication – from left to right

  4. Addition & Subtraction – from left to right

Tip: Multiplication/division or addition/subtraction are done in the order they appear, not always multiplication first.

Quick Examples

1️⃣ 15 - 15 ÷ 15 × 6

  • Division: 15 ÷ 15 = 1

  • Multiplication: 1 × 6 = 6

  • Subtraction: 15 - 6 = 9 ✅

2️⃣ 50 ÷ 5 × 2 + 3

  • Division: 50 ÷ 5 = 10

  • Multiplication: 10 × 2 = 20

  • Addition: 20 + 3 = 23 ✅

3️⃣ 100 - 20 × 3 ÷ 5

  • Multiplication: 20 × 3 = 60

  • Division: 60 ÷ 5 = 12

  • Subtraction: 100 - 12 = 88 ✅

4️⃣ (8 + 2) × 5 ÷ 2

  • Brackets: 8 + 2 = 10

  • Multiplication: 10 × 5 = 50

  • Division: 50 ÷ 2 = 25 ✅

5️⃣ 45 ÷ 5 + 6 × 2 - 3

  • Division: 45 ÷ 5 = 9

  • Multiplication: 6 × 2 = 12

  • Addition/Subtraction: 9 + 12 - 3 = 18 ✅

💡 Quick Tips for Speed

  • Always scan for brackets first.

  • Do division/multiplication from left to right, don’t do all multiplication first.

  • Then handle addition/subtraction from left to right.

  • For exam speed: write intermediate results rather than trying to do it all in your head.

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