Math Challenge: Can You Solve This Without a Calculator?
Test your brain! Solve 66 ÷ 11 × 6 − 9 step by step without a calculator and sharpen your mental math skills.
The Problem
Here’s a simple-looking math problem that can trick you if you rush:
66 ÷ 11 × 6 − 9 = ?
Many people instinctively plug it into a calculator—but solving it in your head trains your mind and builds confidence.
Step-by-Step Mental Approach
Step 1: Remember Order of Operations
- Parentheses first
- Exponents
- Multiplication and Division (left to right)
- Addition and Subtraction (left to right)
This is often remembered as PEMDAS.
Step 2: Division Comes Before Multiplication?
Actually, multiplication and division are equal priority—you solve from left to right.
- First operation: 66 ÷ 11
66÷11=666 ÷ 11 = 6
Step 3: Multiply Next
- Next: 6 × 6
6×6=366 × 6 = 36
Step 4: Subtract
- Last: 36 − 9
36−9=2736 − 9 = 27
✅ The Answer
27
Why Mental Math Helps
- Builds confidence in handling numbers
- Improves problem-solving skills
- Trains you to notice patterns and shortcuts
Quick Tip for Similar Problems
- Always follow left-to-right for multiplication/division
- Simplify in small, manageable steps
- Double-check by estimating roughly before subtracting
Try This Next
Test yourself:
- 72 ÷ 8 × 5 − 6 = ?
- 144 ÷ 12 × 3 − 15 = ?
Challenge your brain—no calculator allowed!
Mental math is simple if you remember order of operations and tackle it step by step.
Next time someone asks you 66 ÷ 11 × 6 − 9, you’ll know instantly: 27.