Math Hacks : Tricks that Every Student Should Know
Here are complete math hacks, we will solve all your problems and make learning math faster, easier, and more enjoyable.
Mathematics can feel tricky but it doesn’t have to be! With the right hacks, smart shortcuts, and clever formulas, any student can solve problems faster, score higher, and actually enjoy math.
Whether you’re preparing for school exams, competitive tests, or just want to improve your number skills, this complete guide will give you everything you need to study math smarter, not harder.
📊 Why Math Hacks Matter
“Mathematics is not about numbers, equations, or algorithms — it’s about understanding.” – William Paul Thurston
Math hacks are simple techniques that help you:
- ✅ Solve problems faster
- ✅ Avoid silly mistakes
- ✅ Memorize formulas easily
- ✅ Build confidence in exams
- ✅ Save time during timed tests
✨ 1. Mental Math Shortcuts
These are quick calculation tricks to do math in your head — no calculator needed!
➕ Addition Tricks
- Breaking Numbers: Add 47 + 36 → (40 + 30) + (7 + 6) = 70 + 13 = 83
- Round and Adjust: 59 + 23 → 60 + 23 – 1 = 82
➖ Subtraction Tricks
- Add the Same Number: 1000 – 674 → Add 26 to both → 1026 – 700 = 326
- Round Then Correct: 753 – 498 → 753 – 500 + 2 = 255
✖️ Multiplication Hacks
- Multiply by 5: Half the number × 10
- Example: 36 × 5 → (36 ÷ 2) × 10 = 18 × 10 = 180
- Multiply by 11: Add digits and place in middle
- Example: 35 × 11 → 3 (3+5) 5 → 385
➗ Division Tricks
- Divisible by 2: Last digit even
- Divisible by 3: Sum of digits divisible by 3
- Divisible by 5: Ends in 0 or 5
- Divisible by 11: Difference of sums of alternate digits divisible by 11
🧮 2. Must-Know Formulas (Quick Reference Table)
| Topic | Formula | Example |
|---|---|---|
| Area of Rectangle | A = l × w | 5 × 3 = 15 |
| Area of Triangle | A = ½ × b × h | ½ × 6 × 4 = 12 |
| Area of Circle | A = πr² | π × 3² = 28.27 |
| Perimeter of Circle | P = 2πr | 2π × 3 = 18.85 |
| Pythagoras Theorem | a² + b² = c² | 3² + 4² = 5² |
| Quadratic Formula | x = (-b ± √(b² – 4ac)) / 2a | Solve ax² + bx + c = 0 |
| Simple Interest | SI = (P × R × T) / 100 | 1000 × 5 × 2 / 100 = 100 |
| Compound Interest | A = P(1 + R/100)ᵀ | 1000(1 + 5/100)² |
💡 Tip: Write these formulas on flashcards and revise them weekly.
3. Algebra Tricks
- Square a Two-Digit Number Ending with 5:
Example: 35² → 3 × (3 + 1) = 12 → Add 25 → 1225 - (a + b)² Formula:
(a + b)² = a² + 2ab + b²
→ Use it to quickly expand algebraic expressions. - (a – b)² Formula:
(a – b)² = a² – 2ab + b² - (a + b)(a – b):
= a² – b²
4. Speed Tricks for Exams
Use the “Elimination Rule”:
In MCQs, eliminate obviously wrong answers first — increases your chance even if you guess.
Check Units First:
Always check if the answer makes sense dimensionally before finalizing.
Visualize Problems:
For geometry and algebra, sketching a small diagram helps you understand and solve faster.
5. Memory Hacks for Formulas
- Use Mnemonics:
For example, “SOH CAH TOA” to remember trigonometry ratios. - Practice with Flashcards:
Write one formula per card and quiz yourself. - Teach Someone Else:
Explaining helps you remember formulas better.
Quick Daily Practice Tips
- Solve 5 mental math problems before breakfast.
- Revise 2 formulas every night before sleeping.
- Use online quizzes or apps (like Photomath or Khan Academy).
- Practice timed mock tests once a week.
Common Questions Asked by the Students
Q: How can I improve my math speed?
Practice mental math daily and learn shortcuts like multiplying by 11 or squaring quickly.
Q: How do I memorize formulas easily?
Use flashcards, mnemonics, and teach the formula to a friend. Repetition is key to learning.
Q: Are math hacks helpful in exams?
Absolutely! Maths Hacks save time, reduce errors, and boost confidence during timed tests.
