Class 7 Maths can feel tough if you rely only on long methods. But with the right short tricks, many problems become quicker and easier. These tricks help save time in exams, reduce silly mistakes, and build confidence.
This guide covers simple and exam-friendly maths short tricks for Class 7 students, explained in a clear way.
Why Short Tricks Are Important in Class 7 Maths
Class 7 introduces new topics like algebra, percentages, and integers. Speed and accuracy matter more now.
Short tricks help you:
- Solve questions faster
- Avoid long calculations
- Improve mental maths
- Manage exam time better
They don’t replace concepts. They support them.
1. Integer Addition & Subtraction Trick
Same Signs
If signs are the same, add and keep the sign.
Example:
- (–7) + (–5) = –12
Different Signs
If signs are different, subtract and keep the bigger number’s sign.
Example:
- (–9) + 4 = –5
Think: bigger number wins.
2. Integer Multiplication Trick
Just remember the sign rule:
- Same signs → Positive
- Different signs → Negative
Examples:
- (–6) × (–3) = +18
- (–4) × 5 = –20
No confusion. Just follow the rule.
3. Fast Square Trick (Numbers Ending with 5)
If a number ends with 5, squaring is easy.
Method:
- Ignore 5
- Multiply the remaining number by the next number
- Add 25 at the end
Example:
- 25²
→ 2 × 3 = 6
→ Answer = 625
4. Percentage to Fraction Trick
To convert percentage to fraction:
- Remove %
- Divide by 100
- Simplify
Examples:
- 25% = 25/100 = 1/4
- 50% = 1/2
- 75% = 3/4
These come up often in exams.
5. Fraction Comparison Shortcut
When denominators are same, compare numerators only.
Example:
- 3/7 and 5/7 → 5/7 is bigger
When denominators are different:
- Cross multiply quickly
Example:
- 2/3 and 3/5
→ 2 × 5 = 10
→ 3 × 3 = 9
→ 2/3 is bigger
6. Algebra Like-Terms Trick
Only like terms can be added or subtracted.
Example:
- 3x + 5x = 8x
- 7a – 2a = 5a
But:
- 3x + 4y ❌ (not possible)
Look at variables first. Numbers come later.
7. Simple Linear Equation Trick
To solve equations fast:
- Move numbers to one side
- Move variables to the other
- Change signs while moving
Example:
- 3x + 5 = 20
→ 3x = 20 – 5
→ 3x = 15
→ x = 5
Clean and clear.
8. Ratio Simplification Trick
Divide both terms by the largest common factor.
Example:
- 12 : 18
→ Divide by 6
→ 2 : 3
Always simplify ratios unless told not to.
9. Profit & Loss Shortcut
Profit
Profit = Selling Price – Cost Price
Loss
Loss = Cost Price – Selling Price
Profit % Trick
Profit % = (Profit / Cost Price) × 100
Learn this format. Don’t mix formulas.
10. Average Trick
Average = Total ÷ Number of values
Shortcut idea:
If numbers are close, pick a middle value and adjust.
Example:
- 8, 9, 10, 11, 12
Middle value = 10
Average = 10
Works well in MCQs.
11. Divisibility Tricks (Very Important)
- Divisible by 2 → Last digit even
- Divisible by 3 → Sum of digits divisible by 3
- Divisible by 5 → Last digit 0 or 5
- Divisible by 9 → Sum of digits divisible by 9
Fast checks save time.
12. Area Formula Memory Trick
- Rectangle → L × B
- Square → Side²
- Triangle → ½ × Base × Height
Write formulas once before exam starts. It helps recall.
Exam Tips for Using Short Tricks
- Use tricks only when concepts are clear
- Show steps in long-answer questions
- Practice tricks daily for speed
- Don’t skip rough work completely
Short tricks + clear basics = high scores.
Final Thoughts
Class 7 Maths becomes much easier when you mix understanding with smart shortcuts. These short tricks help you solve faster, think clearly, and feel confident during exams.