Back to Home
Back to Blog

Ultimate Multiplication Hacks

Topic: Speed Math Updated: All 8 Tricks

Why calculate like a student when you can calculate like a calculator? In competitive exams, the Simplification and Approximation sections test one thing above all else: how fast your brain can multiply. Candidates who rely on traditional long multiplication are at a systematic disadvantage — they might know the same concepts as toppers, but they're solving each question in 45-60 seconds while toppers are done in 15-20.

The 8 multiplication shortcuts below are carefully selected based on IBPS PO, SBI Clerk, and SSC CGL question patterns from 2020-2024. Each trick appears directly in exam questions multiple times every year. Master them, and you'll watch your Quantitative Aptitude marks change dramatically.

1. Magic of 11 — Multiply Any Number by 11 in Seconds

This is the most elegant mental math trick for 2-digit numbers. Works 100% of the time in under 3 seconds.

Rule: "Write the outer digits, insert the sum of digits in the middle"
Example: 24 × 11
1. Write the ends: 2 _ 4
2. Sum: 2+4 = 6 → insert in middle → 264
When sum > 9: Example 78 × 11
1. Write ends: 7 _ 8
2. Sum: 7+8 = 15 → middle digit is 5, carry 1 to 7 → 858

Exam Application: "Find 63 × 11" is directly tested in Simplification. Also useful in DI calculation chains.

2. Unit Sum = 10, Same Tens Digit — Instant Product!

This unlocks instant multiplication for pairs like 43×47, 61×69, 72×78. Fastest trick for these specific number combinations.

Condition: Same tens digit AND unit digits sum to 10.

Example: 72 × 78 (7 same, 2+8=10)
1. Units: 2 × 8 = 16 (always 2 digits)
2. Tens: 7 × (7+1) = 7 × 8 = 56
👉 Answer: 5616
Practice: 43×47, 61×69, 84×86
43×47: 4×5=20, 3×7=21 → 2021
61×69: 6×7=42, 1×9=09 → 4209
84×86: 8×9=72, 4×6=24 → 7224

3. Multiply by 5, 25, 50 — Use Division Instead!

These numbers are halves of powers of 10. Use division to avoid traditional multiplication entirely.

× 5: Halve the number, add a zero
48 × 5: Half of 48 = 24. Add 0 → 240
73 × 5: Half of 73 = 36.5. Add 0 → 365
× 25: Divide by 4, add 00
36 × 25: 36÷4 = 9. Add 00 → 900
48 × 25: 48÷4 = 12. Add 00 → 1200
× 50: Halve the number, add 00
48 × 50: Half of 48 = 24. Add 00 → 2400

Exam Tip: In Approximation questions like "348 × 49.87 ≈ ?", round 49.87 ≈ 50, then use ×50 trick: 348 × 50 = 17,400.

4. Base 100 Method — Numbers Near 100

Nikhilam Sutra from Vedic Math. Fastest when both numbers are within ±15 of 100.

Example: 96 × 93
1. Deviations from 100: 96→(-4), 93→(-7)
2. Cross subtract: 96-7 = 89
3. Multiply deviations: 4 × 7 = 28
👉 Answer: 8928
Example: 107 × 103 (above 100)
Deviations: +7 and +3. Cross add: 107+3 = 110. Product: 7×3=21.
👉 Answer: 11021

5. Universal 2-Digit × 2-Digit — The I-X-I (Criss-Cross) Method

Works for ANY two 2-digit numbers. This is the go-to when no special trick applies.

Example: 21 × 32
1. Right (I): 1×2 = 2
2. Cross (X): (2×2)+(1×3) = 4+3 = 7
3. Left (I): 2×3 = 6
👉 Read left to right: 672
Example with carry: 37 × 48
Right: 7×8 = 56 → write 6, carry 5
Cross: (3×8)+(7×4) = 24+28 = 52+5 = 57 → write 7, carry 5
Left: 3×4 = 12+5 = 17
👉 Answer: 1776

6. Multiply by 99, 999 — The Complement Method

Logic: n × 99 = n × (100-1) = 100n - n. Eliminate the special-trick confusion.

Example: 43 × 99
43 × 100 = 4300. Then 4300 - 43 = 4257
Example: 58 × 999
58 × 1000 = 58000. Then 58000 - 58 = 57942

7. Split & Merge — Most Practical General Method

Split the multiplier into convenient parts when no other trick applies.

Example: 24 × 13 = 24 × (10+3)
24 × 10 = 240. 24 × 3 = 72. Total: 240 + 72 = 312
Example: 35 × 17 = 35 × (20-3)
35 × 20 = 700. 35 × 3 = 105. Total: 700 - 105 = 595

8. Double & Half Method — For Decimal Multipliers

Eliminates decimals by doubling one factor and halving the other.

Example: 16 × 3.5
Double 3.5 → 7. Half 16 → 8. Then 8 × 7 = 56 ✅ (No decimals!)
Example: 44 × 7.5
Double 7.5 → 15. Half 44 → 22. Then 22 × 15 = 330

Quick Decision Guide: Which Trick for Which Question?

Common Mistakes & How to Avoid Them

FAQ

Q: Which 3 tricks give the most return on investment for IBPS Prelims?
A: Tricks 3 (×5/25/50), 5 (Criss-cross), and 7 (Split & Merge) together cover 90% of Simplification calculations. Master these first, then add the others.

Q: How do I build the reflex to choose the right trick quickly?
A: Deliberate practice with timing. Use Ikkish Prep's Simplification Quiz timed mode. Start slow, consciously apply tricks. After 200+ questions, the right trick selection becomes automatic — faster than your conscious mind can "decide."

Practice makes perfect! Start your Simplification Quiz on Ikkish Prep now and apply one new trick per day until all 8 are instinctive reflexes.

Practice makes perfect!

Start Practice