Speed Maths Shortcuts for IBPS Clerk Exams, Quick Tricks to Solve Faster

When it comes to the IBPS Clerk exam, three things matter the most: speed, accuracy, and time management. Among all the sections, Reasoning, English, and Quantitative Aptitude, many aspirants find Quantitative Aptitude the toughest. But here’s the good news: you don’t need to be a math genius to crack it. What you need is Speed Maths, i.e., shortcuts, mental calculation techniques, and Vedic Maths tricks that help you solve faster without relying too much on pen and paper. In this article, we are providing the shortcuts and examples to help you master Speed Maths for the IBPS Clerk exam.

Why Speed ​​Math Matters in the IBPS Clerk Exam

The Quantitative Aptitude section in the IBPS Clerk Preliminary Exam requires 35 questions to be solved in just 20 minutes. This means you get less than 35 seconds for each question. Without shortcuts, spending even 1 minute on a problem can waste your time and reduce your attempts.

So, Speed Maths is not just an option; it’s the backbone of your exam strategy.

IBPS Clerk Free Topic Wise Prcatice Set

In this section, we have provided IBPS Clerk free Topic set links for Reasoning, Quantitative Aptitude and English Language to help candidates strengthen their preparation. These topic-wise practice tests will help you focus on different sections, improve accuracy and increase speed. Candidates can attempt these tests regularly to analyse their performance and prepare for the exam.

Core Speed Maths Topics for IBPS Clerk

Before you jump into shortcuts and tricks, it’s important to understand where speed math can truly make a difference. Not every question in the exam requires shortcuts; some are straightforward. But for time-consuming areas, speed math can prove to be helpful.

Here are some key topics where speed math techniques prove to be most useful in the IBPS Clerk exam:

Simplification and Approximation – Quick calculations of percentages, square roots, cubes, and fractions are essential. Vedic math tricks and mental shortcuts can help you solve these in just a few seconds.

Number Series – When you’re quick at addition, subtraction, multiplication, and division, patterns become easier to understand.

Data Interpretation (DI) – Whether it’s bar graphs, line graphs, or tables, you’ll need to calculate percentages and ratios quickly to pass the DI within the time limit.

Arithmetic Word Problems – Topics like Profit and Loss, Simple Interest and Compound Interest, Time and Work, and Mixture and Allegation require quick mental math to avoid lengthy calculations.

Quadratic Equations – Shortcut methods for squaring and factoring can save a lot of time in solving these.

Percentages, Ratios and Proportions – The backbone of almost every Quant section. Quick methods for percentage change, ratio conversions, and fraction to percentage conversions are essential.

By focusing on these topics and learning the right shortcuts, you can cut your calculation time in half and improve your chances in the Quantitative Aptitude section.

Multiplication Shortcuts

Multiplication shortcuts can save time and make mental math easier. Here are some effective techniques for multiplying numbers quickly, with a focus on simplicity and practical application:

Vedic Math Technique – Multiply by 11

• Method: Add digits and place the sum between them
• Example: 52 × 11 = 5(5+2)2 = 572

Two-digit Numbers Between 11-19

• Formula: (First number + last digit of second) × 10 + (product of last digits)
• Example: 13 × 14 = (13+4) × 10 + (3×4) = 170 + 12 = 182

Numbers Ending in 5

• Method: First digit × (First digit + 1), then add 25
• Example: 65² = 6×7 = 42, then 4225

Near 100 Multiplication

• Formula: For numbers close to 100
• Example: 103 × 96 = (103-4) × 100 + (-4×3) = 9900-12 = 9888

Division Shortcuts

Division shortcuts can make calculations faster and easier. Below are practical techniques to simplify division, focusing on common patterns and scenarios. Each method includes an explanation and example for clarity.

Division by 5

• Method: Multiply by 2, then move the decimal one place left
• Example: 246 ÷ 5 = 246 × 2 = 492 → 49.2

Division by 25

• Method: Multiply by 4, then move the decimal two places left
• Example: 350 ÷ 25 = 350 × 4 = 1400 → 14.00

Division by 9

• Rule: Sum of digits divisible by 9
• Quick Check: If digit sum = 9, 18, 27, etc., then divisible by 9

Square Shortcuts

Square shortcuts help you calculate squares quickly using smart tricks like the base method, the difference of squares, and numbers ending with 5.

Numbers Ending in 5

• Formula: n² = [First digit × (First digit + 1)] + 25
• Example: 25² = 2×3 = 6, then 625

Base 50 Method (50-70)

• Formula: 25 + extra from base + (extra)²
• Example: 59² = 25 + 9 + 81 = 34_81 = 3481

Base 100 Method (90-110)

• Formula: (Number + difference) × 100 + (difference)²
• Example: 97² = (97-3) × 100 + 9 = 9409

Consecutive Numbers

• Formula: n² = (n-1)(n+1) + 1
• Example: 50² = 49×51 + 1 = 2499 + 1 = 2500

Cube Shortcuts

Cube shortcuts help you quickly calculate cubes of numbers using simple tricks like algebraic identities and last-digit patterns. These methods save time in exams and make solving cube-based questions much easier.

Numbers Ending in 1

• Pattern: Last digit always 1
• Example: 21³ ends in 1

Numbers Ending in 5

• Pattern: Always ends in 125
• Example: 15³ = 3375, 25³ = 15625

Base 10 Method

• Formula: For numbers near 10
• Example: 13³ = 10³ + 3×10²×3 + 3×10×9 + 27 = 2197

Percentage Conversion Tricks

Percentage Conversion Tricks make it easy to change percentages into fractions and decimals quickly. For example, 50% = 1/2 = 0.5, 25% = 1/4 = 0.25, and 75% = 3/4 = 0.75. Remembering these common conversions helps solve percentage questions faster in exams.

Common Fraction to Percentage

• 1/2 = 50%, 1/3 = 33.33%, 1/4 = 25%
• 1/5 = 20%, 1/6 = 16.67%, 1/8 = 12.5%
• 1/10 = 10%, 1/20 = 5%

Quick Percentage Calculation

• Method: Break into parts (10%, 1%, etc.)
• Example: 12% of 250 = 10% + 2% = 25 + 5 = 30

Percentage Increase/Decrease

• Formula: New value = Original × (100 ± change%)/100
• Example: 20% increase of 80 = 80 × 120/100 = 96

Approximation Rules

Approximation Rules are smart shortcuts that help you solve questions faster by rounding numbers close to their nearest base.

BODMAS Priority

1. Brackets first
2. Of (multiplication)
3. Division
4. Multiplication
5. Addition
6. Subtraction

Rounding Rules

• 5 and above: Round up
• Below 5: Round down
• Banking Context: Round to nearest 0.5 or whole number

Quick Approximation

• 127 ≈ 130, 983 ≈ 1000
• √50 ≈ 7, √80 ≈ 9
• 1/7 ≈ 0.14, 2/7 ≈ 0.29

Percentage Change Formula

Percentage Change

• Formula: [(New – Old)/Old] × 100
• Increase: Positive result
• Decrease: Negative result

Successive Changes

• Formula: a + b + (ab/100)
• Example: 10% increase then 20% decrease = 10 + (-20) + (10×(-20)/100) = -12%

Reverse Percentage

• Formula: If x% of A = y% of B, then A/B = y/x
• Example: 25% of A = 40% of B, then A:B = 40:25 = 8:5

Average Shortcuts

Basic Average

• Formula: Sum of all values / Number of values
• Quick Method: Use the middle value as a reference

Weighted Average

• Formula: (W₁×V₁ + W₂×V₂)/(W₁ + W₂)
• Application: When quantities are different

Change in Average

• New Average = Old Average + (Change × Number of new values)/(Total values)
• Shortcut: If one value changes by x, average changes by x/n

Ratio Shortcuts

Ratio Simplification

• Method: Divide by GCD
• Example: 12:18 = 2:3 (divided by 6)

Compound Ratios

• Formula: (a:b) × (c:d) = ac:bd
• Example: (2:3) × (4:5) = 8:15

Inverse Ratios

• Rule: If A:B = m:n, then B:A = n:m
• Time-Work: Work ratio = Inverse of time ratio

Approximation in DI

Chart Reading

• Round values to nearest 10 or 100
• Use visual estimation for bar heights
• Calculate percentages using rounded numbers

Quick Calculations

• 20% ≈ 1/5, so divide by 5
• 25% = 1/4, so divide by 4
• 33.33% ≈ 1/3, so divide by 3

Comparison Tricks

• Use ratios instead of actual values
• Find common factors in numbers
• Use percentage change formula

Profit & Loss

Profit & Loss deals with calculating the gain or loss made in a transaction based on cost price and selling price. Mastering its basic formulas helps solve exam questions quickly and accurately.

Basic Formulas

• Profit = SP – CP
• Loss = CP – SP
• Profit% = (Profit/CP) × 100
• Loss% = (Loss/CP) × 100

Quick Tricks

• SP = CP × (100 + Profit%)/100
• CP = SP × 100/(100 + Profit%)
• If selling two items at same SP with x% profit and x% loss: Net Loss = (x/10)²%

Marked Price & Discount

• SP = MP × (100 – Discount%)/100
• Discount% = (MP – SP)/MP × 100

Simple & Compound Interest

Simple Interest is calculated only on the original principal, making it easier and linear over time. Compound Interest grows faster as it is calculated on both principal and accumulated interest, leading to higher returns.

Simple Interest

• SI = (P × R × T)/100
• Amount = P + SI
• Principal = (SI × 100)/(R × T)

Compound Interest

• A = P(1 + R/100)ᵀ
• CI = A – P
• For 2 years: CI – SI = P(R/100)²

Quick Tricks

• Doubling time: 72/Rate (approximate)
• Half-yearly: Rate becomes R/2, Time becomes 2T
• Quarterly: Rate becomes R/4, Time becomes 4T

Time-Speed-Distance

Time-Speed-Distance is a fundamental topic where the relationship is given by Speed = Distance ÷ Time. By rearranging, you can easily find any one value if the other two are known, which is very useful for solving exam problems.

Basic Formulas

• Speed = Distance/Time
• Distance = Speed × Time
• Time = Distance/Speed

Unit Conversions

• 1 km/hr = 5/18 m/sec
• 1 m/sec = 18/5 km/hr
• Average Speed = Total Distance/Total Time

Relative Speed

• Same direction: |Speed1 – Speed2|
• Opposite direction: Speed1 + Speed2
• Train problems: Use the relative speed concept

Quick Tricks

• Equal distance at different speeds: Average = 2S₁S₂/(S₁+S₂)
• Time ratio = Inverse of speed ratio
• If speed increases by x%, time decreases by [x/(100+x)] × 100%

Mixtures

Alligation Method

• Used when: Mixing two quantities with different concentrations
• Formula: Cheaper quantity: Dearer quantity = (Mean price – Cheaper price) : (Dearer price – Mean price)

Mixture Formulas

• Final concentration = (Q₁C₁ + Q₂C₂)/(Q₁ + Q₂)
• When water is added: New concentration = Original × Original quantity/(Original quantity + Water added)

Replacement Formula

• After n operations: Final concentration = Initial × (1 – r/t)ⁿ
• Where: r = quantity replaced, t = total quantity

Quick Tricks

• Use the ratio method for faster calculations
• Work with percentages instead of fractions
• Draw diagrams for complex mixture problems

Conclusion

Speed Maths is not about cramming tricks; it’s about building calculation confidence. With daily practice, your brain starts calculating without pen and paper. By exam day, you’ll easily solve 25+ questions in Quant in Prelims and handle Mains DI with accuracy.

Remember: Smart work beats hard work. The IBPS Clerk exam rewards those who use time wisely, and Speed Maths is your secret weapon.

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