SSC CHSL Maths Formulas & Tricks 2026, Quick Revision Guide

Mathematics is an important section of the SSC CHSL Exam. To solve questions quickly and accurately, it is essential to memorize key formulas and learn simple tricks. This guide contains all the important formulas and short methods for easy revision before your exam.

HCF and LCM Formulas

Understanding Highest Common Factor (HCF) and Lowest Common Multiple (LCM) is useful for number theory problems. Memorize these simple formulas to save time.

Concept	Formula
HCF × LCM	HCF × LCM = Product of the two numbers
HCF of two numbers	Divide numbers into prime factors and multiply common factors
LCM of two numbers	Divide numbers into prime factors and multiply all highest powers of factors

Speed Maths Tricks for Simplifying Calculations

Quick calculation tricks help save time during the exam. Using these methods, you can solve sproblems faster without manual long calculations.

• Multiply by 11: Add the two digits and place the sum in between (e.g., 32 × 11 → 3 (3+2) 2 = 352).
• Squaring numbers ending with 5: Multiply the first digit(s) by its next number and add 25 at the end (e.g., 35² → 3×4=12 → 1225).
• Divisibility rules: Use simple checks for 2, 3, 4, 5, 9, 11 to quickly find divisible numbers.

Algebra Formulas

Algebra questions are common in SSC CHSL. Memorize these standard formulas to solve them quickly.

Formula Type	Formula
(a + b)²	a² + 2ab + b²
(a – b)²	a² – 2ab + b²
a² – b²	(a + b)(a – b)
(x + a)(x + b)	x² + (a + b)x + ab
Cubes	a³ + b³ = (a + b)(a² – ab + b²) a³ – b³ = (a – b)(a² + ab + b²)

Geometry Formulas

Basic Geometry is also important. Learn the key formulas for quick problem-solving.

Shape	Formula
Triangle Area	½ × base × height
Triangle Perimeter	Sum of all sides
Rectangle Area	Length × Breadth
Rectangle Perimeter	2 × (Length + Breadth)
Circle Area	π × r²
Circle Circumference	2 × π × r
Square Area	Side²
Square Perimeter	4 × Side

Time, Speed, and Distance

Time, Speed, and Distance formulas help solve all problems related to motion and time efficiently.

• Speed = Distance ÷ Time
• Distance = Speed × Time
• Time = Distance ÷ Speed
• Average Speed = Total Distance ÷ Total Time

Profit, Loss, and Discount

Quick formulas for Profit, Loss and Discount mathematics questions.

• Profit = Selling Price – Cost Price
• Loss = Cost Price – Selling Price
• Profit % = (Profit ÷ Cost Price) × 100
• Loss % = (Loss ÷ Cost Price) × 100
• Selling Price after Discount = Marked Price – Discount

Simple Interest & Compound Interest

Simple Interest & Compound Interest maths questions can be solved quickly using these formulas.

Type	Formula
Simple Interest	SI = (P × R × T)/100
Compound Interest	CI = P × (1 + R/100)ⁿ – P

Percentage Tricks

Percentage problems can be simplified with these methods:

• To find x% of a number → (x × number)/100
• To increase a number by x% → Number × (1 + x/100)
• To decrease a number by x% → Number × (1 – x/100)

What are the Important Ratio and Proportion Formulas for SSC CHSL?

Ratio and proportion questions can be solved quickly by using cross-multiplication and direct proportion formulas.

Concept	Formula
Ratio of two quantities	a:b=a/ba:b = a/ba:b=a/b
Proportion	a:b=c:d⇒ad=bca:b = c:d \Rightarrow ad = bca:b=c:d⇒ad=bc
Fourth proportional	d=bc/ad = bc/ad=bc/a
Direct proportion	x1/y1=x2/y2x_1/y_1 = x_2/y_2x1​/y1​=x2​/y2​
Inverse proportion	x1y1=x2y2x_1y_1 = x_2y_2x1​y1​=x2​y2​

What are the Average and Partnership Formulas?

Average and partnership questions are common arithmetic problems. Candidates should remember the basic and combined-average formulas.

Concept	Formula
Average	Sum of observations ÷ Number of observations
Sum of observations	Average × Number of observations
Combined average	(n1a1+n2a2)/(n1+n2)(n_1a_1+n_2a_2)/(n_1+n_2)(n1​a1​+n2​a2​)/(n1​+n2​)
Partnership profit ratio	Capital × Investment period
Individual profit share	Total profit × Individual ratio ÷ Total ratio

What are the Mixture and Alligation Formulas?

The alligation method helps candidates calculate the required proportion of two ingredients with different prices or concentrations.

Concept	Formula
Mean value	Total value ÷ Total quantity
Cheaper quantity : Dearer quantity	(D−M):(M−C)(D-M):(M-C)(D−M):(M−C)
Final concentration	Amount of substance ÷ Total mixture × 100
Repeated replacement	Original quantity × (1−x/v)n(1-x/v)^n(1−x/v)n

Here, C is the cheaper value, D is the dearer value, M is the mean value, x is the replaced quantity and v is the total volume.

What are the Important Mensuration Formulas?

The official syllabus includes two-dimensional and three-dimensional figures such as polygons, cylinders, cones, spheres, hemispheres and rectangular solids.

Shape	Area or Surface Area	Volume
Parallelogram	Base × Height	—
Trapezium	½×(a+b)×h½ × (a+b) × h½×(a+b)×h	—
Cuboid	2(lb+bh+hl)2(lb+bh+hl)2(lb+bh+hl)	lbhlbhlbh
Cube	6a26a²6a2	a3a³a3
Cylinder	2πr(r+h)2πr(r+h)2πr(r+h)	πr2hπr²hπr2h
Cone	πr(l+r)πr(l+r)πr(l+r)	⅓πr2h⅓πr²h⅓πr2h
Sphere	4πr24πr²4πr2	4/3πr34/3πr³4/3πr3
Hemisphere	3πr23πr²3πr2	2/3πr32/3πr³2/3πr3

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