SSC CGL 2027 Quantitative Aptitude (Maths)

Start here. How Maths is tested in SSC CGL Tier 1 and Tier 2, how the marking and the 15-minute section timer work, the full Maths syllabus, how the 1,200 Maths questions of CGL 2025 Tier 1 split by topic, and how to use the 20 chapters of this course.

Number System and HCF/LCM for SSC CGL Tier 1 and Tier 2: types of numbers and decimals, divisibility rules and missing-digit questions, factors and perfect squares, remainders and unit digits, and HCF and LCM, including the bell, tile and group word problems. After the five topic sections come the speed methods, 34 solved questions, three practice sets, 70 questions from SSC papers of 2022 to 2025 and a 15-minute chapter test.

Simplification, Surds and Indices for SSC CGL Tier 1 and Tier 2: BODMAS and decimals, fractions and continued fractions, squares and roots, laws of indices, surds and rationalisation, and simplifying with identities. After the six topic sections come quick methods for these sums, worked questions, three practice sets, two sets of real SSC questions from 2022 to 2025 and a 15-minute chapter test.

Percentage for SSC CGL Tier 1 and Tier 2: basics and the fraction–percent table, percentage change and successive change, population, the product rule for price, consumption, income and savings, and applications like elections, exams, spending chains and mixtures. After the topics come the fraction swaps and other speed methods, mixed solved questions, three practice sets, two sets of real SSC questions from 2022 to 2025 and a 15-minute test.

Ratio, Proportion and Partnership for SSC CGL Tier 1 and Tier 2: ratio basics and combining ratios, dividing amounts, mean, third and fourth proportional, variation, income and savings, coins, changing ratios, ratios with percentages, ages in ratio, and every type of partnership question. After the four topic sections come the quick methods for joining ratios and splitting profit, worked questions, three practice sets, real SSC questions from 2022 to 2025 and a 15-minute chapter test.

Average for SSC CGL Tier 1 and Tier 2: averages of numbers and sequences, overlapping groups, joining, leaving and replacement, wrong entries, cricket averages, weighted and combined averages, and average ages. Each type is worked through totals and the quick change × count and distance methods, then tested in solved questions, three practice sets, two sets of real SSC questions from 2022 to 2025 and a 15-minute chapter test.

Mixture and Alligation for SSC CGL Tier 1 and Tier 2: reading mixtures, adding water or one part, mixing two mixtures, transfers and alloys, average price, the alligation rule for prices, percentages and other averages, mixing for profit, and removal and replacement. After the three topic sections come quick methods for the cross and the replacement formula, worked questions, three practice sets, two sets of real SSC questions from 2022 to 2025 and a 15-minute test.

Profit, Loss and Discount for SSC CGL Tier 1 and Tier 2: cost and selling price, profit and loss %, CP from two selling prices, articles and two-item questions, parts sold at different rates, marked price and discount, successive discounts, buy x get y free, false weights and chains of sales. After the four topic sections come the multiplier shortcuts, worked questions of every type, three practice sets, two sets of real SSC questions from 2022 to 2025 and a 15-minute chapter test.

Simple and Compound Interest for SSC CGL Tier 1 and Tier 2: simple interest and its question types, compound interest year by year, half-yearly and quarterly compounding, rates from amounts and doubling time, the CI and SI difference, splitting sums and instalments. After the three topic sections come the quick methods, worked questions, three practice sets, two sets of interest questions SSC asked between 2022 and 2025, and a 15-minute chapter test.

Time and Work and Pipes and Cisterns for SSC CGL, Tier 1 and Tier 2: the total-work method, working together, efficiency, leaving and joining, men-days, men, women and children, alternate days, negative work, wages, and inlets, outlets, leaks and alternate hours. Most questions are worked in whole-number units instead of fractions, and after the three topic sections come the speed methods, solved questions, three practice sets, two sets of SSC questions from 2022 to 2025 and a 15-minute test.

Time, Speed and Distance for SSC CGL Tier 1 and Tier 2: units and ratios, average speed, late and early arrival, stoppages, relative speed and meeting, police and thief, trains, boats and streams, races and circular tracks. After the three topic sections come quick methods for units, trains and boats, a set of worked questions, three practice sets, two sets of real SSC questions from 2022 to 2025 and a 15-minute chapter test.

Algebra for SSC CGL Tier 1 and Tier 2: square and cube identities, three-variable identities and a + b + c = 0, special conditions, x + 1/x and its powers, surd values, polynomials and the remainder theorem, quadratic and linear equations, and least and greatest values. After the topics come the one-line routes for identity and x + 1/x questions, worked questions, three practice sets, two sets of SSC algebra questions from 2022 to 2025 and a 15-minute test.

Geometry for SSC CGL Tier 1 and Tier 2: lines and angles, quadrilaterals and polygons, triangles and congruence, Pythagoras, the centres of a triangle with inradius and circumradius, similar triangles and proportionality, and circles (chords, angles, cyclic quadrilaterals, tangents and common tangents), with diagrams throughout. After the six topic sections come quick methods for angle chases and circle lengths, worked questions, three practice sets, two sets of real SSC geometry questions from 2022 to 2025 and a 15-minute test.

Mensuration 2D for SSC CGL Tier 1 and Tier 2: areas and perimeters of triangles, rectangles, squares, parallelograms, rhombuses, trapeziums and regular polygons, paths, tiles and cost, figures inside figures, circles, rings and wheels, arcs, sectors, segments and shaded regions, with diagrams throughout. After the topic sections come the speed methods (choosing the value of π, the path and tile formulas), 35 worked questions, three practice sets, two sets of past SSC questions from 2022 to 2025 and a 15-minute test.

Mensuration 3D for SSC CGL Tier 1 and Tier 2: cuboids and cubes, rooms, boxes and tanks, right prisms and pyramids, cylinders and pipes, cones and frustums, spheres and hemispheres, combined solids, melting and recasting, and how volume and surface change with size, with diagrams throughout. The six topic sections are followed by quick methods, worked questions, three practice sets, 70 real SSC solids questions from 2022 to 2025 and a timed chapter test.

Trigonometry for SSC CGL Tier 1 and Tier 2: degrees and radians, the six ratios in a right triangle, standard and complementary angles, finding an angle, identities and simplification, values from a given condition, greatest and least values, and allied, compound and double angles. The five topic sections are followed by speed methods, worked questions, three practice sets, 70 real SSC trigonometry questions from 2022 to 2025 and a timed chapter test.