SSC CGL Maths Notes

Sum and count, a member joining, leaving or replaced, wrong entries, parts of a list, combined averages, alligation and consecutive numbers.

Percentages as fractions, the changing base, successive changes, elections and savings, cost and selling price, marked price and discount, successive discounts and offers, and faulty weights.

Standard values, every ratio from one ratio, the Pythagorean identities, complementary and allied angles, sec ± tan pairs, squared sums, compound angles, equations and greatest values.

Totals and counts, averages, ratios, one value as a percentage of another, percentage change, pie chart shares and degrees, and two-step share questions.

Ratio units, the three proportionals, variation, joining and changing ratios, savings and ages, partnership, mixtures, replacement and alligation.

Adding and subtracting rates, LCM units, efficiency ratios, work in stretches, alternate days, man-days and man-hours, men and women as equal workers, and pipes, leaks and cisterns.

Squares and cubes of a binomial, the x ± 1/x ladder up to eighth powers, three-variable sums, a³ + b³ + c³ − 3abc with a + b + c = 0, and rational expressions.

Chords and their distance from the centre, angles at the centre and in a semicircle, cyclic quadrilaterals, tangent lengths, the alternate segment theorem, power of a point, common tangents and chords, and touching circles.

BODMAS with 'of' and the bar, fractions and decimals, missing numbers, indices and square roots, cube-ratio shortcuts, surds, rationalising and the square root of a surd.

Cuboids and diagonals, prisms and pyramids, cylinders and pipes, cones, spheres and shells, scale factors, cut cones, comparing solids, recasting and water displaced.

Rectangles, trapeziums, tiles and paths, triangle areas and Heron's formula, equilateral triangles and hexagons, circles, wheels and rings, arcs and radians, sectors, segments and shaded regions.

Speed, distance and time with the 5/18 rule, average speed, speed changes and time gaps, chases and head-on meetings, trains, boats and streams, races, and circular tracks.

SI = PRT/100, months and days, present worth, missing rate or time, sums that double, two rates and alligation, part repayments, compound growth, part years and instalments.

The angle sum and exterior angles, the triangle inequality and Pythagoras, congruence rules, similar triangles and their areas, the midpoint and bisector theorems, medians, and the four centres.

Elimination and substitution, three unknowns, testing options, one, none or infinitely many solutions, word problems, swapped orders, coin counts and ages.

Number families, terminating decimals, primes, squares, the division algorithm, divisibility tests, missing digits, divisor counts, HCF and LCM, and remainders of large powers.

Distance, midpoint and centroid, the area of a triangle, slope and intercepts, a point on a line, point-slope form, parallel and perpendicular lines, and the distance to a line.

Angles of elevation and depression, heights and shadows, ladders and ropes, two observers on the same or opposite sides, complementary angles and a statue on a pedestal.

Vertically opposite, alternate and co-interior angles, the angle sums of a polygon, diagonals, each angle of a regular polygon, sides from an angle, and the regular hexagon.

The 360° angle sum, cyclic quadrilaterals, the trapezium and its diagonals, parallelograms, the rhombus and the kite.

Putting values into a polynomial, the remainder and factor theorems, the sum and product of roots, and products that collapse by the difference of squares.