The Best SSC CGL Maths + Reasoning Handwritten Notes

Place Value and Parity, Divisibility Rules (2 – 25), Divisibility Theorems, Factors & Multiples, Series & Progression Sums, Unit Digit and Cyclicity, Powers and Roots, Simplification — BODMAS/VBODMAS, Fractions & Decimals, Digit Problems & Decimals.

HCF & LCM — Methods, Key Relationships, Fractions & Decimals, Applications — Word Problems, HCF — prime factorization, LCM — prime factorization, HCF — long division, LCM of fractions.

Conversion Toolkit — Fraction ↔ %, Percentage — Basic Calculation, More/Less & MF Method, Successive % Change, Population & Depreciation, Consumption ↔ Price, Exam and Savings & Misc, Multiplying Factor (MF).

Ratio Fundamentals, Proportion, Componendo–Dividendo, Distribution and Coins & Ages, Mean proportional, Continued ratio, Compare ratios, Add/subtract same k.

Fundamentals, Series Averages, Change in Average, Age / Weight and Cricket & Speed, Weighted average, Combined of 2 groups, Consecutive numbers, First n natural (1..n).

Simple Interest (SI), Compound Interest (CI), CI − SI Difference, Instalments, Special Cases, Simple Interest, Compound Interest, Amount (CI).

Fundamentals, Marked Price Chain, Dishonest Dealer, Classic Patterns, Partial Transactions & Misc, Profit %, SP (MF method), SP from profit %.

Basic Discount, Successive Discounts, Discount + Profit Combined, Special Offers, Discount %, SP from discount, Koi 2 pata → 3rd nikaalo, Do discount ka net.

Simple Partnership (same time), Compound Partnership, Special Cases, Simple partnership, Compound partnership, Working partner, Profit banta hai, Kisi ek ka share.

Alligation Rule (Criss-Cross), Mixing Problems, Replacement (Nikaal-ke-Daalo), Applications & Vessel Problems, Milk–Water, n baar repeat, Milk nikala and paani daala, Kaha-kaha lagta.

Core Methods (LCM sabse fast), Combination Problems, Leaving / Joining & Alternate Days, Efficiency & Work–Days–Hours, Men–Women–Children & Wages, Pipes & Cisterns, Unitary, LCM method.

Fundamentals, Average Speed, Early – Late, Trains, Boats & Streams, Races & Circular Motion, Unit change, Speed ↔ Time.

Standard Identities, Conditional Identities, x + 1/x Family, Advanced Manipulation & Polynomials, Quadratic Min / Max & Roots, Difference of squares, Sum & diff square, Sum of cubes.

Laws of Indices, Surds & Rationalisation, Special Forms (very important), Conjugate Applications, Zero & negative, Rationalise, Same base equation, Monomial.

Coordinate Basics, Straight Line, Graph Applications, Pair of Linear Equations, Section (internal), Slope from 2 points, General form, Parallel lines.

Angles, Parallel Lines & Transversal, Triangle Fundamentals, Triangle Types & Pythagoras, Polygons, Quadrilateral Properties, Triangle angle sum, Complement / Supplement.

Centroid (G), Incentre (I), Circumcentre (O), Orthocentre (H) & Combined, Centroid G, Incentre I, Circumcentre O, Orthocentre H.

Congruence, Similarity, BPT (Thales) & Midpoint, Angle Bisector & Right Triangle Similarity, Area Ratio Problems, Area ratio, 5 criteria, SSA / AAA nahi.

Chord Properties, Arc & Angle Theorems, Cyclic Quadrilateral, Tangent Properties, Common Tangents and Touching & Power of Point, Chord length, Perpendicular bisect, Equal chords.

Triangle, Quadrilaterals, Regular Polygons & Circle, Sector & Segment, Inscribed–Circumscribed & Applied, Triangle area, Equilateral, Heron's formula.

Cube & Cuboid, Prism & Cylinder, Cone & Frustum, Sphere and Hemisphere & Pyramid, Conversion and Water & Combination Solids, Right Prism, Hollow cylinder, Slant height.

Fundamental Identities, Complementary Angles & Series, Given One → Find All, Maximum & Minimum Values, Basic ratios, Reciprocals, Quotient, Pythagorean.

Case 1 — Single Object, Case 2 — Two Observation Points, Case 3 — Two Objects & Moving Object, Angle of Elevation, Angle of Depression, Base formula, Tower / Building, Ladder (deewar).

Central Tendency — Formulas, Standard Deviation & Variance, Probability — Sample Space & Rules, Mean (average), Combined Mean, Median (grouped), Mode (grouped), Empirical Relation.

Chart Types — Reading, Pie Chart (sabse zaroori), Calculation Speed Techniques, % Change, % Share, Bar Diagram, Full circle, Value from angle.

Multiple Angle Formulas, Transformation (Sum ↔ Product), Special Conditions, sin(A ± B), cos(A ± B), tan(A ± B), Product rule, Triple angle.

Sine Rule — Applications, Cosine Rule — Applications, Projection & Area, Circumradius, Side ratio, Angle from 3 sides, Side from 2 sides + kon, Type check.

Nature of Roots (D se), Sum & Product of Roots, Equation Banana & Special Conditions, Standard form, Roots (formula), Discriminant, Perfect square D, Square sum.

Arithmetic Progression (AP), Geometric Progression (GP), Means & Special Series, AP (arithmetic), GP (geometric), nth term, Sum of n, 3 terms in AP.

Area & Collinearity, Section Formula (Division), Lines — Distance & Equations, Distance (2 points), Centroid (3 vertices), Area of triangle, Collinear (ek line par), Internal (m:n).

Two Sets — Regions, Three Sets, Max–Min Overlap, Master formula, Exactly one, Neither (na A na B), Union of 3, Exactly two.

Last Two Digits & Digital Root, Polygon inside Circle inside Polygon, Basic AM-GM, General min, Product fix, Sum fix, Ending in 5, Digital Root (Beejank).

Clock — Special Positions, Calendar — Odd Days, Number Puzzles, Angle between hands, Hands milte (coincide), Opposite (180°), Right angle (90°), Odd days idea.

Finding a letter's position (EJOTY), Opposite letters, Pair counting, Letter gaps and counting, Alphabetical arrangement, Backward positions, Two common question types, Mixed concept questions.

The difference method, Alternate series, Mixed-operation series, Letter and alpha-numeric series, Finding the wrong term, Check the ratio too, Series can run downwards, Past Z wrap around.

Letter-shift coding, Number coding, Coded language (substitution), Word substitution, First move every time, Wrap past Z, Test your rule on every pair, Word order means nothing.

Semantic analogy and the relationship map, Picking the right option, Number analogy, Letter analogy, Say the sentence out loud, Direction matters, Make the sentence specific.

Word classification, Number classification, Letter classification, Pair classification, Whale is not a fish, When two properties both fit, Always write the numbers, Squares and cubes worth memorising.

Draw it always, Turning left and right, Finding the distance, Sun and shadow questions, Question patterns you will meet, Left and right depend on his facing, Distance vs displacement.

Never solve it in your head, Gender is information, Reading a chain, The stock phrases decoded, The photograph questions, Generations and vocabulary, Coded relations.

The angle between the hands, When the hands meet, Why 11 and not 12, Odd days, Counting odd days in a month, Leap years, Count forward never backward, Two shortcuts worth memorising.

The order of work, One picture many marks, Neighbours and opposites, Circles and which way they face, Rows, Which clue to use first, A worked circle, Three setups the paper loves.

Why this is a scoring chapter, The left-to-right rule, BODMAS is not a queue, Symbol substitution, Write the swapped line out, Interchanged symbols, Work the options not the question, When the symbols are comparisons.

Words to pictures, Counting with two circles, The mistake that costs the mark, When one statement forces another, Reading a statement backwards, May be true is a different question, Three circles and seven regions.

Why subtract one, Finding the other end, How many sit between, One person or two, Swaps and the formula in disguise, Always check backwards, The ends are not zero.

Forget what is true outside, Which pairs carry through, Try to break it, Order matters, Two things the paper counts on, The either-or answer, All does not mean anyone exists.

Same-start words sorted letter by letter, Stop at the first difference, When one word runs out, Sort the whole list anyway, Work the negatives first, Matching with a grid.

Test on every row then apply, Rows first, The 3 x 3 matrix, Letters with a hole, Pairs of letters, Read the gaps and do not assume them, Which rule gives the answer.

The arrow points one way, Silence is not denial, How to reject a conclusion, Some does not promise some not, Two conclusions at once, Only is a fence, What All A are B gives you, Conclusion or assumption.

Why the smallest move wins, Match the size of the response, Owning is not confessing, Blame closes and owning opens, Behaviour that changes has a cause, Read the other person, The five tests that pick the answer, When the ladder does not apply.

The two-second check, Words in a mirror, Words in water, The reordered-but-not-flipped trap, The letters that do not change, Mirrored clocks, Figures and the traps.

Two positions of the same die, Nets and the skip-one rule, Where the skip-one rule breaks, The corner test, Standard dice, The 21 shortcut, Net to cube: testing the options.

Where the holes land, Two folds and four holes, When the doubling stops, Working backwards, Reflect and do not rotate, Diagonal creases, Cutting, not punching.

The give-away, When the marks disagree, Counting is the same habit, Split the job, Two changes at once, Odd and even, Analogy: one transition only, Classification: name it first.

Trace X in one continuous order, Four options and one answer, Count the junctions and open ends, Why your eye gets this wrong, When rotation is not allowed, Read the stem every time, When the question turns around.

Why all and only are dangerous, The words that decide, SSC assumes the category exists, Draw the two circles, A universal does not reverse, The either-or pair, Actions vs assumptions vs arguments.