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These are real chapters from the Manthika textbook set — the same pages the printed books are made from, free to read online, no account needed. The pages are built to be looked at: the figures carry the idea rather than decorate it.

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Mathematics

Grade 10Real Numbers20 sections
Grade 10Polynomials17 sections
Grade 10Pair of Linear Equations in Two Variables19 sections
Grade 10Quadratic Equations24 sections
Grade 10Arithmetic Progressions25 sections
Grade 10Triangles19 sections
Grade 10Coordinate Geometry19 sections
Grade 10Introduction to Trigonometry27 sections
Grade 10Some Applications of Trigonometry18 sections
Grade 10Circles21 sections
Grade 10Areas Related to Circles18 sections
Grade 10Surface Areas and Volumes20 sections
Grade 10Statistics18 sections
Grade 10Probability17 sections
$Every move the chapter makes later — roster or builder form, subset tests, Venn regions, counting a union without double-counting — is settled by asking who is in and who is out, never by how the set happened to be described.$ Grade 11Sets14 sections
$A vending machine answers every code with one thing, while a support directory answers one department name with three numbers — and that single difference is the whole of what follows.$ Grade 11Relations and Functions12 sections
$The height of a car on a turning wheel is a number for every angle it reaches, not only for the angles a right triangle can hold.$ Grade 11Trigonometric Functions17 sections
$Each of these lines was built to hold answers the line above it could not, and the last question here has answers that no line can hold.$ Grade 11Complex Numbers and Quadratic Equations14 sections
$An equals sign asks you for a number and a less-than sign asks you for a side — and one ordinary operation can send you to the wrong side without ever looking like a mistake.$ Grade 11Linear Inequalities13 sections
$The two ways of reading a counting question start out identical, then separate by a factor that grows with every extra object you pick.$ Grade 11Permutations and Combinations13 sections
$Every one of these ten coin records hands the same term to the product, and that is all a binomial coefficient ever is — a tally of the ways one thing can happen.$ Grade 11Binomial Theorem10 sections
$Two savings accounts, the same money paid in on the same day, and eight years before the difference between adding and multiplying shows up on a statement.$ Grade 11Sequences and Series15 sections
$Pin a line at one spot and it can still swing to any angle; fix its steepness and it can still slide to any height — only both demands together leave exactly one line standing.$ Grade 11Straight Lines15 sections
$You have run this experiment by accident every time a flashlight beam slid across a wall — the bright patch was moving from one of this chapter’s curves to the next, and the only thing you changed was the angle.$ Grade 11Conic Sections17 sections
$Everything east and north can say stops being enough the moment one of the two places you are describing sits above the other.$ Grade 11Introduction to Three-Dimensional Geometry12 sections
$Everything here is measured across a gap, and every answer is asked at the moment the gap closes.$ Grade 11Limits and Derivatives12 sections
$Two batsmen, ten innings each, 580 runs each — and one number that cannot tell them apart.$ Grade 11Statistics13 sections
$A count turns into an answer only once someone has checked that the outcomes being counted really are equally likely — and outside a coin or a die, nobody has checked that for you.$ Grade 11Probability13 sections
Grade 12Relations and Functions14 sections
Grade 12Inverse Trigonometric Functions15 sections
Grade 12Matrices18 sections
Grade 12Determinants17 sections
Grade 12Continuity and Differentiability38 sections
Grade 12Applications of Derivatives13 sections
Grade 12Integrals25 sections
Grade 12Applications of Integrals15 sections
Grade 12Differential Equations15 sections
Grade 12Vector Algebra14 sections
Grade 12Three Dimensional Geometry9 sections
Grade 12Linear Programming12 sections
Grade 12Probability14 sections

The New Nuskas

How to Study

The cover of How to Study.

How to Study

A page of How to Study headed "Retrieval: close the book and pull", with a graph of recall falling over days for re-reading and for self-testing.

How to Study — senior-school edition

A page of How to Study with a "Try this, one rep" box beside a drawn timer and a marked rough sheet, and a bar chart under "The doubt: feeling".

Part C: jobs, certifications, languages and beyond

ACCARead chapter →Banking: IBPS, SBI, RBIRead chapter →CA Intermediate and FinalRead chapter →CFARead chapter →Company Secretary (CSEET, Executive, Professional)Read chapter →Cost and Management Accountant (Foundation, Inter, Final)Read chapter →Decode your own IT or cloud certificationRead chapter →Decode your own NISM moduleRead chapter →Decode your own state PSCRead chapter →Defence: CDS and AFCATRead chapter →DELF, Goethe, JLPTRead chapter →IELTSRead chapter →Interviews and vivas: three rooms, one shapeRead chapter →Learning a language: decode it yourselfRead chapter →PMPRead chapter →Railways: the RRB examsRead chapter →SATRead chapter →Skill learning: music, sport, coding, drawingRead chapter →SSC: CGL and CHSLRead chapter →Studying with no exam: make your own testRead chapter →Teaching: CTET and the state TETsRead chapter →TOEFLRead chapter →UPSC Civil Services ExaminationRead chapter →