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JEE Main · subject
Mathematics carries 25 of the 75 questions in JEE Main and 100 of the 300 marks, drawn from 14 syllabus units. This page ranks every unit by weight in past papers, and is blunt about the real cost in Maths, which is time rather than difficulty.
Quick answer
BrainStride analysis of past papers · questions per shift, ranges vary · NTA publishes no chapter weightage
Unit names follow the official JEE Main syllabus. The question ranges are ours, from past papers; the mistake column is the slip our teachers see most often on that unit.
| Unit | Class | Questions per paper | Difficulty | The mistake it catches |
|---|---|---|---|---|
| Sets, Relations and Functions | 11–12 | 1–2 Q | Moderate | Domain checked after solving instead of before, so extra roots survive. |
| Complex Numbers and Quadratic Equations | 11 | 1–2 Q | Moderate | Losing a root by squaring, or forgetting that complex roots come in pairs. |
| Matrices and Determinants | 12 | 1–2 Q | Easy–moderate | Row operations applied to a determinant as if it were a matrix equation. |
| Permutations and Combinations | 11 | 1–2 Q | Moderate–hard | Counting arrangements twice because identical objects are treated as distinct. |
| Binomial Theorem and its Simple Applications | 11 | 0–2 Q | Easy–moderate | Off-by-one in the general term: the (r+1)th term, not the rth. |
| Sequence and Series | 11 | 1–2 Q | Moderate | Using the AP sum formula on a series that stops being arithmetic partway. |
| Limit, Continuity and Differentiability | 11–12 | 2–3 Q | Moderate | L’Hôpital applied where the limit is not of an indeterminate form. |
| Integral Calculus | 12 | 2–3 Q | Moderate–hard | Definite integrals solved without changing the limits after a substitution. |
| Differential Equations | 12 | 1–2 Q | Moderate | Integrating factor written for the wrong variable when the equation is in dx/dy. |
| Co-ordinate Geometry | 11 | 3–5 Q | Moderate | Standard-form conditions quoted for a conic that has been shifted or rotated. |
| Three Dimensional Geometry | 11–12 | 1–2 Q | Moderate | Direction ratios not normalised before using the angle formula. |
| Vector Algebra | 12 | 1–2 Q | Easy–moderate | Scalar and vector triple products confused, so the answer has the wrong type. |
| Statistics and Probability | 11–12 | 1–2 Q | Moderate | Conditional probability treated as independent, so Bayes is skipped. |
| Trigonometry | 11–12 | 1–2 Q | Moderate | General solutions dropped: one value reported where a family was asked for. |
Ranges are per shift and overlap — a single paper has 25 Maths questions, so no shift draws on every unit.
Four of these are time and method errors, not gaps in what you know.
Why it happens
A question is solved the way it was taught in class, when substitution or elimination of options would take a third of the time.The fix
Spend ten seconds choosing a method before starting. In a 25-question section, that choice is worth more than speed.Why it happens
In a definite integral the variable changes but the limits stay, so a correct antiderivative gives a wrong number.The fix
Write the new limits on the same line as the substitution, before integrating.Why it happens
Extra roots survive because the domain of the original expression is only considered once an answer appears.The fix
Write the domain before solving, and strike out roots as they fail it.Why it happens
Condition formulas memorised for the standard form are applied to a translated or rotated conic.The fix
Shift the curve to standard form first, or derive the condition in the given frame.Why it happens
Sunk cost: five minutes are already spent, so a sixth follows, and two easier questions go unattempted.The fix
Set a per-question ceiling of roughly two minutes on the first pass, and mark the rest for a second pass.The 14 units grouped the way students study them. Ranges are the sum of the unit ranges above; shares use the midpoints, so they add to 100% while the ranges overlap.
| Branch | Units | Questions per paper | Share of the section | Marks at stake |
|---|---|---|---|---|
| Algebra | 6 | 5–12 | 34% | 20–48 |
| Calculus | 3 | 5–8 | 26% | 20–32 |
| Coordinate geometry (2D and 3D) | 2 | 4–7 | 22% | 16–28 |
| Vector algebra | 1 | 1–2 | 6% | 4–8 |
| Statistics and probability | 1 | 1–2 | 6% | 4–8 |
| Trigonometry | 1 | 1–2 | 6% | 4–8 |
BrainStride analysis of past papers · questions per shift, ranges vary · NTA publishes no chapter weightage
Algebra — Sets, Relations and Functions, Complex Numbers and Quadratic Equations, Matrices and Determinants, Permutations and Combinations, Binomial Theorem and its Simple Applications, Sequence and Series — brings about 5–12 of the 25 Maths questions a shift in our reading of past papers, roughly 34% of the section, or 20–48 marks. The heaviest units inside it are Sets, Relations and Functions (1–2) and Complex Numbers and Quadratic Equations (1–2).
Calculus — Limit, Continuity and Differentiability, Integral Calculus, Differential Equations — brings about 5–8 of the 25 Maths questions a shift in our reading of past papers, roughly 26% of the section, or 20–32 marks. The heaviest units inside it are Limit, Continuity and Differentiability (2–3) and Integral Calculus (2–3).
Coordinate geometry (2D and 3D) — Co-ordinate Geometry, Three Dimensional Geometry — brings about 4–7 of the 25 Maths questions a shift in our reading of past papers, roughly 22% of the section, or 16–28 marks. The heaviest units inside it are Co-ordinate Geometry (3–5) and Three Dimensional Geometry (1–2).
Vector algebra brings about 1–2 of the 25 Maths questions a shift in our reading of past papers, roughly 6% of the section, or 4–8 marks.
Statistics and probability brings about 1–2 of the 25 Maths questions a shift in our reading of past papers, roughly 6% of the section, or 4–8 marks.
Trigonometry brings about 1–2 of the 25 Maths questions a shift in our reading of past papers, roughly 6% of the section, or 4–8 marks.
Calculus and coordinate geometry, because between them they carry roughly a third of the section in our reading of past papers, and both reward method over memory. Algebra — matrices and determinants, sequences, probability — comes next: the questions are shorter, so the marks per minute are good once the standard results are secure. Trigonometry and vectors are small but appear almost every shift, which makes them poor candidates for dropping.
Speed in Maths is mostly method selection, not arithmetic. Two habits do the work:
BrainStride tags each wrong answer as a concept gap, a silly error or time pressure, and a time-pressure tag sends timed sets rather than fresh theory — which is the difference between practising and just doing more questions.
Most students find the Maths section longer rather than harder: the individual questions are approachable, but 25 of them inside a shared three-hour paper is tight. That is why accuracy under time, tracked in your weekly report, is a better measure of readiness in Maths than chapter coverage. Use the rank predictor to see what a realistic Maths score does to your band.
Maths is a third of the paper, so a Maths plan only makes sense next to the other two. The JEE Main hub collects the pattern, the syllabus and the dates in one place, and the chapter-wise weightage analysis sets the Maths units beside Physics and Chemistry with the per-shift question counts portals have reported. The two heaviest Maths areas have their own guides — definite integrals and coordinate geometry — with formulas, the mistakes that cost marks and a short quiz. Once a mock is marked, the marks-to-percentile calculator turns the total into a percentile band, and the JEE Main cutoff page shows where the JEE Advanced qualifying line has sat each year. Calculus and coordinate geometry carry over almost unchanged into JEE Advanced, so time spent on them is not wasted if you qualify.
Formulas, the mistakes that cost marks, worked examples and a quiz — free, no account.
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Every solution is reviewed by a subject teacher before it ships, and explanations are audited weekly. The teachers are on staff, so we describe the process rather than publish a roster.
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In BrainStride’s analysis of past JEE Main papers, calculus — limits, continuity and differentiability, integral calculus and differential equations — carries 5–7 of the 25 Maths questions, and coordinate geometry another 3–5. Algebra, covering matrices, sequences and probability, adds 4–6. NTA publishes no official weightage, so treat these as past-paper ranges.
Calculus accounts for about five to seven of the 25 JEE Main Mathematics questions in our reading of recent papers, split between limits and differentiability, integral calculus and differential equations. It is the single largest block in the section, and definite integrals are where most avoidable marks are lost, usually to limits not changed after a substitution.
Treat the first pass as a filter: give each question about two minutes, mark anything longer and move on. Most students who run out of time in JEE Main Maths lose it to two or three questions they refused to abandon, not to slow arithmetic. Practising previous-year papers with a clock from the beginning is what builds that habit.
No. JEE Advanced Mathematics asks multi-concept questions with partial marking and no fixed pattern, so it is harder in depth. JEE Main Maths is harder in pace: 25 questions in a shared three-hour paper, with +4 and −1 marking. A student comfortable in Main still needs depth practice for Advanced.
Skipping is risky because the section samples widely: with fourteen syllabus units and 25 questions, most units appear once or twice in a shift. Even Binomial Theorem, among the lightest, shows up in most papers. Finish calculus and coordinate geometry first, then close the small units rather than dropping them.
You need the standard results — trigonometric identities, conic conditions, standard integrals — fast enough to recall under time, but memorising without deriving them once is what produces the common error of applying a standard-form result to a shifted curve. Learn each result with the condition it holds under, then practise until recall is automatic.
BrainStride is not affiliated with NTA. Chapter weightage is our own analysis of past papers — NTA publishes none. Confirm the syllabus and pattern against the current official bulletin.
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The 20-minute diagnostic separates concept gaps from time pressure, then plans around whichever it is.