KPK Boards Intermediate (HSSC) Mathematics (Classes XI and XII): syllabus, papers and marking
Two 100-mark papers: 20 MCQs, any 10 of 13 five-mark short questions and any 3 of 4 ten-mark long questions.
SLO-based model papers and Tables of Specification for HSSC Annual-I 2025 and onward (KPTBB books), BISE Peshawar · Annual-I and Annual-II series · grades A++ to U (IBCC scale)
KPK Inter Mathematics: where the marks go
KPK Intermediate Mathematics is a 100-mark paper in each of Class XI and Class XII: 20 MCQs, 50 marks of short questions (any 10 of 13, five marks each) and 30 marks of long questions (any 3 of 4, ten marks each). The Class XI Table of Specification covers twelve units, with Matrices and Determinants and the graphs of trigonometric functions at about 15 percent each.
Class XII covers calculus, analytic geometry and numerical methods; Integration (18 percent) and Plane Analytic Geometry (13 percent) carry the most weight, and the unit on Maple is not examined. Marks go on method, so our papers and marking credit each step.
Paper structure and what we mark
| Paper | Time | Marks | Weight | Questions |
|---|---|---|---|---|
| Class XI · Section A — Multiple Choice (Class XI) | — | 20 | 10% | 20 MCQs on a response sheet, 1 mark each |
| Class XI · Section B — Short Questions (Class XI) | 2 h 40 min (B and C) | 50 | 25% | Any 10 of 13 short questions, 5 marks each |
| Class XI · Section C — Long Questions (Class XI) | — | 30 | 15% | Any 3 of 4 long questions, 10 marks each |
| Class XII · Section A — Multiple Choice (Class XII) | 20 min | 20 | 10% | 20 MCQs on a response sheet, 1 mark each |
| Class XII · Section B — Short Questions (Class XII) | 2 h 40 min (B and C) | 50 | 25% | Any 10 of 13 short questions, 5 marks each |
| Class XII · Section C — Long Questions (Class XII) | — | 30 | 15% | Any 3 of 4 long questions, 10 marks each |
Syllabus outline
- Class XI, unit 1: Complex Numbers
- Class XI, unit 2: Matrices and Determinants
- Class XI, unit 3: Vectors
- Class XI, unit 4: Sequences and Series
- Class XI, unit 5: Miscellaneous Series
- Class XI, unit 6: Permutation, Combination and Probability
- Class XI, unit 7: Mathematical Induction and Binomial Theorem
- Class XI, unit 8: Functions and Graphs
- Class XI, unit 9: Linear Programming
- Class XI, unit 10: Trigonometric Identities of Sum and Difference of Angles
- Class XI, unit 11: Application of Trigonometry
- Class XI, unit 12: Graphs of Trigonometric and Inverse Trigonometric Functions and Solution of Trigonometric Equations
- Class XII, unit 1: Introduction to Symbolic Package: Maple (not examined)
- Class XII, unit 2: Function and Limits
- Class XII, unit 3: Differentiation
- Class XII, unit 4: Higher Order Derivatives and Applications
- Class XII, unit 5: Differentiation of Vector Functions
- Class XII, unit 6: Integration
- Class XII, unit 7: Plane Analytic Geometry: Straight Line
- Class XII, unit 8: Conics I
- Class XII, unit 9: Conics II
- Class XII, unit 10: Differential Equations
- Class XII, unit 11: Partial Differentiation
- Class XII, unit 12: Introduction to Numerical Methods
How each paper is marked here
- The twenty MCQs in each paper are scored automatically against the key.
- Short and long questions are marked on method and answer separately.
- Long questions are marked part by part, so one weak part does not sink the whole answer.
Where KPK Inter Mathematics candidates lose marks
- Method not shown — Five- and ten-mark answers award marks for each step; a bare result earns the answer mark at best.
- Sign and bracket errors in matrices and integrals — One slip changes every later line and is rarely recovered.
- Limits and derivatives by rule without the intermediate step — Show the substitution or the formula used.
- Conic and line questions with the wrong form — State the equation form chosen before substituting.
Sample papers, mark schemes and marked reports for KPK Inter Mathematics
See a real handwritten script marked by eight examiners at admitportfolio.com/examiners.
Questions teachers ask
- Is the Class XI MCQ time given?
- The Class XII model paper gives 20 minutes; the Class XI model paper does not print the time, so we show it as unspecified.
- Is the Maple unit examined?
- No. The Class XII Table of Specification gives it 0 percent weight.
- Is this official KPK Boards marking?
- No. Boards of Intermediate and Secondary Education, Khyber Pakhtunkhwa marks the real exam. This is examiner-style marking of mocks and homework for KPK Inter Mathematics. Only you see the marking, and you decide what reaches the student.
- Do you reproduce past-paper questions?
- No. Every Classes XI and XII paper here is original and written to the slo-based model papers and tables of specification for hssc annual-i 2025 and onward (kptbb books), bise peshawar, in the same structure as the real papers shown above.
- Which papers are marked?
- None yet are marked question by question; Class XI · Section A, Class XII · Section A are scored instantly. Practical exams sat at the centre are not marked here.
- How is the next paper chosen?
- From the marks a student lost: the concepts behind them are ranked by marks dropped, and the new paper weights those topics. It is the same syllabus and structure, with new questions.
- When are the exams?
- Annual-I and Annual-II series. Grades A++ to U (IBCC scale).
Other KPK Boards Intermediate (HSSC) courses
- KPK Boards Intermediate (HSSC) Physics (Classes XI and XII)
- KPK Boards Intermediate (HSSC) Chemistry (Classes XI and XII)
- KPK Boards Intermediate (HSSC) Biology (Classes XI and XII)
- KPK Boards Intermediate (HSSC) Computer Science (Class XI)
- KPK Boards Intermediate (HSSC) English (Class XI)
- KPK Boards Intermediate (HSSC) Pakistan Studies (Class XII)
Start marking Mathematics scripts · See a real marked script