Class 9 Mathematics: Annual Paper 2 - Full Syllabus
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How to sit Paper 2
Key points
The paper carries 80 marks over three hours, in 38 compulsory questions.
Its five sections are split by question type, not by chapter.
Section A is Q1 to Q20: eighteen multiple-choice and two assertion-reason, 1 mark each.
Section B is Q21 to Q25, five questions of 2 marks.
Section C is Q26 to Q31, six questions of 3 marks.
Section D is Q32 to Q35, four long answers of 5 marks.
Section E is Q36 to Q38, three case studies of 4 marks split 1, 1 and 2.
The 2-mark part of every case study offers a choice between two tasks.
Sections B, C and D each carry two questions with an internal choice.
Only the first attempt at a choice is marked.
Marks are awarded for steps, so working must be shown.
Impossible roots must be rejected with a reason.
Use pi as 22/7 unless the question says otherwise.
Calculators are not permitted.
Section D alone is worth a quarter of the paper.
Leave five minutes to check signs, units and rejected roots.
Full explanation
What this paper is
This is a full annual-examination paper for Class 9 Mathematics: 80 marks, three hours, 38 questions in five sections split by question type, exactly as the board sets its paper. It covers the whole syllabus: every chapter of Ganita Manjari Part I and Part II, with marks split by unit as the board's design sets them (Number System 7, Algebra 20, Coordinate Geometry 4, Geometry 25, Mensuration 14, Statistics and Probability 10).
It is not a chapter test. Its value is in making you switch between algebra, geometry, mensuration and statistics against the clock - the one thing a chapter test never asks.
The blueprint
| Section | Questions | Type | Each | Total |
|---|---|---|---|---|
| A | Q1-Q18 | Multiple choice | 1 | 18 |
| A | Q19-Q20 | Assertion-reason | 1 | 2 |
| B | Q21-Q25 | Very short answer | 2 | 10 |
| C | Q26-Q31 | Short answer | 3 | 18 |
| D | Q32-Q35 | Long answer | 5 | 20 |
| E | Q36-Q38 | Case study (1 + 1 + 2) | 4 | 12 |
| 38 | 80 |
What this particular paper leans on
Recurring decimals and root 5 on the number line; identities, the Gauss sum, GPs and the Tower of Hanoi; a linear relationship and a pair of linear equations; parallelograms and triangles from coordinates; counterexamples and converses; parallelogram proofs, the Midpoint Theorem and a trapezium; chords and angles in a circle; Heron against a right-triangle check, and a cone's slant height, curved surface and volume; a with-replacement tree diagram; and weighted means.
How to spend the three hours
- 15 minutes reading, deciding now which option you will take on every internal choice.
- 30 minutes on Section A. Twenty one-markers at about ninety seconds each; if a question needs a page of working, it is not a one-marker and you have misread it.
- 25 minutes on Section B and 40 minutes on Section C.
- 45 minutes on Section D - four long answers, the biggest block of marks in the paper.
- 20 minutes on the three case studies, then 5 minutes checking signs, units and that every root you rejected was rejected for a stated reason.
Where marks are lost
- Answers without working. Maths is marked in steps; a bare final answer to a 3-marker can earn one mark out of three.
- Answering both options. Only the first attempt is marked.
- Not rejecting impossible roots. A negative length, age or speed must be struck out, and the marking scheme gives a mark for saying why.
- Dropping units in mensuration, and leaving $\pi$ unsubstituted when the question says to use $\frac{22}{7}$.
- Skipping the case study because the passage is long. Its first two parts are usually the easiest marks in the paper.
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