ICSE Class 9 Papers Mathematics: 7 PDFs (2018-2025)

You can download 7 ICSE class 9 papers mathematics PDFs from this page. The set covers annual, semester, and terminal exams from 2018 to 2025. Each paper follows the CISCE-aligned Class 9 syllabus, and this page explains the paper pattern, recurring topics, and marking rules so you can use the PDFs for real exam practice.

Download ICSE Class 9 Mathematics Question Papers PDF

These are the 7 question papers PDFs hosted on icseboard.org for ICSE Class 9 Mathematics, organised by subject. Each section below explains what those papers cover before the download table.

This group contains 7 Class 9 Mathematics question papers from 2018 to 2025, including annual, semester, and second terminal exams. Each paper tests the CISCE-aligned Class 9 syllabus with an 80-mark, two-section format covering surds, algebraic identities, linear equations, trigonometry, geometry, and mensuration. Students should use these papers to practise the recurring question types and learn to show full working as the marking scheme requires.

Class 9 Maths Paper Pattern Across the 2018-2025 Set

Every paper in this set uses the same structure. The exam is split into Section A (40 marks) and Section B (40 marks). You must attempt all questions in Section A and any four questions from Section B. The total is 80 marks.

The papers differ in time allowed, so check each paper’s own instructions before you practise with a timer.

The 2018 paper lists 2½ hrs + 15 min for reading. The 2020 and 2024 papers allow 2½ hrs with 15 minutes for reading. The 2025 Second Terminal paper allows 3 hours. The 2021 and 2025 Semester/Annual excerpts do not state a duration. You can find the official board curriculum details at cisce.org.

Section A usually starts with a 15-mark multiple-choice question block in the 2024 and 2025 papers. The 2018 and 2020 papers use short-answer sub-questions carrying 3 or 4 marks each. Section B questions carry higher marks and need full working.

Recurring Question Topics in These Class 9 Papers

Certain topics appear repeatedly across the years. Knowing these helps you prioritise your revision. The frequency below is based only on the seven papers in this set.

The surds rationalisation topic is a consistent opener. The 2018 paper asks you to rationalise \frac{2}{\sqrt{5} + \sqrt{3} + \sqrt{2}}. The 2020 paper asks for \frac{4}{\sqrt{5} + \sqrt{3}}. The 2021 paper requires proving a surd expression equals 1.

The identity expansion questions are just as frequent. They give you a relation like x^2 + \frac{1}{x^2} = 7 and ask you to find x + \frac{1}{x} or x – \frac{1}{x}. You need the standard algebraic identities to solve these quickly.

How to Use These Papers for Exam Preparation

These PDFs are practice tools, not just reading material. Use them to build speed and check your working habits.

• Simulate the clock: Pick a paper, note its time allowed, and solve it in one sitting. Use the 15-minute reading time to scan Section B before you start writing.
• Show every step: The 2020 paper explicitly states that omitting essential working loses marks. Write each line of your calculation, even for a 3-mark question.
• Target the recurring topics: Practise surds, identities, and simultaneous equations first. These appear in most years and carry reliable marks.
• Check with your textbooks: Cross-reference your answers with the methods in your Class 9 ICSE books. You can also find the core ICSE books PDF free on our site for reference.

For a broader view of all subjects in this grade, see our ICSE Class 9 resource page. Pairing the papers with the chapter explanations in your textbooks is the most effective way to prepare.

Worked Examples for Recurring Class 9 Questions

Below are two worked examples modelled on the highest-frequency question types in these papers. The numbers and wording are original, but the style matches the exam pattern.

Example 1: Surds Rationalisation (3 marks)

Rationalise and simplify: \frac{6}{\sqrt{7} – \sqrt{2}}

Multiply the numerator and denominator by the conjugate (\sqrt{7} + \sqrt{2}):

\frac{6}{\sqrt{7} – \sqrt{2}} \times \frac{\sqrt{7} + \sqrt{2}}{\sqrt{7} + \sqrt{2}} = \frac{6(\sqrt{7} + \sqrt{2})}{(\sqrt{7})^2 – (\sqrt{2})^2}

The denominator becomes 7 – 2 = 5. The result is \frac{6(\sqrt{7} + \sqrt{2})}{5}. This is the final simplified form.

Example 2: Identity Expansion (4 marks)

If x + \frac{1}{x} = 5, find the value of x^2 + \frac{1}{x^2} and x^3 + \frac{1}{x^3}.

Square both sides of the given equation:

\left(x + \frac{1}{x}\right)^2 = x^2 + 2 + \frac{1}{x^2}

Substitute the value 5:

25 = x^2 + 2 + \frac{1}{x^2}

So, x^2 + \frac{1}{x^2} = 23.

For the cubic, use the identity \left(x + \frac{1}{x}\right)^3 = x^3 + 3\left(x + \frac{1}{x}\right) + \frac{1}{x^3}:

125 = x^3 + 3(5) + \frac{1}{x^3}

125 = x^3 + 15 + \frac{1}{x^3}

So, x^3 + \frac{1}{x^3} = 110.

Marking Guidance From the Paper Tags

The mark tags in brackets tell you how much working the examiner expects. A 3-mark question needs a formula, substitution, and a final answer. A 4-mark question needs an extra step, like proving a property or simplifying a complex expression.

• 15-mark MCQ (Section A): No working needed. Read the options carefully. The 2024 and 2025 papers use this format.
• 3-mark question: Show the setup, the substitution, and the answer. Omitting the substitution step can lose a mark.
• 4-mark question: Show the full method. For factorisation, write the original expression, the grouping or identity used, and the final factors.
• Section B questions: These carry higher marks. A geometry proof needs statements and reasons. A mensuration problem needs the correct formula, substitution, unit, and final answer.

Common Mistakes Students Make With These Papers

Students lose marks on these papers in predictable ways. Avoid these errors when you practise.

• Skipping the conjugate: When rationalising surds, students often multiply by the same surd instead of the conjugate. For \sqrt{5} – \sqrt{3}, the conjugate is \sqrt{5} + \sqrt{3}.
• Forgetting the cross term: When expanding \left(x + \frac{1}{x}\right)^2, students write x^2 + \frac{1}{x^2} and forget the +2. The correct expansion is x^2 + 2 + \frac{1}{x^2}.
• Not showing rough work: The 2020 and 2024 papers state that omitting essential working loses marks. Do not skip steps to save time.
• Ignoring units: In mensuration questions, a correct number without units (like cm² or cm³) can lose a mark.
• Mixing up Section B choices: You must attempt only four questions from Section B. If you start five, the examiner may only mark the first four.

Frequently Asked Questions About Class 9 Maths Papers

How many ICSE Class 9 Mathematics papers are available here?

There are 7 papers available for download. They cover the years 2018, 2020, 2021, 2024, and 2025, including semester and second terminal exams.

Do all the papers have the same time duration?

No. The 2018 paper allows 2½ hrs plus 15 minutes for reading. The 2020 and 2024 papers allow 2½ hrs. The 2025 Second Terminal paper allows 3 hours. The 2021 and 2025 Semester/Annual excerpts do not state a duration. Always check the instructions on the specific paper you are practising.

What is the marks distribution in these papers?

Each paper has 80 maximum marks. Section A carries 40 marks, and Section B carries 40 marks. You must attempt all of Section A and any four questions from Section B.

Are solutions included with these PDFs?

No. This page hosts the question papers and guidance on how to use them. The PDFs do not contain solutions. You should solve the papers yourself and check your methods against your Class 9 textbooks.

Which topics appear most often in these papers?

Surds rationalisation, algebraic identity expansion, factorisation, and simultaneous linear equations appear across multiple years. Trigonometric evaluation and coordinate geometry also recur in the 2021 and 2025 papers.

More ICSE study material on this site

• Class 9
• Class 9 Books
• ICSE Books PDF Free
• ICSE Books

Reference: CISCE-aligned ICSE Class 9 textbook material.