ICSE Class 9 Maths Syllabus 2025, Exam Pattern, Chapter-Wise Syllabus

ICSE Class 9 Maths syllabus for 2025 has been officially released by CISCE. Mathematics is a crucial subject that builds logical thinking, problem-solving skills, and numerical ability. It lays the foundation for higher-level concepts in Class 10 and beyond.

The syllabus covers a variety of topics that help students understand both theoretical concepts and real-world applications. From algebra and geometry to statistics and trigonometry, the subject offers a well-rounded approach to mathematics.

ICSE Class 9 Maths Syllabus 2025 Overview

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ICSE Class 9 Maths Syllabus 2025

The course outline contains complete information about how the exam is set up. It states clearly that:

• The exam will go on for two and a half hours.
• A total of 80 marks are available for the written test.
• The paper is divided into two parts.
• The first part has short answer questions. It's important to note that there are no choices given, so all questions in the first part must be answered.
• The second part has seven questions, but students only need to answer four out of the seven.

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ICSE Class 9 Maths Syllabus 2025

ICSE Class 9 Mathematics Syllabus provides all the important details that help students plan and organise their studies throughout the academic year. It focuses on building strong mathematical skills, logical reasoning, and real-life application of concepts. 

The syllabus is divided into eight major units, each covering essential chapters and concepts. Here's the list of chapters and what they include:

1. Pure Arithmetic

2. Commercial Maths

• Interest compounded including half-yearly.
• Using the formula to find out one quantity given different combinations of A, P, r, n, CI and SI; including difference between CI and SI type. Rate of growth and depreciation.

3. Algebra

Expansions

• (a ± b)2
• (a ± b)3
• (x ± a)(x ± b)
• (a ± b ± c)2

• a2 – b2
• ax2 + bx + c, by dividing the middle term.
• a3 ± b3

• Elimination
• Substitution
• Cross Multiplication method

4. Geometry

Triangles

Congruency: four cases: SSS, SAS,

AAS, and RHS. Explanation using cutouts. Basic uses.

• Confirmation and straightforward uses of midpoint theorem and its opposite.
• Equal intercept theorem: confirmation and easy use

• Both sets of opposite sides have the same length (no proof provided).
• One set of opposite sides is both parallel and equal in length (no proof provided).
• Both sets of opposite angles are equal.
• In a rectangle, the diagonals are always of equal length; in a square, they are equal and intersect at right angles.
• The diagonals divide each other in half and also divide the parallelogram into two equal parts.
• A rhombus is a special kind of parallelogram where the diagonals intersect at right angle

• A line drawn from the middle of a circle, cutting a chord that isn't a diameter, is at a right angle to the chord.
• A line going straight up from the centre cuts the chord in half (no proof).
• Chords that are the same length are the same distance from the centre.
• Chords that are the same distance from the centre are always the same length (no proof).
• Only one circle passes through three given points that are not in a straight line.

• If two arcs make the same angle at the centre, they are equal; this is also true the other way around.
• If two chords are the same length, they separate equal arcs, and this is true the other way around (without proof).

5. Statistics

• Identifying and comprehending raw, arranged, and categorized information.
• Creating a table for raw data using tally marks exclusively.
• Understanding discrete and uninterrupted factors.
• Average and middle value for individual data points.
• Sections, edges, and limits for categorized information.
• Occurrence, table of occurrence, and size of categories for grouped data.
• Grouped distributions of frequency: the process and necessity of transforming separate intervals into continuous ones.
• Creating a line graph to represent frequency.

6. Mensuration

1. The distance around and the space inside a triangle, and formulas like Heron's for its area.
2. Circle: The distance around and the space inside. Sectors (excluding semicircles and quarter-circles) are not covered. Real-world problems involving Inner and Outer area.
3. Surface area and volume of 3-D shapes: rectangular box and cube, with problems including:

• Understanding that volume equals the area of the cross-section times height.
• Cost considerations.
• Open/closed boxes/cubes.

7. Trigonometry

• Trigonometric Ratios: cosine, sine, tangent of an angle and their reciprocals.
• Trigonometric ratios of standard angles – 0, 30, 60, 90, 45, degrees. Evaluation of an expression involving these ratios.
• Simple 2-D problems involving only one right-angled triangle.
• Concept of trigonometric ratios of complementary angles and their direct application:

sin A = cos (90 – A), cos A = sin (90 – A)

sec A = cosec (90 – A), cosec A=sec (90 – A)

tan A = cot (90 – A), cot A = tan (90- A)

8. Coordinate Geometry

• Understanding dependent and independent variables.
• Working with ordered pairs, noting coordinates of points, and graphing them on the Cartesian plane.
• Graphical solution of simultaneous linear equations.
• Utilising the distance formula to find the distance between points.

ICSE Class 9 Maths Syllabus 2025 Internal Assessment

• Conduct a survey among students and show the results in graphs, like height, family members, weight, pocket money, etc.
• Plan routes for a milkman or postman.
• Manage a tuck shop or canteen.
• Explore ways to get a loan for buying a house or car, such as a bank loan, or use hire purchase for purchasing a TV or refrigerator.
• Cut a circle into equal sections with a small angle to find the circle's area using the formula A = πr2.
• Use flat cutouts to create cuboids, cubes, and pyramids to derive formulas for total surface area and volume.
• Draw circles of radius (r) on ½ cm and 2 mm graph paper. Estimate the enclosed area by counting squares. Repeat with circles of different radii. Find the pattern between observed values and the theoretical value (area = πr2).

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ICSE Class 9 Maths Syllabus Preparation Tips

• Create a timetable based on the syllabus to effectively tackle challenging subjects.
• Stick to your daily study plan and aim to complete 90% of the assigned material each day.
• Schedule regular reviews on a weekly and monthly basis. To enhance your memory retention, consider making slight changes to your study routine. Solve previous years' exam problems to better grasp potential exam questions.
• Minimise stress and anxiety related to learning by creating an engaging summary of the course. Rotate between your favourite subjects during your designated study periods.
• Keep a positive mindset and confidence. Pay close attention to in-class assignments. Enhance conceptual understanding, speed, and accuracy by working through various questions and past year papers.
• Ensure you get sufficient and restful sleep, maintain a balanced diet, and stay hydrated throughout the day.