ICSE Class 10 Mathematics: A Chapter-Wise Practice Plan

Maths in ICSE Class 10 covers a wide syllabus, and without a plan, students often waste time on chapters they already know well. This guide breaks the subject into chapters, tells you how much each one is worth, and gives you a practical schedule to follow. Use the chapter list below to jump to the section you need.

ICSE Class 10 Maths Syllabus 2026: Full Chapter List

The ICSE Class 10 Maths syllabus, set by the Council for the Indian School Certificate Examinations (CISCE), has 21 chapters grouped under four broad units: Commercial Mathematics, Algebra, Geometry, and Mensuration, Trigonometry, Statistics and Probability. Knowing the full list first helps you plan your revision instead of studying randomly.

Chapter	Unit
GST (Goods and Services Tax)	Commercial Mathematics
Banking	Commercial Mathematics
Shares and Dividends	Commercial Mathematics
Linear Inequations	Algebra
Quadratic Equations	Algebra
Ratio and Proportion	Algebra
Factorisation of Polynomials	Algebra
Matrices	Algebra
Arithmetic Progression	Algebra
Coordinate Geometry (Reflection, Section Formula, Equation of a Line)	Coordinate Geometry
Similarity	Geometry
Loci	Geometry
Circles	Geometry
Constructions	Geometry
Mensuration (Cylinder, Cone, Sphere)	Mensuration
Trigonometric Identities	Trigonometry
Heights and Distances	Trigonometry
Graphical Representation (Histograms, Ogives)	Statistics
Measures of Central Tendency	Statistics
Probability	Probability

Print this list or copy it into a notebook. Tick off each chapter once you finish studying it and again once you finish practising it. This double-tick method keeps you honest about the difference between “read once” and “actually practised.”

ICSE Class 10 Mathematics Chapter-Wise Weightage & Marks Distribution

Marks weightage tells you which chapters bring in more marks, so you can decide where to spend more time. ICSE Maths papers usually carry 80 marks for the written exam and 20 marks for internal assessment, split across Section A (compulsory, 65 marks) and Section B (choice-based, 35 marks).

Here is the approximate weightage based on past ICSE board papers:

Unit	Approx. Weightage
Commercial Mathematics	9-11 marks
Algebra	18-20 marks
Geometry	15-17 marks
Mensuration	8-10 marks
Trigonometry	8-9 marks
Statistics	8-10 marks
Probability	3-4 marks
Coordinate Geometry	9-11 marks

High-weightage chapters to prioritize: Quadratic Equations, Arithmetic Progression, Circles, Similarity, and Coordinate Geometry. These five chapters together often account for close to 40% of the paper. If you are short on time before the exam, start here.

Chapter-Wise Practice Plan for ICSE Class 10 Maths (Core Section)

Each chapter below follows the same format: key concepts, common mistakes, days needed, and sample practice questions. Follow this format for every chapter, not just the ones listed as examples here, since consistent practice matters more than the order you follow.

Commercial Mathematics: GST, Banking, Shares & Dividends Practice Plan

This unit tests calculation speed and understanding of real-life money matters like tax, bank savings, and stock investments. Students often lose marks here due to silly calculation errors, not because the concepts are hard.

Key concepts:

• GST calculation on goods and services, including CGST and SGST split

• Recurring Deposit (RD) accounts and interest calculation

• Face value, market value, and dividend calculation on shares

Common mistakes:

• Confusing CGST and SGST rates (each is half of the total GST rate)

• Forgetting to convert months into years while calculating RD interest

• Mixing up face value with market value in share questions

Days to allocate: 6–7 days (2–3 days per topic)

Practice questions:

1. Find the CGST and SGST paid on an article marked at ₹2,500 with 18% GST, sold within the same state.

2. A man deposits ₹800 per month in an RD account for 3 years at 8% interest. Find the maturity value.

3. A person buys 200 shares of face value ₹10 at a premium of ₹2. Find the total investment.

Algebra: Quadratic Equations, Linear Inequations Practice Plan

Algebra carries the highest weightage in the paper, so strong practice here directly improves your overall score. Quadratic Equations alone can appear in 2–3 different question types, from solving equations to word problems.

Key concepts:

• Solving quadratic equations by factorisation and the quadratic formula

• Nature of roots using the discriminant

• Solving and graphing linear inequations on a number line

Common mistakes:

• Sign errors while applying the quadratic formula

• Forgetting to reverse the inequality sign when multiplying or dividing by a negative number

• Skipping verification of roots in word problems

Days to allocate: 10–12 days across both topics

Practice questions:

1. Solve: x² − 5x + 6 = 0 by factorisation.

2. Solve the inequation: 3x − 2 ≤ 10, x ∈ N. Represent the solution on a number line.

3. The product of two consecutive positive integers is 240. Find the integers.

Coordinate Geometry Practice Schedule for ICSE Class 10

Coordinate Geometry in ICSE combines three topics: reflection, section formula, and equation of a line. Each topic is short but appears almost every year, making this a high-return chapter for the time it takes to master.

Key concepts:

• Finding the image of a point under reflection in the x-axis, y-axis, or origin

• Using the section formula to find a point dividing a line in a given ratio

• Finding the slope and equation of a line using two points or point-slope form

Common mistakes:

• Mixing up the section formula ratio order (m:n vs n:m)

• Sign errors when reflecting points in the x-axis or y-axis

• Confusing slope-intercept form (y = mx + c) with point-slope form

Days to allocate: 5–6 days

Practice questions:

1. Find the image of the point (3, −4) when reflected in the y-axis.

2. Find the point which divides the line joining (2, 3) and (7, 8) in the ratio 2:3.

3. Find the equation of the line passing through (1, 2) with slope 3.

Geometry: Circles, Similarity, Loci Practice Plan

Geometry has the second-highest weightage after Algebra and needs regular diagram practice, not just theory reading. Circle theorems and similarity proofs are common sources of lost marks because students skip drawing accurate figures.

Key concepts:

• Circle theorems: angles in the same segment, cyclic quadrilaterals, tangent properties

• Similarity of triangles using AA, SAS, and SSS criteria

• Loci rules for equidistant points, angle bisectors, and perpendicular bisectors

Common mistakes:

• Applying the wrong circle theorem without checking the given conditions

• Not stating the correct similarity criterion in proofs

• Drawing loci freehand instead of using a compass and ruler

Days to allocate: 10–12 days

Practice questions:

1. In a cyclic quadrilateral ABCD, angle A = 70°. Find angle C.

2. Prove that triangles ABC and PQR are similar if AB/PQ = BC/QR = AC/PR.

3. Draw the locus of a point equidistant from two fixed points A and B, 6 cm apart.

Mensuration: Surface Area & Volume Practice Questions

Mensuration in ICSE Class 10 focuses on cylinders, cones, spheres, and their combinations. Most questions ask you to find surface area, volume, or convert one solid shape into another.

Key concepts:

• Curved surface area (CSA) and total surface area (TSA) formulas for cylinder, cone, and sphere

• Volume formulas for the same three solids

• Combined solids, like a cone on top of a cylinder, and melting-and-recasting problems

Common mistakes:

• Using diameter instead of radius in formulas

• Forgetting to add or subtract the correct surfaces in combined solids

• Not converting units (cm to m, or vice versa) before calculating

Days to allocate: 6–7 days

Practice questions:

1. Find the volume of a cone with radius 7 cm and height 24 cm.

2. Find the total surface area of a cylinder with radius 5 cm and height 12 cm.

3. A metallic sphere of radius 6 cm is melted and recast into small cones of radius 3 cm and height 4 cm. Find the number of cones formed.

Trigonometry Practice Plan for ICSE Class 10 Maths

Trigonometry in this class covers identities and heights-and-distances problems that use angles of elevation and depression. This chapter needs formula memorisation along with diagram-based practice.

Key concepts:

• Basic trigonometric identities (sin²θ + cos²θ = 1, and related identities)

• Values of trigonometric ratios for standard angles (0°, 30°, 45°, 60°, 90°)

• Solving height and distance problems using angle of elevation and depression

Common mistakes:

• Forgetting standard angle values under exam pressure

• Drawing the wrong diagram for elevation vs depression problems

• Mixing up which side is opposite, adjacent, or hypotenuse

Days to allocate: 7–8 days

Practice questions:

1. Prove that (1 − sin²θ) × sec²θ = 1.

2. From the top of a tower 50 m high, the angle of depression of a car is 30°. Find the distance of the car from the base of the tower.

3. Find the value of sin 30° + cos 60° − tan 45°.

Statistics & Probability Chapter-Wise Questions

Statistics tests your ability to organise data and calculate averages, while Probability tests basic chance calculations. Both chapters are scoring if you practise the standard question formats repeatedly.

Key concepts:

• Mean, median, and mode of grouped and ungrouped data

• Drawing histograms and ogives (cumulative frequency curves)

• Basic probability formula: favourable outcomes divided by total outcomes

Common mistakes:

• Using the wrong class interval width while drawing histograms

• Errors in reading the median from an ogive graph

• Forgetting to check if outcomes are equally likely before applying the probability formula

Days to allocate: 6–7 days

Practice questions:

1. Find the median of the following data: 12, 15, 18, 20, 22, 25, 28.

2. Draw a histogram for the given frequency distribution of student marks (use your own data set from the textbook).

3. A bag contains 5 red and 7 blue balls. Find the probability of drawing a red ball.

Weekly/Monthly Study Timetable for ICSE Maths

A fixed timetable stops you from repeatedly studying only your favourite chapters. Choose either an 8-week or 12-week plan based on how much time you have before the exam.

12-week plan (for students starting early):

Weeks	Focus
Week 1-2	Commercial Mathematics (GST, Banking, Shares)
Week 3-5	Algebra (Quadratic Equations, Linear Inequations, AP, Factorisation, Matrices)
Week 6	Coordinate Geometry
Week 7-9	Geometry (Circles, Similarity, Loci, Constructions)
Week 10	Mensuration
Week 11	Trigonometry
Week 12	Statistics, Probability, and full revision

8-week plan (for students with less time):

Weeks	Focus
Week 1	Commercial Mathematics
Week 2-3	Algebra (priority: Quadratic Equations, AP)
Week 4	Coordinate Geometry
Week 5-6	Geometry (priority: Circles, Similarity)
Week 7	Mensuration and Trigonometry
Week 8	Statistics, Probability, mock tests, and revision

Set aside the last 10 days before the exam only for solving full-length previous year papers under timed conditions, not for learning new topics.

ICSE Class 10 Maths Previous Year Question Pattern

Past ICSE papers show a fairly consistent pattern year after year, which makes them useful for predicting where marks come from. Reviewing 3-5 years of papers helps you spot repeated question types instead of guessing what might come.

Common patterns observed in recent years:

• Section A almost always includes at least one question each from GST, Quadratic Equations, and Coordinate Geometry.

• Circle theorems appear nearly every year, often combined with a similarity or tangent-based question.

• Mensuration questions frequently combine two solids (like a cone and a hemisphere) rather than testing a single shape alone.

• Statistics questions usually include one graph-based question (histogram or ogive) and one calculation-based question (mean, median, or mode).

• Probability is usually worth 3–4 marks and involves simple, direct application of the formula.

Solve at least 5 previous year papers fully before the exam, and time yourself to 2.5 hours to match the actual exam duration.

Common Mistakes Students Make in ICSE Maths Boards

Most marks are lost not from not knowing the concept, but from avoidable errors during the exam. Watch out for these:

• Skipping steps: ICSE gives step marks, so even a correct final answer without proper working can lose marks.

• Poor diagram labelling: Geometry and Loci answers need clearly labelled, accurately drawn figures with a ruler and compass.

• Calculation errors under time pressure: Rushing through Commercial Mathematics and Mensuration often causes basic arithmetic slips.

• Ignoring units: Leaving out units in Mensuration and Trigonometry answers can cost marks even when the number is correct.

• Not attempting Section B fully: Some students leave Section B questions half-done because they run out of time; practising speed matters as much as knowing the concept.

• Overwriting or messy corrections: Neat presentation is part of scoring well, especially in Geometry constructions.

Quick Revision Checklist Before Boards

Use this checklist in the last week before your exam to confirm you have covered the essentials, not to start new learning.

• [ ] Revised all formulas for Mensuration, Trigonometry, and Coordinate Geometry

• [ ] Solved at least 5 full previous year papers within 2.5 hours each

• [ ] Reviewed all circle theorems with labelled diagrams

• [ ] Practised GST, RD, and Shares calculations without a calculator

• [ ] Revised standard trigonometric angle values (0°, 30°, 45°, 60°, 90°)

• [ ] Checked accuracy of loci and construction steps using a compass and ruler

• [ ] Reviewed common mistakes list and marked personal weak areas

• [ ] Packed geometry box, extra pens, and admit card the night before

FAQs on ICSE Class 10 Maths Preparation

How many hours should I study Maths daily for ICSE boards?

Most students benefit from 1.5 to 2 hours of focused daily practice, split between learning a concept and solving problems. Consistency across weeks matters more than long, irregular study sessions.

Which chapter carries the highest weightage in ICSE Class 10 Maths?

Algebra carries the highest weightage, usually between 18 and 20 marks, mainly due to Quadratic Equations and Arithmetic Progression.

Is ICSE Class 10 Maths tougher than CBSE?

ICSE Maths has a slightly wider syllabus with more emphasis on Commercial Mathematics and detailed Geometry proofs, while CBSE focuses more on Algebra and Mensuration. Neither is objectively harder; the difficulty depends on which topics a student finds naturally easier.

Conclusion

A chapter-wise plan works because it turns a large syllabus into small, manageable targets. Follow the weightage table to prioritise your time, use the timetable to stay on track, and finish with previous year papers to test yourself under real exam conditions. Consistent practice across all chapters, rather than last-minute cramming, is what leads to a strong score in ICSE Class 10 Maths.