ICSE Class 10 Mathematics Question bank 2026-27
Built specifically for the ICSE Class X Mathematics board examination (Academic Year 2026–27), this Question Bank by FutureTopper.in covers all 15 chapters of the CISCE syllabus — Commercial Maths, Algebra, Geometry, and Statistics — in a single structured resource with stepwise solutions for every numerical.
Mathematics is won by students who understand the why behind a formula, not just the how. Every question in this book is independently authored to build that depth.
What's Inside — 15 Chapters, Complete Syllabus
Ch. | Chapter | Area | Board Marks |
1 | Goods and Services Tax (GST) | Commercial Maths | 5 |
2 | Banking — Recurring Deposit Accounts | Commercial Maths | 5 |
3 | Shares and Dividends | Commercial Maths | 5 |
4 | Linear Inequations | Algebra | 5 |
5 | Quadratic Equations | Algebra | 5 |
6 | Ratio and Proportion | Algebra | 5 |
7 | Remainder and Factor Theorem | Algebra | 5 |
8 | Matrices | Algebra | 5 |
9 | Arithmetic and Geometric Progression | Algebra | 5 |
10 | Coordinate Geometry | Geometry | 10 |
11 | Similarity of Triangles | Geometry | 5 |
12 | Circles, Tangents and Loci | Geometry | 8 |
13 | Mensuration | Geometry | 6 |
14 | Trigonometry and Heights & Distances | Geometry | 8 |
15 | Statistics and Probability | Stats | 10 |
6 Question Types Per Chapter — Exact ICSE Board Pattern
Section | Type | Format |
A | Multiple Choice Questions (MCQ) | 20 questions — 1 mark each |
A | Assertion–Reason | 5 questions — 1 mark each |
B | Very Short Answer Numericals | 12 questions — 2 marks each |
C | Short Answer Questions | 8 questions — 3 marks each |
D | Long Answer Problems | 6 questions with internal choice — 4 marks each |
E | Case-Based Questions | 3 questions — 4 marks each |
— | HOTS | 5 questions — 4 marks each |
Sample Topics Per Chapter
Ch. 1 — GST: Concept & Rates · Input Tax Credit (ITC) · Intra-State (CGST + SGST) · Inter-State (IGST) · Multi-stage Transactions · Tax Invoice Computation · Real-World Applications
Ch. 2 — Banking: Maturity Value · Rate of Interest Problems · Finding Monthly Deposit · Finding Period (n) · Reverse Calculations · Comparison of RD Accounts
Ch. 3 — Shares & Dividends: Face Value vs Market Value · Premium & Discount Shares · Dividend Calculation · Annual Income from Investment · Yield and Return
Ch. 5 — Quadratic Equations: Factorisation · Quadratic Formula · Nature of Roots (Discriminant) · Word Problems · Completing the Square
Ch. 6 — Ratio & Proportion: Properties of Proportion · Componendo & Dividendo · Continued Proportion · Algebraic Ratio Problems
Ch. 7 — Remainder & Factor Theorem: Finding Remainders without Long Division · Factorising Cubic Polynomials · Unknown Coefficients · HCF of Polynomials
What Makes This Book Different
✔ Stepwise answer key — every numerical, fully worked — Format for every solution: Given → Formula → Substitution → Calculation → Answer with units. Never just the final number.
✔ HOTS questions that separate toppers — 5 Higher Order Thinking questions per chapter require multi-concept reasoning and problem-solving in novel contexts — the exact questions that differentiate 90 from 100.
✔ Real-world Case Studies — Business scenarios (GST supply chains), banking transactions, stock market analysis, and geometry in architecture — questions framed the way ICSE board examiners increasingly test application.
✔ Internal choice in Long Answer section — Mirrors the actual ICSE board paper structure, so students practise selecting and attempting questions exactly as they will on exam day.
✔ MCQ hints included — Every MCQ carries a hint so students can self-correct and understand the reasoning, not just the answer.
✔ Key Formulas box per chapter — Every chapter opens with a curated formula reference page: every formula, identity, and definition needed for that chapter in one place. No flipping back through textbooks.
✔ Recommended time per chapter — Each chapter is tagged with a recommended practice time (2 to 2.5 hours) so students can plan revision realistically.
Ideal For
Students preparing for the ICSE Class X Mathematics board examination
Chapter-wise practice after completing each topic in class
Full-syllabus timed revision in the weeks before the board exam
Teachers setting class tests, unit tests, and pre-board papers
This is an independent publication by FutureTopper.in. It is not affiliated with or endorsed by CISCE. The term 'ICSE' indicates curriculum alignment only. All questions are independently authored.
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Reviews
The question quality and stepwise solutions are genuinely excellent. The formula boxes are very useful. The overall visual design feels a bit plain compared to some other resources. Content is strong enough to recommend without hesitation.
Input Tax Credit, intra-state and inter-state transaction questions with real-world supply chain scenarios. This is the kind of application the ICSE board increasingly tests and this material prepares you well.
Every solution follows Given → Formula → Substitution → Calculation → Answer format. Never just the final number. This approach teaches students to present solutions the way board examiners mark them.
Cylinder with hemispherical ends, cone on cylinder and other combination solid questions appear at appropriate difficulty. These are standard board question types and coverage here is thorough.
Knowing each chapter is tagged with 2 to 2.5 hours of recommended practice time helps plan revision realistically. Small addition that makes a meaningful difference to preparation scheduling.
All 15 chapters of the CISCE syllabus are covered with six question types per chapter. The stepwise solution format — Given, Formula, Substitution, Calculation, Answer with units — is exactly what ICSE examiners expect.
Finding remainders and factorising cubic polynomials without long division is a specific skill that requires dedicated practice. This chapter gives exactly the right volume of questions for mastery.
Section A Assertion-Reason questions for Mathematics require careful logical reasoning. These are well framed across all 15 chapters and provide a type of practice that is hard to find elsewhere.
Section formula, equation of line, distance between points and collinearity questions appear across all six question types. Carries 10 marks in boards and this chapter is given proper attention.
Maturity value, rate of interest problems, finding monthly deposit and reverse calculations all appear in realistic banking scenarios. The practical framing makes this chapter much more engaging.