01. Goods & Services Tax (GST)
Intra vs Inter-State
Input Tax Credit (ITC)
Net Tax Payable
2026 Paper (4M)
Q1(ii) [1M], Q4(ii) [3M]
ICSE Class 10 Maths: Chapter-Wise PYQs
Practise by chapter and use selected solved papers for timed revision. The chapter links show where topics appeared in the 2026 paper; use them as review, not as a prediction for the next exam.
24 Chapters
80-Mark Written Paper
Step-by-Step Solutions
Board Structure
Exam Pattern & Study Focus
80-mark written paper (3 hours) + 20 marks Internal Assessment. Check the CISCE 2027 syllabus and 2026 specimen paper. Topics in a specimen are practice examples; questions may come from any part of the syllabus.
Section A • 40 Marks
Mandatory- Q1 (15 Marks): 15 single-answer MCQs drawn from the syllabus.
- Q2 (12 Marks): 3 sub-parts (4+4+4 marks) drawn from the syllabus.
- Q3 (13 Marks): 3 sub-parts (4+4+5 marks) drawn from the syllabus.
Section B • 40 Marks
Attempt 4 of 7 · 10 marks each- Statistics: Practise grouped data, graphs, and reading values from scales.
- Quadratics & progressions: Solve equations and use general-term and sum formulas.
- Geometry & circles: Apply angle and tangent properties, and state the reasons for each step.
- Mensuration & coordinate geometry: Review composite solids, coordinate methods, and line equations.
Chapter marks are not fixed. The cards below map the 2026 paper for review; prepare every area in the current syllabus rather than relying on a predicted chapter weight.
02. Banking (Recurring Deposit)
Interest Calculation
Maturity Value
Monthly Deposit (P)
2026 Paper (4M)
Q1(iv) [1M], Q8(i) [3M]
03. Shares and Dividends
Face vs Market Value
Annual Income
Percentage Return
2026 Paper (4M)
Q1(vi) [1M], Q6(i) [3M]
04. Linear Inequations
Replacement Sets (N, W, Z, R)
Number Line Plotting
Negative Multiplication
2026 Paper (3M)
Q9(i) [3M Number Line]
05. Quadratic Equations
Quadratic Formula
Discriminant (D = b²−4ac)
Speed-Time Word Problems
2026 Paper (9M)
Q1(ix) [1M], Q5(iii) [4M], Q6(iii) [4M]
06. Factorisation & Remainder Theorem
Remainder f(a)
Factor Theorem f(a)=0
Cubic Complete Factoring
2026 Paper (5M)
Q1(xii) [1M], Q3(i) [4M Factor Thm]
07. Matrices
Matrix Compatibility
Multiplication (Row × Col)
Identity Matrix (I)
2026 Paper (5M)
Q1(xiv) [1M], Q2(ii) [4M Algebra]
08. Arithmetic Progression (AP)
General Term Tn
Sum of Terms Sn
Consecutive AP Terms
2026 Paper (4M)
Q2(i) [4M Terms & S20]
09. Geometric Progression (GP)
Common Ratio (r)
General Term (arn-1)
Sum of n Terms
2026 Paper (4M)
Q1(xv) [1M], Q8(ii) [3M 3 Terms]
10. Ratio and Proportion
Componendo & Dividendo
Mean Proportion (b² = ac)
k-Method Proofs
2026 Paper (4M)
Q1(i) [1M], Q10(i) [3M Componendo]
11. Reflection
Reflection in Axes & Origin
Invariant Points
Perimeter & Area of Shapes
2026 Paper (4M)
Q8(iii) [4M Graph Polygon]
12. Section & Mid-Point Formula
Internal Division (m1:m2)
Axis Division Ratio k:1
Midpoint & Centroid
2026 Paper (4M)
Q1(xiii) [1M], Q5(ii) [3M Axis Ratio]
13. Equation of a Straight Line
Slope m = tan θ
Parallel (m1=m2)
Perpendicular (m1m2=−1)
2026 Paper (4M)
Q1(v) [1M], Q9(ii) [3M Perpendicular]
14. Similarity of Triangles
AA / SAS / SSS Criteria
Area Ratio = (Side Ratio)²
Map & Model Scale Factor
2026 Paper (5M)
Q1(xi) [1M], Q4(iii) [4M Trapezium]
15. Loci (Locus & Constructions)
Equidistant from 2 Points (⊥ Bisector)
Equidistant from 2 Lines (∠ Bisector)
Fixed Distance (Circle/Parallel)
2026 Paper (2M)
Q3(iii) [Part a, 2M Equidistant]
16. Circles (Angle Properties)
Angle at Centre = 2 × Circ
Angles in Same Segment
Cyclic Quad (Opp = 180°)
2026 Paper (5M)
Q1(viii) [1M], Q2(iii) [4M Tangent]
17. Circles (Tangent Properties)
Radius ⊥ Tangent
Alternate Segment Theorem
Secant PT² = PA × PB
2026 Paper (4M)
Q10(iii) [4M Alternate Segment]
18. Geometric Constructions
Tangents from External Point
Circumscribed Circle
Inscribed Circle
2026 Paper (3M)
Q3(iii) [Part b, 3M Incircle]
19. Mensuration: Solids & Combinations
Cylinder: πr²h & 2πrh
Cone: (1/3)πr²h & πrl
Sphere / Hemisphere
2026 Paper (9M)
Q1(vii) [1M], Q3(ii) [4M], Q9(iii) [4M]
20. Trigonometric Identities
sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
Conjugate Multiplication
2026 Paper (3M)
Q4(i) [3M Prove Identity]
21. Heights and Distances
Angles 30°, 45°, 60°
Elevation vs Depression
Two-Observer 2D Problems
2026 Paper (5M)
Q7(i) [5M Flagpole 60°/45°]
22. Measures of Central Tendency (Mean)
Direct Method: ∑fx / ∑f
Assumed Mean Method
Step-Deviation Method
2026 Paper (4M)
Q1(iii) [1M], Q6(ii) [3M Step-Dev]
23. Ogives & Histograms
Plot at Upper Limits
Median (N/2), Quartiles
Mode from Histogram
2026 Paper (10M)
Q5(i) [4M Modal], Q7(ii) [6M Ogive]
24. Probability
P(E) = n(E) / n(S)
Pack of 52 Cards (12 Face)
Complementary P(not E)
2026 Paper (4M)
Q1(x) [1M], Q10(ii) [3M Cards 1-25]
Selected Papers
Selected Full-Paper Solutions
Solutions are available for 2017–2020 and 2023–2026. The 2022 semester and 2014–2016 papers do not have solution pages here yet.
2026 Board Examination
ICSE Class 10 Mathematics 2026 Solved Paper (Code: T26 511)
The full 80-mark paper with step-by-step solutions, examiner notes, chapter mapping, and 15 vector diagrams.
2026 Solved
2026 Improvement
2025 Solved
2024 Solved
2023 Solved
2022 Sem-2
2022 Sem-1
2020 Solved
2019 Solved
2018 Solved
2017 Solved
2016
2015
2014
Examiner Feedback
Common Errors in the 2025 Report
Advice based on the CISCE Analysis of Pupil Performance 2025: Mathematics.
State geometry reasons
Name angles precisely and state the property used for each equality. The report notes errors in matching corresponding angles and sides.
Read graph scales carefully
Write values with their stated units. The report records errors such as writing ₹6–₹8 instead of ₹6,000–₹8,000 and confusing median with median class.
Show units; round at the end
Use the required units and keep exact values through the working. Round only at the final step when the question asks for it.
Board FAQs
Frequently Asked Questions
Are calculators allowed in ICSE Class 10 Maths?
The 2026 CISCE specimen provides mathematical tables and does not list a calculator as a permitted aid. Follow the instructions on the current examination paper and your school's guidance.
Which questions in Section B are the most scoring?
No four questions are guaranteed to be easiest. Read all seven, then choose the four where you can set out the method clearly and check your result. Practise across the full syllabus.
Do examiners award step marks if my final answer is wrong?
Show all essential working. The CISCE specimen warns that omitting essential working can cost marks; each question's marking scheme determines how its steps are assessed.
What are the best reference books for ICSE Maths?
Start with the current CISCE syllabus, your school's prescribed textbook, and the official specimen paper. Use a reference book for extra practice and check that its edition matches the syllabus.