ICSE Class 10 Maths specimen papers: what this page covers
ICSE Class 10 Maths specimen papers are practice papers that show the Mathematics paper format, question style and working expected in the board examination. This page gives the ICSE Class 10 Maths Specimen Papers 2026 Free PDF downloads, explains the paper structure, and adds teacher-style worked examples for timed practice.
A specimen paper is not a prediction paper. It is a rehearsal. Use it to check whether you can solve commercial mathematics, algebra, geometry, mensuration, trigonometry, statistics, probability, coordinate geometry and matrices in one sitting without losing marks for missing steps.
Concept snapshot: specimen paper as a route map
Think of the ICSE Class 10 Maths specimen paper as a route map. Section A checks the whole syllabus through compulsory questions. Section B gives choice, but each chosen route still needs clear formulae, substitutions, reasons, units and final answers.
Download ICSE Class 10 Maths Specimen Papers 2026 Free PDF
The download links from the existing page are preserved below. Each PDF opens in a new tab so that students can print or save it for practice.
| Year | Paper type | Title | |
|---|---|---|---|
| 2026 | Specimen Paper | Specimen Mathematics T26 511 | Download |
| 2025 | Specimen Paper | Specimen Mathematics | Download |
| 2023 | Specimen Paper | Specimen Mathematics T23 511 | Download |
For official syllabus and specimen-paper notices, check the official CISCE website and the circulars shared by your school.
ICSE Class 10 Maths paper pattern and instructions
The 2026 specimen paper gives a written paper of 80 marks. It states three hours as the writing time and says that the first 15 minutes are for reading the question paper; students are not allowed to write during that reading time.
| Part | What the specimen paper says | How to practise |
|---|---|---|
| Section A | 40 marks; all questions are compulsory. | Attempt every part. Do not leave short questions blank. |
| Section B | 40 marks; attempt any four questions. | Choose after reading all sub-parts, not only the first line. |
| Working | All working, including rough work, must be clearly shown on the same answer sheet. | Write the formula, substitution, calculation and final answer. |
| Mathematical tables | Tables are provided. | Practise table-reading for trigonometry and statistics. |
Syllabus-specific insight: A Maths specimen paper may include objective answers, assertion-reason items, application questions, graph work, constructions, geometry proofs and multi-step numerical problems. Formula memory helps, but marks are often lost when students omit reasons, units, graph labels or essential working.
ICSE Class 10 Maths topic map for specimen-paper revision
Do not create a fixed future chapter-wise weightage from one specimen paper. A safer method is to revise every syllabus area and use the specimen paper to understand how questions are framed.
| Syllabus area | What to revise | Practice task |
|---|---|---|
| Commercial Mathematics | GST, shares, dividends and recurring deposits | Solve one GST bill and one shares or deposit problem. |
| Algebra | Inequations, quadratics, factor theorem, AP, GP and ratio | Show each transformation and check signs. |
| Geometry | Circles, tangents, similarity, loci and constructions | Write theorem reasons with angle and length statements. |
| Mensuration | Cylinder, cone, sphere and hemisphere | Identify whether the question asks for area, volume or surface area. |
| Trigonometry | Identities, trigonometric ratios, heights and distances | Draw a labelled triangle before using ratios. |
| Statistics and Probability | Mean, median, mode, ogive, histogram and probability | Prepare neat frequency tables and label graph scales. |
| Coordinate Geometry and Matrices | Section formula, line equation, reflection and matrix multiplication | Check negative signs and matrix order. |
Worked examples for ICSE Class 10 Maths practice
The examples below are original practice questions based on skills that commonly appear in ICSE Class 10 Maths specimen papers. They are not copied from a specimen paper; they show the kind of working students should practise.
Worked Example 1: Factor theorem
Question: Show that x-2 is a factor of 2x^3-3x^2-8x+12. Hence factorise the polynomial completely.
Step 1: Let \(f(x)=2x^3-3x^2-8x+12\).
Step 2: For the factor x-2, put x=2.
f(2)=2(2)^3-3(2)^2-8(2)+12=16-12-16+12=0
Step 3: Since \(f(2)=0\), x-2 is a factor by the factor theorem.
2x^3-3x^2-8x+12=(x-2)(2x^2+x-6)
2x^2+x-6=2x^2+4x-3x-6=(2x-3)(x+2)
Final answer: \(\boxed{(x-2)(2x-3)(x+2)}\).
Worked Example 2: GST after discount
Question: An article marked at ₹1500 is sold at a discount of 10\%. GST is charged at 12\% on the discounted price. Find the total amount paid.
Step 1: Find the discount.
\text{Discount}=\frac{10}{100}\times1500=150
Step 2: Subtract the discount from the marked price.
\text{Discounted price}=1500-150=1350
Step 3: Calculate GST on the discounted price, not on the original marked price.
\text{GST}=\frac{12}{100}\times1350=162
\text{Total amount}=1350+162=1512
Final answer: \boxed{₹1512}.
Worked Example 3: Mean by step-deviation
Question: Find the mean for class intervals 0-10,10-20,20-30,30-40,40-50 with frequencies 3,7,12,8,5.
Step 1: The mid-values are 5,15,25,35,45. Take A=25 and h=10.
Step 2: Compute u=\frac{x-A}{h}, so u=-2,-1,0,1,2.
Step 3: Multiply by the frequencies: fu=-6,-7,0,8,10. Hence, \sum f=35 and \sum fu=5.
\bar{x}=A+\frac{\sum fu}{\sum f}\times h
\bar{x}=25+\frac{5}{35}\times10=25+\frac{10}{7}=26.428\ldots
Final answer: \boxed{26.43}, correct to two decimal places.
How to attempt Maths specimen papers under timed conditions
- Reading phase: Use the first 15 minutes to read the full paper and mark the four Section B questions you are most likely to attempt.
- Section A phase: Attempt all compulsory parts. For objective answers, follow the instruction given in the paper.
- Section B phase: Attempt four questions whose sub-parts you can complete with working. Do not choose a question only because the first sub-part looks easy.
- Review phase: Check algebraic signs, units, theorem reasons, graph scales, construction labels and final rounding.
- Error log: After checking, write the exact cause of every error: wrong formula, missing step, calculation error, unit error or poor choice of Section B question.
Practical application: After one full timed paper, do not immediately start another. Re-attempt only the wrong questions after two or three days. This tells you whether the method has been learnt or only memorised temporarily.
Examiner’s mindset for ICSE Class 10 Maths
In Mathematics, the final answer is not the only part that matters. Marks are supported by correct formula selection, substitution, intermediate steps and a clear final statement. In geometry, the reason for a statement matters. In statistics and graph questions, labelled axes, correct scale and accurate plotting matter. In commercial mathematics, the amount on which GST or discount is applied must be clear.
The specimen-paper instruction about showing all working is important. Even when a calculation is short, write enough working to show how the answer was obtained.
Common mistakes students make in ICSE Class 10 Maths specimen papers
- Using the wrong base amount in GST: GST is calculated on the taxable price after discount, unless the question states otherwise.
- Choosing Section B too quickly: Read every sub-part before deciding. A question with an easy first part may have a harder graph, proof or construction later.
- Leaving out geometry reasons: A correct angle value without the theorem reason may lose credit.
- Mixing area and volume formulae: Check whether the question asks for curved surface area, total surface area or volume.
- Writing only answers for long problems: For non-objective questions, show the essential working on the answer sheet.
- Rounding too early: Keep exact values until the final step unless the question asks for an approximation.
Related ICSE Class 10 Maths resources
Use the ICSE Class 10 Maths resource page for subject-level revision. For textbook practice, see Selina Maths Class 10 Solutions and ML Aggarwal Solutions. For paper practice across subjects, use ICSE question papers and ICSE sample papers.
Frequently Asked Questions
Are ICSE Class 10 Maths specimen papers official?
ICSE Class 10 Maths specimen papers are model question papers issued by CISCE to show the expected paper format and question style. Students should still confirm official notices and the latest syllabus through their school or the CISCE website.
Is the ICSE Class 10 Maths paper 80 marks or 100 marks?
The written Mathematics specimen paper is for 80 marks. The subject total is normally calculated with internal assessment as prescribed by CISCE, so students should treat the specimen paper as practice for the external written paper.
What is the correct time limit for ICSE Class 10 Maths?
The specimen paper states three hours as the writing time. It also states that the first 15 minutes are for reading the question paper and that students are not allowed to write during that reading time.
Should I solve Section A or Section B first in ICSE Class 10 Maths?
Practise Section A first because it is compulsory and covers many areas of the ICSE Class 10 Maths syllabus. After that, choose the four Section B questions where your method and accuracy are strongest.
Do I need to show working for objective questions in ICSE Class 10 Maths?
For the objective question in the specimen paper, the instruction is to write the correct answers only. For longer Maths questions, all essential working must be shown because omission of working can lead to loss of marks.
How should I use older ICSE Class 10 Maths specimen papers?
Use older specimen papers after solving the latest paper once. Compare question types, revise weak topics such as algebra, geometry, trigonometry and statistics, and re-attempt wrong answers without looking at the solution.
Downloads & PDF Resources
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