ICSE Class 10 maths is known for its breadth and its strong emphasis on commercial mathematics, GST, banking, and shares and dividends, alongside the usual algebra, geometry and trigonometry. The board rewards clear, complete working, so practising with full solutions to model the expected method matters as much as getting the right answer. Maths Daily Helper generates unlimited fresh ICSE Class 10 questions matched to the syllabus, each with a step-by-step solution.
Topics covered
- Commercial mathematics: GST, banking (recurring deposits), shares and dividends.
- Algebra: linear inequations, quadratic equations, ratio and proportion, factor and remainder theorems, matrices, arithmetic and geometric progressions.
- Geometry: similarity, loci, circles, constructions.
- Mensuration: cylinder, cone, sphere.
- Trigonometry: identities, heights and distances.
- Statistics and probability.
ICSE Class 10 maths exam pattern
The ICSE paper is 80 marks over 2.5 hours, split into two sections:
| Section | Structure | Marks |
|---|---|---|
| A | Compulsory — every question must be attempted | 40 |
| B | Choice-based — attempt any 4 of 6 long questions | 40 (10 each) |
Because Section B lets you choose which questions to attempt, it pays to be genuinely strong in at least five of the six topics it draws from, not just familiar with all of them, so you have a real choice on exam day rather than being forced into your weakest area.
Try a few ICSE Class 10 problems
Work each one out first, then check your steps.
An article costs ₹2,000 and attracts GST at 18%. Find the total amount paid.
1. GST = 18% of 2000 = 0.18 × 2000 = 360.
2. Total = cost + GST = 2000 + 360.
Answer: ₹2,360.
Find the annual dividend on 100 shares of face value ₹10 each, paying a dividend of 8%.
1. Total face value = 100 × 10 = ₹1,000.
2. Dividend = 8% of 1000 = 0.08 × 1000.
Answer: ₹80.
Solve x² − 3x − 10 = 0.
1. Find two numbers multiplying to −10 and adding to −3: −5 and 2.
2. Factorise: (x − 5)(x + 2) = 0.
3. So x = 5 or x = −2.
Answer: x = 5 or x = −2.
If A = [[1, 2], [3, 4]], find 2A.
1. Multiply every element by the scalar 2.
2. 2A = [[2, 4], [6, 8]].
Answer: [[2, 4], [6, 8]].
Prove that sin²θ + cos²θ = 1 holds for θ = 30° by substitution.
1. sin 30° = 1/2, so sin²30° = 1/4. cos 30° = √3/2, so cos²30° = 3/4.
2. Add: 1/4 + 3/4 = 4/4 = 1.
Verified: sin²30° + cos²30° = 1.
Two similar triangles have areas in the ratio 9 : 16. Find the ratio of their corresponding sides.
1. For similar triangles, the ratio of areas equals the square of the ratio of sides.
2. So (side ratio)² = 9/16, giving side ratio = √(9/16) = 3/4.
Answer: 3 : 4.
Find the curved surface area of a cylinder of radius 7 cm and height 10 cm. (Use π = 22/7.)
1. Curved surface area = 2πrh.
2. = 2 × (22/7) × 7 × 10 = 2 × 22 × 10.
Answer: 440 cm².
Find the 10th term of the AP: 5, 8, 11, 14, …
1. First term a = 5, common difference d = 3.
2. nth term aₙ = a + (n − 1)d = 5 + (10 − 1)(3) = 5 + 27.
Answer: 32.
Common mistakes students make in ICSE Class 10 maths
- Not showing the GST/discount calculation as separate steps. ICSE examiners award marks for each stage of a commercial maths problem; combining steps into one line risks losing method marks even with the right final answer.
- Choosing the wrong 4 of 6 in Section B. Skimming all six questions before committing avoids starting a question you can't actually finish.
- Rounding too early in mensuration. Carry exact fractions (like 22/7) through the working and round only the final answer, or intermediate rounding compounds into a wrong final figure.
- Forgetting to state units in commercial maths. An answer of "360" instead of "₹360" can lose a mark even when the number is correct.
- Mixing up face value and market value in shares questions. Dividend is calculated on face value, not market value; confusing the two is one of the most common errors in this topic.
Practise every topic, unlimited
Choose ICSE Class 10 and any topic. Get a fresh question each time, with hints and full solutions.
Open Maths Daily Helper →A daily routine for the ICSE board exam
The ICSE paper rewards full, well-presented working, so practise writing out every step, not just the final answer. Ten to fifteen questions a day across two or three topics keeps the wide syllabus fresh. Give the commercial mathematics topics regular attention since they carry reliable marks and reward careful arithmetic. Closer to the exam, generate full sample papers and time yourself so presentation and pace become automatic.
Frequently asked questions
Is the practice aligned to the ICSE Class 10 syllabus?
Yes. Questions follow the ICSE Class 10 curriculum, covering commercial mathematics (GST, banking, shares and dividends), algebra (quadratic equations, ratio and proportion, matrices), geometry (similarity, circles, constructions), mensuration, trigonometry, statistics and probability.
How is ICSE maths different from CBSE?
The ICSE Class 10 syllabus places more emphasis on commercial mathematics such as GST, banking and shares and dividends, and on certain geometry topics. Maths Daily Helper generates questions matched to the ICSE syllabus specifically.
Is it free?
Yes — you can start for free, with no card. The free plan gives you 50 practice questions and 3 full exam papers every month, with every feature unlocked. Paid plans start at ₹420 a month if you want a bigger allowance.
Does it generate full ICSE sample papers?
Yes. You can generate a full-length sample paper matching the real ICSE Class 10 structure (Section A compulsory, Section B choice-based, 80 marks, 2.5 hours), attempt it under timed conditions, and get it graded with complete solutions.
Can I choose the difficulty level?
Yes. Every question can be generated at Easy, Medium, or Hard difficulty, so you can warm up on a topic before moving to board-level difficulty.
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