On this page
ICSE maths is the one Class 10 paper that runs for three hours, and its first unit, commercial mathematics, has no close match in most other boards. This post sets out what CISCE lists for ICSE 2027, how the specimen paper is built, how internal assessment is graded, and one recurring deposit problem worked in full.
What does the ICSE 2027 maths syllabus include?
The CISCE ICSE 2027 Mathematics syllabus gives Class X "one paper of three hours duration carrying 80 marks and Internal Assessment of 20 marks." It adds that some questions may need logarithmic and trigonometric tables. The seven units are:
Commercial Mathematics: Goods and Services Tax, including CGST and SGST and inverse cases; recurring deposit accounts; shares and dividends (brokerage and fractional shares are not included).
Algebra: linear inequations, quadratic equations and the nature of roots, ratio and proportion, the remainder and factor theorems (degree up to 3), 2 × 2 matrices, arithmetic and geometric progressions, and coordinate geometry (reflection, section and midpoint formulae, equation of a line).
Geometry: similarity, loci, circle theorems and constructions.
Mensuration: surface area and volume of cylinders, cones and spheres, including combinations and recasting. Frustum problems are not included.
Trigonometry: identities and heights and distances, with no more than two right-angled triangles.
Statistics: mean by the direct, short-cut and step-deviation methods, median, mode, histograms, ogives and the interquartile range.
Probability: simple problems on single events.
CISCE issues a syllabus for each examination year, so check yours.
How is the ICSE 2027 maths paper built?
The ICSE 2027 Mathematics specimen paper allows three hours after 15 minutes of reading time. Section A (40 marks) is compulsory: 15 one-mark multiple-choice items, then two questions with 4- and 5-mark parts. In Section B you attempt any four of seven questions, each worth 10. Mathematical tables are provided.
Two instructions decide many marks: all working, including rough work, must be shown on the same sheet, and "Omission of essential working will result in loss of marks." The draft marking scheme at the back shows the steps examiners expect.
How is the 20-mark internal assessment graded?
You complete at least two assignments set by your teacher. The syllabus suggests projects such as surveying bank accounts and interest rates, planning a home budget, or studying shares and dividends from a newspaper. Your teacher and an External Examiner each award 10 marks. A grid scores five criteria, preparation, concepts, computation, presentation and understanding, at up to 4 marks each.
Worked example: a recurring deposit
The syllabus gives the formulae I = P × n(n + 1) ÷ (2 × 12) × r ÷ 100 and MV = P × n + I, where P is the monthly instalment and n the number of months.
Meena deposits ₹500 every month for 1 year in a recurring deposit account at 6% per annum. Find the interest and the maturity value.
Write n in months. n = 12.
Work out n(n + 1) ÷ 24. 12 × 13 = 156, and 156 ÷ 24 = 6.5.
Interest. I = 500 × 6.5 × 6 ÷ 100 = 3250 × 0.06 = ₹195.
Maturity value. MV = 500 × 12 + 195 = 6000 + 195 = ₹6,195.
Common mistakes: putting n = 1 (years) instead of 12 (months); dropping the 12 in 2 × 12; and adding the interest to one instalment instead of to the total deposited. For more practice, see our posts on ICSE recurring deposit problems and ICSE GST problems.
A quick algebra check in the same style: for x² − 6x + 9 = 0, the discriminant is b² − 4ac = 36 − 36 = 0, so the equation has two equal real roots, both x = 3.
Why mix chapters in practice?
Chapter-wise exercises tell you the method before you start. In Rohrer and Taylor's 2007 study, college students who practised several problem types randomly mixed did far better on a test one week later than students whose practice was blocked by type, the way most textbook exercises are. Section B mixes units in one question, so practise the same way.
A practice routine for the term
Daily, 20 minutes: three mixed problems from three different units, working shown in full.
Weekly: one Section B question in 22 minutes, marked against the specimen scheme.
Fortnightly: one construction and one ogive, drawn neatly with a ruler and compass.
Before the exam: a full three-hour paper with 15 minutes of reading time first.
When you cannot see why a step follows, the Fermi Problem Library has worked problems with a step-by-step solver that explains the reasoning rather than printing an answer.
This week, solve the specimen paper's Section A in 60 minutes and mark each missing step as well as each wrong answer.
