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ICSE 15 min read28 October 2026

ICSE Class 10 Maths — 30 Most Expected Questions 2027

30 most expected ICSE Class 10 Maths questions for 2027 by unit, with checked worked examples, the Section A and B layout and what 2026 showed.

In short: Nobody outside CISCE knows the exact 2027 Maths questions, so this list ranks 30 question types by the syllabus units, the Section A and Section B layout, and what was reported about the March 2, 2026 paper. That paper was moderate and lengthy, and Geometry and Trigonometry needed the strongest concepts. CISCE also says about half of 2027 marks go to higher-order thinking. Every worked example below was checked by calculation. Sources disagree on unit marks and paper duration, so I flag both instead of picking one silently. Treat this as a practice priority list, not a leak.

Last updated: October 28, 2026. The ICSE 2027 date sheet is not out yet. CISCE has released specimen papers, and PW notes the final papers may differ from them in format and content.

ICSE Class 10 Maths 2027 — Quick Reference

ParameterDetails
Theory paper80 marks, plus 20 internal assessment
Section ACompulsory short answers, 40 marks, 10 to 12 questions
Section BLong answers, 40 marks, 6 to 8 questions, attempt any four
2026 paper dateMonday, March 2, 2026
Reading time15 minutes before writing
Higher-order weightage in 2027 papersAbout 50%

Sources: PW Live Maths weightage page for the section layout. Free Job Alert for the 2026 date and timing. PW Live on the 2027 specimen papers for the 50% figure.

Where the sources disagree

TopicWhat each source says
Paper durationPW's weightage page says 3 hours 15 minutes, with the first 15 for reading. Free Job Alert says 11:00 AM to 2:00 PM with reading from 10:45 AM. Both fit 3 hours of writing plus 15 minutes of reading. A Jagran Josh page says 2.5 hours and its table says 2 hours, which does not fit
Unit marksJagran Josh's table splits 80 marks as Commercial Maths 13, Algebra 32, Geometry 8, Mensuration 8, Trigonometry 8, Statistics 8 and Probability 3. That table adds up to 80. Our weightage guide shows Algebra 32, Geometry 16 and 8 each for the rest. PW's page elsewhere gives ranges: Algebra 18 to 22 and Geometry 16 to 20

I cannot settle the unit marks from an official CISCE page. Do not skip a unit based on any one table. The syllabus tells you what is examinable, and all units appear.

What I could not verify

ItemStatus
A topic-by-topic list of the 2026 Maths paperNot found in a readable source. PW and Free Job Alert give only difficulty, length and a score range
The 2027 specimen Maths paper layoutI could not open the CISCE PDF. Confirm marks per question there

What the 2026 Paper Showed

ObservationSource
Moderate difficulty and aligned with the standard ICSE patternPW Live
Moderately lengthy, but completable with proper pacingPW Live
Needed strong conceptual understanding, especially in Geometry and TrigonometryPW Live
A balanced mix of direct and multi-step problemsPW Live
A score of 65 to 72 out of 80 is a good performancePW Live (a coaching site's view, not CISCE's)

Commercial Mathematics

#Expected questionLikely marksEvidence
1GST: compute input tax credit, output tax and tax payable4Syllabus
2Find the price of an item including GST, or the marked price from the GST-inclusive price3 to 4Syllabus
3Recurring deposit: interest and maturity value4Syllabus
4Shares and dividends: number of shares, dividend and rate of return4Syllabus

Checked examples

QuestionWorking and answer
GSTA dealer buys goods for Rs 10,000 and sells for Rs 15,000, both with 12% GST. Input tax = Rs 1,200 and output tax = Rs 1,800, so tax payable to the government = Rs 600
GST-inclusive priceA Rs 12,000 article with 18% GST costs 12,000 x 1.18 = Rs 14,160
Recurring depositRs 800 a month for 18 months at 7.5% a year. Interest = 800 x (18 x 19 / 2) / 12 x 7.5 / 100 = Rs 855. Maturity value = 800 x 18 + 855 = Rs 15,255
SharesRs 12,000 invested in Rs 100 shares at Rs 120 each buys 100 shares. At a 10% dividend, income = 100 x 100 x 10% = Rs 1,000. Return = 1,000 / 12,000 x 100 = about 8.33%

Algebra

#Expected questionLikely marksEvidence
5Solve a linear inequation over a given domain and show it on a number line3 to 4Syllabus
6Solve a quadratic equation by factorisation or the formula4Syllabus
7Word problem leading to a quadratic equation4 to 5Syllabus
8Nature of roots using the discriminant, or find a value of k for equal roots3 to 4Syllabus
9Ratio and proportion with componendo and dividendo3 to 4Syllabus
10Factorise a cubic using the factor theorem or remainder theorem4Syllabus
11Matrix problem: find the unknowns from an equation or verify a relation4 to 5Syllabus
12Arithmetic progression: nth term and sum3 to 4Syllabus
13Geometric progression: nth term and sum3 to 4Syllabus

Checked examples

QuestionWorking and answer
Inequation5x minus 3 < 2x + 9 gives 3x < 12, so x < 4. Over the natural numbers the solution set is {1, 2, 3}
Quadratic word problemThe product of two consecutive positive integers is 156. x(x + 1) = 156 gives x = 12, so the numbers are 12 and 13
Equal roots3x squared minus 2kx + 12 = 0. The discriminant is 4k squared minus 144. Setting it to zero gives k = 6 or minus 6
Factor theoremp(x) = 2x cubed + x squared minus 13x + 6. p(2) = 0, so (x minus 2) is a factor. Full factorisation = (x minus 2)(2x minus 1)(x + 3)
MatrixFor A = [[1, 2], [3, 4]], A squared minus 5A = [[2, 0], [0, 2]], so A squared minus 5A minus 2I is the zero matrix
APFirst term 5, common difference 3, n = 20: the sum is 670
GPFirst term 3, common ratio 2, n = 6: the sum is 189

Coordinate Geometry

#Expected questionLikely marksEvidence
14Section formula: find the point dividing a segment in a given ratio3 to 4Syllabus
15Midpoint, distance, and equation of a line or its slope3 to 4Syllabus

Checked example. For A(2, 3) and B(8, 9), the point dividing AB in the ratio 1 : 2 is (4, 5). The midpoint is (5, 6). The distance AB is 6 times the square root of 2, about 8.49.

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Geometry

#Expected questionLikely marksEvidence
16Similar triangles: prove similarity or use the ratio of areas4Syllabus. PW says Geometry needed strong concepts in 2026
17Circles: prove a result using angle properties or tangent properties4 to 5Syllabus. Same note
18Tangent and secant from an external point: use PT squared = PA x PB3 to 4Syllabus
19Loci or construction questions3 to 4Syllabus

Checked examples

QuestionWorking and answer
Areas of similar trianglesThe ratio of areas equals the square of the ratio of sides. If sides are in the ratio 3 : 5 and the smaller triangle has area 27, the larger has 27 x 25 / 9 = 75
Tangent and secantFrom P, a tangent PT and a secant meeting the circle at A and B satisfy PT squared = PA x PB. With PA = 4 and AB = 5, PB = 9 and PT = 6

Write a reason beside every step of a proof. A missing reason costs marks even when the argument is right.

Mensuration

#Expected questionLikely marksEvidence
20Recasting a solid into another: number of small solids from a bigger one4Syllabus
21Surface area or volume of a combined solid4Syllabus
22Cylinder, cone and sphere with given dimensions4Syllabus

Checked examples

QuestionWorking and answer
RecastingA solid sphere of radius 6 cm is melted into cones of radius 3 cm and height 4 cm. Sphere volume = 288 pi. One cone = 12 pi. Number of cones = 24
Combined solidA hemisphere of radius 3 cm joined to a cone of radius 3 cm and height 4 cm has volume (2/3) pi x 27 + (1/3) pi x 9 x 4 = 18 pi + 12 pi = 30 pi cubic cm, about 94.25

Trigonometry

#Expected questionLikely marksEvidence
23Prove an identity4Syllabus. PW says Trigonometry needed strong concepts in 2026
24Heights and distances with angle of elevation4Syllabus
25Heights and distances with angle of depression4Syllabus

Checked examples

QuestionWorking and answer
Identity(1 minus cos squared A)(1 + cot squared A) = sin squared A x cosec squared A = 1
ElevationFrom a point 30 m from the foot of a tower, the angle of elevation of the top is 60 degrees. Height = 30 tan 60 = 30 root 3, about 51.96 m
DepressionFrom the top of a 50 m tower, the angle of depression of a car is 30 degrees. Distance from the foot = 50 / tan 30 = 50 root 3, about 86.60 m

Draw a labelled figure first. A correct diagram earns method marks even when the arithmetic slips.

Statistics and Probability

#Expected questionLikely marksEvidence
26Mean of grouped data3 to 4Syllabus
27Median from a cumulative frequency table, or from an ogive4Syllabus
28Draw a histogram and read the mode, or draw an ogive4Syllabus
29Probability of a single event with cards, dice or a bag3Syllabus
30Statement-based or reasoning question mixing two topics3 to 4CISCE's 50% higher-order statement

Checked examples

QuestionWorking and answer
MeanValues 10, 20, 30, 40 with frequencies 4, 6, 8, 2: the mean is 24
MedianClasses 0 to 10, 10 to 20, 20 to 30, 30 to 40, 40 to 50 with frequencies 5, 8, 12, 10, 5. N = 40, so N/2 = 20. The cumulative frequency before the class 20 to 30 is 13. Median = 20 + (20 minus 13) / 12 x 10, about 25.83
Probability: bagA bag has 5 red, 2 green and 3 blue balls. P(not blue) = 7/10
Probability: cardsP(a king) = 4/52 = 1/13. P(a red face card) = 6/52 = 3/26

Preparing for the 50% Higher-Order Pattern

CISCE says about half of 2027 marks test application, analysis, evaluation and creation. For Maths, that means:

HabitWhat to do
Multi-step problemsPractise questions that combine two units, such as a GST problem with a ratio or a tangent problem with a quadratic
ReasoningAfter a proof, write one line on why each step holds
Check answersSubstitute your result back. Examiners reward correct verification
Word problemsUnderline what is given and what is asked before you write any equation

Our guides to the 50% HOTS pattern and the specimen papers cover this in detail.

4-Week Practice Plan

WeekFocusQuestions in this list
Week 1Commercial Maths and Algebra1 to 13. Do ten problems a day
Week 2Coordinate Geometry and Geometry14 to 19. Write every reason in proofs
Week 3Mensuration and Trigonometry20 to 25. Draw a figure for every problem
Week 4Statistics, Probability and papers26 to 30, then two full timed papers

This is a suggestion, not an official schedule. Use the ICSE last 100 days plan to place these weeks in the calendar. For the CBSE-style version, see the CBSE Class 10 Maths list.

Paper-Day Time Plan

StepSuggested time
Reading time (15 minutes)Scan Section B and mark the four questions you are surest of
Section A (40 marks)About 85 minutes. PW's blueprint allots roughly this much
Section B (four questions)About 85 minutes
ReviewWhatever remains. Re-check units, signs and substitutions

These timings follow PW's blueprint of about 1.5 hours per section, which assumes a 3-hour paper. They are illustrative. CISCE publishes no per-section time split.

Frequently Asked Questions

Are these the exact questions in the ICSE 2027 Maths paper?

No. Nobody outside CISCE knows the 2027 questions. This list ranks question types by the syllabus units, the section layout and what was reported about the 2026 paper. Any page or channel that promises the actual paper is a scam.

How is the ICSE Maths paper structured?

PW's blueprint shows 80 marks in two sections. Section A is compulsory, with 40 marks across 10 to 12 short-answer questions. Section B has 40 marks across 6 to 8 long-answer questions, of which you attempt any four. Internal assessment adds 20 marks.

Which unit carries the most marks?

Algebra carries the most in every source I read. Sources disagree on the exact figure and on the Geometry split, so treat unit marks as estimates and prepare every unit.

How long is the ICSE Maths paper?

Two sources fit 3 hours of writing plus 15 minutes of reading. A third gives a shorter duration that does not match them. Check your admit card and the official timetable for the 2027 timing.

Was the 2026 Maths paper difficult?

PW rated it moderate and moderately lengthy, with Geometry and Trigonometry needing the strongest concepts. It also noted a mix of direct and multi-step problems. PW's view of a good score was 65 to 72 out of 80.

What does 50% higher-order thinking mean for Maths?

Expect more multi-step and reasoning questions. Practise problems that combine units, and check your answers by substitution. The final papers may differ from the specimen papers.

Related Guides

Sources


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