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Paste any ICSE question — Maths or Science, Class 6 to 10 — and get step-by-step working that matches the CISCE marking scheme. Built for Selina, M.L. Aggarwal and CISCE sample-paper practice.

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A worked ICSE factorisation — middle-term splitting, verified

Below is one fully worked example plus a short primer so you can see exactly how our AI reasons through a problem.

Example Problem

DEMO
  1. 1

    Identify the product and sum needed (middle-term-splitting method)

    Find two numbers that multiply to −36 and add to −5. Factor pairs of −36: (1,−36), (−1,36), (4,−9), (−4,9), (3,−12), (−3,12)... The pair 4 and −9 works: 4 × −9 = −36 and 4 + (−9) = −5.

  2. 2

    Split the middle term

    Replace −5x with 4x − 9x using the pair we found.

  3. 3

    Group in pairs and factor each

    Group the first two and the last two terms; pull out the common factor from each group. Both groups must share a bracket — if they don't, the split was wrong.

  4. 4

    Extract the common bracket

    The expression is now fully factorised.

  5. 5

    Verify by expanding

    (3x + 2)(2x − 3) = 6x² − 9x + 4x − 6 = 6x² − 5x − 6 ✓. CISCE awards 2 of 3 marks for correct factorisation; full marks require the verification line explicitly when asked.

Final Answer

ICSE Maths strategy — what CISCE wants that CBSE doesn't

ICSE (Indian Certificate of Secondary Education) is conducted by CISCE (Council for the Indian School Certificate Examinations). It's the Class 10 board exam for ICSE schools, with a reputation for being deeper and more language-intensive than CBSE. Where CBSE focuses on formulas and applications, ICSE expects you to SHOW the reasoning at every step, write in complete sentences, and structure your answer like a short essay.

Class 10 Maths follows the CISCE syllabus: GST and banking, shares and dividends, linear inequations, quadratic equations, ratio and proportion, factorisation, matrices, arithmetic and geometric progressions, reflection, section formula, equation of a line, similarity, loci, circles, constructions, mensuration, trigonometry (including heights & distances), statistics and probability. Several of these topics don't appear in CBSE at all — notably GST, banking, and shares — which makes ICSE Maths feel broader.

The marking scheme rewards structure. A three-mark factorisation question like the worked example above splits: 1 mark for setting up the method (middle-term split, identifying a·c and b), 1 mark for the working, 1 mark for the factored form. Verification is usually expected when the question says 'factorise and verify' or 'solve and check'.

ICSE Class 10 Science splits into Physics, Chemistry, Biology as separate papers. Each is CISCE-specific — don't substitute NCERT for the CISCE textbooks. The solver detects ICSE-specific topics (like shares and dividends, or the section formula as taught in ICSE) and applies the CISCE method, not the CBSE one, when the terminology differs.

The output from this solver follows the CISCE marking scheme: labelled steps, complete sentences in the 'body' of each step, and explicit final statements. Use it to mark your own practice against the standard CISCE expects.

ICSE Class 10 questions to practise (CISCE pattern)

Tap any problem to solve it with full step-by-step working.

Frequently asked questions

Is the solver aligned with the CISCE syllabus?+

Yes — ICSE Class 6 to 10 syllabus as per the latest CISCE specification. The solver recognises ICSE-specific topics like GST, banking, and shares and dividends (which don't appear in CBSE) and applies the CISCE method for each.

Does it use the Selina or M.L. Aggarwal textbook methods?+

The methods match both major ICSE textbooks. CISCE endorses methods more than textbooks, so the solver follows the standard CISCE approach that both Selina and M.L. Aggarwal teach.

How is ICSE different from CBSE for Maths?+

ICSE has more breadth — topics like shares & dividends, banking, GST, and certain geometry topics that CBSE doesn't cover. CBSE goes slightly deeper in specific Class 10 topics (e.g. Trigonometry appears in both but the treatment differs). The language expectation is higher in ICSE — complete sentences, explicit reasoning.

Does it help with the 'prove' and 'show' style questions ICSE loves?+

Yes. 'Prove', 'show' and 'verify' questions get explicit geometric or algebraic proofs, with each line justified. This is where ICSE awards the bulk of marks, and it's where the solver's sentence-per-step style is most useful.

Can I upload a CISCE sample paper?+

Yes. Upload a PDF or photograph the page. The solver processes each question on the page separately and returns full step-by-step solutions.

Does it cover ICSE Science (Physics, Chemistry, Biology)?+

Yes — all three Science subjects in Class 10 are covered. Note that ICSE Class 10 Physics and Chemistry have CISCE-specific content that differs from CBSE — the solver uses the CISCE textbook approach.

What about ICSE Class 11 and 12 (ISC)?+

The solver currently covers ICSE (Class 10) and the NCERT-based Class 11–12 syllabuses shared with CBSE. ISC-specific topics (like some commerce and economics) are not yet prioritised — use /exams/cbse for Class 11 and 12 academic subjects.

Is it free for ICSE students?+

Yes. One guest solve per day without signup; a free account gives 5 daily solves plus CISCE-pattern flashcards, topic quizzes and a revision planner. Step-by-step working is never paywalled.

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