This free specimen previews Vybd's ICSE Class 10 Maths practice paper. ICSE's syllabus (CISCE) is distinct from CBSE — it includes commercial mathematics topics like GST, recurring deposits and shares & dividends alongside coordinate geometry, mensuration and trigonometric identities, and the paper is almost entirely descriptive with minimal MCQs, rewarding clearly shown step-by-step working. The 10 questions below sample across the syllabus. Vybd's full personalised paper in the app covers every chapter with a complete, step-by-step answer key.
The ICSE Class 10 Maths pattern
Typically a 2.5-hour, 80-mark descriptive paper (plus an internal-assessment component set by the school), split into Section A — compulsory shorter questions — and Section B — a choice of longer, multi-part questions. Very few MCQs; marks are awarded for correct method and working, not just the final answer.
Illustrative — confirm the exact structure with your school's latest CISCE circular.
10-question specimen
Q1.
The marked price of an article is ₹2,000. GST is charged at 12%. The GST amount is:
A) ₹200
B) ₹220
C) ₹260
D) ₹240
Q2.
A recurring deposit account has a monthly instalment of ₹100 for 2 years (24 months). The total amount deposited (excluding interest) is:
A) ₹2,000
B) ₹2,200
C) ₹2,400
D) ₹2,600
Q3.
A person buys 50 shares of face value ₹10 each. The total face-value investment is:
A) ₹400
B) ₹450
C) ₹550
D) ₹500
Q4.
For x ∈ N, the largest value of x satisfying 2x − 3 < 7 is:
A) 3
B) 4
C) 5
D) 6
Q5.
The roots of x² − 9 = 0 are:
A) ±3
B) ±9
C) 3 only
D) 9 only
Q6.
If a:b = 3:4 and b:c = 4:5, then a:c equals:
A) 3:4
B) 3:5
C) 4:5
D) 15:9
Q7.
By the remainder theorem, the remainder when x³ − 3x + 2 is divided by (x − 1) is:
A) 0
B) 1
C) 2
D) −1
Q8.
The midpoint of the line segment joining (2, 3) and (6, 7) is:
A) (4, 5)
B) (3, 4)
C) (8, 10)
D) (2, 2)
Q9.
The volume of a cylinder of radius 7 cm and height 10 cm (π = 22/7) is:
A) 1,100 cm³
B) 1,320 cm³
C) 1,540 cm³
D) 1,760 cm³
Q10.
sin²θ + cos²θ simplifies to:
A) 0
B) 1
C) 2
D) tan θ
Answer Key & Solutions
Q1D) ₹24012% of ₹2,000 = ₹240
Q2C) ₹2,400₹100 × 24 months = ₹2,400
Q3D) ₹50050 × ₹10 = ₹500
Q4B) 42x < 10 → x < 5; largest natural number is 4
Q5A) ±3x² = 9 → x = 3 or x = −3
Q6B) 3:5a:b:c = 3:4:5 (scale b to match) → a:c = 3:5
Typically a 2.5-hour, 80-mark descriptive paper (plus an internal-assessment component), split into a compulsory Section A and a choice-based Section B, with very few MCQs. Always confirm the exact structure with your school's latest CISCE circular.
How is ICSE Maths different from CBSE Maths?
ICSE includes commercial mathematics — GST, recurring deposits, shares & dividends — not on the CBSE syllabus, and its papers are almost entirely descriptive, rewarding clearly shown working over quick objective answers.
What topics does this free specimen cover?
GST, recurring deposits, shares & dividends, linear inequations, quadratic equations, ratio & proportion, the remainder theorem, coordinate geometry, mensuration and trigonometric identities.
How can I get a full personalised ICSE Class 10 Maths paper?
Vybd generates full chapter-wise worksheets and mock papers personalised to your child's exact ICSE textbook chapter, with complete step-by-step answer keys.