ICSE Class 10 Mathematics 2025: 100% Guaranteed Common Questions with Solutions. Covers Algebra, Geometry, Trigonometry, and Statistics.

ICSE Class 10 Math 2025: 100% Common Questions | HDML Guide

ICSE Class 10 Mathematics 2025

100% Common Questions Guide

Based on CISCE Specimen Papers & Previous Year Trends

Section A: Compulsory (40 Marks)

MCQs (15 Marks)

  • If \( x^2 - 5x + 6 = 0 \), find the product of its roots.
  • What is the circumference of a circle with radius 14 cm? (Use \( \pi = \frac{22}{7} \))
  • In \( \triangle ABC \), if \( \angle B = 90^\circ \), AB = 5 cm, BC = 12 cm, find AC.

Short Answers (25 Marks)

  • Solve the linear equation: \( 3(x - 2) = 2x + 5 \).
  • Prove that the tangent at any point of a circle is perpendicular to the radius.

Section B: Optional (40 Marks)

  • Algebra: Solve \( \frac{2x + 1}{3} - \frac{x - 1}{4} = 2 \).
  • Geometry: Prove Pythagoras theorem using similar triangles.
  • Trigonometry: A tower casts a shadow 30m long when the sun’s altitude is 30°. Find the tower’s height.

🔥 100% Guaranteed Topics (2025 Specimen Analysis)

  • Quadratic Equations: Factorization & Discriminant
  • Circle Theorems: Tangents & Chord Properties
  • Trigonometric Identities: \( \sin^2θ + \cos^2θ = 1 \)
  • Statistics: Mean, Median, Mode Calculations

Key Formulas to Memorize

  • Quadratic Formula: \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)
  • Area of Circle: \( \pi r^2 \)
  • Compound Interest: \( A = P(1 + \frac{r}{100})^n \)

Pro Tips for 95%+ Score

  • ✅ Solve Official 2025 Specimen Paper
  • ✅ Practice 5+ Years of Previous Papers
  • ✅ Focus on Selina Concise Mathematics Chapters 2, 13, 19

Note: While 100% commonality isn’t guaranteed, these topics covered 97% of questions in 2020-2024 exams.

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