Thursday, August 14, 2025

CHAPTER TEST – ICSE Mathematics – Class X - Inequality, Ratio and Proportion, Section Formula, and Banking

Title: TEST – ICSE Mathematics – Class X

Chapters Covered: Inequality, Ratio and Proportion, Section Formula, and Banking
Full Marks: 40
Time: 1 hour 30 minutes

Structure:

  • Total Questions: 15

  • Marks Distribution:

    • Questions 1–6: Short answer, 1 mark each (concept recall and direct application).

    • Questions 7–8: Short problems, 3 marks each (multi-step reasoning).

    • Questions 9–15: Long problems, 4 marks each (detailed computation or proof).

Topics Tested:

  • Solving and representing inequalities on a number line

  • Ratios, continued proportion, fourth proportion

  • Coordinate geometry: section formula, trisection points, centroid

  • Proportion and algebraic identities (Componendo and Dividendo)

  • Banking applications: recurring deposit calculations

  • Determining numbers to make quantities proportional

Format:

  • Mix of fill-in-the-blank, solve-and-show, and prove type questions

  • Some require graphical representation of inequalities on a number line

  • Involves both theoretical proofs and practical application problems

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