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Mathematics X (Sindh Board) · Unit 18: Variations

15-Minute MCQ Quiz

Unit 18 · Variations

15 randomly selected questions from a bank of 60 · one attempt · 15 minutes on the clock.

Topics covered

  • Ratio and proportion — antecedent/consequent, extremes/means, and the product-of-extremes rule
  • Direct and inverse variation, with graphs, formulas, and real-life examples
  • Third proportional, fourth proportional, and mean proportional in a continued proportion
  • Theorems on proportion — invertendo, alternando, componendo, dividendo, and componendo-dividendo, with formal proofs
  • Joint variation — combining direct and inverse relationships across multiple variables
  • The k-Method for proving conditional equalities involving proportions
  • Real-life problems based on variations — Hooke's law, the simple pendulum, Ohm's law, and more
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