Area: plane figures and the surface area of solids

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Free questions

1. Question 1

   Polishing costs ₹45 per sq m. What does it cost to polish 200 rhombus tiles with diagonals 40 cm and 25 cm?

   1. A. ₹450
   2. B. ₹45,00,000
   3. C. ₹45000
   4. D. ₹4500
   Answer and explanation

   ✓ Correct answer: A. ₹450

   One tile is ½ × 40 × 25 = 500 sq cm; 200 tiles make 100000 sq cm = 10 sq m (1 sq m = 10000 sq cm); the cost is 10 × 45 = ₹450.

   Source: கணக்கு, ஏழாம் வகுப்பு, முதல் பருவம், தொகுதி 2, தமிழ் வழி (Mathematics, Standard VII, Term I, Volume 2, Tamil medium; Samacheer Kalvi) (இயல் 2 அளவைகள், p. 44 (PDF p. 48))

2. Question 2

   What is the perimeter of a square of side a?

   1. A. a²
   2. B. 2a
   3. C. 4a
   4. D. 4a²
   Answer and explanation

   ✓ Correct answer: C. 4a

   A rectangle has perimeter 2(l + b) and area l × b; a square has perimeter 4a and area a × a.

   Source: கணக்கு, ஏழாம் வகுப்பு, முதல் பருவம், தொகுதி 2, தமிழ் வழி (Mathematics, Standard VII, Term I, Volume 2, Tamil medium; Samacheer Kalvi) (இயல் 2 அளவைகள், p. 34 (PDF p. 38))