Geometry

Ladakh Prison Department · Mathematics · 100 practice questions with answers and explanations: 50 Easy, 50 Medium, 0 Hard.

Sample questions

Sample Easy question 1

What is the sum of the interior angles of a nonagon (9 sides)?

  1. 1260°
  2. 1360°
  3. 1160°
  4. 1460°
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Answer: A. Sum = (n-2) × 180° = (9-2) × 180° = 1260°.

Sample Easy question 2

What is the sum of the interior angles of a decagon (10 sides)?

  1. 1640°
  2. 1440°
  3. 1340°
  4. 1540°
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Answer: B. Sum = (10-2) × 180° = 1440°.

Sample Easy question 3

Two angles of a triangle are 45° and 75°. Find the third angle.

  1. 62°
  2. 58°
  3. 55°
  4. 60°
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Answer: D. Third angle = 180° - 45° - 75° = 60°.

Sample Medium question 4

The area of an equilateral triangle with side 8 cm is (use √3 ≈ 1.73):

  1. 27.7 cm²
  2. 31.9 cm²
  3. 25.6 cm²
  4. 29.8 cm²
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Answer: A. Area = (√3/4) × side² = (1.73/4) × 64 ≈ 27.7 cm².

Sample Medium question 5

The area of an equilateral triangle with side 12 cm is (use √3 ≈ 1.73):

  1. 62.3 cm²
  2. 64.4 cm²
  3. 60.2 cm²
  4. 66.5 cm²
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Answer: A. Area = (√3/4) × side² = (1.73/4) × 144 ≈ 62.3 cm².

Sample Medium question 6

The angles of a triangle are in the ratio 4:5:6. Find the largest angle.

  1. 70°
  2. 74°
  3. 68°
  4. 72°
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Answer: D. Total parts = 15, each part = 12°, largest angle = 6 × 12° = 72°.

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