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Class 9–10 Maths quiz — 20 October 2026

Questions and answers from this day. Play today's quiz to build your streak.

Question 1 · Arithmetic progressions

The first term of an AP is 5 and the common difference is 6. What is its 17th term?

  1. A. 47
  2. B. 113
  3. C. 101 ✓
  4. D. 107

Answer: 101. nth term = a + (n − 1)d = 5 + 16 × 6 = 101.

Question 2 · Coordinate geometry

Find the distance between the points (1, −1) and (4, 3).

  1. A. 4
  2. B. 6
  3. C. 5 ✓
  4. D. 12

Answer: 5. Distance = √(3² + 4²) = √25 = 5.

Question 3 · Trigonometry

Find the value of sin 30° × cos 60°.

  1. A. 1
  2. B. 1/4 ✓
  3. C. 3/2
  4. D. 1/2

Answer: 1/4. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. sin 30° × cos 60° = 1/4.

Question 4 · Pythagoras theorem

A right-angled triangle has legs of 7 cm and 24 cm. How long is the hypotenuse?

  1. A. 24 cm
  2. B. 26 cm
  3. C. 25 cm ✓
  4. D. 31 cm

Answer: 25 cm. c² = 7² + 24² = 49 + 576 = 625, so c = 25 cm.

Question 5 · Algebraic identities

If a + b = 14 and ab = 26, what is a² + b²?

  1. A. 146
  2. B. 52
  3. C. 196
  4. D. 144 ✓

Answer: 144. (a + b)² = a² + 2ab + b², so a² + b² = 14² − 2 × 26 = 196 − 52 = 144.

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