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Class 9–10 Maths quiz — 8 October 2026

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

Question 1 · Algebraic identities

If a + b = 6 and ab = 2, what is a² + b²?

  1. A. 40
  2. B. 32 ✓
  3. C. 4
  4. D. 34

Answer: 32. (a + b)² = a² + 2ab + b², so a² + b² = 6² − 2 × 2 = 36 − 4 = 32.

Question 2 · Mensuration

A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume? (Use π = 22/7)

  1. A. 88 cm³
  2. B. 616 cm³
  3. C. 315 cm³
  4. D. 308 cm³ ✓

Answer: 308 cm³. Volume = π r² h = 22/7 × 7 × 7 × 2 = 308 cm³.

Question 3 · Arithmetic progressions

The first term of an AP is 9 and the common difference is 3. What is its 20th term?

  1. A. 66 ✓
  2. B. 69
  3. C. 72
  4. D. 63

Answer: 66. nth term = a + (n − 1)d = 9 + 19 × 3 = 66.

Question 4 · Probability

A bag holds 1 red, 6 blue and 2 green balls. One ball is picked at random. What is the probability it is red?

  1. A. 1/9 ✓
  2. B. 1/6
  3. C. 8/9
  4. D. 1/10

Answer: 1/9. Probability = favourable ÷ total = 1/9.

Question 5 · Linear equations

If x + y = 20 and x − y = 2, what is x?

  1. A. 11 ✓
  2. B. 20
  3. C. 12
  4. D. 9

Answer: 11. Add the two equations: 2x = 20 + 2 = 22, so x = 11.

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