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Class 9–10 Maths quiz — 27 October 2026

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

Question 1 · Algebraic identities

If a + b = 14 and ab = 5, what is a² + b²?

  1. A. 186 ✓
  2. B. 206
  3. C. 188
  4. D. 10

Answer: 186. (a + b)² = a² + 2ab + b², so a² + b² = 14² − 2 × 5 = 196 − 10 = 186.

Question 2 · Probability

A bag holds 1 red, 1 blue and 5 green balls. One ball is picked at random. What is the probability it is red?

  1. A. 1/8
  2. B. 1
  3. C. 1/7 ✓
  4. D. 2/7

Answer: 1/7. Probability = favourable ÷ total = 1/7.

Question 3 · Arithmetic progressions

The first term of an AP is 14 and the common difference is 2. What is its 11th term?

  1. A. 36
  2. B. 34 ✓
  3. C. 39
  4. D. 38

Answer: 34. nth term = a + (n − 1)d = 14 + 10 × 2 = 34.

Question 4 · Linear equations

If x + y = 8 and x − y = 6, what is x?

  1. A. 7 ✓
  2. B. 1
  3. C. 14
  4. D. 6

Answer: 7. Add the two equations: 2x = 8 + 6 = 14, so x = 7.

Question 5 · Mensuration

A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume? (Use π = 22/7)

  1. A. 2163 cm³
  2. B. 2156 cm³ ✓
  3. C. 616 cm³
  4. D. 4312 cm³

Answer: 2156 cm³. Volume = π r² h = 22/7 × 7 × 7 × 14 = 2156 cm³.

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