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Class 9–10 Maths quiz — 31 October 2026

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

Question 1 · Probability

A bag holds 2 red, 4 blue and 1 green balls. One ball is picked at random. What is the probability it is red?

  1. A. 5/7
  2. B. 1/4
  3. C. 2/7 ✓
  4. D. 1/2

Answer: 2/7. Probability = favourable ÷ total = 2/7.

Question 2 · Linear equations

If x + y = 5 and x − y = 1, what is x?

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

Answer: 3. Add the two equations: 2x = 5 + 1 = 6, so x = 3.

Question 3 · Quadratic equations

What is the larger root of x² − 7x + 10 = 0?

  1. A. 10
  2. B. 5 ✓
  3. C. 3
  4. D. 6

Answer: 5. x² − 7x + 10 = (x − 5)(x − 2) = 0, so the roots are 5 and 2. The larger is 5.

Question 4 · Algebraic identities

If a + b = 12 and ab = 17, what is a² + b²?

  1. A. 144
  2. B. 127
  3. C. 112
  4. D. 110 ✓

Answer: 110. (a + b)² = a² + 2ab + b², so a² + b² = 12² − 2 × 17 = 144 − 34 = 110.

Question 5 · AP sums

Find the sum of the first 10 terms of the AP that starts at 1 with common difference 5.

  1. A. 235 ✓
  2. B. 230
  3. C. 260
  4. D. 245

Answer: 235. Sum = n/2 × (2a + (n − 1)d) = 10/2 × (2 + 45) = 235.

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