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Class 9–10 Maths quiz — 16 October 2026

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

Question 1 · Algebraic identities

If a + b = 7 and ab = 8, what is a² + b²?

  1. A. 16
  2. B. 33 ✓
  3. C. 41
  4. D. 35

Answer: 33. (a + b)² = a² + 2ab + b², so a² + b² = 7² − 2 × 8 = 49 − 16 = 33.

Question 2 · Probability

A bag holds 3 red, 5 blue and 4 green balls. One ball is picked at random. What is the probability it is red?

  1. A. 1/4 ✓
  2. B. 3/13
  3. C. 3/4
  4. D. 5/12

Answer: 1/4. Probability = favourable ÷ total = 3/12 = 1/4.

Question 3 · Trigonometry

Find the value of sin 30° × cos 60°.

  1. A. 5/4
  2. B. 1/4 ✓
  3. C. 1
  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 · AP sums

Find the sum of the first 12 terms of the AP that starts at 10 with common difference 6.

  1. A. 528
  2. B. 1032
  3. C. 552
  4. D. 516 ✓

Answer: 516. Sum = n/2 × (2a + (n − 1)d) = 12/2 × (20 + 66) = 516.

Question 5 · Arithmetic progressions

The first term of an AP is 15 and the common difference is 9. What is its 11th term?

  1. A. 114
  2. B. 146
  3. C. 105 ✓
  4. D. 96

Answer: 105. nth term = a + (n − 1)d = 15 + 10 × 9 = 105.

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