Updates

← TeacherCircle Daily

Class 9–10 Maths quiz — 9 October 2026

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

Question 1 · Trigonometry

Find the value of sin 30° × cos 60° + tan 45°.

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

Answer: 5/4. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. sin 30° × cos 60° + tan 45° = 5/4.

Question 2 · Mensuration

A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume? (Use π = 22/7)

  1. A. 220 cm³
  2. B. 1547 cm³
  3. C. 3080 cm³
  4. D. 1540 cm³ ✓

Answer: 1540 cm³. Volume = π r² h = 22/7 × 7 × 7 × 10 = 1540 cm³.

Question 3 · Algebraic identities

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

  1. A. 52
  2. B. 64
  3. C. 57
  4. D. 50 ✓

Answer: 50. (a + b)² = a² + 2ab + b², so a² + b² = 8² − 2 × 7 = 64 − 14 = 50.

Question 4 · Coordinate geometry

Find the distance between the points (−1, 2) and (7, 17).

  1. A. 17 ✓
  2. B. 23
  3. C. 16
  4. D. 34

Answer: 17. Distance = √(8² + 15²) = √289 = 17.

Question 5 · Quadratic equations

What is the larger root of x² − 10x + 9 = 0?

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

Answer: 9. x² − 10x + 9 = (x − 9)(x − 1) = 0, so the roots are 9 and 1. The larger is 9.

Finding these hard?

A teacher can help you master the topics above. Contacting teachers on TeacherCircle is free.