Mathematics MCQs with Answers

Prepare important and challenging Mathematics MCQs designed for scholarship tests, competitive exams, and job interview tests. These questions cover algebra, geometry, trigonometry, arithmetic, probability, and advanced problem-solving to strengthen your concepts and sharpen your skills.

Q1. If 3x + 7 = 19, then the value of x is:

  • A) 3
    B) 4
    C) 5
    D) 6
    Answer (B) 4

Q2. The square root of 144 is:

A) 10
B) 11
C) 12
D) 13
Answer (C) 12

Q3. If a triangle has angles 90°, 45°, and 45°, it is called:

  • A) Equilateral Triangle
    B) Isosceles Right Triangle
    C) Scalene Triangle
    D) Acute Triangle
    Answer (B) Isosceles Right Triangle

Q4. The value of π (Pi) is approximately:

  • A) 2.12
    B) 3.14
    C) 3.41
    D) 2.72
    Answer (B) 3.14

     

Q5. The area of a circle with radius 7 cm is:

  • A) 154 cm²
    B) 144 cm²
    C) 147 cm²
    D) 150 cm²
    Answer (A) 154 cm²

Q6. The solution of equation 2x – 8 = 0 is:

  • A) 8
    B) 6
    C) 4
    D) 2
    Answer (C) 4

Q7. If sinθ = 1, then θ is equal to:

  • A) 30°
    B) 45°
    C) 60°
    D) 90°
    Answer (D) 90°

Q8. A polygon with 8 sides is called:

  • A) Hexagon
    B) Octagon
    C) Pentagon
    D) Nonagon
    Answer (B) Octagon

Q9. The formula for the volume of a sphere is:

  • A) 4πr²
    B) (4/3)πr³
    C) πr²h
    D) 2πrh
    Answer (B) (4/3)πr³

Q10. If 5 pencils cost Rs. 25, then the cost of 1 pencil is:

  • A) Rs. 2
    B) Rs. 3
    C) Rs. 4
    D) Rs. 5
    Answer (D) Rs. 5

Q11. The mean of 2, 4, 6, 8 is:

A) 4
B) 5
C) 6
D) 7
Answer (B) 5

Q12. The probability of getting 6 on a dice is:

  • A) 1/2
    B) 1/3
    C) 1/6
    D) 1/12
    Answer (C) 1/6

Q13. The perimeter of a square of side 5 cm is:

A) 15 cm
B) 20 cm
C) 25 cm
D) 30 cm
Answer (B) 20 cm

Q14. 15% of 200 is equal to:

  • A) 25
    B) 30
    C) 35
    D) 40
    Answer (B) 30

Q15. The derivative of x² is:

  • A) 2x
    B) x
    C) x²
    D) 1
    Answer (A) 2x

Q16. The number of degrees in a straight angle is:

  • A) 45°
    B) 90°
    C) 180°
    D) 360°
    Answer (C) 180°

Q17. The factors of x² – 9 are:

  • A) (x – 3)(x – 3)
    B) (x – 9)(x + 1)
    C) (x – 3)(x + 3)
    D) (x² – 9)(x + 1)
    Answer (C) (x – 3)(x + 3)

Q18. The value of log10(1000) is:

  • A) 1
    B) 2
    C) 3
    D) 4
    Answer (C) 3

Q19. If tanθ = 1, then θ =

  • A) 30°
    B) 45°
    C) 60°
    D) 90°
    Answer (B) 45°

Q20. The mode of 2, 3, 4, 3, 5, 3, 6 is:

  • A) 2
    B) 3
    C) 4
    D) 5
    Answer (B) 3

Q21. The length of the hypotenuse of a right triangle with base 6 and height 8 is:

  • A) 9
    B) 10
    C) 11
    D) 12
    Answer (B) 10

Q22. The value of cos 0° is:

  • A) 0
    B) 1
    C) √3/2
    D) 1/2
    Answer (B) 1

Q23. Which is the smallest prime number?

  • A) 0
    B) 1
    C) 2
    D) 3
    Answer (C) 2

Q24. The sum of interior angles of a pentagon is:

  • A) 360°
    B) 540°
    C) 720°
    D) 900°
    Answer (B) 540°

Q25. The solution of 2x + 3 = 11 is:

  • A) 3
    B) 4
    C) 5
    D) 6
    Answer (B) 4

Q26. The slope of the line y = 3x + 2 is:

  • A) 2
    B) 3
    C) –3
    D) 0
    Answer (B) 3

Q27. If a = 2 and b = 3, then (a + b)² =

  • A) 10
    B) 12
    C) 25
    D) 36
    Answer (C) 25

Q28. The multiplicative inverse of 5 is:

  • A) 1/5
    B) –5
    C) 0
    D) 5
    Answer (A) 1/5

Q29. The area of a rectangle with length 10 and width 4 is:

  • A) 14
    B) 20
    C) 30
    D) 40
    Answer (D) 40

Q30. The value of cos²θ + sin²θ is:

  • A) 0
    B) 1
    C) 2
    D) Undefined
    Answer (B) 1

Q31. 7! (factorial of 7) is equal to:

A) 720
B) 5040
C) 3620
D) 40320
Answer (B) 5040

Q32. The cube root of 64 is:

  • A) 2
    B) 3
    C) 4
    D) 8
    Answer (C) 4

     

Q33. The standard deviation is the square root of:

  • A) Mean
    B) Median
    C) Variance
    D) Mode
    Answer (C) Variance

Q34. If 2x = 64, then x =

  • A) 6
    B) 32
    C) 64
    D) 128
    Answer (B) 32

Q35. A triangle with sides 3, 4, 5 is a:

  • A) Equilateral Triangle
    B) Right Triangle
    C) Isosceles Triangle
    D) Scalene Triangle
    Answer (B) Right Triangle

Q36. The expansion of (x + y)(x – y) is:

  • A) x² – y²
    B) x² + y²
    C) x² – 2xy + y²
    D) x² + 2xy + y²
    Answer (A) x² – y²

Q37. The value of log(1) to any base is:

  • A) 0
    B) 1
    C) Undefined
    D) Base itself
    Answer (A) 0

Q38. If 12 workers finish a job in 10 days, then 6 workers will finish it in:

  • A) 15 days
    B) 20 days
    C) 25 days
    D) 30 days
    Answer (B) 20 days

Q39. The equation of a circle with radius r and center (0,0) is:

  • A) x² + y² = r²
    B) x² – y² = r²
    C) x² + y = r²
    D) y² = x² + r²
    Answer (A) x² + y² = r²

Q40. The median of 2, 4, 6, 8, 10 is:

  • A) 4
    B) 5
    C) 6
    D) 7
    Answer (C) 6

Q41. If cosθ = 0, then θ =

  • A) 0°
    B) 30°
    C) 60°
    D) 90°
    Answer (D) 90°

Q42. If 2x + y = 10 and x = 3, then y =

  • A) 2
    B) 3
    C) 4
    D) 5
    Answer (A) 4

Q43. The roots of x² – 16 = 0 are:

  • A) ±2
    B) ±4
    C) ±8
    D) ±16
    Answer (B) ±4

Q44. The circumference of a circle with diameter 14 cm is:

  • A) 22 cm
    B) 28 cm
    C) 44 cm
    D) 66 cm
    Answer (C) 44 cm

Q45. A line parallel to x-axis has slope:

  • A) 0
    B) 1
    C) ∞
    D) –1
    Answer (A) 0

Q46. The first prime number after 50 is:

  • A) 51
    B) 52
    C) 53
    D) 55
    Answer (C) 53

Q47. If 3x = 81, then x =

  • A) 9
    B) 27
    C) 81
    D) 243
    Answer (A) 9

Q48. The area of a triangle with base 12 and height 6 is:

A) 24
B) 36
C) 48
D) 72
Answer (B) 36

Q49. The equation of Pythagoras theorem is:

  • A) a² + b² = c²
    B) a² – b² = c²
    C) a² + b = c²
    D) a + b² = c²
    Answer (A) a² + b² = c²

Q50. The sum of the first 20 natural numbers is:

  • A) 190
    B) 200
    C) 210
    D) 220
    Answer (C) 210

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