1. If z = 3 + 2i, then z + z̄ equals
Answer: A. 6
Mathematics Class 10 FBISE Past Paper MCQs with Answers
62 MCQs from FBISE past papers, in their original option order, with the correct answer. Tap an option to check yourself.
Tap an option to check your answer.
Annual 2026, Set B (Paper code 2SA-I 26008 (B))
2. If α and β are the roots of x² − 5x + 6 = 0, then α + β is
Answer: A. 5
3. If A = [1 0; 2 1] and B = [3 1; 2 4], then AB is
Answer: A. [3 1; 8 6]
4. If f(x) = 2x + 1 and g(x) = x − 3, then (f o g)(x) is
Answer: A. 2x − 5
5. The solution of |x| < 3 is
Answer: D. −3 < x < 3
6. The discriminant of x² − 5x + 6 = 0 is
Answer: B. 1
7. If a = i + j and b = i − j, then i can be expressed as
Answer: C. (1/2)(a + b)
8. The area of a triangle with sides a, b and included angle C is
Answer: B. (1/2) ab sin C
9. A roller coaster loop is best modelled as a
Answer: C. circular arc
10. Two circles of radii 4 cm and 6 cm touch externally. The distance between their centres is
Answer: B. 10 cm
11. Two coins are tossed simultaneously. The probability of getting two heads is
Answer: C. 1/4
12. A scatter diagram with points close to a straight line rising from left to right indicates
Answer: C. positive correlation
13. Which of the following represents a linear function?
Answer: B. y = 2x + 3
14. The angle between a tangent and the radius at the point of contact is
Answer: D. 90°
15. The expression (x² − 9)/(x − 3) can be factorized (simplified) as
Answer: D. x + 3
Annual 2026, Set D (Paper code 2SA-I 26008 (D))
16. The product (1 + i)(1 − i) gives
Answer: B. 2
17. If α and β are the roots of 2x² − 4x + 1 = 0, then α + β equals
Answer: A. 2
18. If A is a matrix of order 2 × 3 and B is a matrix of order 3 × 2, then the order of AB is
Answer: A. 2 × 2
19. If f(x) = x² and g(x) = x + 1, then g(f(x)) equals
Answer: A. x² + 1
20. The solution of |x − 2| = 4 is
Answer: C. x = 6 or x = −2
21. The discriminant of 2x² − 3x − 2 = 0 is
Answer: C. 25
22. If a = 2i + j and b = i + j, then the vector i is equal to
Answer: A. a − b
23. In triangle ABC, if ∠A = 30°, a = 5 cm and b = 10 cm, then sin B equals
Answer: A. 1
24. Which real-life object best demonstrates equal arcs subtended by equal chords?
Answer: D. Round clock face making
25. If two circles touch internally and their radii are 9 cm and 3 cm, the distance between their centres is
Answer: B. 6 cm
26. From a deck of cards, one card is drawn. The probability that it is a king is
Answer: A. 4/52
27. If most points in a scatter diagram are widely spread with no clear pattern, it shows
Answer: C. no correlation
28. The slope of the line y = 4x + 1 is
Answer: D. 4
29. If a line touches a circle at exactly one point, the line is called
Answer: C. tangent
30. x² + 5x + 6 equals
Answer: D. (x + 2)(x + 3)
Annual 2026, Set M (Paper code 2SA-I 26008 (M))
31. Two fair dice are thrown. The probability that the sum is 7 is
Answer: C. 6/36
32. In a scatter diagram, a downward sloping line of best fit shows
Answer: B. negative correlation
33. The y-intercept of the line y = −x + 4 is
Answer: B. 4
34. The radius drawn to the point of contact of a tangent is always
Answer: C. perpendicular to the tangent
35. (x² − 1)/(x − 1) equals
Answer: B. x + 1
36. The difference (5 + 2i) − (3 + 7i) gives
Answer: A. 2 − 5i
37. If α and β are the roots with α + β = 9 and αβ = 20, then the quadratic equation is
Answer: A. x² − 9x + 20 = 0
38. If A = [2 1; 0 3], then AA is
Answer: A. [4 5; 0 9]
39. If f(x) = x + 4 and g(x) = x², then f(g(x)) is
Answer: A. x² + 4
40. The solution of |x| ≥ 4 is
Answer: D. x ≤ −4 or x ≥ 4
41. If the discriminant of a quadratic equation is zero, then the roots are
Answer: C. equal
42. If a = i + 2j and b = i − j, then j can be expressed as
Answer: D. (1/3)(a − b)
43. The area of a triangle whose sides measure 10 cm and 12 cm with included angle 60° is
Answer: D. 30√3 cm²
44. The length of the curved part of a circular road of radius 16 m and central angle 45° is
Answer: B. 4π
Annual 2025, Mathematics (Science Group) Paper code 2SA-II 25008-20081
45. The solution set of 121y² − 1 = 0 is
Answer: C. {1/11, −1/11}
46. Using the properties of cube roots of unity, the value of ω¹³ + ω¹⁷ is
Answer: B. −1
47. The nature of the roots of the equation 2x² + 5x − 1 = 0 is
Answer: B. real (irrational), unequal
48. The mean proportional of 16x⁴y⁴ and z⁸ is
Answer: D. ±4x²y²z⁴
49. If a : b = x : y, then the invertendo property is
Answer: D. b/a = y/x
50. Which type of fraction is x³(x + 1)/(x³ + 1)?
Answer: A. improper fraction
51. If set A has 2 elements and set B has 3 elements, the number of binary relations from A × B is
Answer: C. 64
52. The class mark of the class limits (10 – 16) is
Answer: C. 13
53. Which measure of central tendency can have more than one value?
Answer: A. mode
54. A 20 foot long ladder making an angle of 60° with the ground leans against a wall. The distance of the foot of the ladder from the wall is
Answer: C. 10
55. In a circle, OC = 3 cm and AB = 8 cm, where OC is perpendicular to the chord AB. The radius of the circle is
Answer: B. 5 cm
56. The semi-circumference and the diameter of a circle both subtend a central angle of
Answer: B. 180°
57. Two tangents drawn from a point outside the circle are
Answer: D. equal
Annual 2023, Mathematics (Science Group), Paper code 2SA-II 2309-2091
58. An equation which remains unchanged when x is replaced by 1/x is called a/an
Answer: B. reciprocal equation
59. In the set of data 41, 43, 47, 51, 57, 52, 59 the median is
Answer: A. 51
60. A line segment having both end points on a circle and not passing through the centre is a
Answer: D. chord
61. The centre of the incircle is called the
Answer: C. incentre
62. If u/v = v/w = K, then u is equal to
Answer: C. u = wK²