Introduction
Preparing for competitive exams like KPPSC Maths MCQs(Khyber Pakhtunkhwa Public Service Commission) requires strong conceptual understanding and consistent practice. For BPS-17 level posts, Mathematics plays a vital role, especially for candidates from science and technical backgrounds. Therefore, mastering Class 11th and 12th concepts from the KPK textbook is essential.
MCQs are particularly important because they test both accuracy and time management. Moreover, they assess your conceptual clarity rather than lengthy problem-solving steps. By practicing well-structured MCQs, candidates can improve speed, reduce mistakes, and build confidence before the actual exam.
Below are 20 carefully designed KPPSC-style Maths MCQs with answers and short explanations to help you prepare effectively.
Maths MCQs
1. The determinant of a triangular matrix equals:
A) Sum of diagonal elements
B) Product of diagonal elements
C) Zero always
D) Difference of diagonals
Answer: B
Explanation:
In triangular matrices, all entries above or below the main diagonal are zero. Hence, the determinant equals the product of diagonal elements.
2. If ∣A∣=3|A| = 3∣A∣=3, then ∣2A∣|2A|∣2A∣ for a 2×2 matrix is:
A) 6
B) 12
C) 9
D) 3
Answer: B
Explanation:
For an n×n matrix, |kA| = kⁿ|A|. Here n=2, so |2A|=2²×3=12.
3. The inverse of matrix A exists only if:
A) A is diagonal
B) Determinant is zero
C) Determinant is non-zero
D) Rank is zero
Answer: C
Explanation:
A matrix is invertible only when its determinant is non-zero; otherwise, it is singular.
4. The slope of line 3x − 2y = 6 is:
A) 3/2
B) −3/2
C) 2/3
D) −2/3
Answer: A
Explanation:
Rearranging gives y = (3/2)x − 3. Thus slope = 3/2.
5. The derivative of sin x is:
A) −cos x
B) cos x
C) sin x
D) −sin x
Answer: B
Explanation:
Standard differentiation rule: d/dx(sin x) = cos x.
6. If log₁₀ 100 = x, then x equals:
A) 1
B) 2
C) 10
D) 0
Answer: B
Explanation:
Since 10² = 100, log₁₀ 100 = 2.
7. Solution of x² − 5x + 6 = 0:
A) 1, 6
B) 2, 3
C) −2, −3
D) 0, 6
Answer: B
Explanation:
Factorization: (x−2)(x−3)=0 → x=2,3.
8. If vectors are perpendicular, their dot product is:
A) 1
B) −1
C) 0
D) Undefined
Answer: C
Explanation:
Perpendicular vectors form 90°, and cos 90°=0, making the dot product zero.
9. Limit of (1/x) as x→∞:
A) ∞
B) 0
C) 1
D) Undefined
Answer: B
Explanation:
As x increases indefinitely, 1/x approaches zero.
10. The range of sin x is:
A) (−∞, ∞)
B) [−1,1]
C) [0,1]
D) (0,∞)
Answer: B
Explanation:
Sine values always lie between −1 and 1 inclusive.
11. Rank of identity matrix of order n is:
A) 1
B) n
C) 0
D) Undefined
Answer: B
Explanation:
Identity matrix has n independent rows/columns, so rank equals n.
12. Integral of 1/x dx equals:
A) ln x + C
B) x + C
C) 1/x + C
D) eˣ + C
Answer: A
Explanation:
Standard integral: ∫(1/x)dx = ln|x| + C.
13. Distance between points (0,0) and (3,4):
A) 5
B) 7
C) 6
D) 4
Answer: A
Explanation:
Distance formula √(3²+4²)=5.
14. If Aᵀ = −A, matrix A is:
A) Symmetric
B) Skew-symmetric
C) Diagonal
D) Identity
Answer: B
Explanation:
Condition Aᵀ = −A defines skew-symmetric matrices.
15. e⁰ equals:
A) 0
B) 1
C) e
D) Undefined
Answer: B
Explanation
Any non-zero base raised to power zero equals 1.
16. The modulus of complex number 3+4i:
A) 5
B) 7
C) 1
D) 25
Answer: A
Explanation:
|z| = √(3²+4²)=5.
17. If probability of event A is 0.3, then P(not A):
A) 0.7
B) 0.3
C) 1.3
D) 0
Answer: A
Explanation:
Complement probability = 1 − P(A).
18. cos²x + sin²x equals:
A) 0
B) 1
C) 2
D) −1
Answer: B
Explanation:
Fundamental trigonometric identity.
19. The equation of circle with radius r and center origin:
A) x²+y²=r²
B) x²−y²=r²
C) x+y=r
D) xy=r²
Answer: A
Explanation:
Standard Cartesian equation of a circle centered at origin.
20. If arithmetic mean of 2 and 6 is required:
A) 2
B) 4
C) 6
D) 8
Answer: B
Explanation
Mean = (2+6)/2 = 4.
For more practice Mcqs: Physics MCQs (KPPSC )
Preparation Tips for Maths Recruitment Tests
Consistent practice is essential for mastering mathematics. Start by reviewing fundamental concepts before attempting MCQs. This ensures conceptual clarity rather than guesswork. Next, practice timed sessions because speed often matters in recruitment exams. Additionally, maintain a formula notebook for quick revision; this improves recall during tests. Avoid relying solely on memorization — understanding underlying principles leads to better performance. Furthermore, analyze mistakes carefully after each practice session. This reflective approach gradually reduces errors. Finally, maintain a balanced routine with revision, problem solving, and periodic self-assessment to track improvement.
Conclusion
Mathematics preparation for recruitment exams demands persistence, accuracy, and strategic practice. Regularly solving MCQs strengthens conceptual understanding while improving response speed. Moreover, reviewing explanations helps clarify doubts and reinforces learning. Candidates should focus on steady progress rather than short-term cramming. With disciplined study habits, clear fundamentals, and consistent revision, improvement becomes measurable over time. Continue practicing varied question sets and refine problem-solving techniques. This approach supports confident exam performance and contributes positively to overall academic development.