Advanced level 2025 Centre Regional Mock Pure mathematics with mechanics 1

Advanced level 2025 Centre Regional Mock Pure mathematics with mechanics 1

Advanced level 2025 Centre Regional Mock Pure mathematics with mechanics 1

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1. The quadratic equation x2−3x+k=0 has roots m and n, what is the product of m and n? A. 3 B. -3 C. 3k D. k

2. If A is a 2 x 3 matrix, and B is a 3 x 4 matrix, what will be the order of the product AB? A. 3 x 3 B. 2 x 4 C. 3 x 2 D. 2 x 2

3. What is the determinant of an identity matrix? A. 1 B. 0 C. -1 D. Undefined.

4. What is the nature of roots of the quadratic equation x2−6x+9=0? A. Real and distinct B. Real and equal C. Imaginary D. None of the above.

5. The sum of squares of the roots of the quadratic equation ax2+bx+c=0 is: A. a2b2−2ac​ B. a2b2+2ac​ C. a2b2−ac​ D. a2b2​

6. The function f(x)=x2−x−2x2−4​ is undefined at: A. $x=2$ and $x=1$ B. $x=0$ and $x=-2$ C. $x=-1$ and $x=2$ D. $x=1$ and $x=-2$

7. The inverse of the matrix (23​14​) is: A. 51​(4−3​−12​) B. 51​(2−3​−14​) C. 51​(41​32​) D. 51​(21​34​)

8. The derivative of the function f(x)=ex is A. xex−1 B. 2ex C. ex D. xex

9. Evaluating ∫x1​dx gives: A. $\ln |x|+c$ B. x21​+c C. −x21​+c D. x1​+c

10. Evaluate limx→∞​(1+x1​)x: A. 0 B. 1 C. $e$ D. $\infty$

11. The area enclosed by the curve y=x2, the x axis and the lines $x=1$ and $x=2$ is: A. 37​ B. 38​ C. 1 D. 34​

12. A geometric progression has first term 16 and sum to infinity 40, the common ratio of the progression is: A. 53​ B. −53​ C. 35​ D. −35​