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1If A = [[2, -1],[3, 4]] and B = [[0,5],[-2,1]], what is the element in the first row, second column of AB?

A 9 B 7 C -3 D 5

2The mean of five numbers is 12. If one of the numbers is 18, what is the mean of the remaining four numbers?

A 9 B 10 C 11 D 12

3The locus of points equidistant from the point (2, -3) and the line y = 1 is:

A a parabola B a circle C a hyperbola D a straight line

4In triangle ABC, ∠B = 90°, AB = 6 cm and BC = 8 cm. Find sin A.

A 3/5 B 4/5 C 5/6 D 5/8

5The volume of a solid formed by rotating the region bounded by y = x² and y = 4 about the x‑axis is:

A 64π/5 B 128π/5 C 256π/5 D 512π/5

6The longitude of a city is 75° E and its latitude is 0°. Which direction does the Sun rise there on the equinox?

A North‑East B East C South‑East D Due South

7Maximise Z = 3x + 4y subject to x + 2y ≤ 8, 3x + y ≤ 9, x, y ≥ 0. What is the optimal value of Z?

A 24 B 27 C 30 D 33

8Find the derivative of f(x) = 5x³ – 2x + 7.

A 15x² – 2 B 15x² + 2 C 5x² – 2 D 5x² + 2

9Using the trapezium rule with n = 2, approximate ∫₀² (x³)dx.

A 4 B 6 C 8 D 10

10Evaluate ∫ (2x + 5) dx.

A x² + 5x + C B x² + 5x² + C C x² + 5x + C D x² + 5x + C