Mathematics Past Questions

Differentiate y = 3x⁴ - 2x² + 5 with respect to x.

Express 0.000456 in standard form.

Evaluate: (27)^(2/3).

Simplify: 2³ × 2⁴.

Evaluate log₁₀ 1000.

The roots of a quadratic equation are -3 and 5. Find the equation.

Solve the equation x² - 5x + 6 = 0.

Simplify: (√5 + √3)(√5 - √3).

Find the 10th term of the arithmetic progression: 3, 7, 11, 15, ...

The median of 12, 8, 15, 6, 10 is:

Find the mean of the following data: 3, 7, 5, 9, 6.

In a class of 40 students, 25 study French and 20 study Spanish. If 10 study both, how many study neither?

If P = {1, 2, 3, 4, 5} and Q = {2, 4, 6, 8}, find P ∩ Q.

If A = [2 1; 3 4], find the determinant of A.

In a right-angled triangle, if the opposite side is 5 cm and the hypotenuse is 13 cm, find the adjacent side.

Find the value of sin 30° + cos 60°.

A bag contains 5 red balls and 3 blue balls. If a ball is picked at random, what is the probability that it is red?

If f(x) = 2x + 3, find f(4).

If a = 3i + 4j, find |a|.