Mathematics Past Questions and Answers

The marks scored by 30 students in a Mathematics test are recorded in the table below:

Scores (Mark)	0	1	2	3	4	5
No of students	4	3	7	8	6	2

What is the total number of marks scored by the children?

A 82
B 15
C 63
D 75

Question 87:

If \(f(x) = 3x^3 + 4x^2 + x - 8\), what is the value of f(-2)?

A -24
B 30
C -18
D -50

Question 88:

Tade bought 200 mangoes at 4 for #2.50. 30 out of the mangoes got spoilt and the remaining were sold at 2 for #2.40. Find the percentage profit or loss.

A 43.6% loss
B 35% profit
C 63.2% profit
D 28% loss

Question 89:

In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.

A 26°
B 13°
C 80°
D 102°

Question 90:

If the volume of a frustrum is given as \(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\), find \(\frac{\mathrm d V}{\mathrm d R}\).

A \(\frac{\pi h}{3} (2R + r)\)
B \(2R + r + \frac{\pi h}{3}\)
C \(\frac{\pi h}{3} (2R^2 + r + 2r)\)
D \(\frac{2R^2}{3} \pi h\)