Mathematics Past Questions and Answers

Make q the subject of the formula in the equation \(\frac{mn}{a^2} - \frac{pq}{b^2} = 1\)

A \(q = \frac{b^2(mn - a^2)}{a^2 p}\)
B \(q = \frac{m^2 n - a^2}{p^2}\)
C \(q = \frac{mn - 2b^2}{a^2}\)
D \(q = \frac{b^2 (n^2 - ma^2)}{n}\)

Question 2:

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

A 148m
B 382m
C 282m
D 248m

Question 3:

A binary operation \(\otimes\) is defined by \(m \otimes n = mn + m - n\) on the set of real numbers, for all m, n \(\in\) R. Find the value of 3 \(\otimes\) (2 \(\otimes\) 4).

A 6
B 25
C 15
D 18

Question 4:

Age in years	7	8	9	10	11
No of pupils	4	13	30	44	9

The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

A 48.6°
B 56.3°
C 46.8°
D 13°

Question 5:

In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

A 42
B 20
C 70
D 54