Mathematics Past Questions and Answers

a cylindrical drum of diameter 56 cm contains 123.2 litres of oil when full. Find the height of the drum in centimeters

A 12.5
B 25.0
C 45.0
D 50.00

Question 22:

The locus of all points at a distance 8cm from a point N passes through points T and S. If S is equidistant from T and N, find the area of triangle STN.

A 4\(\sqrt{3cm^2}\)
B 16\(\sqrt{3cm^2}\)
C 32cm²
D 64cm²

Question 23:

If the distance between the points (x, 3) and (-x, 2) is 5. Find x

A 6.0
B 2.5
C \(\sqrt{6}\)
D \(\sqrt{3}\)

Question 24:

The midpoint of the segment of the line y = 4x + 3 which lies between the x-ax 1 is and the y-ax 1 is

A (\(\frac{3}{2}\), \(\frac{3}{2}\))
B (\(\frac{2}{3}\), \(\frac{3}{2}\))
C (\(\frac{3}{8}\), \(\frac{3}{2}\))
D (-\(\frac{3}{8}\), \(\frac{3}{2}\))

Question 25:

solve the equation cos x + sin x \(\frac{1}{cos x - sinx}\) for values of such that 0 \(\leq\) x < 2\(\pi\)

A \(\frac{\pi}{2}\), \(\frac{3\pi}{2}\)
B \(\frac{\pi}{3}\), \(\frac{2\pi}{3}\)
C 0, \(\frac{\pi}{3}\)
D 0, \(\pi\)