Mathematics Past Questions and Answers

A cone is formed by bending a sector of a circle having an angle of 210^o. Find the radius of the base of the cone if the diameter of the circle is 12cm.

A 12cm
B 7.00cm
C 1.75cm
D 21cm
E 3.50cm

Question 27:

The sides of a triangle are(x + 4)cm, xcm and (x - 4)cm, respectively If the cosine of the largest angle is \(\frac{1}{5}\), find the value of x

A 24cm
B 20cm
C 28cm
D 7cm
E \(\frac{88}{7}\)

Question 28:

If a = \(\frac{2x}{1 - x}\) and b = \(\frac{1 + x}{1 - x}\), then a2 - b2 in the simplest form is

A \(\frac{3x + 1}{x - 1}\)
B \(\frac{3x^2 - 1}{(x - 1)}\)²
C X\(\frac{3x - 2}{1 - x}\)
D \(\frac{3x^2 - 1}{(x - 1)}\)

Question 29:

Simplify (1 + \(\frac{\frac{x - 1}{1}}{\frac{1}{x + 1}}\))(x + 2)

A (x² - 1)(x + 2)
B X²(x + 2)
C ² + 34
D \(\frac{3x^2 - 1}{(x - 1)}\)

Question 30:

If pq + 1 = q² and t = \(\frac{1}{p}\) - \(\frac{1}{pq}\) express t in terms of q

A \(\frac{1}{p - q}\)
B \(\frac{1}{q - 1}\)
C \(\frac{1}{q + 1}\)
D 1 + 0
E \(\frac{1}{1 - q}\)