Given that \(\theta\) is an acute angle and sin \(\theta\) = \(\frac{m}{n}\), find cos \(\theta\)

• A. \(\frac{\sqrt{n^2 - m^2}}{m}\)
• B. \(\frac{\sqrt{(n + m)(n - m)}}{n}\)
• C. \(\frac{m}{\sqrt{n^2 - m^2}}\)
• D. \(\sqrt{\frac{n}{n^2 - m^2}}\)

, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16

• A. 48^o
• B. 84^o
• C. 92^o
• D. 276^o

If y = \(\frac{y(2\sqrt{x^2 + m})}{3N}\), make x the subject of the formular

• A. \(\frac{\sqrt{9y^2 N^2 - 2m}}{3}\)
• B. \(\frac{\sqrt{9y^2 N^2 - 4m}}{2}\)
• C. \(\frac{\sqrt{9y^2 N^2 - 3m}}{2}\)
• D. \(\frac{\sqrt{9y^2 N - 3m}}{2}\)

Three children shared a basket of mangoes in such a way that the first child took 1/4 of the mangoes and the second 3/4 of the remainder. What fraction of the mangoes did the third child take?

• A. 3/16
• B. 7/16
• C. 9/16
• D. 13/16

Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16

• A. 6
• B. 7
• C. 8
• D. 9

change 71₁₀ to base 8

• A. 107₈
• B. 106₈
• C. 71₈
• D. 17₈

The table below gives the distribution of marks obtained by a number of pupils in a class test.

Find the median of the distribution

• A. 1
• B. 2
• C. 3
• D. 4

At what value of X does the function y = -3 - 2x + X2 attain a minimum value?

• A. -1
• B. 14
• C. 4
• D. 1

An arc subtends an angle of 30° at the centre of a circle radius 12cm. Calculate the length of the arc.

• A. 6πcm
• B. 2πcm
• C. 3πcm
• D. 9πcm

Find, in surd form, the value of \(\cos 165\).

• A. \(\frac{1}{4}(\sqrt{6} + \sqrt{2})\)
• B. \(\frac{1}{4}(\sqrt{6} - \sqrt{2})\)
• C. \(-\frac{1}{4}(\sqrt{6} - \sqrt{2})\)
• D. \(-\frac{1}{4}(\sqrt{6} + \sqrt{2})\)