From a point P, R is 5km due west and 12km due south. Find the distance between P and R

• A. 5km
• B. 12km
• C. 13km
• D. 17km

If \(a = \begin{pmatrix} 3 \\ 2 \end{pmatrix}\) and \(b = \begin{pmatrix} -3 \\ 5 \end{pmatrix}\), find a vector c such that \(4a + 3c = b\).

• A. \(\begin{pmatrix} 3 \\ -1 \end{pmatrix}\)
• B. \(\begin{pmatrix} -5 \\ -1 \end{pmatrix}\)
• C. \(\begin{pmatrix} -5 \\ 1 \end{pmatrix}\)
• D. \(\begin{pmatrix} -5 \\ -9 \end{pmatrix}\)

In a given regular polygon, the ratio of the exterior angle to the interior angles is 1:3. How many side has the polygon?

• A. 40
• B. 5
• C. 6
• D. 8

In a firing contest, the probabilities that Kojo and Kwame hit the target are \(\frac{2}{5}\) and \(\frac{1}{3}\) respectively. What is the probability that none of them hit the target?

• A. \(\frac{1}{5}\)
• B. \(\frac{2}{5}\)
• C. \(\frac{3}{5}\)
• D. \(\frac{4}{5}\)

The deviations from the mean of a set of numbers are \((k+3)^{2}, (k+7), -2, \text{k and (} k+2)^{2}\), where k is a constant. Find the value of k.

• A. 3
• B. 2
• C. -2
• D. -3

A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?

• A. \(\frac{2}{3}\)
• B. \(\frac{3}{5}\)
• C. \(\frac{7}{20}\)
• D. \(\frac{12}{25}\)

From the cyclic quadrilateral above, find< TSV

• A. 60°
• B. 80°
• C. 70°
• D. 50°

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon.

• A. 8
• B. 6
• C. 4
• D. 3

In the diagram below, l1 is parallel to l2, Find the value of< PMT

• A. 82°
• B. 36°
• C. 72°
• D. 118°

Given the quadrilateral RSTO inscribed in the circle with O as centre. Find the size angle x and given RST = 60°

• A. 100°
• B. 140°
• C. 120°
• D. 10°