Test Sample Welcome to your Mathematics 1. Evaluate the determinant of the matrix M = $\begin{bmatrix}3 & 4 & 6\\2 & 1 & -1\\-1 & 3 & 5\end{bmatrix}$ Deselect Answer 20 25 30 35 None 2. Find the amount if simple interest is paid yearly at 5% per annum for 3 years, on a principal of ₦200,000.00 Deselect Answer ₦23, 000.00 ₦30,000.00 ₦300,000.00 ₦230,000.00 None 3. y is inversely proportional to x and y = 4, when x = $\frac{1}{2}$, find x when y = 10 Deselect Answer 2 10 $\frac{1}{5}$ $\frac{1}{10}$ None 4. Find the angle subtended by an arc 33cm long of a circle of diameter 28cm. Deselect Answer $105^0$ $115^0$ $120^0$ $135^0$ None 5. Solve $16^x$ = 0.25 Deselect Answer -$\frac{1}{2}$ $\frac{1}{4}$ -$\frac{1}{4}$ $\frac{1}{2}$ None 6. The ratio of men to women in a 20-member committee is 3:1. How many women must be added to the committee to make the ratio of men to women 3:2? Deselect Answer 2 5 7 8 None 7. If p x q = 2p + pq + q, find p when ( p x 2) - (p x 1) = 40 Deselect Answer 39 40 41 42 None 8. Which of the following is a measure of central tendency? Deselect Answer Standard deviation Range Variance Mean None 9. In how many ways can 6 people sit around a table Deselect Answer 120 240 60 30 None 10. Let A = $\begin{pmatrix}2 & -4 & 3\\5 & 1 & 0\end{pmatrix}$ and B = $\begin{pmatrix}1 & 4 & -2\\-3 & 3 & -1\end{pmatrix}$. Find A + 2B Deselect Answer $\begin{pmatrix}4 & 4 & -1\\-1 & 7 & -2\end{pmatrix}$ $\begin{pmatrix}-1 & 4 & -1\\4 & 7 & -2\end{pmatrix}$ $\begin{pmatrix}4 & 4 & -1\\7 & 7 & -2\end{pmatrix}$ $\begin{pmatrix}-1 & 7 & -2\\4 & 4 & -2\end{pmatrix}$ None 11. The sum to infinity of a GP is 100, find its first term if the common ratio is -$\frac{1}{2}$ Deselect Answer 150 155 160 165 None 12. PQR is a triangle such that |PQ| = |QR| = 8cm and QPR = 60º. Find the area of $\angle$ PQR Deselect Answer $16\sqrt{3}cm^2$ $16\sqrt{2}cm^2$ $8\sqrt{3}cm^2$ None 13. From the top of a building 10m high, the angle of elevation of a fruit on top of a tree 25m is 30º. Calculate the horizontal distance between the building and the tree. Deselect Answer $15\sqrt{3}$m $5\sqrt{3}$m $25\sqrt{3}$m $30\sqrt{3}$m None 14. A boy bought Oranges at the rate of ₦24.00 for 5 and sold it at the rate of # 30.00 for 4 Oranges. Find the profit made of the ones sold Deselect Answer ₦24.00 ₦30.00 ₦10.80 ₦20.00 None 15. Differentiate y = $(5x + 1)^4$ Deselect Answer 20 $(5x + 1)^3$ 4 $(5x + 1)^3$ 5 $(5x + 1)^3$ $(5x)^3$ None 16. Simplify $\frac{ 5 + \sqrt{7}}{3 + \sqrt{7}}$ Deselect Answer 17 - $\sqrt{7}$ 4 - $\sqrt{7}$ 7 - $\sqrt{7}$ 15 - $\sqrt{7}$ None 17. Find the perimeter of a triangle whose vertices pass through ( 3, 2), (4, 5) and (6, 2) in surd form. Deselect Answer 3 + $\sqrt{12}$ + $\sqrt{13}$ 3 - $\sqrt{10}$ + $\sqrt{13}$ 3 + $\sqrt{10}$ + $\sqrt{13}$ 3 - $\sqrt{12}$ + $\sqrt{13}$ None 18. Find the $7^{th}$ term of the sequence -10, 50, -250 ........... Deselect Answer 165250 156250 -156250 -165,250 None 19. The scores of students in a test are recorded as follows: 4, 3, 3, 2, 1, 2, 5, 7, 8, 3, and 5. Find the mode of the mark. Deselect Answer 2 3 4 5 None 20. P(x, 4) and Q( 10, 8) are two points joined by a straight line in a plane. If the midpoint of the line is (9, 6), find the value of x. Deselect Answer 12 9 8 7 None