Evaluate the determinant of the matrix M = $\begin{bmatrix}3 & 4 & 6\\2 & 1 & -1\\-1 & 3 & 5\end{bmatrix}$

Find the amount if simple interest is paid yearly at 5% per annum for 3 years, on a principal of ₦200,000.00

y is inversely proportional to x and y = 4, when x = $\frac{1}{2}$, find x when y = 10

Find the angle subtended by an arc 33cm long of a circle of diameter 28cm.

Solve $16^x$ = 0.25

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?

If p x q = 2p + pq + q, find p when ( p x 2) - (p x 1) = 40

Which of the following is a measure of central tendency?

In how many ways can 6 people sit around a table

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

The sum to infinity of a GP is 100, find its first term if the common ratio is -$\frac{1}{2}$

PQR is a triangle such that |PQ| = |QR| = 8cm and QPR = 60º. Find the area of $\angle$ PQR

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.

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

Differentiate y = $(5x + 1)^4$

Simplify $\frac{ 5 + \sqrt{7}}{3 + \sqrt{7}}$

Find the perimeter of a triangle whose vertices pass through ( 3, 2), (4, 5) and (6, 2) in surd form.

Find the $7^{th}$ term of the sequence -10, 50, -250 ...........

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.

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.