FUTO Mathematics 2018/2019 - Model 1 Past Questions

Evaluate $${\frac{81^{\frac34} - 27^{\frac13}}{3 \times 2^3}}$$

If U = {x/x is a positive integer less than 10} and P = {x/x is a prime factor of 30}, find the complement of P.

If m = 3, p = -3, q = 7 and r = $${\frac52}$$, evaluate m(p + q + r)

The weight Wkg of metal bar varies jointly as its length L metres and the square of its diameter d metres. If W = 140 when d = $${4\frac{2}3}$$ and L = 54, find d in terms of W and L.

If M and N are two matrices defined by M = $$\begin{pmatrix}1 & 3&2 \\ 4 & 5&-1\\-3&2&0 \end{pmatrix}$$ and N = $$\begin{pmatrix}1 & 3&2 \\ 4 & -1&5\\2&-3&-1 \end{pmatrix}$$

If P = $$\begin{pmatrix}1 & 3&2 \\ 4 & 5&-1\\-3&2&0 \end{pmatrix}$$ find the determinant of matrix P

Two lines PQ and ST intersect at 75°. The locus of points lies on the

Find the equation of the perpendicular at point (4, 3) to the line y + 2x = 5.

The radius r of a circular disc is increasing at the rate of 0.5cm/sec. At whate rate is the area of the disc increasing when its radius is 6cm?

The maximum value of the function f(x) = 2 + x - x² is