2017
(a) Given that \(m = (6i + 8j)\) and \(n = (-8i + \frac{7}{3}j)\), find the :(i) magnitudes and direction of m and n ; (ii) angle between m and n.(b) The position vectors of points P, Q, R and S are \(\begin{pmatrix} -2…
See more
2017 WAEC SSCE Further Mathematics Past Questions
2017
(a) A body P of mass q kg is suspended by two light inextensible strings AB and DB attached to a horizontal table. The strings are inclined at 30° and 60° respectively to the horizontal and the tension in AB is 48N. If t…
See more
2017
The table shows the frequency distribution of the ages of patients in a clinic.Ages (years)17 - 1920 - 2223 - 2829 - 3435 - 43No. of patients69121818(a) Draw a histogram for the distribution(b) Find, correct to two decim…
See more
2017
(a) In a school, the ratio of those who passed to those who failed in a History test is 4 : 1. If 7 students are selected at random from the school, find, correct to two decimal places, the probability that :(i) at least…
See more
2017
(a) If \(f(x) = \int (4x - x^{2}) \mathrm {d} x\) and f(3) = 21, find f(x).(b) The second, fourth and eigth terms of an Arithmetic Progression (A.P) form the first three consecutive terms of a Geometric Progression (G.P)…
See more
2017
(a) If \(f(x) = \frac{2x - 3}{(x^{2} - 1)(x + 2)}\)(i) find the values of x for which f(x) is undefined.(ii) express f(x) in partial fractions.(b) A circle with centre (-3, 1) passes through the point (3, 1). Find its eq…
See more
2017
(a) Simplify : \(\frac{1}{1 - \cos \theta} + \frac{1}{1 + \cos \theta}\) and leave your answer in terms of \(\sin \theta\).(b) Find the equation of the line joining the stationary points of \(y = x^{2} (x - 3)\) and the…
See more
2017
Forces \(F_{1} (18N, 330°), F_{2} (10N, 090°)\) and \(F_{3} (25N, 180°)\) act on a body at rest. Find, correct to one decimal place, the magnitude and direction of the resultant force.
See more
2017
A parallelogram MNQR has vertices M(4, -6), N(10, 2), Q(8, 16) and R(x, y). Find the coordinates of R.
See more
2017
The table shows the heights in cm of some seedlings in a certain garden.Height (cm)36-4041-4546-5051-5556-60Frequency3921125(a) Draw the cumulative frequency curve for the distribution.(b) Using the curve in (a), find th…
See more
2017
Bottles of the same sizes produced in a factory are packed in boxes. Each box contains 10 bottles. If 8% of the bottles are defective, find, correct to two decimal places, the probability that box chosen at random contai…
See more
2017
If (x + 1) and (x - 2) are factors of the polynomial \(g(x) = x^{4} + ax^{3} + bx^{2} - 16x - 12\), find the values of a and b.
See more
2017
(a) Given that \(\log_{10} p = a, \log_{10} q = b\) and \(\log_{10} s = c\), express \(\log_{10} (\frac{p^{\frac{1}{3}}q^{4}}{s^{2}}\) in terms of a, b and c.(b) The radius of a circle is 6cm. If the area is increasing a…
See more
2017
Evaluate : \(\int_{1}^{3} (\frac{x - 1}{(x + 1)^{2}}) \mathrm {d} x\).
See more
2017
(a) If \(f(x) = \frac{4 - 5x}{2}\), and \(g(x) = x + 6, x \in R\), find \(f \circ g^{-1}\).(b) P(x, y) divides the line joining (7, -5) and (-2, 7) internally in 5 : 4. Find the coordinates of P.
See more
2017
If \((2x^{2} - x - 3)\) is a factor of \(f(x) = 2x^{3} - 5x^{2} - x + 6\), find the other factor
See more
2017
If P = \({n^{2} + 1: n = 0,2,3}\) and Q = \({n + 1: n = 2,3,5}\), find P\(\cap\) Q.
See more
2017
Given that \(f(x) = 2x^{2} - 3\) and \(g(x) = x + 1\) where \(x \in R\). Find g o f(x).
See more
2017
The velocity, V, of a particle after t seconds, is \(V = 3t^{2} + 2t - 1\). Find the acceleration of the particle after 2 seconds.
See more
2017
Find the magnitude and direction of the vector \(p = (5i - 12j)\)
See more