2018
A uniform beam, XY, 4m long and weighing 350N rests on two pivots P and Q. It is kept in equilibrium by weights of 80N attached at X and 1000N attached at a point between P and Q such that it is 0.6m from Q. If XP = 0.8m…
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2018 WAEC SSCE Further Mathematics Past Questions
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2018
The position vectors of points A, B and C with respect to the origin are (8i - 2j), (2i + 6j) and (-10i + 4j) respectively. If ABCN is a parallelogram, find :(a) the position vector of N;(b) AN and AB ;(c) correct to two…
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2018
The probabilities that Ali, Baba and Katty will gain admission to college are \(\frac{2}{3}, \frac{3}{4}\) and \(\frac{4}{5}\) respectively. Find the probability that:(a) only Katty and Baba will gain admission ;(b) none…
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2018
Ten coins were tossed together a number of times. The distribution of the number of heads obtained is given in the following table :No of heads012345678910Frequency272336116110012853Calculate, correct to three decimal pl…
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2018
(a)(i) Write down the binomial expansion of \((2 - \frac{1}{2}x)^{5}\) in ascending powers of x.(ii) Using the expansion in (a)(i), find, correct to two decimal places, the value of \((1.99)^{5}\).(b) The polynomial \(x^…
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2018
(a) Solve : \(2^{3y + 2} - 7(2^{2y + 2}) - 31(2^{y}) - 8 = 0, y \in R\).(b) Find \(\int (\sqrt{x^{2} + 1}) xdx\).
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2018
A circle is drawn through the points (3, 2), (-1, -2) and (5, -4). Find the:(a) coordinates of the centre of the circle ;(b) radius of the circle ;(c) equation of the circle.
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2018
A body of mass 20kg moving with a velocity of 80ms\(^{-1}\) collides with another body of mass 30kg moving with a velocity of 50ms\(^{-1}\). If they both moved in the same direction after collision, find their common vel…
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2018
Given that \(m = 3i - 2j ; n = 2i - 3j\) and \(p = -i + 6j\), find \(4m + 2n - 3p\).
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2018
(a) The probability that Kunle solves a particular question is \(\frac{1}{3}\) while that of Tayo is \(\frac{1}{5}\). If both of them attempt the question, find the probability that only one of them will solve the questi…
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2018
Two panels of judges, X and Y, rank 8 brands of cooking oil as follows :Cooking oil typeABCDEFGHX85172634Y63485712Calculate the Spearman's rank correlation coefficient.
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2018
The sum of the first twelve terms of an Arithmetic Progression is 168. If the third term is 7, find the values of the common difference and the first term.
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2018
(a) Using the substitution \(u = x - 2\), write \(\frac{x^{3} + 5}{(x - 2)^{4}}\) as an expression in terms of u.(b) Using the answer in (a), express \(\frac{x^{3} + 5}{(x - 2)^{4}}\) in partial fractions.
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2018
Given that \(\log_{3} x - 3\log_{x} 3 + 2 = 0\), find the values of x.
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2018
If \(\begin{vmatrix} x - 3 & -4 & 3 \\ 5 & 2 & 2 \\ 2 & -4 & 6 - x \end{vmatrix} = -24 \), find the values of x.
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2018
Two functions f and g are defined on the set of real numbers by \(f : x \to x^{2} + 1\) and \(g : x \to x - 2\). Find f o g.
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2018
A car is moving at 120\(kmh^{-1}\). Find its speed in \(ms^{-1}\).
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2018
A particle starts from rest and moves through a distance \(S = 12t^{2} - 2t^{3}\) metres in time t seconds. Find its acceleration in 1 second.
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2018
Find the constant term in the binomial expansion \((2x^{2} + \frac{1}{x})^{9}\)
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2018
Find the angle between forces of magnitude 7N and 4N if their resultant has a magnitude of 9N.
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