2008
(a) An object is thrown up a smooth plane inclined at an angle of 30° to the horizontal. If the plane is 15m long and the object comes to rest at the top, find the :(i) initial speed of the object ; (ii) time taken to re…
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2008 WAEC SSCE Further Mathematics Past Questions
2008
(a) Forces \(F_{1} = \begin{pmatrix} -5 & 4 \end{pmatrix} N; F_{2} = \begin{pmatrix} 2 \\ 5 \end{pmatrix} N; F_{3} = \begin{pmatrix} 2 & -1 \end{pmatrix} N\) and \(F_{4} = \begin{pmatrix} 3 & -5 \end{pmatrix}…
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2008
The position vectors of points P, Q and R with respect to the origin are \((4i - 5j), (i + 3j)\) and \((-5i + 2j)\) respectively. If PQRM is a parallelogram, find:(a) the position vector of M ;(b) \(|\overrightarrow{PM}|…
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2008
(a) Five female and seven male teachers applied for 4 vacancies in a Junior High School. The teachers are equally qualified. Find the number of ways of employing the 4 teachers, if : (i) there is no restriction ; (ii) at…
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2008
The following table shows the distribution of marks obtained by some students in an examination.Marks0-910-1920-2930-3940-4950-5960-6970-7980-8990-99Frequency5050406010010050251510(a) Construct a cumulative frequency tab…
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2008
A survey indicated that 65% of the families in an area have cars. Find, correct to three decimal places, the probability that among 7 families selected at random in the area(a) exactly 5 ;(b) 3 or 4 ;(c) at most 2 of the…
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2008
(a) The point P(3, -5) is rotated through an angle 60° anticlockwise about the origin. (i) Obtain the matrix for the rotation ; (ii) Find the image P' of the point P under the rotation.(b) A linear transformation is give…
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2008
(a) Express \(\frac{2x^{2} - 5x + 1}{x^{3} - 4x^{2} + 3x}\) in partial fractions.(b) If \(\begin{vmatrix} x - 3 & -4 & 3 \\ 5 & 2 & 2 \\ 2 & -4 & 6 - x \end{vmatrix} = -24\), find the value of x.
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2008
(a) If \(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} + 5x - 6 = 0\), find the equation whose roots are \((\alpha - 2)\) and \((\beta - 2)\).(b) Given that \(\int_{0} ^{k} (x^{2} - 2x) \mathrm {d} x = 4\…
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2008
(a) The sum of the first n terms of a sequence is given by \(S_{n} = \frac{5n^{2}}{2} + \frac{5n}{2}\). Write down the first four terms of the sequence and an expression for the nth term.(b) The equation of a circle is g…
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2008
The magnitude of a force \(xi + 15j\) is 17N. Find the :(a) possible values of x ; (b) directions of the forces, correct to the nearest degree.
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2008
A car travelling at a velocity of 50kmh\(^{-1}\), covers a distance of 20km. If it was accelerating at 6kmh\(^{-1}\), calculate, correct to one decimal place, the time the car took to cover the distance.
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2008
The table shows the distribution of marks obtained by some candidates in a test.Marks10-1415-2425-2930-3940-4445-49No of candidates14302218124Draw a histogram for the distribution.
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2008
In a hotel, the breakfast is a choice between yam (Y) or plantain (P) or both. The Venn diagram shows the choices made by 25 guests of the hotel.(a) Find the value of x;(b) What is the probability that a guest chosen at…
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2008
A straight line passes through the point P(-1, 3). Another line which passes through Q(-4, 4) intersects the first line at the point R(k, 5), where k is a constant. If \(
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2008
Differentiate, with respect to x, \(x^{3} + 2x\) from the first principle.
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2008
If \(\sin A = \frac{3}{5}\) and \(\cos B = \frac{15}{17}\), where A is an obtuse angle and B is acute, find the value of \(\cos (A + B)\).
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2008
A function F is defined on the set R, of real numbers by \(f : x \to px^{2} + qx + 2\), where p and q are constants. If \(f(-2) = 0\) and \(f(1) = 3\), find \(f(-4)\).
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2008
In the diagram above, forces P, Q and 50N are acting on a body at M. If the system is in equilibrium, calculate, in terms of \(\theta\), the magnitude of P.
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2008
The distance between P(x, 7) and Q(6, 19) is 13 units. Find the values of x.
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