2015
(a) A bucket full of water with a mass of 8kg is pulled out of a well with a light inextensible rope. Find its acceleration when tha tension in the rope is 150N. [Take \(g = 10ms^{-2}\)].(b) A mass of 12kg is acted upon…
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2015 WAEC SSCE Further Mathematics Past Questions
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2015
(a) Given that \(\overrightarrow{AB} = \begin{pmatrix} 4 \\ 5 \end{pmatrix}\) and \(\overrightarrow{BC} = \begin{pmatrix} -3 \\ 5 \end{pmatrix}\); find the :(i) angle between the vectors AB and AC ; (ii) unit vector alon…
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2015
(a) Edem and his wife were invited to a dinner by a family of 5. They all sat in such a way in such a way that Edem sat next to his wife. Find the number of ways of seating them in a row.(b) A bag contains 4 red and 5 bl…
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2015
The table shows the distribution of the heights of a group of people.Height(m)0.4 - 0.50.6 - 0.91.0 - 1.21.3 - 1.41.5 - 1.7Number of people281266(a) Draw a histogram to illustrate the distribution.(b) Using an assumed me…
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2015
(a)(i) Write down the binomial expansion of \((1 + x)^{4}\).(ii) Use the result in (a)(i) to evaluate, correct to three decimal places \((\frac{5}{4})^{4}\).(b) The first, second and fifth terms of a linear sequence (A.P…
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2015
(a) If \(\frac{\sqrt{5} + 4}{3 - 2\sqrt{5}} - \frac{2 + \sqrt{5}}{4 - 2\sqrt{5}} = a + b\sqrt{5}\), find the values of a and b.(b)(i) Evaluate : \(\begin{vmatrix} 2 & -1 & 2 \\ 1 & 3 & 4 \\ 1 & 2 &…
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2015
(a) The functions \(f : x \to x^{2} + 1\) and \(g : x \to 5 - 3x\) are defined on the set of the real numbers, R.(i) State the domain of \(f^{-1}\), the inverse of f ; (ii) find \(g^{-1} (2)\).(b) Evaluate : \(\int \frac…
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2015
Forces of magnitude 3N, 4N and 2N act along the vectors \(j ; -i + j\) and \(i + j\) respectively. Calculate, correct to one decimal place, the magnitude of the resultant of the forces.
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2015
There are 8 boys and 6 girls in a class. If two students are selected at random from the class, find the probability that they are of(a) the same sex ;(b) different sex.
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2015
Five finalists in a beauty pageant were ranked by two judges X and Y as shown in the table :JudgesAnneLindaSusanRoseEricaX14352Y32451Calculate the Spearman's rank correlation coefficient.
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2015
A car moving with an initial velocity, u, travels in a straight line with a constant acceleration of 3ms\(^{-2}\) until it attains a velocity of 33ms\(^{-1}\) after 6 seconds. Calculate the distance travelled by the car.…
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2015
Solve : \(\tan (2x - 15)° - 1 = 0\), for values of x such that \(0° \leq x \leq 360°\).
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2015
If \(f ' '(x) = 2\), \(f ' (1) = 0\) and \(f(0) = - 8\), find f(x).
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2015
Points (2, 1) and (6, 7) are opposite vertices of a square which is inscribed in a circle. Find the :(a) centre of the circle ; (b) equation of the circle.
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2015
A binary operation A is defined on the set of real numbers, R, by \(a \Delta b = a^{3} - b^{3}\). Without using calculator, find the value of \((\sqrt{3} + \sqrt{2}) \Delta (\sqrt{3} - \sqrt{2})\) leaving the answer in s…
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2015
Forces of magnitude 8N and 5N act on a body as shown above. Calculate, correct to 2 dp, the angle that the resultant makes with the horizontal.
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2015
Forces of magnitude 8N and 5N act on a body as shown above. Calculate, correct to 2 d.p., the resultant force acting at O.
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2015
Forces \(F_{1} = (8N, 030°)\) and \(F_{2} = (10N, 150°)\) act on a particle. Find the horizontal component of the resultant force.
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2015
The sum, \(S_{n}\), of a sequence is given by \(S_{n} = 2n^{2} - 5\). Find the 6th term.
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2015
A 24N force acts on a body such that it changes its velocity from 5m/s to 9m/s in 2 secs.If the body is travelling in a straight line, calculate the distance covered in the period.
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