2011
(a) Forces \(F_{1} = (3N, 210^\circ)\) and \(F_{2} = (4N, 120^\circ)\) act on a particle of mass 7kg which is at rest. Calculate the : (i) acceleration of the particle ; (ii) velocity of the particle after 3 seconds. (b)…
See more
2011 WAEC SSCE Further Mathematics Past Questions
Ulearngo is an independent study app. It is not affiliated with, endorsed by, or representing West African Examinations Council (WAEC). Always confirm official exam, admission, registration, syllabus, timetable, and result information from WAEC official website, WAEC Nigeria.
2011
(a) \(m \begin{pmatrix} 2 \\ 1 \end{pmatrix} + n \begin{pmatrix} -1 \\ 2 \end{pmatrix} = \begin{pmatrix} 5 \\ -4 \end{pmatrix}\) where m and n are scalars. Find the value of (m + n).(b) A(-1, 3), B(2, -1) and C(5, 3) are…
See more
2011
(a) An object P of mass 6.5kg is suspended by two light inextensible strings, AP and BP. The strings make angles 50° and 60° respectively with the downward vertical.(i) Express the forces acting on P in component form; (…
See more
2011
A bag contains 4 red, 6 blue and 8 green identical marbles.(a) If three marbles are drawn at random, without replacement, calculate the probability that :(i) all will be green ; (ii) all will have the same colour.(b) If…
See more
2011
The table shows the frequency distribution of marks scored by some candidates in an examination.Marks0-910-1920-2930-3940-4950-5960-6970-7980-8990-99Freq2581820155421(a) Draw the cumulative frequency curve of the distrib…
See more
2011
A survey conducted revealed that four out of every twenty taxi drivers do not have a valid driving license. If 6 drivers are selected at random, calculate, correct to three decimal places, the probability that(a) exactly…
See more
2011
(a) Find the equation of the tangent to curve \(\frac{x^{2}}{4} + y^{2} = 1\) at point \(1, \frac{\sqrt{3}}{2}\).(b) Express \(\frac{3x + 2}{x^{2} + x - 2}\) in partial fractions.
See more
2011
The images of points (2, -3) and (4, 5) under a linear transformation A are (3, 4) and (5, 6) respectively. Find the :(a) matrix A ; (b) inverse of A ; (c) point whose image is (-1, 1).
See more
2011
(a) If \(A = \begin{pmatrix} -2 & 5 \\ 4 & 3 \end{pmatrix}\) and \(B = \begin{pmatrix} 3 & 1 \\ 2 & 3 \end{pmatrix}\), find the values of x and y such that \(BA = 2\begin{pmatrix} 3 & 7 \\ -2 & x…
See more
2011
(a) Find, from first principles, the derivative of \(f(x) = (2x + 3)^{2}\).(b) Evaluate : \(\int_{1} ^{2} \frac{(x + 1)(x^{2} - 2x + 2)}{x^{2}} \mathrm {d} x\)
See more
2011
A particle of mass 400g is moving under the action of two forces \(F_{1} = (35N, 210°), F_{2} = (35\sqrt{3} N, 300°)\) and a resistance of 40N. Find the magnitude of the (a) resultant of \(F_{1}\) and \(F_{2}\).(b) resul…
See more
2011
A tyre manufacturing company researched into the life span of one type of their motorcycle tyres. The results were as follows :Distance(100km)10-1920-2930-3940-4950-5960-69Number of tyres306993573615(a) Draw a histogram…
See more
2011
(a) Evaluate \(\frac{^{9}P_{3}}{^{15}C_{3}} + \frac{^{5}C_{3}}{^{3}P_{2}}\) correct to two decimal places.(b) A committee of 2 tutors and 5 pupils is to be formed among 6 tutors and 10 pupils. In how many ways can this b…
See more
2011
(a) Write the following as column vectors: \(r = (10N, 090°) ; q = (8N, 135°)\).(b) Use your answer in (a) to find \((r + q)\).
See more
2011
Solve \(2^{(2y + 2)} - 9(2^{y}) = -2\).
See more
2011
(a) Write down the binomial expansion of \((2 - x)^{5}\) in ascending powers of x.(b) Use your expansion in (a) to evaluate \((1.98)^{5}\) correct to four decimal places.
See more
2011
If \(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} - 7x + 4 = 0\), find the equation whose roots are \(\frac{\alpha}{\beta}\) and \(\frac{\beta}{\alpha}\).
See more
2011
If \(f(x) = 6x^{3} + 13x^{2} + 2x - 5\) and \(f(-1) = 0\), find the factors of f(x).
See more
2011
Find, correct to two decimal places, the acute angle between \(p = \begin{pmatrix} 13 \\ 14 \end{pmatrix}\) and \(q = \begin{pmatrix} 12 \\ 5 \end{pmatrix}\).
See more
2011
Find the unit vector in the direction of (-5i + 12j).
See more