Waec Further Mathematics 2010 Past Questions and Answers

Question 46:

• WAEC 2010

If \(3x^{2} + 2y^{2} + xy + x - 7 = 0\), find \(\frac{\mathrm d y}{\mathrm d x}\) at the point (-2, 1).

Question 47:

• WAEC 2010

Five students are to be selected from a large population. If 60% of them are boys and the rest are girls, find the probability that :
(a) exactly 3 of them are boys;
(b) at least 3 of them are girls.

Question 48:

• WAEC 2010

The table shows the marks obtained by a group of students in a class test.

Marks	40 - 44	45 - 49	50 - 54	55 - 59	60 - 64	65 - 69
No ofstudents	4	9	18	23	10	6

(a) Draw a histogram for the distribution ;
(b) Use your histogram to estimate the median of the distribution.

Question 49:

• WAEC 2010

The position vector of a particle of mass 3 kg moving along a space curve is given by \(r = (4t^{3} - t^{2})i - (2t^{2} - t)j\) at any time t seconds. Find the force acting on it at t = 2 seconds.

Question 50:

• WAEC 2010

A uniform plank PQ of length 8m and mass 10kg is supported horizontally at the end P and at point R, 3 metres from Q. A boy of mass 20 kg walks along the plank starting from P. If the plank is in equilibrium, calculate the
(a) reactions at P and R when he walked 1.5 metres;
(b) distance he had walked when the two reactions are equal;
(c) distance he walked before the plank tips over.