Waec Further Mathematics 2008 Past Questions and Answers

Question 46:

• WAEC 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 random chose only one of the two?

Question 47:

• WAEC 2008

The table shows the distribution of marks obtained by some candidates in a test.

Marks	10-14	15-24	25-29	30-39	40-44	45-49
No of candidates	14	30	22	18	12	4

Draw a histogram for the distribution.

Question 48:

• WAEC 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.

Question 49:

• WAEC 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.

Question 50:

• WAEC 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 given by \(x^{2} + y^{2} - 10x - 8y + 25 = 0\).
(i) Show that the circle touches the x- axis ; (ii) Find the coordinates of the point of contact.