Mathematics 2008 Waec Past Questions and Answers

Question 46 :

• WAEC 2008

Every staff in an office owns either a Mercedes and/or a Toyota car. 20 own Mercedes, 15 own Toyota and 5 own both. How many staff are there in the office?

A. 25
B. 30
C. 35
D. 45

Question 47 :

• WAEC 2008

(a) Without using calculator or tables, find the value of \(\log 3.6\) given that \(\log 2 = 0.3010, \log 3 = 0.4771\) and \(\log 5 = 0.6990\).
(b) If all numbers in the equation \(\frac{y}{y + 101} = \frac{11}{10010}\) are in base two, solve for y.

Question 48 :

• WAEC 2008

(a) Solve the inequality : \(\frac{2}{5}(x - 2) - \frac{1}{6}(x + 5) \leq 0\).
(b) Given that P = \(\frac{x^{2} - y^{2}}{x^{2} + xy}\),
(i) express P in its simplest form ; (ii) find the value of P if x = -4 and y = -6.

Question 49 :

• WAEC 2008

The table below shows how a man spends his income in a month.

Items	Amount Spent
Food	N4500
House Rent	N3000
Provisions	N2500
Electricity	N2000
Transportation	N5000
Others	N3000

(a) Represent the information on a pie chart.
(b) What percentage of his income is spent on transportation?

Question 50 :

• WAEC 2008

(a) A pentagon is such that one of its exterior sides is 60°. Two others are (90 - m)° each while the remaining angles are (30 + 2m)° each. Find the value of m.
(b)



In the diagram, PQR is a straight line, \(\overline{QR} = \sqrt{3} cm\) and \(\overline{SQ} = 2 cm\). Calculate, correct to one decimal place, < PQS.