Waec Mathematics 1991 Past Questions and Answers

Question 51:

• WAEC 1991

In the diagram above , |AD| = 10cm, |DC| = 8cm and |CF| = 15cm. Which of the following is correct?

A. Area BCF = Area DCF
B. Area ADE = Area ADF
C. Area ADE = Area DCFE
D. Area CBF = Area DABC
E. Area DABO = Area CFEO

Question 52:

• WAEC 1991

Simplify :
(i) \(2\frac{2}{3} - (2\frac{1}{2} - 1\frac{4}{5})\)
(ii) \(\frac{3.25 - 1.64}{2.47 - 2.01}\)

Question 53:

• WAEC 1991

(a) Using logarithm table, evaluate \(\frac{\sqrt[3]{1.376}}{\sqrt[4]{0.007}}\) correct to three significant figure.
(b) Without using Mathematical tables, find the value of \(\frac{\log 81}{\log \frac{1}{3}}\).

Question 54:

• WAEC 1991

In a certain class, 22 pupils take one or more of Chemistry, Economics and Government. 12 take Economics (E), 8 take Government (G) and 7 take Chemistry (C). Nobody takes Economics and Chemistry and 4 pupils take Economics and Government.
(a)(i) Using set notation and the letters indicated above, write down the two statements in the last sentence; (ii) Draw a Venn diagram to illustrate the information.
(b) How many pupils take (i) both Chemistry and Government ? (ii) Government only?

Question 55:

• WAEC 1991

A man has 9 identical balls in a bag. Out of these, 3 are black, 2 are blue and the remaining are red.
(a) If a ball is drawn at random, what is the probability that it is (i) not blue? (ii) not red?
(b) If 2 balls are drawn at random, one after the other, what is the probability that both of them will be (i) black, if there is no replacement? (ii) blue, if there is a replacement?