Waec Mathematics 1997 Past Questions and Answers

Question 46:

• WAEC 1997

A bag contains 3 white, 6 red, 5 blue identical balls. A ball is picked at random from bag. What is the probability that is either white or blue?

A. 9/14
B. 4/7
C. 3/7
D. 5/14
E. 3/14

Question 47:

• WAEC 1997

(a) Copy and complete the binary multiplication table:

x	10	11	100	101
10	100		1000
11	110		1100
100			10000	10100

(b) Convert \(11.011_{two}\) to a number in base ten.
(c) Simplify \(\frac{9.6 \times 10^{18}}{0.24 \times 10^{5}}\) and express your answer in the form \(P \times 10^{m}\) where 1 < P < 10 and m is an integer.

Question 48:

• WAEC 1997

(a) The 6th term of an A.P is 35 and the 13th term is 77. Find the 20th term.
(b)
The Venn diagram represents three subsets P, Q and R of the universal set U. Copy the Venn diagram. Shade and indicate the regions represented by (i) \(P \cap Q' \cap R\) ; (ii) \(P' \cap Q \cap R'\).

Question 49:

• WAEC 1997

(a) Given that \(\sin x = \frac{5}{13}, 0° \leq x \leq 90°\), find \(\frac{\cos x - 2 \sin x }{2\tan x}\).
(b)
The diagram represents the vertical cross-section of a mountain with height NQ standing on a horizontal ground PRN. If the angles of elevation of the top of the mountain from P and R are 30° and 70° respectively and PR = 500m, calculate, correct to 3 significant figures :
(i) |QP| ; (ii) the height of the mountain.

Question 50:

• WAEC 1997

The table below shows how a company's sales manager spent his 1995 annual salary.

Food	30%
Rent	18%
Car Maintenance	25%
Savings	12%
Taxes	5%
Others	10%

(a) Represent this information on a pie chart.
(b) Find his savings at the end of the year if his annual salary was N60,000.00.