Waec Mathematics 2007 Past Questions and Answers

Question 66:

• WAEC 2007

In the diagram, O is the centre of the circle and PQ is a diameter. Triangle RSO is an equilateral triangle of side 4cm. Find the area of the shaded region

A. 43.36cm²
B. 32.07²
C. 18.21²
D. 6.93²

Question 67:

• WAEC 2007

Find the product of 0.0409 and 0.0021 leaving your answer in the standard form

A. 8.6 x 10^-6
B. 8.6 x 10⁵
C. 8.6 x 10^-4
D. 8.6 x 10⁵

Question 68:

• WAEC 2007

Convert 42₅ to base three numeral

A. 201₃
B. 210₃
C. 211₃
D. 343₃

Question 69:

• WAEC 2007

(a) Evaluate, without using mathematical tables or calculator, \((3.69 \times 10^{5}) \div (1.64 \times 10^{-3})\), leaving your answer in standard form.
(b) A man invested N20,000 in bank A and N25,000 in bank B at the beginning of the year. Bank A pays simple interest at a rate of y% per annum and B pays 1.5y% per annum. If his total interest at the end of the year from the two banks was N4,600, find the value of y.

Question 70:

• WAEC 2007

(a) Simplify : \(\frac{x^{2} - 8x + 16}{x^{2} - 7x + 12}\).
(b) If \(\frac{1}{2}, \frac{1}{x}, \frac{1}{3}\) are successive terms of an arithmetic progression (A.P), show that \(\frac{2 - x}{x - 3} = \frac{2}{3}\).