Further Mathematics 2006 Waec Past Questions and Answers

Question 21 :

• WAEC 2006

Simplify \(8^{n} \times 2^{2n} \div 4^{3n}\)

A. \(2^{-n}\)
B. \(2^{1 - n}\)
C. \(2^{n}\)
D. \(2^{n + 1}\)

Question 22 :

• WAEC 2006

The area of a sector of a circle is 3\(cm^{2}\). If the sector subtends an angle of 1.5 radians at the centre, calculate the radius of the circle.

A. 1 cm
B. \(\sqrt{2}\) cm
C. 2 cm
D. 4 cm

Question 23 :

• WAEC 2006

A particle of mass 2.5 kg is moving at a speed of 12 m/s. If a force of magnitude 10 N acts against it, find how long it takes to come to rest.

A. 1.5 s
B. 3.0 s
C. 4.0 s
D. 6.0 s

Question 24 :

• WAEC 2006

Age(in years)	1 - 5	6 - 10	11 - 15
Frequency	3	5	2

Calculate the standard deviation of the distribution.

A. 1.10
B. 2.36
C. 3.50
D. 7.50

Question 25 :

• WAEC 2006

In a firing contest, the probabilities that Kojo and Kwame hit the target are \(\frac{2}{5}\) and \(\frac{1}{3}\) respectively. What is the probability that none of them hit the target?

A. \(\frac{1}{5}\)
B. \(\frac{2}{5}\)
C. \(\frac{3}{5}\)
D. \(\frac{4}{5}\)