Waec Further Mathematics 2010 Past Questions and Answers

Question 36:

• WAEC 2010

If \(h(x) = x^{3} - \frac{1}{x^{3}}\), evaluate \(h(a) - h(\frac{1}{a})\).

A. -1
C. \(2a^{3} - \frac{2}{a^{3}}\)
D. \(\frac{2}{a^{3}} - 2a^{3}\)

Question 37:

• WAEC 2010

A company took delivery of 12 vehicles made up of 7 buses and 5 saloon cars for two of its departments; Personnel and General Administration. If the Personnel department is to have at least 3 saloon cars, in how many ways can these vehicles be distributed equally between the departments?

A. 350
B. 455
C. 462
D. 571

Question 38:

• WAEC 2010

A bicycle wheel of diameter 70 cm covered a distance of 350 cm in 2 seconds. How many radians per second did it turn?

A. 5
B. 7
C. 8
D. 10

Question 39:

• WAEC 2010

The initial velocity of an object is \(u = \begin{pmatrix} -5 \\ 3 \end{pmatrix} ms^{-1}\). If the acceleration of the object is \(a = \begin{pmatrix} 3 \\ -4 \end{pmatrix} ms^{-2}\) and it moved for 3 seconds, find the final velocity.

A. \(\begin{pmatrix} -14 \\ 15 \end{pmatrix} ms^{-1}\)
B. \(\begin{pmatrix} -2 \\ 1 \end{pmatrix} ms^{-1}\)
C. \(\begin{pmatrix} 4 \\ -9 \end{pmatrix} ms^{-1}\)
D. \(\begin{pmatrix} 14 \\ -9 \end{pmatrix} ms^{-1}\)

Question 40:

• WAEC 2010

Find the maximum value of \(2 + \sin (\theta + 25)\).

A. 1
B. 2
C. 3
D. 4