Waec Further Mathematics 2007 Past Questions and Answers

Question 11:

• WAEC 2007

Find the fourth term of the binomial expansion of \((x - k)^{5}\) in descending powers of x.

A. \(10x^{3}k^{2}\)
B. \(5x^{3}k^{2}\)
C. \(-5x^{2}k^{3}\)
D. \(-10x^{2}k^{3}\)

Question 12:

• WAEC 2007

The tangent to the curve \(y = 4x^{3} + kx^{2} - 6x + 4\) at the point P(1, m) is parallel to the x- axis, where k and m are constants. Find the value of k.

A. 3
B. 2
C. -3
D. -2

Question 13:

• WAEC 2007

The tangent to the curve \(y = 4x^{3} + kx^{2} - 6x + 4\) at the point P(1, m) is parallel to the x- axis, where k and m are constants. Determine the coordinates of P.

A. (1, 2)
B. (1, 1)
C. (1, -1)
D. (1, -2)

Question 14:

• WAEC 2007

Given that \(\log_{2} y^{\frac{1}{2}} = \log_{5} 125\), find the value of y.

A. 16
B. 25
C. 36
D. 64

Question 15:

• WAEC 2007

Two vectors m and n are defined by \(m = 3i + 4j\) and \(n = 2i - j\). Find the angle between m and n.

A. 97.9°
B. 79.7°
C. 63.4°
D. 36.4°