Further Mathematics 2019 Waec Past Questions and Answers

Question 11 :

• WAEC 2019

Given that \(\frac{1}{x^2 - 4} = \frac{p}{(x + 2)} + \frac{Q}{(x - 2})\)
x \(\neq \pm 2\)
Find the value of (P + Q)

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

Question 12 :

• WAEC 2019

Find the sum of the first 20 terms of the sequence -7-3, 1, ......

A. 620
B. 660
C. 690
D. 1240

Question 13 :

• WAEC 2019

Find the value of x for which 6\(\sqrt{4x^2 + 1}\) = 13x, where x > 0

A. \(\frac{6}{5}\)
B. \(\frac{25}{24}\)
C. \(\frac{24}{25}\)
D. \(\frac{5}{6}\)

Question 14 :

• WAEC 2019

Calculate the distance between points (-2, -5) and (-1, 3)

A. \(\sqrt{5}\) units
B. \(\sqrt{17}\) units
C. \(\sqrt{65}\) units
D. \(\sqrt{73}\) units

Question 15 :

• WAEC 2019

If P = \(\begin {pmatrix} 2 & 3\\ -4 & 1 \end {pmatrix}\), Q = \(\begin{pmatrix} 6 \\ 8 \end {pmatrix}\) and PQ = k \(\begin {pmatrix} 45\\ -20 \end {pmatrix}\). Find the value of k.

A. -\(\frac{5}{4}\)
B. -\(\frac{4}{5}\)
C. \(\frac{4}{5}\)
D. \(\frac{5}{4}\)