Waec Further Mathematics Past Questions and Answers

Question 641:

• 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 642:

• 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. \(\frac{5}{4}\)

Question 643:

• WAEC 2019

The second and fourth terms of an exponential sequence (G.P) are \(\frac{2}{9}\) and \(\frac{8}{81}\) respectively. Find the sixth term of the sequence

A. \(\frac{81}{32}\)
B. \(\frac{9}{8}\)
C. \(\frac{1}{4}\)
D. \(\frac{32}{729}\)

Question 644:

• WAEC 2019

Point X and Y are on the same horizontal base as the foot of a building such that X is 96m due east of the building and Y is due west. If the angle of elevation of the top of that building from X is 30\(^o\) and that of Y is 50\(^o\), calculate the distance of Y from the base of the building.

A. 30m
B. 32m
C. 42m
D. 50m

Question 645:

• WAEC 2019

Find the coordinates of the point in the curve y = 3x\(^2\) - 2x - 5 where the tangent is parallel to the line y = - 5 = 8x

A. \(\begin{pmatrix} - \frac{5}{3} &, 0 \end {pmatrix}\)
B. \(\begin{pmatrix} 0, & - \frac{5}{3} \end {pmatrix}\)
C. \(\begin{pmatrix} 0, & \frac{5}{3} \end {pmatrix}\)
D. \(\begin{pmatrix} \frac{5}{3} &, 0 \end {pmatrix}\)