Further Mathematics 2021 Waec Past Questions and Answers

Question 11 :

• WAEC 2021

The table shows the distribution of marks obtained by some students in a test

Marks	0-9	10-19	20-29	30-39	40-49
Frequency	4	12	16	6	2

Find the modal class mark.

A. 4.5
B. 14.5
C. 24.5
D. 34.5

Question 12 :

• WAEC 2021

Simplify ( \(\frac{1}{2 - √3}\) + \(\frac{2}{2 + √3}\) )\(^{-1}\)

A. \(\frac{-1}{33}\)(6 + √3)
B. \(\frac{-1}{33}\)(6 - √3)
C. \(\frac{1}{33}\)(6 + √3)
D. \(\frac{1}{33}\)(6 - √3)

Question 13 :

• WAEC 2021

For what range of values of x is x\(^2\) - 2x - 3 ≤ 0

A. {x: -1 ≤ x ≤ 3}
B. { x: -3 ≤ x ≤ 1}
C. { x: -3 ≤ x ≤ -1}
D. { x: 1 ≤ x ≤ 3}

Question 14 :

• WAEC 2021

Given that M = \(\begin{pmatrix} 3 & 2 \\ -1 & 4 \end{pmatrix}\) and N = \(\begin{pmatrix} 5 & 6 \\ -2 & -3 \end{pmatrix}\), calculate (3M - 2N)

A. \(\begin{pmatrix} 1 & 6 \\ 1 & 18 \end{pmatrix}\)
B. \(\begin{pmatrix} -1 & -6 \\ 1 & 18 \end{pmatrix}\)
C. \(\begin{pmatrix} 1 & 6 \\ -1 & -18 \end{pmatrix}\)
D. \(\begin{pmatrix} -1 & -6 \\ -1 & -18 \end{pmatrix}\)

Question 15 :

• WAEC 2021

Simplify \(\frac{1}{3}\) log8 + \(\frac{1}{3}\) log 64 - 2 log6

A. Log \(\frac{2}{7}\)
B. Log 2
C. Log \(\frac{2}{9}\)
D. Log 9