Further Mathematics 2021 Waec Past Questions and Answers

Question 21 :

• WAEC 2021

If f(x) = 4x\(^3\) + px\(^2\) + 7x - 23 is divided by (2x -5), the remainder is 7. find the value of p

A. -7.0
B. -8.0
C. -9.6
D. 9

Question 22 :

• WAEC 2021

For what value of k is 4x\(^2\) - 12x + k, a perfect square?

A. -9
B. \(\frac{-9}{4}\)
C. \(\frac{9}{4}\)
D. 9

Question 23 :

• WAEC 2021

A binary operation * is defined on the set of real numbers, R, by
P * q = \(\frac{q^2 - p^2}{2pq}\). Find 3 * 2

A. \(\frac{13}{12}\)
B. \(\frac{5}{12}\)
C. -\(\frac{5}{12}\)
D. \(\frac{-1}{2}\)

Question 24 :

• WAEC 2021

Find the inverse of \(\begin{pmatrix} 4 & 2 \\ -3 & -2 \end{pmatrix}\)

A. \(\begin{pmatrix} 1 & 1 \\ -1.5 & -2 \end{pmatrix}\)
B. \(\begin{pmatrix} 1 & -1 \\ 1.5 & -2 \end{pmatrix}\)
C. \(\begin{pmatrix} -2 & 1 \\ 1.5 & 1 \end{pmatrix}\)
D. \(\begin{pmatrix} -2 & -1 \\ 1.5 & 1 \end{pmatrix}\)

Question 25 :

• WAEC 2021

Given that P = { x: 0 ≤ x ≤ 36, x is a factor of 36 divisible by 3} and Q = { x: 0 ≤ x ≤ 36, x is an even number and a perfect square}, find P n Q.

A. {1,4,9,36}
B. {3,9.36}
C. {9,36}
D. {36}