Waec Further Mathematics Past Questions For Year 2020

Question 1

A binary operation * is defined on the set of real number, R, by x*y = x\(^2\) - y\(^2\) + xy, where x, \(\in\) R. Evaluate (\(\sqrt{3}\))*(\(\sqrt{2}\))

\({\color{red}2x} \times 3\)

waec 2020

• A. 1 - \(\sqrt{6}\)
• B. \(\sqrt{6}\) - 1
• C. \(\sqrt{6}\)
• D. 1 + \(\sqrt{6}\)

Question 2

Given that X : R \(\to\) R is defined by x = \(\frac{y + 1}{5 - y}\) , y \(\in\) R, find the domain of x.

waec 2020

• A. {y : y \(\in\) R, y \(\neq\) 0}
• B. {y : y \(\in\) R, y \(\neq\) 1}
• C. {y : y \(\in\) R, y \(\neq\) 5}
• D. {y : y \(\in\) R, y \(\neq\) 7}

Question 3

If \(\begin{pmatrix} p+q & 1\\ 0 & p-q \end {pmatrix}\) = \(\begin{pmatrix} 2 & 1 \\ 0 & 8 \end{pmatrix}\)

Find the values of p and q

waec 2020

• A. p = 5, q = 3
• B. p = 5, q = -3
• C. p = -5, q = -3
• D. p = -5, q = 3

Question 4

If \(\int^3_0(px^2 + 16)dx\) = 129. Find the value of p.

waec 2020

• A. 9
• B. 8
• C. 7
• D. 6

Question 5

If cos x = -0.7133, find the values of x between 0\(^o\) and 360\(^o\)

waec 2020

• A. 44.5\(^o\) , 224.5\(^o\) 
• B. 123.5\(^o\) , 190.5\(^o\) 
• C. 135.5\(^o\) , 213.5\(^o\) 
• D. 135.5\(^o\) , 224.5\(^o\)