Waec Further Mathematics Past Questions and Answers

Question 526:

• WAEC 2012

Given that \(P = \begin{pmatrix} 2 & 1 \\ 5 & -3 \end{pmatrix}\) and \(Q = \begin{pmatrix} 4 & -8 \\ 1 & -2 \end{pmatrix}\), Find (2P - Q).

A. \(\begin{pmatrix} -6 & 17 \\ 3 & 1 \end{pmatrix}\)
B. \(\begin{pmatrix} -2 & 9 \\ 4 & 1 \end{pmatrix}\)
C. \(\begin{pmatrix} 0 & -6 \\ 9 & -8 \end{pmatrix}\)
D. \(\begin{pmatrix} 0 & 10 \\ 9 & -4 \end{pmatrix}\)

Question 527:

• WAEC 2012

A binary operation, \(\Delta\), is defined on the set of real numbers by \(a \Delta b = a + b + 4\). Find the identity element.

A. 4
B. 2
C. \(\frac{1}{4}\)
D. -4

Question 528:

• WAEC 2012

The marks obtained by 10 students in a test are as follows: 3, 7, 6, 2, 8, 5, 9, 1, 4 and 10. Find the mean mark.

A. 4.50
B. 5.50
C. 6.50
D. 6.75

Question 529:

• WAEC 2012

The marks obtained by 10 students in a test are as follows: 3, 7, 6, 2, 8, 5, 9, 1, 4 and 10. Find the variance.

A. 8.25
B. 8.50
C. 9.00
D. 9.17

Question 530:

• WAEC 2012

If r denotes the correlation coefficient between two variables, which of the following is always true?

A. \(0 < r \leq 1\)
B. \(-1 \leq r < 1\)
C. \(-1 < r \leq 0\)
D. \(-1 \leq r \leq 1\)