FURTHER MATHEMATICS Past Questions And Answers
Given that P = {x : 1 \(\geq\) x \(\geq\) 6} and Q = {x : 2 < x < 10}. Where x are integers, find n(p \(\cap\) Q)
- A. 4
- B. 6
- C. 8
- D. 10
Which of the following binary operations is not commutative?
- A. \(a * b = \frac{1}{a} + \frac{1}{b}\)
- B. \(a * b = a + b - ab\)
- C. \(a * b = 2a + 2b + ab\)
- D. \(a * b = a - b + ab\)
In the diagram, a ladder PS leaning against a vertical wall PR makes angle x° with the horizontal floor. The ladder slides down to a point QT such that angle QTR = 30° and SNT = y°. Find an expression for tan y.
- A. \(\frac{\sqrt{3} \tan x - 1}{\sqrt{3} + \tan x}\)
- B. \(\frac{\sqrt{3} \tan x}{\sqrt{3} + \tan x}\)
- C. \(\frac{\sqrt{3} \tan x + 1}{\sqrt{3} - \tan x}\)
- D. \(\frac{3 \tan x - 1}{\sqrt{3} - \tan x}\)
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
Solve \(x^{\frac{2}{3}} - 5x^{\frac{1}{3}} + 6 = 0\).
View Discussion (0)WAEC 2007 THEORYCalculate the mean deviation of 5, 8, 2, 9 and 6
- A. 5
- B. 4
- C. 3
- D. 2
If \(\begin{vmatrix} m-2 & m+1 \\ m+4 & m-2 \end{vmatrix} = -27\), find the value of m.
- A. \(3\frac{8}{9}\)
- B. \(3\)
- C. \(2\frac{1}{2}\)
- D. \(2\)
Determine the coefficient of \(x^{2}\) in the expansion of \((a + 3x)^{6}\).
- A. \(18a^{2}\)
- B. \(45a^{4}\)
- C. \(135a^{4}\)
- D. \(1215a^{2}\)
If \(\alpha\) and \(\beta\) are the roots of the equation 3x\(^2\) + 4x - 5 = 0, find the value of (\(\alpha - \beta\)), leaving the answer in surd form.
View Discussion (0)WAEC 2019 THEORYGiven that P = (-4, -5) and Q = (2,3), express →PQ in the form (k,θ). where k is the magnitude and θ the bearing.
- A. (10 units, 053°)
- B. (9 units, 049°)
- C. (10 units, 037°)
- D. (9 units, 027°)