How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.
Determine the locus of a point inside a square PQRS which is eqidistant from PQ and QR
The diagonal QS
the perpendicular bisector of PQ
The diagonal PR
side SR
Correct answer is A
The diagonal QS bisects the angle formed by PQ and QR
∴ [A]
Find the midpoint of the line joining P(-3, 5) and Q(5, -3).
(1, 1)
(2, 2)
(4, 4)
(4, -4)
Correct answer is A
\(Mid point = \frac{(x_1 + x_2)}{2} ; \frac{(y_1 + y_2)}{2}\\
= \frac{(-3 + 5)}{2} ; \frac{(5 - 3)}{2}\\
= \frac{2}{2} ; \frac{2}{2}\\
= (1, 1)\)
The sum of the interior angles of a pentagon is 6x + 6y. Find y in the terms of x
y = 90 - x
y = 150 - x
y = 60 - x
y = 120 -x
Correct answer is A
6x + 6y = (n - 2) 180
6x + 6y= (5 - 2) 180
6(x + y) = 3 * 180
x + y = (3 * 180)/6
x + y = 90o
y = 90 - x
Find the value of α2 + β2 if α + β = 2 and the distance between points (1, α) and (β, 1)is 3 units
14
3
5
11
Correct answer is D
\(PQ = \sqrt{(β - 1)^{2} + (1 - α)^{2}}\\
3 =\sqrt{(β^{2} -2β^{2} + 1 + 1 - 2α + α^{2})}\\
3 = \sqrt{(α^{2} + β^{2} - 2α + 2β + 2)}\\
3 = \sqrt{(α^{2} + β^{2} - 2(α + β) + 2)}\\
3 = \sqrt{(α^{2} + β^{2} - 2 * 2 + 2)}\\
3 = \sqrt{(α^{2} + β^{2} - 2)}\\
9 = (α^{2} + β^{2} - 2)\\
α^{2} + β^{2} = 9 + 2\\
α^{2} + β^{2} = 11\)
60o
120o
180o
30o
Correct answer is A
\( ARC\hspace{1mm}length = (\frac{\theta}{360})\times 2\pi r\\22=\frac{3x}{360}\times \left(2 \times(\frac{22}{7})\times(\frac{7}{1})\right)\\3x = 180\\x = \frac{180}{3}\\x = 60^{\circ}\)