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.
3.5cm
5cm
7cm
9cm
Correct answer is D
From \(V = \frac{1}{3}\pi r^2 h. \hspace{1mm} r =\frac{14}{2}\\
462 = \frac{1}{3} \times \frac{22}{7} \times 7^2 \times h \\
h = \frac{3 \times 462}{22 \times 7}\\ h = 9\)
5cm
7cm
10cm
15cm
Correct answer is C
\(\frac{1}{2}(a+b)\times h = 105cm^2\\
\frac{1}{2}(9+12)\times h = 105\\
h = \frac{105 \times 2}{21} = 10cm\)
Simplify \(\frac{1}{1-x} + \frac{2}{1+x}\)
\(\frac{x+3}{1-x^2}\)
\(\frac{x-3}{1+x^2}\)
\(\frac{3-x}{1-x^2}\)
\(\frac{3-x}{1+x^2}\)
Correct answer is C
\(\frac{1}{1-x} + \frac{2}{1+x}\\
\frac{1+x+2-2x}{(1-x)(1+x)} = (\frac{3-x}{1-x^2})\)
For what values of x is the expression \(\frac{3x-2}{4x^2+9x-9}\) undefined?
\(\frac{-3}{4} \hspace{1mm}or \hspace{1mm}3\)
\(\frac{-2}{3} \hspace{1mm}or \hspace{1mm}-3\)
\(\frac{2}{3} \hspace{1mm}or \hspace{1mm}3\)
\(\frac{3}{4} \hspace{1mm}or \hspace{1mm}-3\)
Correct answer is D
The equation \(\frac{3x - 2}{4x^2 + 9x - 9}\) is undefined when the denominator = 0.
\(4x^2 + 9x - 9 = 0\)
\(4x^2 + 12x - 3x - 9 = 0\)
\(4x(x + 3) - 3(x + 3) = 0\)
\((4x - 3)(x + 3) = 0\)
x = \(\frac{3}{4}\) or x = -3.
In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY = 56o and ∠PXY = 80o.Find angle PQY
34o
13.36o
44o
46o
Correct answer is A
< XYQ = 180° - (80° + 56°)
= 44°
< PYQ = 56° (alternate angles, XP||YQ)
< QPY = 90°
< PQY = 180° - (90° + 56°)
= 34°