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.
Use the graph of y = 3x\(^2\) + x - 7 above to answer the question What is the minimum value of y?
-10
-7
-4
-1
2
Correct answer is B
No explanation has been provided for this answer.
-2
-1
1/2
1
31/2
Correct answer is D
x + y = \(\frac{3}{2}\) ... (i)
x - y = \(\frac{5}{2}\) ... (ii)
(i) - (ii):
2y = \(\frac{-2}{2}\) = -1
y = \(-\frac{1}{2}\)
x + y = \(\frac{3}{2}\)
x - \(\frac{1}{2}\) = \(\frac{3}{2}\)
x = \(\frac{3}{2} + \frac{1}{2}\)
= \(\frac{4}{2}\)
x = 2
\(\therefore\) 2y + x = 2(\(-\frac{1}{2}\)) + 2
= -1 + 2 = 1.
Solve the equation (x +2)(x - 7) = 0
x = 1 or 8
x = -2 or 7
x = -4 or 5
x = -3 or 6
x= -5 or -2
Correct answer is B
(x + 2)(x - 7) = 0 x + 2 = 0 ⟹ x = -2 x - 7 = 0 ⟹ x = 7 x = -2 or 7
Solve the equation 3x\(^2\) + 25x -18 = 0
-3,2
-2,3
-2,9
-9,2/3
2/3, 9.
Correct answer is D
3x\(^2\) + 25x - 18 = 0
3x\(^2\) + 27x - 2x - 18 = 0
3x(x + 9) - 2(x + 9) = 0
(3x - 2)(x + 9) = 0
x = \(\frac{2}{3}\) or x = -9.
If \(y \propto \frac{1}{x^2}\) and x = 3 when y = 4, find y when x = 2.
1
3
9
18
21
Correct answer is C
\(y \propto \frac{1}{x^2}\)
\(y = \frac{k}{x^2}\)
\(4 = \frac{k}{3^2}\)
\(k = 4 \times 3^2 = 36\)
\(y = \frac{36}{x^2}\)
When x = 2,
\(y = \frac{36}{2^2} = 9\)