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.
Find the gradient of the line joining the points (3, 2) and (1, 4)
3/2
2/1
-1
3/2
Correct answer is C
Gradient of line joining points (3, 2), (1, 4)
Gradient = \(\frac{\text{Change in Y}}{\text{Change in X}}\)
= \(\frac{y_2 - Y_1}{x_2 - x_1}\)\)
(X1, Y1) = (3, 2)
(X2, Y2) = (1, 4)
Gradient = \(\frac{4 − 2}{1 + 3}\)
= \(\frac{2}{-2}\)
= −1
The operation * on the set R of real number is defined by x * y = 3x + 2y − 1, find 3* − 1
9
- 9
6
- 6
Correct answer is C
x * y is an operation on 3x + 2y − 1
Find 3A − 1
x = 3, y = −1
3 * − 1 on 3x + 2y − 1
3(3) + 2(−1) −1
= 9 − 2 − 1
= 6
Make S the subject of the relation
p = s + \(\frac{sm^2}{nr}\)
s = \(\frac{nrp}{nr + m^2}\)
s = nr + \(\frac{m^2}{mrp}\)
s = \(\frac{nrp}{mr}\) + m2
s = \(\frac{nrp}{nr}\) + m2
Correct answer is A
p = s + \(\frac{sm^2}{nr}\)
p = s + ( 1 + \(\frac{m^2}{nr}\))
p = s (1 + \(\frac{nr + m^2}{nr}\))
nr × p = s (nr + m2)
s = \(\frac{nrp}{nr + m^2}\)
Factorize completely X2+2XY+Y2+3X+3Y-18
(x + y + 6)(x + y -3)
(x - y - 6)(x - y + 3)
(x - y + 6)(x - y - 3)
(x + y - 6)(x + y + 3)
Correct answer is A
\(x^{2} + 2xy + y^{2} + 3x + 3y - 18\)
\(x^{2} + 2xy + 3x + y^{2} + 3y -18\)
\(x^{2} + 2xy - 3x + 6x + y^{2} -3y + 6y -18\)
\(x^{2} + 2xy -3x + y^{2} -3y + 6x + 6y -18\)
\(x^{2} + xy -3x + xy + y^{2} - 3y + 6x + 6y -18\)
x(x + y - 3) + y(x + y - 3) + 6(x + y - 3)
= (x + y - 3)(x + y + 6)
= (x + y + 6)(x + y -3)
10cm
19cm
17cm
12cm
Correct answer is B
Find the diagram
Sin 70°
x = 10 Sin 70°
= 9.3969
Hence, length of chord MN = 2x
= 2 × 9.3969
= 18.79
= 19cm (nearest cm)