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.
If 2x + 3y = 1 and x - 2y = 11, find (x + y)
5
-3
8
2
-2
Correct answer is D
2x + 3y = 1 x 2.......(i) x - 2y = 11 x 3.......(ii) 4x + 6y = 2........(iii) 3x - 6Y = 33........(4) 7x = 35 x = 5 Subt. for x 10 + 3y = 1 3y = -9 y = -3 x + y = 5 + -3 5 - 3 = 2
-1 < x < x < 0
-3 < x < 3
0 \(\leq\) x < 18
15 < x < 18
Correct answer is C
Total distance covered by Musa in 2 hrs
= x + 10 + 5x
= 6x + 10
Ngozi = 118 km
If they are equal, 6x + 10 = 118
but 6x + 10 < 118
6x < 108
= x < 18
0 < x < 18 = 0 \(\leq\) x < 18
-1 < x < 0 and 0 < x < 1
-2 < x < -1 and 0 < x < 1
-2 < x < -1 and -1 < x < 0
0 < x < 1
Correct answer is B
If the graph of y = x3 - 3x + 1 is plotted,the graph crosses the x-axis in the ranges -2 < x < -1 and 0 < x < 1
(5, 6)
(8, 8)
(8, 5)
(7,7)
(7, 5)
Correct answer is E
When y = 5, y = x2 - 12x + 40, becomes
x2 - 12x + 40 = 5
x2 - 12x + 40 - 5 = 0
x2 + 12x + 35 = 0
x2 - 7x - 5x + 35 = 0
x(x - 7) - 5(x - 7) = 0
= (x - 5)(x - 7)
x = 5 or 7
2(x + 3)(3x - 2)
6(x - 2)(x + 1)
2(x - 3)(3x + 2)
6(x + 2)(x - 1)
(3x - 4)(2x + 3)
Correct answer is C
6x2 - 14x - 12 = 6x2 - 18x + 4x - 12
(3x + 2)(2x - 6)
= 3x(2x - 6) + 2(2x - 6)
= (3x + 2) 2(x - 3)