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.
The nth term of the sequence 3/2, 3, 7, 16, 35, 74 ..... is
5 . 2n-2 - n
5 . 2n-2 - (n+1) / 2
3 . 2n-2
3/2 n
Correct answer is A
3/2, 3, 7, 16, 35, 74, ....
Using the method of substitution
When n = 1, 5 . 2n-2 - 1 = 5 . 21-2 - 1
= 5 x 2-1 - 1
= 5 x 1/2 - 1
= 5/2 - 1 = 3/2
When n = 1, 5 . 2n-2 - n
= 5 . 22-2 - 2
= 5 x 20 - 2
= 5 x 1 – 2 = 3
When n = 3, 5 . 2n-2 - n
= 5 . 23-2 - 3
= 5 x 21 - 3
= 5 x 2 – 3
= 10 -3 = 7
When n = 4, 5 . 2n-2 - n
= 5 . 24-2 - 4
= 5 x 22 - 4
= 5 x 4 – 4
= 20 – 4 = 16
When n = 5, 5 . 2n-2 - n
= 5 . 25-2 - 5
= 5 x 23 - 5
= 5 x 8 – 5
= 40 – 5
= 35
When n = 6, 5 . 2n-2 - n
= 5 . 26-2 - 6
= 5 x 24 - 6
= 5 x 16 – 6
= 80 – 6 = 74
∴ 5 . 2n-2 - 1 = 3/2, 3, 7, 16, 35, 74
-7
-9
5
9
Correct answer is B
a*e = a + e + 1 = a
implies e+ 1 = 0
∴ e = -1
7 * e = -1
∴ a + 7 + 1 = -1
a + 8 = -1
a+8 = -1
a = -1-8
a = -9
W ∝ L2 and W = 6 when L = 4. If L = √17 find W
67/8
65/8
63/8
61/8
Correct answer is C
W ∝ L2
W = KL2
K = W/L2
K = 6/42
K = 6/16 = 3/8
W = 3/8 L2
W = 3/8(√17)2
W = 3/8 x 17
W = 51/8 = 63/8
Solve the inequalities -3(x - 2) < -2(x + 3)
x > 12
x < 12
x > -12
x < - 12
Correct answer is A
-3(x-3) < -2(x+3) = -3x + 6 < -2x - 6
-3x + 2x < -6 - 6
-x < - 12
x > -12/-1
x > 12
(2t - 3)(t + 5)
(t + 3)(2t - 5)
(t + 3)(t - 5)
(2t + 3)(t - 5)
Correct answer is B
2t2 + t - 15 = (2t-5)(t+3)