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 sum to infinity to the following series 3 + 2 + 43 + 89 + 1617 + .....
1270
190
18
9
Correct answer is D
3 + 2 + 43 + 89 + 1617 + .....
a = 3
r = 23
s α = a1−r = 31−23
= 313
= 3 x 3
= 9
Find all values of x satisfying the inequality -11 ≤ 4 - 3x ≤ 28
-5 ≤ x v 8
5 ≤ x ≤ 8
-8 ≤ x ≤ 5
-5 < x ≤ 8
Correct answer is C
To solve -11 ≤ 4 - 3x ≤ 28
-11 ≤ 4 - 3x also 4 -3x ≤ 28
15 ≤ -3x ≤ 24 = 15 ≥ 3x - 3x ≥ -24
-5 ≥ x, x ≥ -8
i.e. x ≤ 5
∴ -8 ≤ x ≤ 5
Resolve 3x2+x−2 into partial fractions
1x−1−1x+2
1x+1+1x−2
1x+1−1x−2
1x−2+1x+2
Correct answer is A
3x2+x−2 = 3(x−1)(x+2)
Ax−1 + Bx+2
A(x + 2) + B(x - 1) = 3
when x = 1, 3A = 3 → a = 1
when x = -2, -3B = 3 → B = -1
= 1x−1−1x+2
If x + 1 is a factor of x3 + 3x2 + kx + 4, find the value of k
6
-6
8
-8
Correct answer is A
x + 1 is a factor of x3 + 3x2 + kx + 4
Let f(x) = x3 + 3x2 + kx + 4
∴ f(-1) = (-1)3 + 3(-1)2 + k(-1) + 4 = 0
-1 + 3 - k + 4 = 0
∴ k = 6
14.00
120.00
140.00
160.00
Correct answer is D
Let the amounts invested at 4% and 5% respectively be x and y.
∴x+y=280...(i)
Interest on x = x×4×1100=0.04x
Interest on y = y×5×1100=0.05y
∴0.04x+0.05y=12.80
⟹4x+5y=1280...(ii)
From (i), x=280−y.
Put into (ii), 4(280−y)+5y=1280
1120−4y+5y=1280
1120+y=1280⟹y=1280−1120=N160
∴ N160 was invested at the rate of 5% per annum.