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.
Divide x3 - 2x2 - 5x + 6 by (x - 1)
x2 - x - 6
x2 - 5x + 6
x2 - 7x + 6
x2 - 5x - 6
Correct answer is A
Step 1: Just multiply each of the options by ( x - 1 )
Step 2: Then collect like terms to derive the same equation found in the question.
Hope this helps!
If a2 + b2 = 16 and 2ab = 7.Find all the possible values of (a - b)
3, -3
2, -2
1, -1
3, -1
Correct answer is A
a2 + b2 = 16 and 2ab = 7
To find all possible values = (a - b)2 + b2 - 2ab
Substituting the given values = (a - b)2
= 16 - 7
= 9
(a - b) = \(\pm\)9
= \(\pm\)3
OR a - b = 3, -3
Factorize 9(x + y)2 - 4(x - y)2
(x + y)(5x + y)
(x + y)2
(x + 5y)(5x + y)
5(x + y)2
Correct answer is C
9(x + y)2 - 4(x - y)2
Using difference of two squares which says
a2 - b2 = (a + b)(a - b) = 9(x + y)2 - 4(x - y)2
= [3(x + y)]2 - [2(x - y)]-2
= [3(x + y) + 2(x - y) + 2(x - y)][3(x + y) - 2(x - y)]
= [3x +3y + 2x - 2y][3x + 3y - 2x + 2y]
= (5x + y)(x + 5y)
If f(x - 4) = x2 + 2x + 3, Find, f(2)
6
11
27
51
Correct answer is D
f(x - 4) = x2 + 2x + 3
To find f(2) = f(x - 4)
= f(2)
x - 4 = 2
x = 6
f(2) = 62 + 2(6) + 3
= 36 + 12 + 3
= 51
If a = 2, b = -2 and c = -\(\frac{1}{2}\), evaluate (ab2 - bc2)(a2c - abc)
2
-28
-30
-34
Correct answer is D
(ab2 - bc2)(a2c - abc)
[2(2)2 - (- 2x\(\frac{1}{2}\))] [22(-\(\frac{1}{2}\)) - 2(-2)(-\(\frac{1}{2}\))]
[8 = \(\frac{1}{2}\)][-2 - 2] = \(\frac{17}{2}\) x 42
= -34