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.
Solve the quadratic inequalities x\(^2\) - 5x + 6 ≥ 0
x ≤ 2, x ≥ 3
x ≤ 3, x ≥ 2
x ≤ -2, x ≥ -3
x ≤-3, x ≥ 2
Correct answer is B
x\(^2\) - 5x + 6 = 0
(X-2)(X-3) = 0
X-2 = 0 implies X = 2
X-3 = 0 implies X = 3
∴ x ≤ 3, x ≥ 2
-4 \(\leq\) x \(\leq\) 7
-7 \(\leq\) x \(\leq\) 4
x \(\geq\) -7
-7 \(\leq\) x \(\leq\) 6
Correct answer is A
4X - 7 \(\leq\) 3X and 3X - 4 \(\leq\) 4X
4X - 3X \(\leq\) 7 and 3X - 4X \(\leq\) 4
X \(\leq\) 7 and -X \(\leq\) 4 = X \(\geq\) -4
Range -4 \(\leq\) x \(\leq\) 7
If p varies inversely as the square of q and p=8 when q=4, find q when p =32
\(\pm\)16
\(\pm\)8
\(\pm\)4
\(\pm\)2
Correct answer is D
p ∝ 1/q
p = k/q
K = q\(^2\)p
= 4\(^2\)(8)
∴p = 128/q
32 = 128/q
q\(^2\) = 128/32
q\(^2\) = 4
q = √4 = \(\pm\) 2
If x - 3 is directly proportional to the square of y and x = 5 when y =2, find x when y = 6.
30
21
16
12
Correct answer is B
(x – 3) ∝ y2
X-3 = Ky2
K = X-3 / y2
= 5-2/22
= 2/4
= 1/2
∴X-3 = 1/2y2
X-3 = 1/2 (6)2
X-3 = 1/2 x 36/1
X-3 = 18
X = 21
Factorize completely; (4x+3y)\(^2\) - (3x-2y)\(^2\)
(x+5y)(7x+y)
(x+5y)(7x-y)
(x-5y)(7x+y)
(x-5y)(7x-y)
Correct answer is A
(4x+3y)\(^2\) - (3x-2y)\(^2\)
Using the differences of two squares:
(4x+3y+3x-2y)(4x+3y-(3x-2y))
(4x+3y+3x-2y)(4x+3y-3x+2y)
(x+5y)(7x+y)