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 remainder when 3x3 + 5x2 - 11x + 4 is divided by x + 3
-4
4
1
-1
Correct answer is C
x = -3
substitute x = -3 in 3x3 + 5x2 - 11x + 4
3(-3)3 + 5(-3)2 - 11(-3) + 4
-81 + 45 + 33 + 4
-81 + 82
= 1
8
3
16
4
Correct answer is A
\(P\times Q=\sqrt{PQ}\\4\times(8\times32)=4\times\sqrt{8\times32}\\=4\times\sqrt{256}\\=4\times16\\=\sqrt{4\times16}\\=\sqrt{64}\\=8\)
27
8
78
48
Correct answer is C
\(a=6, U_4 = 162\\U_4 = ar^{4-1}\\U_4 = ar^3\\162 = 6(r)^3\\r^3 = 27\\r=\sqrt[3]{27}\\r=3\\S_4 = \frac{a(r^{n}-1)}{r-1}\\=\frac{6(3^{3}-1)}{3-1}\\=\frac{6(27-1)}{2}\\=3\times26\\=78\)
What are the integer values of x which satisfy the inequality -1 < 3 -2x \(\leq\) 5?
-1. 0, 1, 2
-2, 1, 0 , -1
0, 1, 2
-1, 0, 1
Correct answer is D
-1 < 3 -2x and 3 - 2x \(\leq\) 5
2x < 3 + 1 and -2x \(\leq\) 5 - 3
2x < 4 and -2x \(\leq\) 2
x < 2 and x \(\geq\) 2/-2 = x \(\geq\) -1
If -1 \(\leq\) x < 2
it implies that x = -1, 0, 1
y is inversely proportional to x and y = 4 when x = 1/2. Find x when y = 10.
2.5
10
1/5
1/10
Correct answer is C
y ∝ 1/x
y = K/x
K = xy
K = (1/2) * 4 ( when y = 4 and x = 1/2)
K = 2
∴y = 2/x
10 = 2/x (when y = 10)
10x = 2
x = 2/10
x = 1/5