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 next two terms of the sequence 1, 5, 14, 30, 55, ...
61,110
67,116
81,140
91,140
Correct answer is D
\(1 + 2^2 = 5 + 3^2 = 14 + 4^2 = 30 + 5^2 = 55\)
\(55 + 6^2 = 91 + 7^2 = 140\).
91, 140 are the next two terms.
lf \(log_q p= r\), express p in terms of q and r
p =qr
p =rq
\(p = \frac{r}{q}\)
p=qr
Correct answer is D
If \(log_q p\) = r convert from logarithm to indices
P = q\(^r\)
If \(\frac{x}{a+1}+\frac{y}{b}\) 1. Make y the subject of the relation
\(\frac{b(a-x+1)}{a+1}\)
\(\frac{a+1}{b(a-x+1)}\)
\(\frac{a(b-x+1)}{b+1}\)
\(\frac{b}{a(b-x+1)}\)
Correct answer is A
If \(\frac{bx+y(a+1)}{b(a+1)}=1\\
bx + ya + y = ba + b; y(a+1) = ba+b-bx\\
y(a+1)=b(a+1-x); y = \frac{b(1+a-x}{a+1}\)
Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm
1920cm2
592cm2
296cm2
148cm2
Correct answer is C
otal surfaced area of a cupboard = lb + lh + bh
l = length h = height b = base
l = 12cm h = 10cm b = 8cm
T.S.A \(= (12 \times 8 \times 12 \times 10 + 8 \times 10)cm^\\
= (96 + 120 + 80)cm^2 = 296cm^2\)
If \(\left(\frac{1}{4}\right)^{(2-y)} = 1\), find y.
-2
\(-\frac{1}{2}\).
\(\frac{1}{2}\)
2
Correct answer is D
\(2^{-2(2-y)}-x=2^{0}; -4 + 2y = 0\\
2y = 4; y = 2\)