Each interior angle of a regular polygon is 108°. How many sides has it?
5
7
9
14
Correct answer is A
The exterior angle of the polygon = 180 – 108 = 72°. The sum of exterior angle of the regular polygon = 360°
The number of sides \(=\frac{360}{72}=5\)
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 \(= (12 \times 8 \times 12 \times 10 + 8 \times 10)cm^\\
= (96 + 120 + 80)cm^2 = 296cm^2\)