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 =36072=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+22=5+32=14+42=30+52=55
55+62=91+72=140.
91, 140 are the next two terms.
lf logqp=r, express p in terms of q and r
p =qr
p =rq
p=rq
p=qr
Correct answer is D
If logqp = r convert from logarithm to indices
P = qr
If xa+1+yb 1. Make y the subject of the relation
b(a−x+1)a+1
a+1b(a−x+1)
a(b−x+1)b+1
ba(b−x+1)
Correct answer is A
If bx+y(a+1)b(a+1)=1bx+ya+y=ba+b;y(a+1)=ba+b−bxy(a+1)=b(a+1−x);y=b(1+a−xa+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