JAMB Mathematics Past Questions & Answers - Page 29

Given that 4, 16, 30, 20, 10, 14 and 26

Adding up = 120

nos $\geq$ 16 are 16 + 30 + 20 + 26 = 92

The requires sum of angles = $\frac{92}{120}$ x $\frac{360^o}{1}$

= 276o

Volume of a cylinder = πr$^2$h

First convert 3m to cm by multiplying by 100

Volume of External cylinder = $π \times 13^2 \times 300$

Volume of Internal cylinder = $π \times 10^2 \times 300$

Hence; Volume of External cylinder - Volume of Internal cylinder

Total volume (v) = $π (169 - 100) \times 300$

V = $π \times 69 \times 300$

V = 20700πcm$^3$

Length of Arc AB = $\frac{\theta}{360}$ 2$\pi$r

= $\frac{48}{360}$ x 2$\frac{22}{7}$ x $\frac{21}{2}$

= $\frac{4 \times 22 \times \times 3}{30}$ $\frac{88}{10}$ = 8.8cm

Perimeter = 8.8 + 2r

= 8.8 + 2(10.5)

= 8.8 + 21

= 29.8cm

PQ$^2$ = (x2 - x1)$^2$  + (y2 - y1)$^2$ 

= 12$^2$  + 5$^2$ 
= 144 + 25
= 169

PQ = √169 = 13

But PQ = diameter = 2r, r = PQ/2 = 6.5 units

use "T" to represent the total profit. The first receives $\frac{1}{3}$ T

remaining, 1 - $\frac{1}{3}$

= $\frac{2}{3}$T

The seconds receives the remaining, which is $\frac{2}{3}$ also

$\frac{2}{3}$ x $\frac{2}{3}$ x $\frac{4}{9}$

The third receives the left over, which is $\frac{2}{3}$T - $\frac{4}{9}$T = ($\frac{6 - 4}{9}$)T

= $\frac{2}{9}$T

The third receives $\frac{2}{9}$T which is equivalent to N12000

If $\frac{2}{9}$T = N12, 000

T = $\frac{12 000}{\frac{2}{9}}$

= N54, 000