WAEC 2021 · Paper 2 · Q5

(a)

Child's name Ann Afia Kojo Nuno Akosua

Percentage share 5 15 10 45 25

A man shared his property among his children as shown. Represent the information on a pie chart.
Model answer
Each $1\%$ is $3.6^\circ$ of the circle, so the angles are Ann $18^\circ$ , Afia $54^\circ$ , Kojo $36^\circ$ , Nuno $162^\circ$ and Akosua $90^\circ$ (total $360^\circ$ ). Draw each sector with a protractor and label it.
(b)
A box contains 5 red, 3 green and 4 blue identical beads. Calculate the probability that a girl takes away two red beads, one after the other, from the box.

Child's name	Ann	Afia	Kojo	Nuno	Akosua
Percentage share	5	15	10	45	25

Worked solution (try it first)

The whole circle, $360^\circ$ , is $100\%$ , so $1\% = 3.6^\circ$ .
Ann $5 \times 3.6^\circ = 18^\circ$ , Afia $54^\circ$ , Kojo $36^\circ$ , Nuno $162^\circ$ , Akosua $90^\circ$ .
Check: $18 + 54 + 36 + 162 + 90 = 360$ .
Draw the sectors with a protractor and label each with the child's name and angle.

There are $5 + 3 + 4 = 12$ beads.
The first bead is red with probability $\frac{5}{12}$ .
It is taken away, so 11 beads remain, 4 of them red: the second is red with probability $\frac{4}{11}$ .
Both red: $\frac{5}{12} \times \frac{4}{11} = \frac{20}{132}$
$= \frac{5}{33}$ .