### BECE Math 1990 – Essay

#### B.E.C.E – 1990

ESSAY TYPE QUESTIONS

##### QUESTION 1

a) List the members of each of the sets

B = {whole numbers from 20 to 30} and D = {factors of 63}

List the members of

i) B ⋂ D

ii) B ⋃ D

i) Illustrate this information on a Venn diagram.

ii) How many students passed in both subjects?

Let n represent the number of students who passed in both subjects.

a) Factorise completely

3a² + 2ab – 12ac – 8bc

Illustrate answer on the number line.

a) Using a ruler and a pair of compasses only;

i) Construct a triangle PQR such that

IPQI = 6 cm, IQRI = 4 cm and angle PQR = 90°

ii) Construct perpendicular bisectors (mediators) of PQ and QR. Name the intersection of the mediators O.

iii) Draw a circle with O as centre and OQ as radius.

i) IPRI

ii) angle QPR

The following is the result of a survey conducted in a class of a Junior Secondary School to find the favourite soft drink of each pupil in the class.

a) Draw a bar chart showing this information, using a scale of 2cm to 1 unit on the vertical axis.