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BECE 1990 - MATHEMATICS [PAPER II]
THEORY QUESTIONS
(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 U D
(b)
In a class of 60 students, 46 passed Mathematics and 42 passed English language. Everybody passed at least one of the two subjects.
(i)
Illustrate this information on a Venn diagram.
(ii)
How many students passed in both subjects?
(a)
Factorize completely 3a2 + 2ab – 12ac – 8bc
(b)
Solve
(c)
Find the solution set of x + 3 > 19 – 3x, where x is a real number.
Illustrate your answer on the number line.
(a)
Using a ruler and a pair of compasses only,
(i)
Construct triangle PQR such that |PQ| = 6cm, |QR| = 4cm and angle PQR = 90°
(ii)
Construct the perpendicular bisectors of PQ and QR. Name the intersection O.
(iii)
Draw a circle O as centre and OQ as radius
(b)
Measure
(i)
|PR|
(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.
| Soft Drink | Number of pupils preferring soft drink |
| Coca-cola | 6 |
| Pepsi-cola | 5 |
| Pee-cola | 8 |
| Fanta | 3 |
| Muscatella | 5 |
| Mirinda | 4 |
| Club-cola | 6 |
| Sprite | 3 |
(a)
Draw a bar chart showing this information, using a scale of 2 cm to 1 unit on the vertical axis.
(b)
How many pupils are in the class?
(c)
What is the percentage of pupils who prefer Club-cola?