BECE 1990 Mathematics Paper 2 Essay
BECE Past Questions and Answers
BECE 1990 Mathematics
Section B - Maths Paper 2
1. List the members of each of the setsB = {Whole numbers from 20 to 30}
(a) 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?
2. (a) Factorize completetly
3a2 +2ab -12ac -8bc
(b) Solve x/4 +3/5 - 3x/5 -2
(c) Find the solution set of x+3 > 19 -3x, where x is real number.
Illustrate your answer on the number line.
3. (a) Using a ruler and a pair of compasses only
(i) Construct triangle PQR such that |PQ| = 6cm, |QR| = 4cm and
angle PQR = 90º.
(ii) Construct the perpendicular bisectors of PQ and RQ. Name the intersection O.
(iii) Draw a circle O as centre and OQ as radius.
(b) Measure (i) |PR| (ii) angle QPR
4. 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
|
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 2cm 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?
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