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 sets 
        B = {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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