BECE 1991 Mathematics (Maths) Paper 2

  

BECE PAST QUESTIONS AND ANSWERS

BECE 1991 MATHEMATICS (MATHS) PAPER 2

ESSAY

1.    (a) If X = {Prime numbers less than 13} and Y = {odd numbers less than 13}

(i)             List the members of X and Y.

 

(ii)          List the members of {X ∩ Y} and {X U Y}

 

              (b) Three school children share some oranges as follows: Akwasi gets 1/3 of the total, and the remainder is shared between Abena and Jantuah in the ratio 3:2. If Jantuah gets 24 oranges, how many does Akwasi get?

 

     2.        Using a ruler and a pair of compasses only,
           a) construct the triangle XYZ, in which |YZ| = 6cm, angle XYZ = 60° and

              |XZ| = 9cm. Measure |XY|

            b) (i) Construct the mediator of YZ.

 

     (ii) Draw a circle, centre X and radius 5cm. Measure |YA|, where A is the point of intersection of the mediator and the circle in the triangular region XYZ.

       3.        a)

         

 

    b) Given that m = -2 and n = ¾, find the value of

                      (i)  m² (n – 1)         (ii) n² –  3/m

 

               c) Factorize completely 2ap + aq + bq – 2bp

 

4.        (a) The following table shows the distribution of votes in an election for class prefect.

Name	Number of votes
Acquaye	6
Borquaye	12
Commey	18

 

 

 

 

 

(i)   Draw a pie chart to illustrate the distribution.

  (ii) What fraction of the votes was cast for Borquaye?

           (b) The heights in cm of 10 school children are as follows:

165, 165, 155, 159, 174,
154, 169, 155, 155, 150

Make a frequency table for this data

Use your table to find the mode and median of the distribution.