BECE 1992 Mathematics (Maths) Paper 2 Essay

 

BECE PAST QUESTIONS AND ANSWERS

BECE 1992 MATHEMATICS (MATHS) PAPER 2

ESSAY

Attempt four questions only from this section
All working must be clearly shown.
Marks will not be awarded for correct answers without corresponding working.
All questions carry equal.

 

1. (a) Solve5 – 2x > x + 2, where x is a real number.
          Illustrate your result on the number line.

    (b) Find the truth set of the equation: ²/₃ (3y -1) – (y + 2) = ¹/₃

    (c) Factorize completely: mp + np – mt – nt

    (d) Make t the subject of the relation v = u + at

 

2.  A landlady rented out her house for ¢240,000.00 for one year. During the year she paid 15% of the rent as income tax. She also paid 25% of the rent as property tax and spent ¢10,000.00 on repairs.

     Calculate:

      a) The landlady’s total expenses.

      b) The remainder of the rent after the landlady’s expenses.

      c) The percentage of the rent she spent on repairs.

 

3. (a) Using a scale of 2cm to 1 unit on both axes, draw perpendicular lines OX and OY on a graph sheet.

     (b) On this graph sheet, mark the x-axis from –5 to 5 and the y-axis from –6 to 6.

     (c) Plot on the same graph sheet the points A (1,1), B (4,3) and C (2,5). Join the points A, B and C to form a triangle.

               (d)    Using the y-axis as the mirror line, draw the image A1B1C1 of the triangle ABC, such that A→A1, B→B1 and C→C1. Write down the co-ordinates of A1, B1 and C1.

               (e)   Using the x-axis as the mirror line, draw the image A2B2C2 of triangle ABC where A→A2, B→B2 and C→C2.

 

4. The table below gives the frequency distribution of the marks obtained in a class test by a group of 64 pupils.

Marks (out of ten)	Frequency
2	9
3	14
4	13
5	10
6	5
7	8
8	2
9	3

 

(a)   Draw a bar chart for the distribution.

(b)   A pupil is chosen at random from the class. What is the probability that the pupil obtained 7 marks?

 

5. Using a ruler and a pair of compasses only,

          (a) draw |PQ| = 9 cm

         (b) construct a perpendicular to PQ at Q

         (c) construct angle QPS = 60° at the point P on PQ such that |PS| = 6.5cm.

        (d) construct a line parallel to PQ through S. let the perpendicular through Q and the parallel through S, meet at R. Measure |PR|.

 

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