BECE 1994 Mathematics (Maths) Paper 2 Essay - The Thesis

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BECE 1994 Mathematics (Maths) Paper 2 Essay

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BECE PAST QUESTIONS

BECE 1994 Mathematics Paper 2

Essay

  1. (a) Multiply (a – b) by (2b – a)

(b) Find the truth set of 2x – 6 ≤ 5 (3 – x).
         Illustrate your answer on a number line.

Question 1b

 

  1. (a) A ladder leans against a wall. The end of the ladder touches the wall 12m from the ground. The foot of the ladder is 9m away from the foot of the wall.

(i) What is the length of the ladder?
(ii) Calculate the angle that the ladder makes with the wall.
(b) Given that p = 3.14 and g = 20. Find the value of F in the relation F = ¾ πg2

 

  1. Using a ruler and a pair of compasses only,
    a) construct triangle PQR in which |PQ| = 8cm, angle QPR = 45° and angle PQR = 90°. Measure |QR|
    b) construct the mediator of line PQ to meet line PR at the point S.
    c) With S as the centre and radius 3cm, construct a circle.

 

  1. Using a scale of 2cm to 1unit on both axes, draw two perpendicular lines OX and OY on a graph sheet. Mark the x-axis from –5 to 5 and the y-axis from –6 to 6. Mark the origin O. Draw on the same graph sheet, indicating in each case, the co-ordinates of all the vertices,
    (i) The square ABCD where A(1,2), B(4, 2), C(4,5) and D(1,5)

(ii)  Using the y-axis as a mirror line draw the image A1B1C1D1 of square ABCD where A→A1, B→B1, C→C1 and D→D1     

(iii) Draw an enlargement A2B2C2D2 of the square ABCD with scale factor –1 from O, such that A→A2, B→B2, C→C2 and D→D2

(iii) Draw an enlargement A2B2C2D2 of the square ABCD with scale factor –1 from O, such that A→A2, B→B2, C→C2 and D→D2.
(iv) What single transformation maps A2B2C2D2 onto the square A1B1C1D1 ?

  1. The following table gives the distribution of sales of soft drinks sold by the Akrokyere JSS canteen in one week.

Soft Drink

Number of bottles sold

Fanta

13

Pepsi

21

Mirinda

14

Coca-cola

17

Sprite

7

 

                                Draw a pie chart to illustrate the sales.          

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