BECE 2020 Mathematics Paper 2 - The Thesis

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BECE 2020 Mathematics Paper 2

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BECE 2020 Mathematics (Maths) Paper 2

Essay / Theory Questions


1. a) If M = {Prime integers between 1 and 11} and N = {factors of 12}, find:

        (i) M ∪ N

        (ii) M ∩ N


b) Simplify 45 ÷ 3 + 2 x 8 - 12 + 42

c)

diagram of angles x, y, and z.

In the diagram, y and z are angles on a straight line. If x°: z° = 2: 3 and y = 80°, find x.


2.  a)  Simplify: 5(6 - ab) + 2(-7 + 3ab)

    b) The equation of a straight line is given by 3x - 2y - 6 = 0. Find the:

          (i) gradient of the line;

         (ii) y-intercept

    c) Adwoa received a commission of 20% on bread she sold. In one week, Adwoa's commission was             GH₵ 540.00.

(i) How much bread did she sell during that week?

(ii) Find her average daily commission.


3.  a)  Express (13/15 7/10) as a percentage.

     b) Factorize: ay - y - a + 1.

    c)  In a fishing community of 9,400 people, the number of women exceeds the number of men by                 1,500. Find the ratio of men to women in the community.


4. a) Solve: (2x+3)/3 + 2x = 10

     b) Multiply 0.03858 by 0.02, leaving the answer in standard form.

    c) A cylindrical container of height 28 cm and diameter 18 cm is filled with water. The water is then   poured into another container with a rectangular base of length 27 cm and width 11 cm. Calculate the depth of the water in the container. (Take π = 22⁄7)


5. a) If 11y = (18)2-(15)2, find the value of y.

   b) Find the perimeter of a circle with radius 35 cm. (Take π = 22⁄7)

   c) Given that m = (r-s)/2ℼr

           i) make r the subject of the relation

          ii) find the value of r when s = 117, m = 2 and n = -3.


6. a)  Copy and complete the table for the relation y = 12x - 9

x -2 -1 0 1 2 3 4 5

y -9 39

i)  Using a scale of 2 cm to 1 unit on the x - axis to 10 units in the y - axis, draw on a graph sheet two perpendicular axes ox and oy.

    ii)  Using the table, plot all the points of the relation y = 12x - 9 on the graph.

    iii) Draw a straight line through the points.

    iv)  Use the graph to find:

               (α) y when x = 2.5;

               (β) x when y = 10.

b)  List the integers within the interval 7 < x ≤ 14


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