BECE 2019 Mathematics (Maths) Paper 2 Essay - The Thesis

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BECE 2019 Mathematics (Maths) Paper 2 Essay

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BECE 2019 Mathematics (Maths) Paper 2

Essay

1. (a) Given that x = {whole numbers from 4 to 13} and y = {multiples of 3 between 2 and 20},
   find X ∩ Y              

    (b) Find the Least Common Multiple (L.C.M) of the following numbers: 3, 5, and 9.

 (c)  If  (p +2q)/p = 7/5 ,

    Find the value of q/p, where p ≠ 0

 

2. (a) Solve (4x+5)/5 + (x-3)/4 = -1  

    (b) The ratio of boys to girls in a school is 12:25. If there are 120 boys.

           (i) how many girls are in the school?

           (ii) what is the total number of boys and girls in the school?

   (c) Simplify: (8x2y3) (3/8xy4)       

 

3. (a) In an examination, 60 candidates passed Integrated Science or Mathematics. If 15 passed  both subjects and 9 more passed Mathematics than Integrated Science, find the:

       (i) number of candidates who passed each subject.

       (ii) probability that a candidate passed exactly one subject.

   (b) Factorize: xy+6x+3y+18.

 

4. (a) Express 250% as a fraction in its lowest term.

   (b) 

question 4b - diagram

Use the diagram to find the value of x.

(c) Simplify: 2 ÷ (15/64  + 6/7)

 

5. (a)

x    1      2       3        4         5

↓    ↓      ↓       ↓        ↓         

y    0      3       6        9        12

(i) The mapping shows the relationship between x and y. using a scale of 2cm to 1unit on the x-axis and 2 cm to 2 units on the y-axis, draw two perpendicular axes 0x and 0y on a graph sheet for 1 ≤ x ≤ 5 and 0 ≤ y ≤ 14; 

          (ii) plot the point for each ordered pair, (x, y).

          (iii) Join the points with a straight line;

           (iv) Using the graph, find the gradient of the line in 5 (a)(iii);

           (v)  Use the graph to find the equation of the line in 5 (a)(iii).

 

6. The marks obtained by students in a class test were

            4 8 7 6 7
            2 1 7 4 7
            3 7 8 4 3

           7 5 2 7 2
           5 4 8 3 2

(a) construct a frequency distribution table for the data.

(b) Find the:
     (i) mode of the distribution;

     (ii) median mark of the test;

     (iii) mean mark.

 

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