BECE 2019 Mathematics (Maths) Paper 2 Essay
BECE Past Questions and Answers
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
(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)
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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