2023 BECE MATHEMATICS ESSAY (MMGCS)
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1. Question
(a)
Given the sets
A = {multiples of 3 less than 12},B = {integers between 4 and 8},
C = {4, 5, 7}
Find:
(b)
Simplify:
2 (a) simplify: 15(4 – 6) x 49 ÷ 7.
(b) Expand and simplify: b(2a – 3) – (a – b)(3 + b)
(c) Akosua walked for 3 hours at the rate of
km per hour from her village to Paamu to take a bus in Quamu. If the bus travelling at 
km per hour takes 2 hours to travel from Paamu to Quamu:
(i) What is the distance from Akosua’s village to Quamu?
(ii) How long would it take a man, riding a bicycle at 5 km per hour, to travel from Akosua’s village to Quamu?-
(a)
(i)Express 8 x 32 x 4 x 2 in the form
(ii)Using your answer in (a)(i), find the value of m.
(b)
(i)Factorize the expression:
(ii) Use your answer in (b)(i) to find the value of the expression when ,
n= 2, k=19 and Q=20.
(c) Gifty and Justina shared an amount of GH¢ 418.00. If Gifty had 20% more than Justina, how much did Justina receive?
4. (a) if 4m – 2(3 + 2m) + m(2m + 4) = 0, find the values of m
(b)
At a political rally, there were 240 women, 260 men, 160 boys and 120 girls.
(i) Draw a pie chart to illustrate the information.
(ii) What percentage of the people at the rally were females?Question 5
Madam Esi used 1/4 and 2/3 of her x acres of land to cultivate mangoes and oranges respectively.
(a) Express, in terms of x, the number of acres of the land she used to cultivate:
(i) mangoes;
(ii) oranges.(b) If Madam Esi used 20 more acres of land to cultivate oranges than mangoes, find the value of x .
(c) How many acres of land was used to cultivate mangoes?
(d) Calculate, correct to the nearest whole number, the percentage of the land that was not used.
Question 6
(a) Using a scale of 2 cm to 2 units on both axes, draw on a graph sheet two perpendicular axes 0x, and 0y, for the interval -10 ≤ x ≤ 10 and -10 ≤ y ≤ 10.
(b) On the same graph sheet, draw:
(i) a quadrilateral ABCD with vertices A(2, 4), B(2, 8), C(8, 8) and D(8. 4) ;(ii) the image A1B1C1 D1 of ABCD under a translation by vector
where
;(iii) the image A2B2C2 D2 of ABCD under a reflection in the y-axis, where
(c) (i) What type of quadrilateral is ABCD?
(ii) Find the gradient of A2B1. -