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BECE 2023 - MATHEMATICS [PAPER II]
THEORY QUESTIONS
(a)
Given the sets A = {multiples of 3 less than 12}, B = {integers between 4 and 8} and C = {4,5,7}, find:
(i)
A∩B;
(ii)
(A∪B)∩C;
(ii)
(A∩B)∪C;
(b)
Simplify: 1
(a)
Simplify: 15(4-6) x 49 ÷ 7.
(b)
Expand and simplify: b(12a - 3)-(a - b)(3 + b).
(c)
Akosua walked for 3 hours at the rate of 1
(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 2m.
(ii)
Using your answer in (a)(i), state the value of m.
(b)
(i)
Factorize the expression πn2k -
(ii)
Use your answer in (b)(i) to find the value of the expression when π =
(c)
Gifty and Justina shared an amount of GH₵ 418.00. If Gifty had 20% more than Justina, how much did Justina receive?
(a)
If 4m - 2(3 + 2m) + m(2m + 4) = 0, find the values of m.
(b)
At a political rally, there were 240 women, 200 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?
Madam Esi used
(a)
Express, in term 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.
(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 A1B1C1D1 of ABCD under a translation by vector
(iii)
the image A2B2C2D2 of ABCD under a reflection in the y-axis, where A → A2, B → B2, C → C2 and D → D2.
(c)
(i)
What type of quadrilateral is ABCD?
(ii)
Find the gradient of A2B1.