BECE 2017 Mathematics (Maths) Essay - Paper 2
BECE 2017 MATHS
MATHEMATICS ESSAY (PAPER 2)
Answer four questions only
All working must be clearly shown. Marks will not be awarded for correct answers without corresponding working.
1. (a) In a class of 30 girls, 17 play football, 12 play hockey and 4 play both games.
(i) Draw a Venn diagram to illustrate the given information.
(ii) How many girls play:
- One or two of the games;
- None of the two games?
(b)
In the diagram, ABCD is a circle of radius 14cm and center O. Line BO is perpendicular to line AC. Calculate the total area of the portions labelled X and Y. [Take π = 22/7]
In the diagram, ABCD is a circle of radius 14cm and center O. Line BO is perpendicular to line AC. Calculate the total area of the portions labelled X and Y. [Take π = 22/7]
2. (a) Two consecutive odd numbers are such that seven times the smaller, subtracted from nine times the bigger, gives 144. Find the two numbers.
(b) A paint manufacturing company has a machine which fills 24 tins with paint in 5 minutes
(i) How many tins will the machine fill in
- 1 minute, correct to the nearest whole number?
- 1 hour?
(ii) How many hours will it take to fill 1440 tins?
(c) Given that s = n/2 [2a + (n-1) d], a =3, d=4 and n=10, find the value of s
3. (a) Using a ruler and a pair of compasses only, construct:
(i) A triangle ABC with [BC] = 9cm, [AC] = 8cm and [ab} = 6cm
(ii) the perpendicular bisector of line BC
(iii) the bisector of angle ACB
(b) Label the point of intersection of the two bisectors as Y.
(c) Draw a line to join B and Y
(d) Measure:
(i) [BY]:
(ii) [YC]:
(iii) the base angles of triangle BYC
(e) What type of triangle is BYC?
4. (a) The table below shows the ages of students admitted in a hospital
Age (years)
|
10
|
11
|
12
|
13
|
14
|
15
|
Number of Students
|
5
|
1
|
7
|
10
|
3
|
4
|
Use the information answer the following questions:
(i) What is the modal age?
(ii) Calculate, correct to two decimal places, the mean age of the students
b. Rice is sold at GH₵56.00 per bag of 50kg. A trader bought some bags of rice and paid GH₵1,334.00
(i) How many bags of rice did the trader buy?
(ii) If the trader retailed the bags of rice at GH₵1.40 per kg. How much profit was made on 1 kg of rice?
5. (a) Using a scale of 2cm to 1 unit on both axes, draw on a graph sheet two perpendicular axes Ox and Oy for -5 ≤ x ≤5 and -5 ≤ y ≤ 5.
(i) Plot, indicating the coordinates of all points A (2,3) and B (-3,4). Draw a straight line passing through the points A and B
(ii) Plot on the same graph sheet, indicating the coordinates of the points C (4,2) and D (-2,3). Draw a straight line passing through the points to meet line AB.
b. Using the graphs in 5 (a):
(i) find the values of y when x = -2;
(ii) measure the angle between the lines AB and CD
6. (a) if m = (2x-1), n = (6/-8) and m+n = (9/-12), find the:
(2-3y)
(i) Values of x and y:
(ii) Components of m
b. (i) Solve the inequality: ¾ (x+1) + 1 ≤ ½ (x-2) + 5
(ii) Illustrate the answer in b (i) on a number line
c.
In the diagram, AB is parallel to CD. Find the value of:
In the diagram, AB is parallel to CD. Find the value of:
(i) x
(ii) y
Please find in the video below the answers to this past question
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