BECE 2008 Mathematics (Maths) Paper 2 Essay
BECE PAST QUESTIONS AND ANSWERS
BECE 2008 MATHS
MATHEMATICS
ESSAY (Paper 2)
Answer four questions only from this section All working must be clearly shown.
The use of calculators is not allowed
Marks will not be awarded for correct answers without corresponding working. All questions carry equal marks
1. (a) E and F are subsets of the universal set U such that
U = {natural numbers less than 15},
E = {even numbers between 1 and 15} and
F = {multiples of 4 between 9 and 15}.
(i) List the elements of U, E and F
(ii) Draw a Venn diagram to show the sets U, E and F
(b) In a school, 7/10 of the pupils like Mathematics. Half of those pupils who like Mathematics are girls. If there are 240 pupils altogether in the school, how many girls like Mathematics?
(c) A typist charges 28Gp for the first five sheets and 8Gp for each additional sheet she types. How much will she earn, if she types 36 sheets?
2.
The diagram AEBCD shows the shape of Mr. Awuah's garden, which is made up of a rectangular portion ABCD and a triangular portion AEB.
|AB| = |DC| = 90m, |AD|=|BC|=70m, |AE|=48.5m and |EB|=50m. The height of the triangle is 20m.
(a) Find the
(i) Area of ABCD
(ii) Area of AEB
(iii) Total area of the garden
(iv) Perimeter of the garden.
(b) Find the value of x if (3x-2) / 5 is greater than [(1-4x) / 10] by 5.
3. (a) A traffic survey gave the results shown in the table below.
Vehicle
|
Car
|
Lorry
|
Bus
|
Bicycle
|
Frequency
|
15
|
12
|
8
|
25
|
(i) Represent the information on a pie chart.
(ii) What percentage of the vehicles were lorries?
(b) Akosua was granted a loan of GH¢96.00. The interest rate was 24% per annum.
Calculate the
(i) Interest at the end of the year
(ii) Total amount she had to pay at the end of the year.
(iii) Amount she still owes, if Akosua was able to pay only GH¢60.00 at the end of the year
4. (a) Copy and complete the table of values for the relations
y1 = 2x+5 and y2 = 3-2x for x from -4 to3
x
|
-4
|
-3
|
-2
|
-1
|
0
|
1
|
2
|
3
|
y1=2x+5
|
-3
|
3
|
7
|
11
| ||||
y2=3-2x
|
11
|
9
|
5
|
-3
|
(b) (i) Using a scale of 2cm to 1 unit on the x - axis and 2cm to 2 units on the y-axis, draw two perpendicular axes OX and OY on a graph sheet.
(ii) On the same graph sheet draw the graphs of the relations y1 = 2x+5 and y2 = 3-2x
(c) Find the coordinates of the point where y1 and y2 meet.
5. (a) Using a ruler and a pair of compasses only,
(i) construct triangle ABC with sides |AB|=7cm, |BC|=8cm and |AC|=9cm;
(ii) draw the perpendicular bisectors of the three sides;
(iii) locate the point of the intersection, O, of the perpendicular bisectors;
(iv) With centre O and radius OA, draw a circle to pass through the vertices of the triangle.
(b) Measure and write down the radius of the circle you have drawn in a) (iv) (c) Find the product of (2x – 3) and (x – 1)
6. (a) The marks obtained by 20 pupils in a test were as follows:
4 8 7 6
2 1 7 4
3 7 6 4
7 5 2 7
5 4 8 3
(i) Construct a frequency distribution table for this data (ii) What is the mode of the distribution?
(iii) Calculate the mean mark
(iv) What percentage of the pupils passed, if the pass mark is 6?
(v) What is the probability that a pupil selected at random scored not more than 5 marks?
Answers and Solutions to BECE 2008 Maths Paper 2
Find in the video below the solutions and answers to this maths past question.
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