BECE 2002 (April) Mathematics (Maths) Paper 2 Essay
BECE 2002 (APRIL)
MATHEMATICS (MATHS)
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) Simplify
2 ¾ ÷ (3 3/8
– 1 1/12)
(b)
A ribbon of length 3m is to be cut into strips
of length 14cm.
(i)
How many strips of length 14cm were cut?
(ii)
What length of ribbon remained?
(c)
One-fourth of a number is added to one-fifth of
the same number. If the result is 18, find the number.
2.
A trader took a loan of ¢1,800,000.00 at an interest
of 12 ½ per cent per annum. It was agreed that the loan and the interest must
be paid in one year in equal monthly instalments.
(a) Calculate
(i) the
interest on the loan
(ii) the
amount to be paid at the end of the
year; (iii)
the monthly instalment.
(b)
Another trader took a loan at the same rate of
interest and conditions. If she had to pay ¢200,000.00 monthly instalment, find
to the nearest cedi how much loan she took.
3.
A teacher conducted a class test and the
result is displayed in a frequency table below.
Marks
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
Frequency
|
2
|
4
|
2
|
2
|
10
|
5
|
6
|
7
|
2
|
(a) Using
the frequency table, find
(i)
the modal mark for the class
(ii)
the number of candidates who wrote the tes
(iii)
the mean mark for the test.
(b)
If the teacher decides that the pass mark is 4,
what is the probability that a student chosen at random from the class failed
the test?
(c)
Draw a bar chart for the distribution
4.
(a) Three numbers are in the ratio 2:3:4 and
their average is 36.
(i) Calculate
the sum of the three numbers
(ii) Find the greatest number.
(b)
If costs ¢875,000.00 to tile a rectangular floor
measuring 7m by 5m.
How
much does it cost to tile a floor measuring 8m by 4m if the same types of tiles
are used?
(c)
It is estimated that the population of a village
increases by 10 per cent every five years. If the population of the village is
150,000 this year, what would be the estimated population ten years from now?
5.
The above diagram is a plane
figure made up of a rectangle of sides 50cm by 28cm and an equilateral triangle
of height 24.25cm. A circle is cut out of the rectangle as shown. If the circle
touches three sides of the triangle,
Calculate
(a)
the perimeter of the figure
(b)
the area of the remaining portion of the figure.
[Take
Ï€ = 22/7]
Answers and Solutions to BECE 2002 Maths Paper 2 (April)
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