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BECE 2002 - MATHEMATICS [PAPER II] A
THEORY QUESTIONS
(a)
Simplify 2
(b)
A ribbon of length 3 m is to be cut into strips of length 14 cm.
(i)
How many strips of length 14 cm 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.
A trader took a loan of ₵1,800,000.00 at an interest of 12
(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.
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 test
(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.
(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 percent every five years. If the population of the village is 150,000 this year, what would be the estimated population ten years from now?
The diagram above is a plane figure made up of a rectangle of sides 50 cm by 28 cm and an equilateral triangle of height 24.25 cm. 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 π =