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BECE 1993 - MATHEMATICS [PAPER II]
THEORY QUESTIONS
(a)
Simplify
(b)
Solve 5(a – 5) –
(c)
If r =
Using a ruler and a pair of compasses only,
(a)
construct a triangle ABC such that |BA| = 10 cm, angle ABC = 90° and angle BAC = 30°. Measure the length BC.
(b)
(i)
Bisect the angle ACB to meet BA at D.
(ii)
What type of triangle is CDA?
(c)
Calculate the area of triangle ABC
Olu bought a radio for ₵65,000.00. After one year the radio was valued at 75% of the cost price.
(a)
What was the price of the radio after one year?
(b)
If he sold the radio for ₵55,700.00, calculate his profit or loss over the cost price.
(a)
Using a scale of 2 cm to 1unit on both axes, draw two perpendicular lines OX and OY on a graph sheet.
(b)
On this graph sheet, mark the x-axis from –5 to 5 and the y-axis from –6 to 6.
(c)
Plot on the same graph sheet the points A(-2, 4) and B(4, -5). Join the points A and B with the help of a ruler.
(d)
Using the graph , find
(i)
the gradient (slope) of the line AB;
(ii)
the value of x, when y = 0;
(iii)
the value of y when x = 2
(e)
Plot on the same graph sheet the points C(-3, -1) and D(3, 3). Join the points C and D. with the help of a protractor, measure the angle between the lines AB and CD. What is the gradient of the line CD?
The ages of 20 school children were recorded as follows:
| 13 | 9 | 15 | 17 | 13 |
| 9 | 11 | 9 | 11 | 15 |
| 17 | 15 | 11 | 9 | 9 |
| 11 | 15 | 11 | 11 | 11 |
(a)
Make a frequency table for the data using the ages of 9, 11, 13, ..........
(b)
Use your table to calculate the mean age (correct to the nearest whole number).