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BECE 1999 - MATHEMATICS [PAPER II]
THEORY QUESTIONS
(a)
Kofi and Kojo were given ₵38,000.00 to share. Kojo had ₵7,500.00 more than Kofi. Find
(i)
Kofi's share
(ii)
Kojo's share
(b)
A trader paid ₵1500.00 for 6 drinking cups. One of the cups got broken. He sold the remaining 5, making a profit of 10%.
Calculate
(i)
the cost price of each of the six cups;
(ii)
the selling price of each of the five cups;
(iii)
the profit made on each cup sold.
(a)
Solve the inequality
(b)
Find the value of the expression 2x - 3y if x =
(c)
25 students in a class took an examination in Mathematics and Science. 17 of them passed in Science and 8 passed in both Mathematics and Science. 3 students did not pass in any of the subjects.
Find
(i)
how many passed in Mathematics;
(ii)
the probability of meeting a student who passed in one subject only.
(a)
Using a pair of compasses and a ruler only,
(i)
construct triangle ABC such that |AB| = 10 cm, angle ABC = 30° and |BC| = 8 cm. Measure angle ACB.
(ii)
construct a perpendicular from C to meet line AB at D. Measure |CD|.
(b)
Calculate the area of triangle ABC.
(a)
(i)
Using a scale of 2cm to 2 units on both axes, draw two perpendicular axes OX and OY on a graph sheet.
(ii)
On the same graph sheet, mark the x-axis from –10 to 10 and the y-axes from –12 to 12.
(iii)
Plot the points A(0, 10), B(-6, -2), C(4, 3) and D(-3,-11).
Use a ruler to join the point A to B and also point C to D.
(b)
(i)
Draw the line x = -2 to meet AB at P and CD at Q.
(ii)
Use a protractor to measure angles BPQ and PQC.
(iii)
What is the common name given to angles BPQ and PQC?
(iv)
State the relationship between lines AB and CD.
The table below shows the marks scored out of 10 by some candidates in a test.
| Mark | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Number of candidates | 2 | 3 | 5 | 7 | 8 | 13 | 7 | 5 |
(a)
From the table, find
(i)
the modal mark;
(ii)
how many candidates took the test;
(iii)
the mean mark for the test.
(b)
If 20% of the candidates failed,
(i)
how many failed?
(ii)
What is the least mark a candidate should score in order to pass?