BECE 1999 Mathematics (Maths) Paper 2 Essay
BECE PAST QUESTIONS AND ANSWERS
BECE 1999
MATHEMATICS (MATHS)
ESSAY (Paper 2)
1. (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.
2. (a) Solve the inequality 2x – 1 - x - 2 > 1
4 3
(b) Find the value of the expression 2x – 3y, if x = ⅓ and y = - ½
(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.
3. (a) Using a pair of compasses and a ruler only,
(i) construct triangle ABC such that |AB| = 10cm, angle ABC = 30° and |BC| = 8cm. Measure angle ACB.
(ii) Construct a perpendicular from C to meet line AB at D. Measure |CD|.
(b) Calculate the area of triangle ABC.
4. 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.
5. 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 above table, find
(i) the modal mark;
(ii) how many candidates took the test;
(iii) the mean mark for the test
(c) If 20% of the candidates failed,
(i) how many failed?
(ii) What is the least mark a candidate should score in order to pass?
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Please Watch the Video Below for the Answers and Solutions to the Above Questions (best experienced on Desktop computer)
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