BECE 2015 Mathematics (Maths) Paper 2 Essay (First Sitting)
MATHEMATICS
ESSAY (Paper 2) – First Sitting
Answer four questions only.
All questions carry equal marks.
All working must be clearly shown.
Marks will not be awarded for correct answers without corresponding working
2. (a) In a test consisting of 90 questions, Ama answered 75% of the first 40 questions correctly.
If she had to get a score of 80% in the test,
(i) how many questions did she answer correctly out of the first 40 questions?
(ii) how many questions should she answer correctly out of the 90 questions ?
(iii) what percentage of the remaining 50 questions should she answer correctly in order to get the 80%?
(b) Three interior angles of a pentagon are 100°, 120° and 108°. Find the size of each of the remaining two interior angles, if one of them is three times the other.
4. (a) The Value Added Tax (VAT) paid by a man on a deep freezer was GHC 90.00. If VAT was charged at 15%,
(i) what was the price of the deep freezer?
(ii) How much did the man pay including VAT?
(b) The average of the numbers 5, 7, 2, 6, x, (x+1), 7 and 4 is 5. Find the value of x.
5. (a) A cylinder which has a height of 90 cm and diameter 14 cm is closed at both ends. Find:
(i) its total surface area;
(ii) the volume of the cylinder
[Take π = 22/7]
(b) (i) Using a ruler and a pair of compasses only, construct triangle PQR such that
|PQ| = 8cm, angle PQR = 120° and |QR| = 6 cm.
(ii) Measure:
(α) |PR|;
(β) angle QPR
6. The table shows the distribution of grades of candidates in an examination.
Grade
|
1
|
2
|
3
|
4
|
5
|
6
|
Frequency
|
2
|
3
|
6
|
5
|
4
|
10
|
(a) Using a graph sheet, draw a bar chart for the distribution
(b) If all candidates who obtained grades above grade 3 were awarded credit, find the probability that a candidate selected at random obtained credit.
(c.) Calculate, correct to the nearest whole number, the mean grade of the candidates.
Answers and Solutions to BECE 2015 Maths Paper 2 (First Sitting)
Find in the video below the solutions and answers to this past question.
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