BECE 1998 Mathematics (Maths) Paper 2 Essay
BECE PAST QUESTIONS
BECE 1998 MATHS
MATHEMATICS
ESSAY (Paper 2)
1. (a) Simplify the expression 3x2 + 6xy – 3y2 + 4x2 + 8xy + 2y2
(b) (i) Solve 3x – 9 ≥ 12 (x –3)
(ii) Illustrate your answer on the number line
(c) If P = 7, a = 16, b = 4 and c = 3, evaluate p 2 – (a -b)
C
2. a) Using a ruler and a pair of compasses only,
(i) construct a triangle PQR such that |PQ| = 8cm, angle RPQ = 90° and angle PQR = 30°. Measure |RQ|
(ii) construct the perpendicular bisector (mediator) of RQ. Let it meet RQ at O.
b) With O as centre and radius OP, draw a circle. Measure |OP|.
c) What is the special name for the chord RQ?
3. (a) A man travelled from Bakwa to Pabam. The distance between the two towns is 510km. At Pabam he covered additional 40km on official duties. He returned to Bakwa the next day.
(i) Find the total distance covered by the man
(ii) If the car used one litre of petrol to cover 20km, find the amount of petrol used for the whole journey.
(iii) If a litre of petrol cost ¢522.00, calculate the total cost of petrol used for the whole journey.
(b) A woman sold an article for ¢200,000.00. She made a profit of 25%. Find the cost price of the article
4. (a) The pie chart shows angles representing the number of candidates who applied for admission into four programmes at a senior secondary school. The number of pupils who applied were 1080.
Find:
(i) the angle xo representing the Vocational programme.
(ii) the number of candidates who applied for Business programme.
(iii) correct to the nearest whole number the percentage of the number of applicants who applied for General Programme.
(b) The data below shows the distribution of the masses of pupils in a school. On a graph paper, draw a bar chart for the distribution.
Masses (in kg)
|
19
|
20
|
21
|
22
|
23
|
24
|
Frequency
|
5
|
9
|
19
|
25
|
18
|
4
|
5. (a) Using a scale of 2cm to 2units on both axes, draw two perpendicular axes OX and OY on a graph sheet. On the same graph sheet, mark the x-axis from –8 to 8 and the y-axis from –8 to 8
(i) Plot P(-2, 3) and Q (6, 4). Join PQ
(ii) Draw the image P1Q1 of PQ under an anticlockwise rotation through 90o about the origin, where P→P1 and Q→Q1. Indicate clearly all the co-ordinates.
(iii) Draw the image P2Q2 of PQ under a clockwise rotation through 90o about the origin where
P→P2 and Q→Q2. Indicate clearly all the co-ordinates
(b) The base radius of a closed cylinder is 4 m. The height of the cylinder is 7 m. Calculate its total surface area. [Take π = 22/7]
BECE 1998 Maths Paper 2 Answers
Find in the video below the solutions and answers to this maths past questions.
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