BECE 2015 Mathematics (Maths) Paper 2 Essay (Second Sitting)
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BECE 2015 MATHS
MATHEMATICS
ESSAY (Paper 2) – Second 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
1. (a) In a class of 70 students, 40 belong to the Red Cross Society, 27 belong to the Girls' Guide
Society and 12 belong to both the Red Cross Society and the Girls' Guide Society. The remaining students do not belong to any of the two societies.
(i) Illustrate the information on a Venn diagram
(ii) How many students belong to the Red Cross Society only?
(iii) How many students do not belong to any of the two societies?
(b) At a rally attended by 520 people, 30% were Fantes, 25% Ewes, 15% Nzemas, 20% Gas and the rest Gonjas
(i) How many Gonjas were at the rally?
(ii) How many more Fantes than Nzemas were at the rally?
(iii) Draw a pie chart to illustrate the information.
3. (a) Mr. Mensah's farm is 20 km from his house. He uses his car to travel y km of the distance from his house and then walks hours at the rate of 3 km per hour to get to his farm. Find y.
(b) The perimeter of a square field is the same as that of a rectangular field. If the length of the rectangular field is 8 km and the width is 5 km, calculate the area of the square field.
(c) Find the gradient of the line which passes through the points. M (2, -1) and K (-3, 6)
4. (a) Using a ruler and a pair of compasses only, construct triangle PST with angle PST = 30°, |ST| =
9 cm and |PS| = 12 cm
(b) With T as centre, draw a circle of radius 6 cm
(c) Construct the perpendicular bisector (mediator) of line PS.
(d) Label the intersections of the circle and the mediator Q1 and Q2.
(e) (i) Measure |Q1Q2|
(ii) Measure angle Q1TQ2
5. (a) Anita bought 51 tubers of yam at 3 for GHC 10.00. If she sold them and made a loss of 40%, how much did she sell each tuber of yam?
(b) The volume of a cylinder closed at one end is 1056 cm3. If its height is 21 cm, find its
(i) diameter
(ii) total surface area.
(ii) Determine the rule for the mapping
(b) Draw two perpendicular axes Ox and Oy on a graph sheet.
(c) Using a scale of 2cm to 1 unit on the x-axis and 2cm to 2 units on the y-axis, mark the x-axis from 0 to 8 and the y-axis from 0 to 20.
(d) Plot the point for each ordered pair (x, y) and join them with a straight line.
(e) Find:
(i) y, when x is 0;
(ii) x, when y is 14
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