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BECE 2015 - MATHEMATICS [PAPER II]
SECTION B
(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 Girl's 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)
A farmer uses
If vegetables cover an area of 10 acres, what is the total area of the farmer's land.
(a)
Solve for x, if 2 -
(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.
(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 1
(b)
The perimeter of a square field is the same as that of a rectangular field. If the length of the rectangular field is 8km and the width is 5km, 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).
(a)
Using a ruler and a pair of compasses only, construct triangle PST with angle PST = 30o, |ST| = 9 cm and |PS| = 12 cm.
(b)
With T as center, 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.
(a)
Anita bought 51 tubers of yam at 3 for GH₵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.
[Take π =
(a)
(i)
Copy and complete the following mapping:
| x | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| ↓ | ↓ | ↓ | ↓ | ↓ | ↓ | ↓ | ↓ |
| y | 5 | 7 | 9 | - | - | - | 17 |
(ii)
Determine the rule for the mapping.
(b)
Draw two perpendicular axes 0x and 0y on a graph sheet.
(c)
Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 2 units on the y-axis, mark the x-axis from 0 to 8 and 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.