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BECE 2013 - MATHEMATICS [PAPER II]
THEORY QUESTIONS
(a)
Fifty students in a class took an examination in French and Mathematics. If 14 of them passed French only, 23 passed in both French and Mathematics and 5 of them failed in both subjects, find
(i)
the number of students who passed in French
(ii)
the probability of selecting a student who passed in Mathematics
(b)
Solve the inequality 2x −1
(a)
Convert 444five to a base two numeral.
(b)
A man had three GH₵50.00, seven GH₵20.00 and five GH₵10.00 notes in his pocket. If he bought a bicycle for GH₵150.00 and two mobile phones at GH₵80.00 each, how many GH₵20.00 and GH₵10.00 notes did he have left?
(a)
Using a ruler and a pair of compasses only,
(i)
construct a triangle XYZ with length XY = 7 cm, length YZ = 5 cm and angle XYZ = 45o.
(ii)
Measure and write down the length of XZ.
(b)
Given that the circumference of a circle is 44 cm, find
(i)
the radius of the circle;
(ii)
the area of the circle.
[Take π =
The table shows the distribution of marks of students in a class test.
| Mark | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 5 | 6 | 5 | 3 | 4 | 2 |
(a)
Using a graph sheet, draw a bar chart for the distribution.
(b)
Calculate the mean mark of the distribution correct to the nearest whole number.
(a)
Simplify 6
(b)
Copy and complete the magic square so that the sum of numbers in each row or column or diagonal is 18.
| 4 | ||
| 7 | 8 |
(c)
Find the sum of all the factors of 24.
(d)
Given that m =
Find m + n + r.
(a)
Copy and complete the table for the relation y = 2x + 5.
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 |
| y | -1 | 1 | 5 | 13 |
(b)
(i)
Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes 0x and 0y on a graph sheet.
(ii)
Mark the x-axis from -6 to 10 and y-axis from -6 to 14.
(iii)
Using the table, plot all the points of the relation y = 2x + 5 on the graph.
(iv)
Draw a straight line through the points.
(c)
Use the graph to find
(i)
y when x = 1.6
(ii)
x when y = 10
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