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BECE 2005 - MATHEMATICS [PAPER II]
THEORY QUESTIONS
(a)
A boy has enough money to buy 14 pencils at ₵450.00 each. How many erasers costing ₵300.00 each can he buy with the same amount of money?
(b)
A circle has a circumference of 44cm. Calculate its radius if π =
(c)
Simplify (2
(d)
If
(a)
Copy and complete the table below for the relation: x + y = 180
| x | 0 | 30 | 60 | 90 | 120 | 150 | 180 |
| y | 180 | 90 | 0 |
(b)
(i)
Using a scale of 2 cm to 20 units on both axes, draw two perpendicular axes OX and OY.
(ii)
Mark both axes from 0 to 180.
(iii)
Plot all the seven points. Use a ruler to join all the points.
(c)
Using your graph, find
(i)
y when x = 100;
(ii)
x when y = 70.
(a)
There are 30 boys in a sporting club. 20 of them play hockey and 15 play volley-ball. Each boy plays at least one of the two games.
(i)
Illustrate the information on a Venn diagram
(ii)
How many boys play volleyball only?
(b)
Factorize xy + 3x + 6y + 18
(c)
Multiply (3 + x) by (5 – 2x)
A woman borrowed ₵2,000,000.00 from a bank at a rate of 15% per annum simple interest for 2 years.
(a)
Find
(i)
the interest for the 2 years;
(ii)
how much she paid in all to the bank after the 2 years.
(b)
She used the ₵2,000,000.00 to purchase a fridge and sold it at a profit of 45%. Find the selling price of the fridge.
(c)
If she used the amount raised from the sale of the fridge to pay for the bank loan and interest, find how much money is left.
(a)
Using a pair of compasses and ruler only, construct
(i)
triangle ABC with │AB│ = 10cm, angle ABC = 30° and angle CAB = 60° ;
(ii)
a perpendicular from the point C to meet the line AB at P.
(b)
(i)
Extend line CP to the point D such that │BC│ = │BD│.
(ii)
Join A to D and B to D.
(iii)
Measure │AC│ and │AD│.
(c)
What type of quadrilateral is ADBC?
The following marks were obtained by pupils in a test.
| 6 | 4 | 8 | 2 | 8 |
| 6 | 8 | 8 | 8 | 10 |
| 8 | 9 | 8 | 6 | 10 |
| 2 | 2 | 6 | 6 | 6 |
(a)
Construct a frequency distribution table for the data.
(b)
What is the modal mark?
(c)
Calculate the mean mark.
(d)
How many pupils scored more than 6 marks?
(e)
What is the probability that a student chosen at random obtained 2 marks?