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BECE 2009 - MATHEMATICS [PAPER II]
THEORY QUESTIONS
(a)
Simplify:
(b)
A plot of land measures 25 m by 12 m. A portion of this plot measuring 8 m by 8 m is used for the cultivation of vegetables.
Find the area of the plot not cultivated.
(c)
The table below shows the performance of Aisha in her final examination.
| Subject | Score |
| English Language | 54% |
| Mathematics | 36% |
| Ga | 68% |
| Science | 50% |
| Social Studies | 32% |
Draw a pie chart to represent this information.
The table below shows the scores of some students in an examination.
| Scores | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Frequency | 3 | 5 | 3 | 2 | 7 | 6 | 5 | 4 | 2 | 2 | 1 |
From the table, find
(a)
how many students wrote the examination;
(b)
the modal score;
(c)
the number of students that scored 7 or more;
(d)
the mean score correct to one decimal place.
(a)
(i)
Using a scale of 2 cm to 1 unit on both axes, draw two perpendicular axes OX and OY on a graph sheet.
(ii)
Mark on the same graph sheet, the x-axis from -5 to 5 and y-axis from -6 to 6.
(iii)
Plot the points A(2, 5), B(2, 2) and C(4, 2). Join the points A, B and C to form triangle ABC.
(iv)
Using the y as mirror line, draw the image triangle A1B1C1 of the triangle ABC such that A → A1, B → B1 and C → C1. Write down the coordinates of A1, B1 and C1.
(v)
Draw the image triangle A2B2C2 of triangle ABC under anticlockwise rotation of 180° about the origin where A → A2, B → B2 and C → C2. Write down the coordinates of A2, B2 and C2.
(b)
Given that a =
(a)
The ratio of the sheep to goats on a farm is 4 : 7. If there are 1,428 sheep, find how many goats are on the farm.
(b)
Using a ruler and a pair of compasses only, construct a triangle ABC with |AB| = 6cm, |AC| = 8 cm and angle BAC = 30°. Construct the bisector of angle ACB to meet line AB at D.
(i)
Measure |AD| and |BD|.
(ii)
Write down the ratio |AD|:|BD|
(a)
The diagram is a triangle ABC with the side AC produced to D. Find
(i)
the value of x;
(ii)
angle ACB.
(b)
The simple interest formula, I =
(i)
Find the simple interest on GH₵ 3,600.00 at 15% per annum for 2 years.
(ii)
Make R the subject of the simple interest formula.
(iii)
At what rate per annum will GH₵ 6,000.00 earn GH₵ 2,400.00 simple interest in 2 years?
(a)
Given that ₵10,000 = GH₵ 1.00.
Complete the following table relating cedis (x) to Ghana cedis (y).
| ₵(x) | GH₵(y) |
| 10,000 | 1 |
| 50,000 | |
| 150,000 | |
| 250,000 | |
| 350,000 | |
| 450,000 | 45 |
(b)
(i)
On a graph sheet, draw two perpendicular axes 0x and 0y.
(ii)
Using a scale of 2 cm to ₵50,000.00 on the 0x axis and 2 cm to GH₵ 5.00 on the 0y axis, mark 0x axis from 0 to ₵500,000.00 and 0y axis from 0 to GH₵ 50.00.
(c)
Plot the points and join them with a straight line.
(d)
From your graph, find the value of
(i)
GH₵ 8.00 in cedis (₵);
(ii)
GH₵ 35.00 in cedis(₵);
(iii)
₵260,000.00 in Ghana cedis (GH₵).