Mathematics Test 2009 Paper 2 Answers
BECE PAST QUESTIONS AND ANSWERS
BECE 2009
MATHEMATICS (MATHS)
ESSAY (Paper 2)
Answer four questions only from this section All working must be clearly shown.
The use of calculators is not allowed
Marks will not be awarded for correct answers without corresponding working. All questions carry equal marks
1. (a) Simplify: (1200 x 1260)/ 800 and write your answer in standard form
(b) A plot of land measures 25m by 12m. A portion of this plot measuring 8m by 8m 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 Mathematics Ga Science Social Studies | 54% 36% 68% 50% 32% |
Draw a pie chart to represent this information
2. 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
3. (a) (i) Using a scale of 2cm 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 a triangle
ABC
(iv) Using the y-axis 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 180o about the origin where A→A2, B→B2 and C→C2. Write down the coordinates of A2, B2 and C2
Evaluate 2a – 3c + b
4. (a) The ratio of 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| = 8cm 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|.
5. (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 = (PTR)/ 100 gives the interest, I on a principal, P invested at a rate, R per annum for time, T years.
(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?
6. (a) Given that ¢10,000.00 = GH¢1.00.
Complete the following table relating cedis (x) to Ghana cedis (y)
| ¢ (x) | 10,000 | 50,000 | 150,000 | 250,000 | 350,000 | 450,000 |
| GH¢(y) | 1 | 45 |
(b) (i) On a graph sheet draw two perpendicular axes OX and OY.
(ii) Using a scale of 2cm to ¢50,000.00 on the Ox axis and 2cm to GH¢5.00 on the Oyo axis. Mark the Ox axis from 0 to ¢450,000 and OY 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¢)
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Mathematics Test 2009 Paper 2 Answers
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