BECE 2009 Mathematics (Maths) Paper 2 Essay

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

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

(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 180^o 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

(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¢)