BECE JHS Mathematics 2009 Past Questions

Given that A = {1,2,3,4,5,6} and B = {3,6,9,12}, find A∪B

(a) Simplify: 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.

*insert image*

Draw a pie chart to represent this information

Write 2340000 in standard form.

The table below shows the scores of some students in an examination.

*insert image*

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

How many faces has a cuboid?

(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

(b) Given that
Evaluate 2a – 3c + b

Subtract 125.47 from 203.90

(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|.

Simplify (5m+3n) – (2m-n)

(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 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?

Which of the following sets is equal to {1,2,3,4} ?

(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¢)

In a town of 42,800 inhabitants, 48% are male. The rest are female. How many more females are there than males?

What set does the following graph represent?

```The pie chart below shows the performance of Kate in her final examination.
Use the diagram to answer Questions 9 and 10
```
What is the angle for French?

```The pie chart below shows the performance of Kate in her final examination.
Use the diagram to answer Questions 9 and 10
```
If Kate scored 60% in Social Studies, what was her score in Economics?

A teacher is to be chosen at random from a group of 6 male and 2 female teachers for a patron of a Mathematics Club. What is the probability that a female teacher is chosen?

Solve the equation 2x – 3(x-1) = 6

If m = 3 and n = -3, evaluate ½(3m-n)

Which of the following sets of angles form the interior angles of a right angled triangle?

State the rule for the mapping

A rectangle has an area of 36cm² and a width of 3cm. Find its perimeter.

Find the value of 4 + x⁰

A van travels 154km in 1¾hours. Find its speed in km/h.

In the figure below, PQ and RS are straight lines. Find the value of the angle marked wo.

If x + 5 = -7, find the value of x/6

```In the diagram below, rectangle OABC is enlarged into rectangle OA1B1C1 from centre O.


|OC|=5cm, |OA|=2cm and |AA1| = 1cm

Use the diagram to answer Questions 21 and 22```
Find the scale factor of the enlargement.

```In the diagram below, rectangle OABC is enlarged into rectangle OA1B1C1 from centre O.


|OC|=5cm, |OA|=2cm and |AA1| = 1cm

Use the diagram to answer Questions 21 and 22```
Calculate OC1

The height of a flag pole in a scale drawing is 5cm. If the scale is 1cm to 3m, what is the actual height of the pole?

Factorize: ax + 3x + a + 3

If y = , find the value of y when x = 2

Find the greatest common factor (GCF) of 90, 126 and 72.

Given that 1 : 3 = x : 21, find the value of x.

Find the difference between 432<sub>5</sub> and 143<sub>5</sub>

Simplify: ${14{1/3}}-{2{2/8}}+{5{7/12}}$

Nine bottles of equal capacity hold 4½ litres of water. How much do x bottles hold?

A sales girl receives a 5% commission on all she sells. Find how much she has to sell to receive GH¢15.00

Arrange the following fractions in ascending order: 7/12 , 3/5, 7/15, 3/4

Add 2.5 to the product of 4.2 and 0.2

What is the value of four in the number 7073.48?

```The table below shows the ages of children at a birthday party.
${\table Age(Yrs),1,2,3,4,5,6,7,8,9,10;NoOfChildren,3,4,2,5,4,4,6,4,2,1}$
Use this table to answer Questions 35, 36 and 37```
What is the modal age?

```The table below shows the ages of children at a birthday party.
${\table Age(Yrs),1,2,3,4,5,6,7,8,9,10;NoOfChildren,3,4,2,5,4,4,6,4,2,1}$
Use this table to answer Questions 35, 36 and 37```
A child is selected at random. What is the probability that he or she is 4 years old?

```The table below shows the ages of children at a birthday party.
${\table Age(Yrs),1,2,3,4,5,6,7,8,9,10;NoOfChildren,3,4,2,5,4,4,6,4,2,1}$
Use this table to answer Questions 35, 36 and 37```
How many children are 7 or more years old?

Write the vector using Cartesian components.

Simplify: 5 – 7 + 2(3 – 8)

if
r = $(\table -10;-9)$ and n = $(\table 8;-6)$ find n+r