BECE JHS Mathematics 2012 Past Questions

If P = {2, 3, 5, 7}and Q = {2, 4, 6, 8}, find P∩Q

(a) Evaluate ${0.035×1.02}/{0.00015}$ , leaving the answer in standard form.

(b) An amount of GH¢4,200.00 was shared between Aba and Kwame. If Aba had 5/7 of the amount,
(i) how much did Kwame receive?
(ii) what percentage of Aba’s share did Kwame receive?

(c) Find the value of x in the diagram below.
*insert image*

Which of the following numbers is an integer?

(a) A car consumes a gallon of petrol for every 30 km drive. The driver of the car set out on a journey of 420 km with 10 gallons of petrol in the fuel tank.
(i) How many more gallons of petrol will be needed to complete the journey?
(ii) Find the cost of the petrol used for the journey of 420 km if a gallon of petrol costs GH¢5.50

(b) The average number of spectators at a football competition for the first five days was 3,144. The attendance on the sixth day was 3,990. Find the
(i) The total attendance on the first five days
(i) The average attendance for the 6 days

(c) The area enclosed by a square garden is 121m². What is the distance around the garden?

Find the Lowest Common Multiple (LCM) of 2² × 3 × 5² and 2³ × 3² × 53

(a) The table below shows the number of students who scored more than 80% in the listed subjects
(i) Draw a pie chart for the distribution
(ii) What is the probability that a student chosen at random from the distribution offers Chemistry?

(b) A woman bought 210 oranges for GH¢7.50. She sold all of them at 3 for 15 Gp. Find the
(i) total selling price of the oranges
(ii) percentage profit

How many diagonals are in a rectangle?

The marks scored by some students in a Mathematics test are as follows:

$\table 3,3,5,6,3,4,7,8,3,4;5,4,7,4,3,7,4,6,4,8;4,5,6,3,8,4,5,6,4,5;$

(a) Construct a frequency distribution table for the scores.

(b) Using the table, find for the distribution, the
(i) mode;
(ii) mean, correct to one decimal place
(iii) median

Simplify – 4 (3 – 5) + 10 – 3 (7 + 4) + 30

(a) (i) Find the least Common Multiple (L.C.M.) of 9, 18 and 16.
(ii) Arrange 8/9, 7/18 and 10/16 in ascending order of magnitude

(b) Using a ruler and a pair of compasses only,
(i) construct a triangle PQR with length PQ = 10 cm, angles QPR = 45° and PQR = 60°.
(ii) Construct the perpendicular bisectors of PR and RQ to meet at T.
(iii) Measure the length of TP.

An iron rod 15 m long is divided into 12 equal parts. How long is each part?

(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 P(4, 2), Q(2, 5) and R(2, 2). Join the points P, Q, R to form a triangle PQR
(iv) Using the x-axis as a mirror line, draw the image P1Q1R1 of the triangle PQR such that P→P1, Q→Q1, R→R1
(v) Write down the coordinates of P1, Q1 and R1.
(vi) Translate triangle PQR by the vector *insert image* such that P→P2, Q→Q2, R→R2
(vii) Label the vertices of triangle P2Q2R2

Convert 42 to a base two numeral.

Simplify ${5^7 × 5^4}/{5^2}$

A tank contains 400 litres of water. If 100 litres is used, what percentage is left?

Triangle ABC is a right-angled triangle. Find the length of AC.

Arrange the following fractions in descending order of magnitude: 2/3, 5/7, 2/5, 1/2.

Find the image of 3 under the mapping, x → 10 – 2x

Simplify 1/3 + 1/9} + 1/27

If 2x = 5(x – 2) + 7, find the value of x

```The table below shows the day and night temperatures of a town during a week.
Use it to answer Questions 15 and 16
```
Find, correct to one decimal place, the average day temperature for the week

```The table below shows the day and night temperatures of a town during a week.
Use it to answer Questions 15 and 16
```
On which day was the change in temperature the least?

A box contains 30 identical balls of which 16 are white and the rest yellow. If a girl picks a ball at random from the box, what is the probability that it is a yellow ball?

Find the truth set of ¼(x + 3) ≤ 2x - 1

The perimeter of the figure below is 71cm. Find the diameter of the semi-circular portion.
[Take = π]

Simplify ${{3x}/4}-{{x-y}/3}$

Kojo is 20% heavier than Afua. If Kojo weighs 6kg, what is Afua’s weight?

Find the volume of a cylinder of height 3cm and radius 2cm.

Given the points S(5, -2) and T(3, 2), calculate the gradient of the line ST.

Kofi invested GH¢ 150,000 at 2.5% per annum simple interest. How long will it take this amount to yield an interest of GH¢11,250.00?

Express 3.75 as a mixed fraction.

A map is drawn to the scale 1:100,000. What distance in kilometres is represented by 5cm on the map?

Given that 3r = (^-3 ₄) and (¹ _-3), find r–2s

Esi went to the market and bought 500 g of meat, 850 g of fish and 900 g of eggs. What is the total weight of the items she bought in kilograms?

A watch gains 1½ minutes per hour. What is the total time gained from 12 noon to 12 midnight in a day?

A printing machine prints 600 books in 3 hours. How many books will the machine print in 5 hours?

The bearing of Atoru from Busase is 275°. What is the bearing of Busase from Atoru?

In a class of 24 pupils, 10 study French only and 8 study English only. If each pupil studies at least one of the two subjects, how many study English?

Convert 84 to a base five numeral.

In the diagrams below, triangle A1B1C1 is an enlargement of triangle ABC. Determine the scale factor.

Find the least number that must be added to 308 to make it divisible by 19.

In a school of 940 pupils, the number of girls exceeds the number of boys by 150. How many girls are there in the school?

Which of the following fractions is equivalent to ⅗?

```In the diagram below, line PQ is parallel to RS and UV is a line drawn through PQ and RS.
Use the diagram to answer Questions 38 and 39.
```
Find angle a.

```In the diagram below, line PQ is parallel to RS and UV is a line drawn through PQ and RS.
Use the diagram to answer Questions 38 and 39.
```
Angle b and angle c are

Expand – x(3 – 2x)