BECE JHS Mathematics 2014 Past Questions

If set N is a subset of set M, then

(a) P = {factors of 30}

Q = {Multiples of 5 less than 40}

Find P ∩ Q

(b) A trader saved GH¢ 200.00 for 3 years at 12% simple interest per annum.
What will be the total amount in the trader’s account at the end of the 3 years?

(c) Evaluate ${4.56×3.6}/{0.12}$ and leave your answer in standard form.

```The Venn diagram shows the number of pupils who offer Mathematics (M) and / or English in a class.



Use this information to answer Questions 2 and 3.```
How many pupils offer Mathematics?

(a) (i) Ama scored 82, 74 and 90 in three tests. What mark should she score in the fourth test so that her average mark for the four tests would be 85?

(ii) What was her median score in the four tests?

(b) *insert image*

In the diagram (AD)̅ is parallel to (EG)̅, angle CFG = 40° and triangle BCF is isosceles.
Find the value of :

(i) angle CBF
(ii) angle DCF;
(iii) x

```The Venn diagram shows the number of pupils who offer Mathematics (M) and / or English in a class.


Use this information to answer Questions 2 and 3.```
How many pupils offer only one subject?

(a) Solve for x, if ⅓x+1⅔<-¾x-½
(b) The following shows the distribution of marks of students in an examination.
$\table 6,43,26,18,27;42,8,22,31,39;55,44,37,47,59;10,12,36,53,48$
(i) Make a stem-and-leaf plot of the marks above
(ii) Find the probability of selecting a student who scored between 40 and 50.
(iii) Find the number of students who passed the examination, if the pass mark was 30.

Simplify: 12 – 7 – (– 5)

(a) A box has length 8.0 cm, width 5.0 cm and height 10.0 cm.
Find the:

(i) total surface area of the box
(ii) the volume of the box.

(b) (i) Using a scale of 2cm to 1 unit on both axes, draw two perpendicular axes Ox and Oy on a graph sheet.
(ii) On the same graph sheet mark the x-axis from –5 to 5 and the y-axis from – 6 to 6
(iii) Plot and join the points A(0, 3), B(2, 3), C(4, 5) to form triangle ABC.
(iv) Draw the image A1B1C1 of triangle ABC under a translation by the vector -1-1
(v) Draw the image A2B2C2 of triangle ABC under a reflection in the x – axis

Express 72 as a product of its prime factors

(a) Using a ruler and a pair of compass only;
construct triangle PQR such that |PR| = 8cm, |PQ| = 6cm and |QR| = 5cm;
construct the perpendicular bisector of PR and label it l<sub>1</sub>
construct the perpendicular bisector of QR and label it l<sub>2</sub>;
Label the point of intersection of l1 and l2 as N
With N as centre and radius equal to |PN|, draw a circle.

(b) (i) Measure the radius of the circle.
(ii) Calculate the circumference of the circle, correct to 3 significant figures.
[Take π = 3.14]

Find the smallest number which is divisible by 16 and 20?

Factorize completely 6xy – 3y + 4x – 2

(b) *insert image*

The diagram shows a ladder AB which leans against a vertical wall PQ at B.
If |PB| is 8 m, and the other end of the ladder is 6 m away from the foot of the wall (at P), find the length of the ladder (|AB|)

(c) Kojo had 1800 bags of rice in stock for sale. In January, he sold ⅔ of it.
In February, he sold ¾ of what was left.

(i) What fraction of the stock of rice did he sell
(α) in February?
(β) in January and February?
(ii) How many bags of rice were left unsold, by the end of February?

Convert 243<sub>5</sub> to a base ten numeral.

A pineapple which was bought for GH¢ 1.00 was sold at GH¢ 1.30. Calculate the profit percent.

Simplify 35x<sup>5</sup>y<sup>3</sup>7xy<sup>2</sup>

Two bells P and Q ring at intervals of 3 hours and 4 hours, respectively. After how many hours will the two bells first ring simultaneously (at the same time)?

A boy scores 17/25 in a French test. Express his score as a percentage.

Arrange the following fractions in ascending order of magnitude 2/5, 5/12 and 3/4,

Kofi paid rent of GH¢ 1,800.00 each year. If the rent is 0.3 of his annual income, find his annual income.

I gave a storekeeper a GH¢10.00 note for goods I bought. He asked me for another 15Gp for ease of change. If he then gave me 50 Gp, how much did I pay for the goods?

Kojo can buy 15 shirts at GH¢ 4.00 each. If the price is increased to GH¢ 5.00, how many shirts can he now buy?

A hall which is 8m long is represented on a diagram as 4 cm long. What is the scale of the diagram?

Jane arrived at work at 7:55 am and left at 4:15 pm. For how long was she at work?

Given that (3.14 × 18) × 17.5 = 3.14 × (3p × 17.5), find the value of p

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Use this information to answer Questions 19 to 21```

Find the value of x

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Use this information to answer Questions 19 to 21```

Kwaku earns GH¢ 630.00 a month. How much of this does he spend on food?

What percentage of his salary does he spend on rent and utilities?

In an enlargement with scale factor 2, which of the following statements is not true?

Kofi, Kojo and Ama shared GH¢ 480,000.00 in the ratio 3:5:4. How much did Ama receive?

If w = 12, x = 5, y = 6 and z = 4, find the value of wx – yz.

A man was 24 years old when his son was born. Now he is three times as old as his son. Find the age of the son.

There are 20 identical balls in a box. Twelve are blue and the rest are green. If one ball is taken at random from the box, find the probability that the ball is green.

Using the following mapping, find the missing numbers p and q.
$\table x,1,2,3,4,5,6;y,3,5,p,9,11,q;$

The perimeter of a rectangle is 24 cm. If the length is 7 cm, find its width.

A boy walks on a bearing 070°. Which of the following diagrams show his direction?

How many faces has a cube?

The diameter of a circular tray is 28 cm. Find the area of the tray. [Take π = 22/7]

Calculate the volume of a cylinder with radius 7 cm and height 10 cm. [Take π = 22/7]

```Use the diagram below to answer questions 33 and 34

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Find the value of e.

```Use the diagram below to answer questions 33 and 34

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Find the angle marked d

A 3.6 m long string is to be cut into pieces, each of length 40 cm. How many pieces can be cut from the string?

Solve the inequality 2x+10≥7x/2-5

The point P (5, 4) is reflected in the y-axis. Find its image.

If , find the value of x.

Find the gradient of the line which passes through the points M(–1, 2) and N(6, –3)

Find the next two terms in the sequence 11, 7, 3, –1, ¬___, ___.