BECE JHS Mathematics 2011 Past Questions

Which of the following is the set of prime factors of 12?

(a) In a school of 255 students, 80 of them study Arabic only and 125 study French only. Each student studies at least one of the two subjects

(i) Draw a Venn diagram to represent the information
(ii) How many students study
(a) both subjects?
(ß) French?

(b) Make h the subject of v = ⅓πr²h

(c) A bookseller bought 80 copies of books at GH¢ 3.50 per copy. He sold each of them at GH¢ 4.20. Find
(i) the total cost price
(ii) his percentage profit

Expand 3a (a – 4b)

(a) The pie chart below shows the distribution of exercise books to six schools ABCDE and F in a town. School D was given 8000 exercise books.

*insert image*

(i) How many exercise books were given to each of the rest of the schools?

(ii) What is the average number of exercise books given to the schools?

(iii) How many schools had less than the average number of exercise books?

(b) Solve the inequality below and illustrate the answer on the number line
⅓x +1 ≥ ½x + ¼(2-x)

Express 5 as a percentage of 4.

(a) Using a ruler and a pair of compasses only, construct
(i) triangle ABC such that ¦AB¦ = 8cm, angle CBA = 45° and CAB = 60°.

(ii) the bisector of angle ACB to meet AB at T

(b) Measure
(i) ¦CT¦;
(ii) angle CTB.
(c) A boy spent 3/8 of his money and had GH¢ 15.00 left. How much did he have?

Express 2700 as a product of prime numbers.

(a) The perimeter of a rectangular plot of land whose length is (2x+5) m and width (x – 10) is 80 m. Find the

(i) value of x;
(ii) area of the plot;
(iii) cost of weeding the plot at GH¢ 0.24 per m2.

(b) Find the value of x and w in the diagram below if ¦AB¦ = ¦BC¦

*insert image*

The ratio of mangoes to oranges in a basket is 3:2. If there are 36 mangoes, how many oranges are in the basket?

(a)
(b) The number of pupils in a primary school is given in the table below:
*insert image*
(i) Find the number of pupils in the school
(ii) What is the mean number of pupils in a class?
(iii) What percentage of pupils is in class six?

(c) Convert 312₅ to a base ten numeral

Express 0.125 as a fraction in its lowest form.

a) Copy and complete the table for the relation , where y is the cost (in Ghana cedis) and x is the weight (in grammes) of rice sold in a market.
*insert image*

(b) (i) On a graph sheet, draw two perpendicular axes OX and OY.
(ii) Using a scale of 2 cm to 50 grammes on the x-axis and 2 cm to GH¢ 2.00 on the y-axis draw the graph of the relation .

(c) Using the graph, find
(i) the cost of 175 grammes of rice
(ii) the weight of rice that can be bought with GH¢14.00

(d) Factorize: 3a² - 8bc - 12ac + 2ba

Convert 222₅ to a number in base ten.

If A = {18, 19, 20} and B = {15, 16, 17}, find A∩B

Simplify 3⁹ ÷ 3³

An article which costs GH¢ 25.00 was sold for GH¢ 35.00. Find the percentage profit made.

Factorize completely b² + fb - mb - fm

Simplify: -13 – (-3) + (-10)

Find the HCF of 3³ × 5² and 3² × 5⁴

State the rule for the mapping
${\table x,1,2,3,4;y,15,30,45,60}$

Solve the inequality x - ⅓ ≥ ⅔ - x.

Find the area of a square, if its perimeter is 28cm.

Simplify ⅓ (½ - ⅓) - ⅓ (⅓ - ½)

Make n the subject of the relation θ = 180 - 360/n.

If R = ${h/2}+{d^2/{8h}}$, find R when d = 8 and h = 6.

Eight copies of a book cost GH¢16.00. Find the cost of 5 copies.

⅕(2+y) = ½(y-1)

The gradient of the straight line that passes through points A(3,2) and B(4,8) is

A car is travelling at 60km per hour. How far does it travel in 2½ hours?

In the diagram below RS and WV are parallel lines. The value of the angle marked a is

Given that s = (⁵ _2n) and b = (^2n-1 ₆). If a=b, find the values of n.

Find the volume of a cube of side 5 cm.

In the diagram below, AB and CD are two intersecting straight lines. Find the value of the angle marked y.

Kwame and Ama shared an amount of money in the ratio 5:4 respectively. If Kwame had GH¢9.00, how much did they share?

The area of the trapezium above is

If s = (²/_-5) and b = (^-2/₅), calculate 2r-3s

There are 10 red and 15 green balls in a bag. Find the probability of selecting at random a red ball from the bag.

```The table below gives the distribution of ages of students in a class. Use it to answer Questions 32 – 34
${\table Age,13,14,15,16,17;Num.OfStudents,3,10,6,7,4}$```
How many students are in the class?

```The table below gives the distribution of ages of students in a class. Use it to answer Questions 32 – 34
${\table Age,13,14,15,16,17;Num.OfStudents,3,10,6,7,4}$```
What is the modal age?

```The table below gives the distribution of ages of students in a class. Use it to answer Questions 32 – 34
${\table Age,13,14,15,16,17;Num.OfStudents,3,10,6,7,4}$```
If a student is chosen at random from the class, what is the probability that the student is 15 years old?

A length of a ribbon is 16.8 m long. How many ribbons 0.36 m long can be cut from it?

A refrigerator was sold for GH¢200.00 at a loss of 10%. Find the cost price.

The diagram below is the net of a

What is the value of 7 in the number 832713?

Write 3560 in standard form.

Correct 0.02751 to three decimal places