BECE JHS Mathematics 2008 Past Questions

M = {1,2,3,4,5, …, 20},Q = {3,4,5,6,7,8}and R = {2,3,5,7}
If Q and R are subsets of M, find Q∩R.

a)E and F are subsets of the universal set U such that U = {natural numbers less than 15},
E = {even numbers between 1 and 15} and F = {multiples of 4 between 9 and 15}.
(i)List the elements of U, E and F
(ii)Draw a Venn diagram to show the sets U, E and F

(b)In a school, 7/10 of the pupils like Mathematics. Half of those pupils who like Mathematics are girls. If there are 240 pupils altogether in the school, how many girls like Mathematics?

(c)A typist charges 28Gp for the first five sheets and 8Gp for each additional sheet she types. How much will she earn, if she types 36 sheets?

List the members of the set {2 ≤ x ≤ 5}

*insert image*

The diagram AEBCD shows the shape of Mr. Awuah’s garden, which is made up of a rectangular portion ABCD and a triangular portion AEB.

|AB| = |DC| = 90m, |AD|=|BC|=70m, |AE|=48.5m and |EB|=50m. The height of the triangle is 20m.

(a)Find the
(i)Area of ABCD
(ii)Area of AEB
(iii)Total area of the garden
(iv)Perimeter of the garden.

(b) Find the value of x if ${{3x-2}/5}$ is greater than ${{1-4x}/10}$ by 5.

Round 8921465 to the nearest hundred

(a)A traffic survey gave the results shown in the table below.
*insert image*

(i)Represent the information on a pie chart.
(ii)What percentage of the vehicles were lorries?

(b)Akosua was granted a loan of GH¢96.00. The interest rate was 24% per annum. Calculate the
(i)Interest at the end of the year
(ii)Total amount she had to pay at the end of the year.
(iii)Amount she still owes, if Akosua was able to pay only GH¢60.00 at the end of the year

Write 98 as a product of its prime factors

(a)Copy and complete the table of values for the relations y₁ = 2x+5andy₂ = 3-2x for x from -4 to 3
*insert image*

(b)(i) Using a scale of 2cm to 1 unit on the x - axis and 2cm to 2 units on the y-axis, draw two perpendicular axes OX and OY on a graph sheet.
(ii)On the same graph sheet draw the graphs of the relations y₁ = 2x+5 and y₂ = 3-2x

(c)Find the coordinates of the point where y₁ and y₂ meet.

(d) The vectors p = (²₃), q = (²₅) and r = ½(q+p). Find the vector r.

Evaluate 4(8-2) + 5(3-8)

(a)Using a ruler and a pair of compasses only,
(i)construct triangle ABC with sides |AB|=7cm, |BC|=8cm and |AC|=9cm;
(ii)draw the perpendicular bisectors of the three sides;
(iii)locate the point of the intersection, O, of the perpendicular bisectors;
(iv)With centre O and radius OA, draw a circle to pass through the vertices of the triangle.

(b)Measure and write down the radius of the circle you have drawn in (a)(iv)

(c)Find the product of (2x – 3) and (x – 1)

rrange the following in descending order of magnitude: 0.32, 2/5, 27%, 1/3

(a)The marks obtained by 20 pupils in a test were as follows:
$\table 4,8,7,6;2,1,7,4;3,7,6,4;7,5,2,7;5,4,8,3;$

(i)Construct a frequency distribution table for this data
(ii)What is the mode of the distribution?
(iii)Calculate the mean mark
(iv)What percentage of the pupils passed, if the pass mark is 6?
(v)What is the probability that a pupil selected at random scored not more than 5 marks?

(b) Simplify 7⅔ - 4⅚ + 2⅜

The ratio 8:12 is equivalent to y:9. What is the value of y?

Write 0.55 as a fraction in its lowest term

Which solid figure can be made from the net below?

Simplify 5w + 7p2 – 4w + 3p2

Osei bought a hat for GH¢5.00. He sold it to Yaovi at a profit of 20%. How much did Yaovi pay for the hat?

Simplify 29 ÷ 23

Find the image of -3 under the mapping x → 2(x+3)

A football field is 120 m long and 75 m wide. What is the perimeter of the field?

A tank holds240 litres of water. How much water is in the tank when it is 4/5 full?

A man has 6x sheep and 5y goats. He sells 3x sheep and 2y goats. How many animals are left after the sales?

```The table below shows the average rainfall in a town from March 2003 to August 2003.
${\table Mar,Apr,May,Jun,Jul,Aug;Rainfall(mm),96,147,281,452,26t,139}$```
What was the total amount of rainfall in May, June and July?

```The table below shows the average rainfall in a town from March 2003 to August 2003.
${\table Mar,Apr,May,Jun,Jul,Aug;Rainfall(mm),96,147,281,452,26t,139}$```
What was the mean rainfall in the town over the six months?

A trader buys a dozen pens at GH¢4.80 and sells them at 48Gp each. Find her percentage profit.

Find the angle through which the minute hand of a clock moves from 5:15pm to 5:25pm

If E = {prime numbers between 10 and 20} and F = {odd numbers between 0 and 16}, find E∩F.

Write 17<sub>ten</sub> as a base two numeral.

What fraction of a revolution is 72°?

Express 6 days is to 3 weeks as a ratio in its simplest form

The letters in the word HIPPOPOTAMUS are placed in a box. What is the probability of taking out a letter that is a vowel?

Find the perimeter of the kite below.

How many lines of symmetry has an equilateral triangle?

If p = (<sup>4</sup><sub>3</sub>) and q = (<sup>-2</sup><sub>7</sub>), find 4p-2q

Which of the following is not a quadrilateral?

```Use the figure below to answer Questions 31 and 32
```
Find the value of x

```Use the figure below to answer Questions 31 and 32
```
What is the value of f?

Solve 4k/9 = 12

Expand (a + 4) (a + 6)

Find 12½% of GH¢80.00

Write the number34.1 in standard form

Simplify 30/5(-2)

Find the highest common factor of 15 and 21.

The difference between two numbers is 168. If the smaller number is 113, find the other number

If r = (²₅) and t = (^-2_-3), evaluate r+t.