BECE JHS Mathematics 2007 Past Questions

List the members of the set P = {factors of 30 which are odd}

(a) In a class of 39 students, 19 offer French and 25 offer Ga. 5 students do not offer any of the two languages. How many students offer only French?

(b) *insert image*
In the diagram above, AC is parallel to DG, angle BFG = 118° and angle ABE = 83°. Find the value of
(i)Angle CBF
(ii) x

(c)A fair die is thrown once,
(i)Write down the set of all the possible outcomes
(ii) Find the probability of obtaining a multiple of 2
(iii)What is the probability of obtaining a prime number?

M = {g,o,q,s} and W = {h,p,r,t}. Find M∪W.

(a) A water tank in the form of a cuboid of height 22cm and a rectangular base of length 7cm and width 5cm is filled with water. The water is then poured into a cylindrical container of diameter 14cm. Calculate the height of the water in the cylindrical container.(Take π = 22/7)

(b)A trader is given 15% discount on goods bought from a factory. If the original price of an item in the factory is ¢45,000,000, calculate
i)the discount on the item
ii)the amount the trader paid for the item

(c) Find the truth set of ${{x-3}/3}≤{1/2}+x$

Name the geometrical figure shown in the diagram below

Using a ruler and a pair of compasses only,
(a)Construct triangle PQR such that the length of PQ = 10cm, angle QPR = 90° and angle PQR = 30°

Measure the length of PR.

(b)Bisect the angle QRP to meet PQ at M.

(c)With M as centre, and radius MP draw a circle.

(d)Measure the radius of the circle

Express 5/16 as a decimal fraction

*insert image*
The Bar Chart above is for the distribution of marks in a class test

(a)i) Write down the frequency table for the distribution
ii)Use the table to find the mean mark

(b)If the pass mark is 4, how many pupils failed the test?

If y = 12 x 6 , find y when x = 4

(a) Mr. Jones used 173 units of electricity last month. If the charge for the first 110 units was ¢150 per unit and ¢200 per unit for the rest, calculate the total bill for Mr. Jones.

(b)Express 4 hours in seconds leaving your answer in the standard form

(c) Given the vectors r = (³_-5) and p = (^-7_-9), if q = 2p-r, find q.

```The marks obtained by 13 candidates in a test are5, 7, 2, 9, 11, 10, 2, 12, 2, 9, 3, 18 and 2.
Use this information to answer Questions 6 and 7```
What is the mode?

(a) Using a scale of 2cm to 2units on both axes, draw two perpendicular axes OX and OY on a graph sheet. On the same graph sheet, mark the x-axis from -10 to 10 and the y-axis from -10 to 10.
(i)Plot A(2,2), B(6,2) and C(4,6). Join AB, BC and AC

(ii)Draw the image triangle A1B1C1 of triangle ABC under a clockwise rotation of 90o about the origin, where A→A<sub>1</sub>, B→B<sub>1</sub> and C→C<sub>1</sub>.

(iii)Draw the image triangle A<sub>2</sub>B<sub>2</sub>C<sub>2</sub> of triangle ABC under a reflection in the y-axis, where A→A<sub>2</sub>, B→B<sub>2</sub> and C→C<sub>2</sub>

(b)When 12 is added to a certain number and the sum is multiplied by 4, the result is 60. Find the number

Find the median

```The pie chart above shows the distribution of 360 pupils to various houses in a school.
Use this information to answer Question 8 and 9.```
Find the value of the angle marked X°

```The pie chart above shows the distribution of 360 pupils to various houses in a school.
Use this information to answer Question 8 and 9.```
How many more students are in Yellow house than in Blue house?

Express 242 as a product of prime factors

Change 110011<sub>two</sub> to a number in base ten

A boy throws a die once. What is the probability of getting the number 4?

Arrange the following fractions from the highest to the lowest 5/6, 4/5 and 4/7

Solve the inequality 3x + 6 ≤ 5x -2

If 8x – 3(2x – 4) = 4, find the value of x

```Use the diagram below to answer Questions 16 and 17```
```
Find the size of angle y

```Use the diagram below to answer Questions 16 and 17
```
Angles NTZ and QZT are …

Factorize ¼px² + ⅛px

Jojo and Fiifi shared an amount of money in the ratio 3:4 respectively. If Fiifi had ¢140,000 how much was shared?

Simplify 6(7a+4) – 3(8a+9)

A man invested ¢500,000.00 at 15% simple interest per annum for 2 years. Calculate the amount at the end of the period

Make m the subject of p = 3m+1/m.

Simplify 200 × 0.01 × 372 leaving your answer in the standard form.

What percentage of 5 is 0.25?

Calculate the area of the figure ABCD above

In which of the following constructions is P equidistant from the points A and B?

If a:27 = 6:18, find a

The diagram below shows a circle with centre O. If A and B are points on the circle, what name is given to the shaded region?

An amount of ¢5,400.00 is shared among three sisters in the ratio of their ages. Their ages are 10 years, 6 years and 2 years. Find the share of the youngest sister.

Find the LeastCommon Multiple (LCM) of4,5 and 6.

Expand (a+2b)(a-2b)

If a woman was paid ¢180,000.00 for working for 4½ days, how much would she be paid for one day?

Express 0.68 as a fraction in its lowest term

Write down all the integers within the interval 21 < y ≤ 27

Simplify(26 × 34) ÷ (24 × 32)

Which of the following is represented by vector AB in the diagram above?

Solve for y, if 3 + 3y = 1 – 13y

Convert 37_ten to a base two numeral

The length of a rectangular playing field is 5 metres longer than its width. If the perimeter of the field is 150 metres, find its width.

If the vector m = (³₂) and n = (^-1₃), find m-2n