BECE JHS Mathematics 2001 Past Questions

R = {1, 3, 5, 7} and S = {2, 4, 6, 8}. Find R U S.

(a) M is a set consisting of all positive integers between 1 and 10. P and Q are subsets of M such that P = {factors of 6}, Q = {multiples of 2}
(i)List the elements of M, P and Q
(ii)Represent M, P and Q on a Venn diagram
(iii) Find P ∩ Q

(b) (i) Solve the inequality: ${{2x-2}/4}-{{2x-1}/3}$ ≤ 1
(ii) Illustrate your answer on the number line

Find the missing members in the set {5, 10, 15,, 25, _ , _ ,40}

(a) Express 131_five as a binary numeral

(b)Three children, Kwabena, Esi and Yaw were given 160 oranges to share. Kwabena gets ¼ of the oranges. Esi and Yaw share the remainder in the ratio 3:2 respectively.
(i)Find how many oranges Esi received.
(ii) How many more oranges did Yaw receive than Kwabena?

What property of addition is defined by (a+b)+c = a+(b+c) ?

(a) Using a ruler and a pair of compasses only, construct triangle XYZ, such that |XY| = 6cm, |XZ| = 8cm and |YZ| = 10cm.

(b)(i)Construct the mediator of line YZ
(ii)construct the mediator of line XZ
(iii)Locate O, the point of intersection of the mediators of lines YZ and XZ.
(iv)With centre O and radius OY, draw a circle.

(c)Measure the radius of the circle you have drawn in (b) (iv) above and hence calculate the circumference of the circle. [ Take π = 3.14 ]

Find the highest (greatest) common factor of 63 and 81.

a)(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-axes from –5 to 5 and the y-axis from –6 to 6.

b) On the same graph sheet, plot the points A (2, 5), B(4, 3)and C (1, 1). Join the
points A,B and C to form a triangle.

c) Reflect triangle ABC in the y-axis such that A→A₁, B→B₁ and C→C₁. Label the
vertices of triangle A₁B₁C₁

d) Translate triangle A1B1C1 by the vector (³₄)such that A₁→A₂, B₁→B₂ and C₁→C₂. Label the vertices of triangle A₂B₂C₂

e)Join the vertices A₁ B₁ B₂ and C. Name the figure formed.

f)Find A₁ ^→ B₁

Change 124_five to a base ten numeral.

(a) A cylinder closed at one end has radius 7cm and height 20cm.
(i)Find its total surface area.
(ii) If the cylinder is filled with water to a depth of 5cm, calculate the volume of the water in it.
[Take π = 22/7]

(b) Evaluate ${0.07×0.6}/{0.014×0.03}$ leaving your answer in standard form

Kofi bought 4 books at an average price of ¢2,500.00. If the total cost of 3 of the books was ¢6,500.00, find the cost of the fourth book.

Find the sum of all even numbers between 70 and 80.

By how much is 5/6 greater than 3/4 ?

Evaluate 0.25 × 0.006, correct to three decimal places.

Express 5/8 as a decimal fraction

The following are the angles formed at the centre of a circle: 30°, 70°, 120°, 2x and 5x. Find the value of x.

On a map 1cm represents 4.5km. What is the actual distance between two towns which are 4cm apart on the map?

If 2y = 6 – 3x, find y when x = 0

How many lines of symmetry has an isosceles triangle?

Kofi’s age in the next ten years will be four times his age five years ago. How old is Kofi now?

A point P (3, 4) is rotated through an angle of 90° anticlockwise about the origin O. Find the image P1 of rotation

Which of the following is not quadrilateral?

Express 2345 in standard form.

Solve the inequality 3(x – 1) ≤ 12

Kofi and Ama sharedan amount of money in the ratio 3:2 respectively. If Kofi had ¢60,000.00, how much was shared?

Workers are required to pay 4½% of their salaries into an educational fund. A worker’s salary is ¢120,000.00. How much does he pay into the educational fund?

Araba bought an electric cooker for ¢540,000.00 at a discount of 10%. Find the actual price of the electric cooker.

Given that √p² × q² = p×q, find the value of a, if a = √13² × 15²

A mapping is defined by n → 2n–3. What is the image of –2 under the mapping?

Simplify 4p + 6p2 – 2p + 2p2

Make q the subject of the relation $W = {{n-q}/q}$.

Given that E = ½ mc², find E when m = 10 and c = 4

The scores obtained by 8 pupils in a test are2, 3, 3, 5, 7, 8, 8 and 10.
What is the median score?

Find the mean score.

The scores obtained by 8 pupils in a test are: 2, 3, 3, 5, 7, 8, 8 and10. What is the probability that a pupil chosen at random scores 8 marks?

```The graph of the straight line MN is shown below. Use it to answer questions 31 and 32
```
Determine the value of x when y is 3

```The graph of the straight line MN is shown below. Use it to answer questions 31 and 32
```
Find the gradient of line MN.

State the rule for the mapping
${\table x,1,2,3,4,5;y,1,4,9,16,25}$

The area of a rectangle is 18cm². One of its sides is 9cm long. Find its perimeter.

Calculate the area of figure PQRST

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

```Use the diagram below to answer questions 37 and 38

Line MP is parallel to line QNO. Angle NMO = 57° and angle MNQ = 105°```
Find the angle MON

```Use the diagram below to answer questions 37 and 38

Line MP is parallel to line QNO. Angle NMO = 57° and angle MNQ = 105°```
Angle MON and PMO are

If u = (<sup>1</sup><sub>3</sub>) and v = (<sup>4</sup><sub>-2</sub>), find 2u+3v.

Which of the following statements best describes the construction above?