BECE JHS Mathematics 2003 Past Questions

P = {3, 6, 9, 12, 15}. Which of the following best describes the set P?

ε={1, 2, 3, 4, …,18}
A={Prime numbers}
B={Odd numbers greater than 3}

(a)If A and B are subsets of the Universal set, ε, list the members of A and B

(b)Find the set
(i)A∩B;
(ii) A ∪ B

(c)(i) Illustrate ε, A and B on a Venn diagram.
(ii) Shade the region for prime factors of 18 on the Venn diagram

If Q = {2, 4, 6, 7, 8, 10} and R = {3, 5, 7, 9, 10, 11}, find Q ∩ R.

(a)If 2n – 5m + 10 = 0, find
(i)m, when n = 2;
(ii) n, when m = 5.

(b)Simplify ${6.4×0.25×16}/{0.08×0.5}$ leaving your answer in standard form

(c) A number of sweets were shared among 8 children and each child received 30. If 12 children shared the same number of sweets, how many will each receive?

Find the set of missing numbers on the number line above.

The table below shows the distribution of the ages (in years) of children in a nursery school.

(a)Find
(i)the modal age
(ii) the mean age

(b)Draw a bar chart for the distribution.

(c)What is the probability that a child chosen at random from the school is 4 years old?

If 7.2 and 7.9 are two points on a number line, find the number in the middle of these points.

(a) If p = (⁴₅), q = (⁰_-2), and r = (^-3₇), find p+2q+r.

(b) Find the solution set of the inequality x-⅘ ≤ ⅕, if the domain is the set {-2, -1, 0, 1, 2}.

(c)A rectangular sheet of metal has length 44cm and breadth 10cm. It is folded to form a cylinder with the breadth becoming the height.

Calculate
(i)the radius of the cylinder formed;
(ii) the volume of the cylinder. (Take π = 22/7)

Find the least common multiple (LCM) of 12 and 20.

(a)Using a pair of compasses and ruler only,

(i)Construct the triangle ABC with |AB| = 8 cm, |BC| = 8cm and |AC| = 7cm.
(ii) Bisect angle ABC and let the bisector meet AC at D. Produce |BD| to P such that |BD| = |DP|. Join AP and CP.

(b)Measure
(i) angle ADB;
(ii) |AP|.

(c)What kind of quadrilateral is ABCP?

Express 72 as a product of prime factors.

If 3t – 2 (t + 12) = 11, find the value of t.

What is the value of the digit 8 in the number 78000 ?

Find the product of 17 and 121.

Araba owes ¢550,000.00 at the bank. She goes to pay ¢150,000.00. How much does Araba owe the bank now?

Evaluate

Express 1.25 as a mixed fraction in its lowest form.

The total number of match sticks in 6 match boxes was 270. Find the total number of sticks in 20 similar boxes.

A car travels at an average speed of 45 km per hour. What distance does it cover in 12 hours?

Calculate the simple interest on ¢130,000.00 for 2½ years at 12% per annum.

Express ⅖ as a percentage

Kwame gets a commission of 20% on bread sold. In one week, Kwame’s commission was ¢45,000.00. How much bread did he sell during that week?

Write 83000 in standard form.

The following marks are the marks obtained by pupils in a test:
2, 3, 5, 2, 3, 4, 2, 3, 5, 3.
What is the mode?

The following marks are the marks obtained by pupils in a test: 2, 3, 5, 2, 3, 4, 2, 3, 5, 3. Calculate the mean.

There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is red?

Ify = ⅓(x-2), express x in terms of y.

Simplify 6a² × 4a²b²

Change 17_ten to a base two numeral.

Which of the following statements is true?

Find the set of integers within the interval -2 < x < 2

```Use the mapping below to answer question 27
${\table 1,2,3,4,5;y,-4,-2,0,2,m}$```
What is the rule for this mapping ?

${\table x,1,2,3,4,5;y,-4,-2,0,2,m}$
Find m.

Which of the following represents the net of a pyramid?

A rectangular tank has dimensions 2.5m by 4m by 5m. It is filled with water to the brim. If 35m³ of the water is used, how much water is left in the tank?

In the triangle XYZ, angle XZY = 90o, |XY| = 13cm and |YZ| = 5cm. What is the length of XZ ?

How many lines of symmetry has an equilateral triangle ?

The value of an obtuse angle lies between

In the diagram above, AB is parallel to CD. Angles x and y are

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

Empty

The dimensions of a cuboid are 2cm, P cm and 5cm. Which of the following is an expression for the volume of the cuboid?

Simplify 5(3t + 1) – 6(t – 1).

Simplify: ( ⅔ – ½ ) ÷ ⅙

The point P moves in a plane such that it is always at equal distance from two fixed points, A and B in the same plane. Which of these is the locus of the point P?