BECE JHS Mathematics 2013 Past Questions

If A = {5, 10, 15, 20, 25, 125}and B = {5, 10, 15, 20, 25, 625}, list the elements of A∪B

(a) Fifty students in a class took an examination in French and Mathematics. If 14 of them passed French only, 23 passed in both French and Mathematics and 5 of them failed in both subjects, find

(i) the number of students who passed in French
(ii) the probability of selecting a student who passed in Mathematics

(b) Solve the inequality 2x-1½ ≥ 5x-6

Express 1.25 as a percentage

(a) Convert 444₅ to a base two numeral

(b) A man had three GH¢ 50.00, seven GH¢ 20.00 and five GH¢ 10.00 notes in his pocket. If he bought a bicycle for GH¢150.00 and two mobile phones at GH¢ 80.00 each, how many GH¢ 20.00 and GH¢ 10.00 notes did he have left?

Arrange the following in ascending order of magnitude: 0.301, 0.3, 0.33, 0.03

(a) Using a ruler and a pair of compasses only,
(i) construct a triangle XYZ with length |XY| = 7cm, length YZ = 5cm and angle XYZ = 45°
(ii) Measure and write down the length of XZ

(b) Given that the circumference of a circle is 44 cm, find
(i) the radius of the circle
(ii) the area of the circle [Take π = 22/7]

Evaluate 53 – (–7) + (–15)

The table shows the distribution of marks of students in a class test

Mark	1	2	3	4	5	6
Fraquency	5	6	5	3	4	2

(a) Using a graph sheet, draw a bar chart for the distribution.

(b) Calculate the mean mark of the distribution correct to the nearest whole number.

Given that A = {a, e, i, o, u} and B = {r, s, t}. How many elements are in A∩B?

(a) Simplify 6(3⅚ - 1¼)

(b) Copy and complete the magic square so that the sum of numbers in each row or column or diagonal is 18
*insert image*

(c) Find the sum of all the factors of 24.

(d) Given that m = (³ _-1), n = (^-1 ₂),and r = ¹⁸ _-6, find m + n + r.

Convert 2114₅ to a base ten numeral.

(a) Copy and complete the table for the relation y=2x+5
*insert image*

(b) (i) Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes OX and OY on a graph sheet.
(ii) Mark the x-axis from –6 to 10 and y-axis from –6 to 14.
(iii) Using the table, plot all the points of the relation y=2x+5 on the graph.
(iv) Draw a straight line through the points.

(c) Use the graph to find
(i) y when x = 1.6
(ii) x when y = 10

Simplify ${2^2×3^2}/{4^2×3^3}$

A car uses 150 litres of petrol in 45 minutes. How many litres of petrol will it use in 1 hour?

Simplify ${36a^3b^2x}/{27ab^3y}$

Find the rule of the mapping
${\table 1,2,3,4,5,x;↓,↓,↓,↓,↓,↓;5,8,11,14,17,y}$

Given that –1 = 2 – m, find m

The perimeter of a rectangle is 48cm. If the length is 14cm, find its width.

Make d the subject of the relation n=2d+3

Calculate the gradient of the straight line joining the points

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Use the diagram above to answer Questions 15 and 16```
Find the angle marked a

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Use the diagram above to answer Questions 15 and 16```
Find the angle marked b

If S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, find the probability that a number selected at random from S is odd.

Find the vector which translates the point (4, –5) to (3, –2)

Factorize completely the expression 2xy-6y+7x-21.

The area of a circle is 154 cm2. Find the diameter. [Take π = 22/7]

Maame Esi rides her bicycle to school and back everyday. If the distance from her home to the school is 2345m, how many kilometers does she cover everyday?

The length of a rectangular fence is 25 m. The ratio of the length to the width is 5:3. Find the width of the rectangular fence.

Evaluate 20/a - b, if a = 30 and b = 1.

How many 15Gp Christmas cards can be bought with GH¢18.00?

If u = (⁶ ₉) and v = (⁴ _-5), find u+v.

If 4956 × 25 = 123,900, evaluate 495.6 × 2.5 leaving the answer in standard form.

Which of the following expressions is illustrated on the number line?

If 180 oranges were shared among Kwame and Ama in the ratio 7:5, respectively, how many oranges did Ama receive?

Calculate the simple interest on GH¢ 450.00 for 2 years at 12% per annum.

If 15% of the length of a rope is 75 cm, find half of the length of the rope.

In an office, 2/3 of the telephone bill is paid by Tom, by 1/5 by Azuma and the remaining by Tina. What fraction is paid by Tina?

Which of the following best describes the construction?

Express 0.055 as a common fraction

```The table below shows the distribution of workers in some trades
${\table Trade,ShoeMaking,Mining,Road Transport,Agriculture,ManufacturingGoods;NumberOfWorkers,300000,25000,160000,225000,165000}$
Use this information to answer Questions 34 and 35```
Which trade employed the most number of workers?

```The table below shows the distribution of workers in some trades
${\table Trade,ShoeMaking,Mining,Road Transport,Agriculture,ManufacturingGoods;NumberOfWorkers,300000,25000,160000,225000,165000}$
Use this information to answer Questions 34 and 35```

How many people are employed under all the trades?

Aba bought a carton of fish at GH¢80.00 and sold it at a profit of GH¢13.60. Find the selling price.

If the two figures ABCD and PQRS are similar, find the value of b.

A man shared an amount of money between his two children, Esi and Ato in the ratio 2:3 respectively. If Ato received GH¢45.00, what was the total amount shared?

How many edges has a cuboid?

Two sets whose intersection is an empty set are