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13th May, 2025 12:12 PM
BECE

BECE 2002 - MATHEMATICS [PAPER II] - B

THEORY QUESTIONS

1.
 

(a)

 

Simplify 234 ÷ (338112)

(b)

 

There are 50 pupils in a class. Out of this number, 110 speak French only and 45 of the remainder speak both French and English. If the rest speak English only,

(i)

 

find the number of students who speak

(α)

 

both French and English;

(β)

 

only English.

(ii)

 

Draw a Venn diagram to illustrate the above information.

2.
 

A shop sells a pencil at ₵500.00 and a pen at ₵2,000.00

(a)

 

If Afua bought 8 pencils and 5 pens, how much did she pay together for them?

(b)

 

The price of a pencil is increased by 20% and a pen by 10%. Find how much she will pay for 10 pencils and 8 pens.

3.
 

(a)

 

Using a ruler and a pair of compasses only, construct

(i)

 

triangle ABC such that AB = 12cm, AC = 8cm and BAC = 30°;

(ii)

 

a perpendicular from C to meet AB at M.

(b)

 

Measure

(i)

 

angle ABC;

(ii)

 

|CM|.

(c)

 

Calculate the area of triangle ABC.

4.
 

(a)

 

Solve the inequality 5x - 36 - 2x - 44 < 2

(b)

 

(i)

 

Copy and complete the table of values for he relation, y = 2x + 1

x-3-2-101234
y-5-317

(ii)

 

Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 2 units on the y-axis, plot the ordered pairs (xy) on a graph sheet.

(iii)

 

Use a ruler to join the joints plotted.

(iv)

 

Use your graph to find

(α)

 

x when y = 4

(β)

 

y when x = -2.5

5.
 

The table shows the number of students in a JSS class who prepared various dishes for their practical.

DishesNo. of students
Fufu and light soup5
Banku and Okro stew20
Fried rice30
Fried plantain and beans25
Boiled yam and palaver sauce10

(a)

 

(i)

 

Draw a pie chart for the distribution above.

(ii)

 

What dish was prepared most?

(iii)

 

What percentage of students prepared fried rice

(b)

 

What is the probability that a student chosen at random cooked fried plantain and beans?


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