BECE 2002 (July) Mathematics (Maths) Paper 2 Essay
BECE PAST QUESTIONS AND ANSWERS
BECE 2002 (JULY)
MATHEMATICS (MATHS)
ESSAY (Paper 2)
Answer four questions only from this section All working must be clearly shown.
The use of calculators is not allowed
Marks will not be awarded for correct answers without corresponding working. All questions carry equal marks
1. (a) Simplify 2 ¾ ÷ (3 3/8 – 1 ½)
(b) There are 50 pupils in a class. Out of this number, 1/10 speaks French only and 4/5 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 Otu 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 – 3 – 2x - 4 < 4
6 4
(b) (i) Copy and complete the table of values for the relation, y = 2x + 1.
x
|
-3
|
-2
|
-1
|
0
|
1
|
2
|
3
|
4
|
y
|
-5
|
-3
|
1
|
7
|
(ii) Using a scale of 2cm to 1 unit on the x-axis and 2cm to 2units on the y-axis, plot the ordered pairs (x, y) on a graph sheet.
(iii) Use a ruler to join the points 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.
Dishes
|
No. of students
|
Fufu and light soup
|
5
|
Banku and Okro stew
|
20
|
Fried Rice
|
30
|
Fried Plantain and Beans
|
25
|
Boiled yam and palaver sauce
|
10
|
(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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