BECE 1996 Mathematics (Maths) Paper 2 Essay
BECE PAST QUESTIONS AND ANSWERS
BECE 1996 MATHEMATICS (MATHS) PAPER 2
ESSAY
Attempt
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.
1. (a) Kofi is n years old?
i. How old was he 5 years ago?
ii. How old will he be 10 years from now?
iii. If his age in 10 years’ time will be four times his age 5 years ago how old is he now?
(b) Convert 2342five to a base ten numeral.
(c) Given that f = vu , find v, if f = 20 and u = 5.
v + u
2. (a) A man deposited ¢350,000.00 in his account in a bank. A simple interest of 4% per annum was paid on his deposit. Calculate the total amount at the end of 4 years.
(b) The cost of sending a telegram is ¢500 for the first 12 words and ¢25.00 for every extra word.
Find the cost of sending a telegram containing 20 words.
3. The table below shows the distribution of pupils in a JSS form one (1) class who speak some of the Ghanaian languages.
|
Ghanaian |
No. of students who |
|
Nzema |
5 |
|
Ga |
20 |
|
Twi |
30 |
|
Ewe |
25 |
|
Fante |
10 |
(a) (i) Draw a pie chart for the distribution.
(ii) What is the modal Ghanaian language?
(b) If a pupil is selected at random from the form, what is the probability that he speaks Ga?
4. Using a ruler and a pair
of compasses only,
a)
Construct triangle ABC such that |AB| = 6cm, |AC| = 10cm and |BC| = 8cm.
Measure angle ABC.
b) Construct the perpendicular bisectors (mediators) of |AB| and |BC|. Let the
bisectors meet at O.
c) Construct a circle with centre O and radius OA. Measure the radius of the
circle.
5. (a.) Using a scale of 2cm to 2 units on both axes draw two perpendicular axis, OX and OY on a graph sheet.
(b.) On this graph sheet, mark the x-axis from –4 to 10 and the y-axis from –6 to 12.
(c.) Plot on the same graph sheet the points A (2, 1), B(3, 4) and C(4, 2). Join the points to form a triangle ABC.
(d.) Draw an enlargement A1B1C1 of triangle ABC with scale factor 2 from the origin O (0, 0), such that A→A1, B→B1 and C→C1. Indicate the co-ordinates of triangle A1B1C1. Show all lines of transformation.
(e.) Using the x-axis as mirror line, draw the image A2B2C2 of triangle ABC, where A→A2, B→B2 and C→C2. Indicate the co-ordinates of triangle A2B2C2.
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