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BECE 1996 - MATHEMATICS [PAPER II]
THEORY QUESTIONS
(a)
Kofi is n years old now
(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 =
(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.
The table below shows the distribution of pupils in a JSS form one (1) class who speak some of the Ghanaian languages.
| Ghanaian Language | No. of students who speak the language |
| Nzema | 5 |
| Ga | 20 |
| Twi | 30 |
| Ewe | 25 |
| Fante | 10 |
(a)
Draw a pie chart for the distribution.
(b)
What is the modal Ghanaian language?
(c)
If a pupil is selected at random from the form, what is the probability that he speaks Ga?
Using a ruler and a pair of compasses only,
(a)
Construct triangle ABC such that |AB| = 6 cm, |AC| = 10cm and |BC| = 8 cm. 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.
(a)
Using a scale of 2 cm 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 –10 to 10 and the y-axis from –12 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.