CXC general proficiency math exam: May 2006 mathematics q 1&2

SECTION 3

Answer ALL questions in this section.

All working must be clearly shown.

(a) Using a calculator,or otherwise determine the value of ( 12.3 )² -(0.246 ÷3 ) and write the answer

(i)Exactly
(ii)Correct to two significant figures.
(2marks)

(b) The table below gives information on the values and the rates of depreciation in the value of two motor vehicles.

MOTOR VECHICLE : TAXI PRIVATE CAR
INITAL VALUE : $40 000 $25 000
YEARLY RATE
OF DEPRECIATION: 12% %P

Calculate

The values of p and q
The values of the taxi after two years ( 6 marks each )
(c) GUY 4 1.00 = US $ 0.01 and EC $1.00 = Us $0.37

Calculate the values of

(i) GUY $60 000 in US $

(ii) US $925 in EC $ (2 marks each)

(a) Simplify
( X - 3 ) / 3 - (X - 2) / 5 ( 3 MARKS)

(b) Factorize

a ) x² -5x 1 mark

b) X² -81 1 mark

Simplify
a² 4a

a² + 3a – 4 2 marks

(c) Two cassettes and three CD’ s cost $175 while four cassettes and one CD cost $125

(I) given that one cassette cost $ and one Cd cost $y writy two equations in and y form to represent the information.

2 marks

( ii ) Calculate the cost of one cassette.

2 marks