## Monday, March 4, 2013

Mathematics Test V Solution - Page 109

19. If the area of the rectangle ABCD shown below is 36 square units, how many square units is the area of the shaded region?

Arectangle = bh
Arectangle = 36
bh = 36

Atriangle = 1/2 bh
= 1/2 (36)
= 18 sq. units * Ans.

20. This tank holds 48 liters of gasoline and the car averages 5 kilometers per liter. Approximately how many kilometers can a car travel this given guage?

The guage indicates that the tank is 1/4 full.

Let N - be the number of kilometers that can be traveled.

N = (  1  tank) x  48 liters  x  5 km
4               tank           liter

= 1/4 x 48 x 5 km
= 60 km. * Ans

21. Which of the following graphs represents the taxi rates for a company that charges \$ 3.50 for the first 200 meters and \$ 1.00 for each additional 100 meters?

This is the approximate graph for the taxi rate, there is an abrupt change in the fare for every 100 meters change in the distance.

* Ans.

22. A laboratory assistant was preparing a solution that should have included 40 milligrams of chemical. If he actually used 41.30 milligrams, what was his percentage error (to the nearest 0.01 %)?

% error =       error       x 100%
correct value

=  41.30 - 40  x 100%
40
=  1.3  %
40
=  130 %
40
=  3.25 % * Ans

Civil Service Reviewer Post 109/159