Arithmetic Reasoning – AFCT Final
Exam Study Guide Test.
A television is on sale for 20% off. If the sale price is $800, what was the original price? - CORRECT
ANSWER $1,000
If an item is discounted 20%, the sale price is 80% of the original price. Let p represent the original price.
Then $800 = 80% × p and p = 800/80% = 800/.80 = $1,000.
The area of one circle is four times as large as a smaller circle with a radius of 3 inches. The radius of the
larger circle is - CORRECT ANSWER 6 inches.
The area of the circle with a radius of 3 is pr2 = p × r2 = 9p. The area of the larger circle is 4 × 9p = 36p.
Therefore, r2 = 36, so r = √36 = 6. The radius of the larger circle is 6.
A cardboard box has a length of 3 feet, height of 2½ feet, and depth of 2 feet. If the length and depth are
doubled, by what percent does the volume of the box change? - CORRECT ANSWER 300%
B. The volume of the original box is ?. The volume of the box with the length and depth doubled is ?. The
amount of change in volume is 60 - 15 = 45. The percent change is the amount of change in volume
divided by the original volume:
On a map, 1 centimeter represents 4 miles. A distance of 10 miles would be how far apart on the map? -
CORRECT ANSWER C. 2½ centimeters
C. The proportion ? models this situation. Cross multiply. 1 × 10 = 4x, so 10 = 4x and ?.
Davis donates 4/13 of his paycheck to his favorite charity. If he donates $26.80, what is the amount of
his paycheck? - CORRECT ANSWER $87.10
C. Let p represent the amount of the paycheck. 4/13p? = , so ?.
Rachel ran ½ mile in 4 minutes. At this rate, how many miles can she run in 15 minutes? - CORRECT
ANSWER 1 7/8
A. The proportion ? models this situation. Cross multiply. ?, so ? and x = ? miles.
