Arithmetic Reasoning – AFCT TEST With
Questions And Answers
A television is on sale for 20% off. If the sale price is $800, what was the original price?
- 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 - 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? -
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? - 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? - 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? - Answer - 1 7/8
A. The proportion ? models this situation. Cross multiply. ?, so ? and x = ? miles.
Tiling costs $2.89 per square foot. What is the cost to tile a kitchen whose dimensions
are 4 yards by 5 yards? - Answer - $520.20
D. There are 3 feet in a yard, so a kitchen 4 yards by 5 yards is equivalent to (4 × 3) feet
by (5 × 3) feet, or 12 feet by 15 feet. The area of the kitchen is 12 × 15 = 180 square
feet. The cost to tile is $2.89 × 180 = $520.20.
One-eighth of a bookstore's magazines are sold on a Friday. If ¼ of the remaining
magazines are sold the next day, what fractional part of the magazines remains at the
end of the second day? - Answer - 21/32
D. At the end of the first day, there are ? of the magazines remaining. ? sold the next
day. So at the end of the second day, there are ? of the magazines remaining.
Questions And Answers
A television is on sale for 20% off. If the sale price is $800, what was the original price?
- 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 - 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? -
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? - 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? - 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? - Answer - 1 7/8
A. The proportion ? models this situation. Cross multiply. ?, so ? and x = ? miles.
Tiling costs $2.89 per square foot. What is the cost to tile a kitchen whose dimensions
are 4 yards by 5 yards? - Answer - $520.20
D. There are 3 feet in a yard, so a kitchen 4 yards by 5 yards is equivalent to (4 × 3) feet
by (5 × 3) feet, or 12 feet by 15 feet. The area of the kitchen is 12 × 15 = 180 square
feet. The cost to tile is $2.89 × 180 = $520.20.
One-eighth of a bookstore's magazines are sold on a Friday. If ¼ of the remaining
magazines are sold the next day, what fractional part of the magazines remains at the
end of the second day? - Answer - 21/32
D. At the end of the first day, there are ? of the magazines remaining. ? sold the next
day. So at the end of the second day, there are ? of the magazines remaining.
