AFCT ARITHMETIC REASONING STUDY EXAM
WITH Q&A
Devin throws a football 7 1/3 yards. Carl throws it 2 1/2 times farther. How much farther
did Carl's throw travel than Devin's? - CORRECT ANSWER 11 yards
7.33x2.5= 18.3 yards farther
C. Carl's throw went 18.3 yards. The difference between the two throws
18.3- 7.33= 11 yards.
NOTE: FARTHER (DIFFERENCE BETWEEN TWO NUMBERS GIVEN)
This morning, Taryn drove 13 miles to the library and then returned home. In the
afternoon, she drove 9 miles to the movies and returned home. How much farther did
Taryn travel in the morning? - CORRECT ANSWER 8 miles
C. The total distance traveled in the morning was 13 × 2 = 26 miles. The total distance
traveled in the afternoon was 9 × 2 = 18 miles. The difference between the two
distances is 26 - 18 = 8 miles.
Heidi tallied the different car colors in the parking lot and summarized her results in a
pie chart. There are 260 cars in the lot. How many cars are either red or black? -
CORRECT ANSWER 143 WHY? WHERE DID 25 AND 35 CAME FROM???
D. The percentage of cars that are either red or black are 25% + 30% = 55%. The total
cars that are either red or black is 260 × 55% = 143.
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
WITH Q&A
Devin throws a football 7 1/3 yards. Carl throws it 2 1/2 times farther. How much farther
did Carl's throw travel than Devin's? - CORRECT ANSWER 11 yards
7.33x2.5= 18.3 yards farther
C. Carl's throw went 18.3 yards. The difference between the two throws
18.3- 7.33= 11 yards.
NOTE: FARTHER (DIFFERENCE BETWEEN TWO NUMBERS GIVEN)
This morning, Taryn drove 13 miles to the library and then returned home. In the
afternoon, she drove 9 miles to the movies and returned home. How much farther did
Taryn travel in the morning? - CORRECT ANSWER 8 miles
C. The total distance traveled in the morning was 13 × 2 = 26 miles. The total distance
traveled in the afternoon was 9 × 2 = 18 miles. The difference between the two
distances is 26 - 18 = 8 miles.
Heidi tallied the different car colors in the parking lot and summarized her results in a
pie chart. There are 260 cars in the lot. How many cars are either red or black? -
CORRECT ANSWER 143 WHY? WHERE DID 25 AND 35 CAME FROM???
D. The percentage of cars that are either red or black are 25% + 30% = 55%. The total
cars that are either red or black is 260 × 55% = 143.
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
