Arithmetic Reasoning · Practice test 3
30 questions · 36 minutes
Answer every question, then tap Check results to see your score and the method behind each answer.
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Question 1Not answered
How many feet are there in 5 1/2 yards?
Correct answer: 16.5 feet
A yard is 3 feet, so 5.5 x 3 = 16.5 feet. The choice 66 converts to inches instead.
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Question 2Not answered
A technician needs washers that are 5/8 inch thick. If washers are stacked to fill a gap of 3 3/4 inches, how many washers are needed?
Correct answer: 6 washers
Dividing the gap by the washer thickness gives the count. 3 3/4 is 15/4, and dividing 15/4 by 5/8 means multiplying by the reciprocal: 15/4 x 8/5 = 6 washers exactly.
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Question 3Not answered
A household earns $2,800 a month. Rent takes 30 percent, food costs $420, and other expenses come to $310. How much is left?
Correct answer: $1,230
Rent is 0.30 x 2,800 = $840. Subtracting all three expenses, 840 + 420 + 310 = $1,570, leaves 2,800 - 1,570 = $1,230.
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Question 4Not answered
A cyclist rides 24 miles at 12 miles per hour, then 20 miles at 10 miles per hour. What is the average speed for the entire ride?
Correct answer: 11 miles per hour
Add the total distance and total time before dividing. The legs take 2 hours and 2 hours, so 44 miles over 4 hours gives an average of 11 miles per hour.
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Question 5Not answered
Two vehicles leave the same point in opposite directions at 45 and 55 miles per hour. How far apart are they after 3 hours?
Correct answer: 300 miles
Moving apart, the gap grows at the sum of the speeds, 100 miles per hour, so after 3 hours they are 300 miles apart. The choice 30 uses the difference, which would apply if they were travelling the same way.
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Question 6Not answered
A worker is paid $54 for 9 hours. What is the hourly rate?
Correct answer: $6.00
A rate per hour is the total divided by the hours worked, so 54 / 9 = $6.00 an hour.
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Question 7Not answered
If it takes 5 machines 12 hours to complete a production run, how long would 3 machines take running at the same rate?
Correct answer: 20 hours
Fewer machines take longer, so multiply machines by hours to get the constant total work: 5 x 12 = 60 machine-hours. Dividing by 3 machines gives 20 hours.
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Question 8Not answered
A repair shop tracked the hours needed for five separate jobs on Tuesday: 3, 5, 5, 7, and 9. Which value occurs most often?
Correct answer: 5
Look for the value that shows up more than once. Here 5 appears twice while every other value appears only once, making 5 the most frequent value, or mode.
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Question 9Not answered
A drill bit is stamped 0.375 inch. Which fractional bit size is the same measurement?
Correct answer: 3/8 inch
Convert the decimal to a fraction over a power of ten: 0.375 is 375/1000, and dividing top and bottom by 125 gives 3/8. Shop measurements are usually marked in eighths and sixteenths, so this is a conversion worth knowing on sight.
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Question 10Not answered
What is 12 percent of 850?
Correct answer: 102
Write 12 percent as 0.12 and multiply: 0.12 x 850 = 102.
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Question 11Not answered
What is the mean of 62, 75, 88, 91, and 84?
Correct answer: 80
The five values total 400, and 400 divided by 5 is 80. The choice 84 is the median rather than the mean.
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Question 12Not answered
Two partners split a payment in the ratio 5 to 2. If the payment is $63, how much does the larger share come to?
Correct answer: $45
The ratio makes 5 + 2 = 7 shares of $9 each, and the larger portion takes 5, giving $45. The smaller share of $18 makes up the rest.
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Question 13Not answered
A hallway measures 4 yards and 2 feet in length. How many inches long is the hallway?
Correct answer: 168 inches
Convert each part to inches and add. A yard is 36 inches, so 4 yards is 144 inches, and 2 feet is 24 inches. Together that is 144 + 24 = 168 inches.
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Question 14Not answered
A survey shows a bar chart of vehicle sales by month: January 40, February 55, March 65, April 50. How many more vehicles sold in March than in January?
Correct answer: 25 vehicles
Read the two bars directly from the chart and subtract. March shows 65 sales and January shows 40, so the difference is 65 - 40 = 25 vehicles.
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Question 15Not answered
A warehouse crew unloads 5 trailers holding 63 pallets each and 3 trailers holding 48 pallets each. How many pallets were unloaded?
Correct answer: 459 pallets
Handle the two trailer sizes separately before combining. Five trailers give 5 x 63 = 315 pallets and three trailers give 3 x 48 = 144 pallets, for a combined 459 pallets.
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Question 16Not answered
A hallway measures 6 yards and 1 foot in length. How many inches long is the hallway?
Correct answer: 228 inches
Convert each part to inches before adding. Six yards is 6 x 36 = 216 inches, and one foot is 12 inches, giving 216 + 12 = 228 inches.
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Question 17Not answered
A part is specified as 7/20 of a meter. Written as a percent of a meter, what is that measurement?
Correct answer: 35 percent
To turn a fraction into a percent, multiply by 100. 7/20 times 100 is 700/20, which equals 35 percent.
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Question 18Not answered
On a blueprint, 1 inch represents 4 feet. A wall measures 5 1/2 inches on the drawing. How long is the actual wall?
Correct answer: 22 feet
Each drawn inch stands for 4 real feet, so multiply the drawing measurement by the scale. That gives 5.5 x 4 = 22 feet.
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Question 19Not answered
A fleet has sedans and trucks in a ratio of 2 to 3. If there are 45 vehicles, how many are trucks?
Correct answer: 27 trucks
The ratio splits the fleet into 2 + 3 = 5 shares of 9 vehicles each, and trucks take 3 of them, so 3 x 9 = 27. The choice 18 counts the sedans.
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Question 20Not answered
Producing 240 units costs a factory $1,680 in materials. If material costs stay proportional, what would 325 units cost in materials?
Correct answer: $2,275
First find the cost per unit: 1,680 divided by 240 is $7.00 per unit. At that rate, 325 units would cost 325 x 7, which is $2,275.
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Question 21Not answered
A technician services 6 units in 4 hours. Working at the same pace, how many units are serviced in a 10 hour shift?
Correct answer: 15 units
Reduce the work to a rate per hour, then scale it up. The technician handles 6 divided by 4, or 1.5 units per hour, and 1.5 x 10 gives 15 units in a ten hour shift.
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Question 22Not answered
A shipment of 3 identical crates weighs 210 pounds. How much would a shipment of 11 of the same crates weigh?
Correct answer: 770 pounds
One crate weighs 210 divided by 3, or 70 pounds. Eleven crates at that weight come to 11 x 70 = 770 pounds.
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Question 23Not answered
A circular pool has a radius of 6 feet. Using 3.14 for pi, what area does its surface cover?
Correct answer: 113.04 square feet
Area is pi times the radius squared: 6 squared is 36, and 3.14 x 36 = 113.04 square feet. The choice 37.68 is the circumference, and 452.16 uses the diameter as the radius.
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Question 24Not answered
A printer produces 45 pages in 5 minutes. How many pages will it produce in 20 minutes?
Correct answer: 180 pages
The printer manages 45 / 5 = 9 pages a minute, so 20 minutes gives 9 x 20 = 180 pages.
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Question 25Not answered
A rectangular swimming pool measures 30 feet by 15 feet and is a uniform 4 feet deep. How many cubic feet of water does the full pool hold?
Correct answer: 1,800 cubic feet
Volume equals length times width times depth. Multiplying 30 x 15 x 4 gives 1,800 cubic feet.
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Question 26Not answered
A shift starts at 6:15 AM and runs 7 hours 45 minutes, including a 30 minute unpaid lunch break. How many minutes of paid working time are in the shift?
Correct answer: 435 minutes
Convert the shift length to minutes, then subtract the unpaid break. Seven hours 45 minutes is 465 minutes, and taking away the 30 minute lunch leaves 435 minutes of paid time.
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Question 27Not answered
A down payment of $2,250 equals 15 percent of the price of a used truck. What is the full price of the truck?
Correct answer: $15,000
The down payment is the known part and the truck's price is the unknown whole, so divide. $2,250 divided by 0.15 gives a full price of $15,000.
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Question 28Not answered
A ferry can hold 9 vehicles per crossing. What is the fewest number of crossings needed to move 68 vehicles?
Correct answer: 8 crossings
Dividing 68 by 9 gives 7 with 5 vehicles left over. Those leftover vehicles still need a crossing, so an eighth trip is required.
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Question 29Not answered
A driver covers 120 miles at 60 miles per hour, then another 120 miles at 40 miles per hour. What is the average speed for the whole trip?
Correct answer: 48 miles per hour
Average speed is total distance divided by total time, not the average of the two speeds. The legs take 2 hours and 3 hours, so 240 miles over 5 hours gives 48 miles per hour. Averaging 60 and 40 to get 50 is the common trap, because more time is spent at the slower speed.
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Question 30Not answered
A vehicle travels at 70 miles per hour for 2.5 hours. How far does it go?
Correct answer: 175 miles
Distance is rate times time, so 70 x 2.5 = 175 miles.
Your result
/ 30 correct
The ASVAB has no pass mark. Arithmetic Reasoning, Word Knowledge, Paragraph Comprehension and Mathematics Knowledge make up your AFQT percentile.