ASVAB Study GuideArithmetic Reasoning Practice Test 11
Tap an answer to check it instantly and read the explanation. 11 questions: 3 easy, 4 medium and 4 hard.
-
Question 1 easy
Liam bought $$2 \frac{1}{4}$$ pounds of apples, 1.5 pounds of grapes, and $$3 \frac{3}{4}$$ pounds of bananas. How many pounds of fruit did Liam buy?
Show answer & explanation
Correct answer: A — 7.5
Convert the fractions to decimals: $$2 \frac{1}{4} = 2.25$$ and $$3 \frac{3}{4} = 3.75$$. Add the weights together: $$2.25 + 1.5 + 3.75 = 7.5$$ pounds.
-
Question 2 easy
Emma had a $100 department store gift card. She bought three shirts, each costing $19.99, and a belt priced at $15. What amount was left on her gift card after these purchases?
Show answer & explanation
Correct answer: A — $25.03
First, calculate the total cost of the three shirts: 3 × $19.99 = $59.97. Next, add the price of the belt: $59.97 + $15.00 = $74.97. Finally, subtract the total spent from the gift card value: $100.00 - $74.97 = $25.03.
-
Question 3 easy
A pet shop has a total of 50 fish. If 64% of these fish are goldfish, how many of the fish are not goldfish?
Show answer & explanation
Correct answer: B — 18
If 64% are goldfish, then the percentage of fish that are not goldfish is $$100\% - 64\% = 36\%$$. To find the exact number, calculate 36% of 50: $$0.36 \times 50 = 18$$ fish.
-
Question 4 medium
The online course Lucas is taking has a total of 320 video lectures. He has already watched 140 lectures. If he continues watching at a rate of 12 lectures per week, how many weeks will it take him to complete the course?
Show answer & explanation
Correct answer: A — 15 weeks
First, find the number of lectures remaining: $$320 - 140 = 180$$ lectures. Next, divide the remaining lectures by his weekly rate: $$\frac{180}{12} = 15$$ weeks.
-
Question 5 medium
A freight train, which is 1.5 miles long, travels at a constant speed of 45 miles per hour and enters a bridge that is also 1.5 miles long. From the moment the front of the train enters the bridge until the moment the back of the train completely leaves the bridge, how many minutes elapse?
Show answer & explanation
Correct answer: C — 4
For the entire train to clear the bridge, the front of the train must travel the length of the bridge plus the full length of the train itself. Total distance = 1.5 miles (bridge) + 1.5 miles (train) = 3 miles. At 45 mph, the time required in hours is $$\frac{3}{45} = \frac{1}{15}$$ hour. Convert hours to minutes: $$(\frac{1}{15}) \times 60 = 4$$ minutes.
-
Question 6 medium
Oranges are being sold at a price of 12 for $4.20. What is the individual cost of one orange?
Show answer & explanation
Correct answer: B — 35 cents
To find the cost of one orange, divide the total price by the number of oranges: $$\frac{4.20}{12} = 0.35$$. Since $0.35 is equivalent to 35 cents, the individual cost of one orange is 35 cents.
-
Question 7 medium
Maya purchased school supplies consisting of a backpack costing $45.50, textbooks priced at $89.95, and stationery for $12.75. What was the total cost of her purchases?
Show answer & explanation
Correct answer: A — $148.20
To find the total cost, add the prices of all items purchased: $45.50 + $89.95 + $12.75 = $148.20.
-
Question 8 hard
A public library system has four branches (North, South, East, and West). The North and South branches each have 120 computers, the East branch has 85 computers, and the West branch has 95 computers. What is the mean number of computers per branch in this library system?
Show answer & explanation
Correct answer: C — 105 computers
First, find the total number of computers by adding the counts for all four branches. Note that North and South each have 120: $$120 + 120 + 85 + 95 = 420$$ computers. Next, find the mean (average) by dividing the total by the number of branches $$(4)$$: $$\frac{420}{4} = 105$$ computers.
-
Question 9 hard
A taxi ride costs $3.50 for the first mile. For each mile beyond the first, the cost is $1.75 per mile. What is the total cost for a 12-mile taxi ride?
Show answer & explanation
Correct answer: A — $22.75
The first mile costs $3.50. There are 11 remaining miles $$(12 - 1 = 11)$$ that cost $1.75 each. Calculate the cost of the additional miles: 11 × $1.75 = $19.25. Add this to the base cost of the first mile: $3.50 + $19.25 = $22.75.
-
Question 10 hard
Sarah played two rounds of golf with scores of 82 and 76. Her friend Jessica, who was relatively new to the game, scored 94 and 88. What is Sarah's average score?
Show answer & explanation
Correct answer: C — 79
The question asks for Sarah's average score. Jessica's scores are irrelevant distractors. To find Sarah's average, add her two scores and divide by 2: $$\frac{(82 + 76)}{2} = \frac{158}{2} = 79$$
-
Question 11 hard
Leo paid for a $7.35 book using only the coins he had in his jar. If his coins consisted of 18 quarters, 22 dimes, 15 nickels, and 18 pennies, how much money did he have remaining after buying the book?
Show answer & explanation
Correct answer: A — $0.28
First, calculate the total value of Leo's coins:
- Quarters: 18 × $0.25 = $4.50
- Dimes: 22 × $0.10 = $2.20
- Nickels: 15 × $0.05 = $0.75
- Pennies: 18 × $0.01 = $0.18
Total coin value = $4.50 + $2.20 + $0.75 + $0.18 = $7.63.
Subtract the cost of the book to find the remaining money: $7.63 - $7.35 = $0.28.