ACCUPLACER Arithmetic Quiz: Whole Number Operations
20 questions · exam conditions
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Whole Number OperationsQuestion 1 of 20

A customer orders 5 T-shirts at a price of $14 each and 3 pairs of socks at $4 each. There is a flat shipping fee of $7 for the entire order. What is the total cost of the order?

$82
$89
$96
$138
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ACCUPLACER Arithmetic Quiz

ACCUPLACER Arithmetic Quiz: Whole Number Operations

Practice Whole Number Operations in ACCUPLACER Arithmetic with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Whole Number Operations, giving you a quick way to practice the rules, question types, and explanations that matter most for ACCUPLACER Arithmetic.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

A customer orders 5 T-shirts at a price of $14 each and 3 pairs of socks at $4 each. There is a flat shipping fee of $7 for the entire order. What is the total cost of the order?

  1. $82
  2. $89 (correct answer)
  3. $96
  4. $138
Explanation: First, calculate the cost of the T-shirts: 5 \times \14 = $70.Next,calculatethecostofthesocks:. Next, calculate the cost of the socks: 3 \times $4 = $12.Addthesecoststogetthesubtotal:. Add these costs to get the subtotal: $70 + $12 = $82.Finally,addtheshippingfeetothesubtotaltofindthetotalcost:. Finally, add the shipping fee to the subtotal to find the total cost: $82 + $7 = $89$.

Question 2

A parking garage charges $8 for the first hour and $5 for each additional hour. If someone pays $73 total, how many hours did they park?

  1. 13 hours total
  2. 14 hours total (correct answer)
  3. 15 hours total
  4. 16 hours total
Explanation: After paying $8 for the first hour, the remaining cost is $73 - $8 = $65. This $65 covers additional hours at $5 each: $65 ÷ $5 = 13 additional hours. Total parking time: 1 + 13 = 14 hours. Choice A counts only the additional hours. Choice C incorrectly adds an extra hour. Choice D results from calculation errors in the division step.

Question 3

A school is ordering supplies. They need 1,247 pencils total. Pencils come in boxes of 25, and boxes come in cases of 8 boxes each. What is the minimum number of cases they must order?

  1. 6 cases with some pencils left over
  2. 7 cases with some pencils left over (correct answer)
  3. 7 cases with no pencils left over
  4. 8 cases with some pencils left over
Explanation: Each case contains 8 × 25 = 200 pencils. To get 1,247 pencils: 1,247 ÷ 200 = 6.235, so they need 7 cases minimum. 7 cases = 7 × 200 = 1,400 pencils, which is more than needed, so there will be pencils left over. Choice A (6 cases = 1,200 pencils) is insufficient. Choice C incorrectly suggests exactly the right amount. Choice D overestimates the requirement.

Question 4

A family starts a road trip with a budget of $2,500. They spend $450 on hotels, $375 on food, and $180 on fuel. They also bought souvenirs for $95. How much of their budget is remaining?

  1. $1,100
  2. $1,400 (correct answer)
  3. $1,500
  4. $2,405
Explanation: First, calculate the total amount spent by adding all the expenses: \450 + $375 + $180 + $95 = $1,100.Next,subtractthetotalexpensesfromtheinitialbudgettofindtheremainingamount:. Next, subtract the total expenses from the initial budget to find the remaining amount: $2,500 - $1,100 = $1,400$.

Question 5

A school is taking 140 students on a field trip. Each bus can hold a maximum of 30 students. If each bus costs $120 to rent, what is the total cost to rent enough buses for all the students?

  1. $480
  2. $560
  3. $600 (correct answer)
  4. $720
Explanation: First, determine the number of buses needed. Divide the total number of students by the capacity of each bus: 140÷30=4140 \div 30 = 4 with a remainder of 20. Since there are 20 students remaining, a fifth bus is required. Therefore, 5 buses are needed. Next, calculate the total cost by multiplying the number of buses by the cost per bus: 5 \times \120 = $600$.

Question 6

What is the value of the expression 1,500−4×120+801,500 - 4 \times 120 + 80?

  1. 700
  2. 940
  3. 1,100 (correct answer)
  4. 1,200
Explanation: Following the order of operations, perform multiplication before addition and subtraction. First, calculate 4×120=4804 \times 120 = 480. The expression becomes 1,500−480+801,500 - 480 + 80. Now, perform the operations from left to right. First subtract: 1,500−480=1,0201,500 - 480 = 1,020. Then add: 1,020+80=1,1001,020 + 80 = 1,100.

Question 7

A student's scores on four tests were 88, 92, 85, and 91. To achieve an average score of 90 across five tests, what must the student score on the fifth test?

  1. 89
  2. 90
  3. 94 (correct answer)
  4. 96
Explanation: First, find the total score needed for an average of 90 over five tests: 90×5=45090 \times 5 = 450. Next, find the sum of the scores on the first four tests: 88+92+85+91=35688 + 92 + 85 + 91 = 356. Finally, subtract the current total from the desired total to find the score needed on the fifth test: 450−356=94450 - 356 = 94.

Question 8

A warehouse employee can pack 18 boxes per hour. A new automated machine can pack 70 boxes per hour. In a single 8-hour shift, how many more boxes does the machine pack than the employee?

  1. 52
  2. 416 (correct answer)
  3. 560
  4. 704
Explanation: First, calculate the total boxes packed by the employee: 18×8=14418 \times 8 = 144. Next, calculate the total boxes packed by the machine: 70×8=56070 \times 8 = 560. Finally, find the difference between the machine's output and the employee's output: 560−144=416560 - 144 = 416.

Question 9

Three friends collected aluminum cans. Maria collected 135 cans, Sam collected 98, and Chloe collected 112. They decided to combine their cans and bundle them in packs of 25. After making as many full bundles as possible, how many cans were left over?

  1. 10
  2. 13
  3. 20 (correct answer)
  4. 25
Explanation: First, find the total number of cans collected: 135+98+112=345135 + 98 + 112 = 345. Next, divide the total by the pack size to find how many full bundles can be made and what the remainder is: 345÷25345 \div 25. Since 25×13=32525 \times 13 = 325, there are 13 full bundles. The number of cans left over is the remainder: 345−325=20345 - 325 = 20.

Question 10

Printer A can print 480 pages in 8 minutes. Printer B can print 630 pages in 9 minutes. What is the difference in the number of pages printed per minute between the two printers?

  1. 10 (correct answer)
  2. 15
  3. 130
  4. 150
Explanation: First, find the printing rate for each printer in pages per minute. Printer A's rate is 480÷8=60480 \div 8 = 60 pages per minute. Printer B's rate is 630÷9=70630 \div 9 = 70 pages per minute. Next, find the difference between their rates: 70−60=1070 - 60 = 10 pages per minute.

Question 11

An elevator has a maximum capacity of 1,500 pounds. A delivery person who weighs 180 pounds needs to move boxes that each weigh 60 pounds. What is the maximum number of boxes the person can take in one trip?

  1. 22 (correct answer)
  2. 23
  3. 25
  4. 28
Explanation: First, subtract the delivery person's weight from the elevator's maximum capacity to find the available capacity for boxes: 1,500−180=1,3201,500 - 180 = 1,320 pounds. Next, divide the available capacity by the weight of a single box to find the maximum number of boxes: 1,320÷60=221,320 \div 60 = 22. The person can take a maximum of 22 boxes.

Question 12

A water tank holding 4,000 gallons is draining at a rate of 8 gallons per minute. At the same time, a pump is adding water at a rate of 3 gallons per minute. How many gallons of water will be in the tank after 2 hours?

  1. 2,680
  2. 3,040
  3. 3,400 (correct answer)
  4. 3,990
Explanation: First, find the net rate of change in water volume. Since it's draining faster than it's filling, the net change is a loss: 8−3=58 - 3 = 5 gallons per minute. Next, convert the time from hours to minutes: 2 hours×60 minutes/hour=1202 \text{ hours} \times 60 \text{ minutes/hour} = 120 minutes. Then, calculate the total water lost over that time: 5 gallons/minute×120 minutes=6005 \text{ gallons/minute} \times 120 \text{ minutes} = 600 gallons. Finally, subtract the total loss from the initial amount: 4,000−600=3,4004,000 - 600 = 3,400 gallons.

Question 13

A florist has 850 roses. She wants to make bouquets with 12 roses in each. After making as many full bouquets as possible, how many roses will she have left over?

  1. 2
  2. 10 (correct answer)
  3. 12
  4. 70
Explanation: This problem asks for the remainder of a division. Divide the total number of roses by the number of roses per bouquet: 850÷12850 \div 12. We can calculate that 12×70=84012 \times 70 = 840. The difference between the total roses and the roses used is 850−840=10850 - 840 = 10. Therefore, 10 roses will be left over.

Question 14

A baker uses 6 ounces of chocolate chips for each batch of cookies. A wholesale box contains 4 pounds of chocolate chips. If one pound is equal to 16 ounces, how many full batches of cookies can the baker make from one box?

  1. 10 (correct answer)
  2. 11
  3. 24
  4. 64
Explanation: First, convert the total weight of chocolate chips from pounds to ounces. Since 1 pound = 16 ounces, the box contains 4 pounds×16 ounces/pound=644 \text{ pounds} \times 16 \text{ ounces/pound} = 64 ounces. Next, divide the total number of ounces by the amount needed per batch: 64÷664 \div 6. This equals 10 with a remainder of 4. Since the question asks for the number of full batches, the answer is 10.

Question 15

A rectangular park measures 200 feet long by 150 feet wide. Inside the park, a square playground is built that is 40 feet on each side. What is the area of the park that is NOT covered by the playground?

  1. 1,600 sq ft
  2. 28,400 sq ft (correct answer)
  3. 29,840 sq ft
  4. 31,600 sq ft
Explanation: First, calculate the total area of the park: 200 ft×150 ft=30,000200 \text{ ft} \times 150 \text{ ft} = 30,000 square feet. Next, calculate the area of the square playground: 40 ft×40 ft=1,60040 \text{ ft} \times 40 \text{ ft} = 1,600 square feet. To find the area not covered by the playground, subtract the playground's area from the park's total area: 30,000−1,600=28,40030,000 - 1,600 = 28,400 square feet.

Question 16

An auditorium has 1,200 seats, which are arranged into 3 sections. The first section has 450 seats. The other two sections have an equal number of seats. How many seats are in one of those two sections?

  1. 375 (correct answer)
  2. 400
  3. 600
  4. 750
Explanation: First, subtract the seats in the first section from the total number of seats to find how many seats are in the other two sections combined: 1,200−450=7501,200 - 450 = 750. Since these 750 seats are divided equally between two sections, divide by 2: 750÷2=375750 \div 2 = 375. Each of the other two sections has 375 seats.

Question 17

A factory produces widgets in batches. If each batch contains 144 widgets and the factory produces 23 batches per day, how many complete cases of 48 widgets each can be filled in 5 days?

  1. 345 complete cases (correct answer)
  2. 346 complete cases
  3. 347 complete cases
  4. 348 complete cases
Explanation: First, find widgets per day: 144 × 23 = 3,312 widgets. In 5 days: 3,312 × 5 = 16,560 widgets. Number of complete cases: 16,560 ÷ 48 = 345 complete cases. Choice B incorrectly adds 1 assuming partial cases count. Choice C results from miscalculating 144 × 23 as 3,320. Choice D comes from rounding up the division result.

Question 18

A delivery truck makes stops at regular intervals. It travels 2,856 miles total and makes a stop every 42 miles, including stops at the beginning and end of the route. How many stops does the truck make?

  1. 67 stops total
  2. 68 stops total
  3. 69 stops total (correct answer)
  4. 70 stops total
Explanation: The truck travels 2,856 miles with stops every 42 miles. Number of intervals: 2,856 ÷ 42 = 68 intervals. Since there are stops at both the beginning and end, the number of stops is 68 + 1 = 69 stops. Choice A forgets to add the final stop. Choice B counts only intervals, not stops. Choice D incorrectly adds 2 to the number of intervals.

Question 19

A company produces items in cycles. In each cycle, they make 156 items in the first week, 234 items in the second week, and 178 items in the third week. After completing 7 full cycles, how many items have they produced in total?

  1. 3,976 items total (correct answer)
  2. 3,982 items total
  3. 3,988 items total
  4. 3,996 items total
Explanation: Items per cycle: 156 + 234 + 178 = 568 items. Total after 7 cycles: 568 × 7 = 3,976 items. The other choices result from addition errors in calculating items per cycle (B: using 569 per cycle, C: using 570 per cycle, D: using 571 per cycle).

Question 20

A store sells notebooks in packs of 12. If they have 2,847 individual notebooks in stock and want to know how many complete packs they can make, with some notebooks possibly left over, what is the result?

  1. 238 complete packs with 5 notebooks remaining
  2. 237 complete packs with 7 notebooks remaining
  3. 238 complete packs with 1 notebook remaining
  4. 237 complete packs with 3 notebooks remaining (correct answer)
Explanation: When you encounter a problem asking for "complete packs" with items "left over," you're dealing with division with remainders. The key is understanding that division tells you both how many whole groups you can make and what's left ungrouped. To find how many complete packs of 12 notebooks can be made from 2,847 individual notebooks, you need to divide: 2847÷122847 \div 12. Let's work through this step by step. 12×237=284412 \times 237 = 2844, and 12×238=285612 \times 238 = 2856. Since 2,856 is greater than 2,847, you can only make 237 complete packs. To find the remainder, subtract: 2847−2844=32847 - 2844 = 3 notebooks left over. Therefore, the store can make 237 complete packs with 3 notebooks remaining. Looking at the wrong answers: Choice A gives 238 packs, but 238×12=2856238 \times 12 = 2856, which exceeds the available 2,847 notebooks—you can't make more packs than you have materials for. Choice B has the correct number of packs (237) but claims 7 notebooks remain; this would mean 237×12+7=2851237 \times 12 + 7 = 2851 total notebooks, which is more than available. Choice C also uses 238 packs (impossible) and would require 238×12+1=2857238 \times 12 + 1 = 2857 notebooks total. Study tip: In division word problems involving "complete groups" or "packs," always verify your answer by multiplying back: (number of groups × group size) + remainder should equal your starting amount.