ACCUPLACER Arithmetic Quiz: Estimating Whole Number Results
20 questions · exam conditions
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Estimating Whole Number ResultsQuestion 1 of 20

A restaurant served 2,912 customers in a 7-day week. On average, approximately how many customers were served each day?

300
400
500
600
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ACCUPLACER Arithmetic Quiz

ACCUPLACER Arithmetic Quiz: Estimating Whole Number Results

Practice Estimating Whole Number Results 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 Estimating Whole Number Results, 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 restaurant served 2,912 customers in a 7-day week. On average, approximately how many customers were served each day?

  1. 300
  2. 400 (correct answer)
  3. 500
  4. 600
Explanation: To find the approximate daily average, divide the total customers by the number of days. It is difficult to divide 2,912 by 7. Round 2,912 to a nearby number that is easily divisible by 7, such as 2,800. The estimated average is 2,800÷7=4002,800 \div 7 = 400. The actual average is 2,912÷7≈4162,912 \div 7 \approx 416, so 400 is a very good estimate.

Question 2

A company manufactures 295 boxes of pens each day. Each box contains 144 pens. Which of the following is the best estimate for the total number of pens manufactured in one day?

  1. 30,000
  2. 36,000
  3. 42,000 (correct answer)
  4. 48,000
Explanation: To estimate the total number of pens, round the numbers to make the calculation easier. Round 295 up to 300 and round 144 down to 140. Then multiply the rounded numbers: 300×140=42,000300 \times 140 = 42,000. The actual answer is 295×144=42,480295 \times 144 = 42,480, so 42,000 is a very close estimate.

Question 3

A school is planning a field trip for 489 students. The cost for each student is $28 for the bus and $19 for admission. Which of the following is the most reasonable estimate for the total cost of the field trip?

  1. $15,000
  2. $20,000
  3. $25,000 (correct answer)
  4. $30,000
Explanation: First, estimate the cost per student by rounding: $28 is about $30, and $19 is about $20. The total estimated cost per student is $30 + $20 = $50. Next, round the number of students from 489 to 500. Finally, multiply the estimated number of students by the estimated cost per student: 500 \times \50 = $25,000$.

Question 4

A warehouse receives a shipment of 198 crates, and each crate contains 52 boxes. If 1,120 boxes are immediately shipped out, what is the best estimate of the number of boxes remaining in the warehouse?

  1. 8,900 (correct answer)
  2. 9,200
  3. 10,300
  4. 11,400
Explanation: This is a two-step problem. First, estimate the total number of boxes received. Round 198 crates up to 200 and 52 boxes down to 50. The estimated total is 200×50=10,000200 \times 50 = 10,000 boxes. Second, estimate the number of boxes shipped out by rounding 1,120 down to 1,100. Subtract the shipped boxes from the total: 10,000−1,100=8,90010,000 - 1,100 = 8,900.

Question 5

A runner aims to complete a 42,195-meter race. She runs at an average pace of 198 meters per minute. What is the most reasonable estimate for the total time, in minutes, it will take her to finish the race?

  1. 150
  2. 210 (correct answer)
  3. 280
  4. 420
Explanation: To estimate the time, divide the distance by the pace. Round the distance 42,195 meters down to 42,000 meters. Round the pace 198 meters per minute up to 200 meters per minute. The estimated time is 42,000÷20042,000 \div 200. This simplifies to 420÷2=210420 \div 2 = 210 minutes.

Question 6

A stadium has a capacity of 62,350 people. For a major event, 48,910 tickets were sold in advance and another 7,880 were sold at the gate. Approximately how many seats remained empty?

  1. 5,000 (correct answer)
  2. 13,000
  3. 57,000
  4. 65,000
Explanation: First, estimate the total number of tickets sold. Round 48,910 up to 49,000 and 7,880 up to 8,000. The estimated total sold is 49,000+8,000=57,00049,000 + 8,000 = 57,000. Next, estimate the stadium's capacity by rounding 62,350 down to 62,000. Finally, subtract the estimated tickets sold from the estimated capacity: 62,000−57,000=5,00062,000 - 57,000 = 5,000. Approximately 5,000 seats remained empty.

Question 7

A pipeline can transport 195 gallons of oil per minute. What is the best estimate for the number of gallons it can transport in a full 24-hour day? (Note: There are 60 minutes in an hour).

  1. 12,000
  2. 150,000
  3. 280,000 (correct answer)
  4. 350,000
Explanation: This is a multi-step problem. First, estimate the gallons per hour. Round 195 gallons/minute to 200. Multiply by 60 minutes/hour: 200×60=12,000200 \times 60 = 12,000 gallons per hour. Second, estimate the gallons per day. Multiply the hourly rate by 24 hours. 12,000×2412,000 \times 24. You can calculate this as 12×24×1000=288×1000=288,00012 \times 24 \times 1000 = 288 \times 1000 = 288,000. The closest answer choice is 280,000. The actual value is 195×60×24=280,800195 \times 60 \times 24 = 280,800.

Question 8

The estimated answer to a multiplication problem is 3,200. Which of the following calculations was most likely being estimated?

  1. 38×4138 \times 41
  2. 71×8971 \times 89
  3. 59×6359 \times 63
  4. 42×7842 \times 78 (correct answer)
Explanation: Estimate the product for each option. A) 38×41≈40×40=1,60038 \times 41 \approx 40 \times 40 = 1,600. B) 42×78≈40×80=3,20042 \times 78 \approx 40 \times 80 = 3,200. C) 59×63≈60×60=3,60059 \times 63 \approx 60 \times 60 = 3,600. D) 71×89≈70×90=6,30071 \times 89 \approx 70 \times 90 = 6,300. The calculation that results in an estimate of 3,200 is 42×7842 \times 78.

Question 9

A painter needs to cover a wall that is 19 feet tall and 88 feet long. A can of paint covers 410 square feet. What is the best estimate for the number of paint cans needed to cover the wall?

  1. 2
  2. 4 (correct answer)
  3. 6
  4. 8
Explanation: First, estimate the area of the wall. Round 19 feet to 20 feet and 88 feet to 90 feet. The estimated area is 20×90=1,80020 \times 90 = 1,800 square feet. Next, estimate the coverage per can by rounding 410 square feet to 400. Finally, divide the estimated area by the estimated coverage per can: 1,800÷400=4.51,800 \div 400 = 4.5. Since this is an estimation problem asking for the best estimate, 4 is the closest whole number to 4.5.

Question 10

A large water tank holds 35,870 gallons. If the water is drained using a pump that removes 58 gallons per minute, which calculation provides the closest estimate for the number of minutes it will take to drain the tank?

  1. 35,000÷5035,000 \div 50
  2. 35,000÷6035,000 \div 60
  3. 36,000÷5036,000 \div 50
  4. 36,000÷6036,000 \div 60 (correct answer)
Explanation: To estimate the time, round the total gallons and the rate to compatible numbers. Round 35,870 gallons up to 36,000. Round 58 gallons per minute up to 60. The division 36,000÷6036,000 \div 60 is easy to compute (3600÷6=6003600 \div 6 = 600) and provides a close estimate. The actual answer is approximately 618 minutes, making 600 a very reasonable estimation.

Question 11

A shipping company needs to estimate fuel costs for a route. The truck uses 147 gallons for the first leg, 203 gallons for the second leg, and 89 gallons for the return trip. If fuel costs $4.23 per gallon and they make this trip 52 times per year, approximately how much will they spend on fuel annually?

  1. $95,000 (correct answer)
  2. $105,000
  3. $115,000
  4. $125,000
Explanation: First estimate total gallons per trip: 147 + 203 + 89 = 439 ≈ 440 gallons. Cost per trip: 440 × $4.23 ≈ 440 × $4.25 = $1,870. Annual cost: $1,870 × 52 ≈ $1,900 × 50 = 95,000.ChoiceBoverestimatesgallons(480−500range).ChoiceCoverestimatesfuelprice(95,000. Choice B overestimates gallons (480-500 range). Choice C overestimates fuel price (4.50+ range). Choice D compounds both overestimations.

Question 12

A restaurant chain is calculating weekly food costs across all locations. Location A spends $3,847 per week, Location B spends $5,234 per week, Location C spends $2,156 per week, and Location D spends $4,891 per week. To estimate their monthly food costs (4 weeks), which calculation is most reasonable?

  1. $16,000 × 4 = $64,000 (correct answer)
  2. $15,000 × 4 = $60,000
  3. $17,000 × 4 = $68,000
  4. $18,000 × 4 = $72,000
Explanation: When you encounter estimation problems involving multiple values, start by finding the total of all given amounts, then round strategically to make calculations manageable. First, let's add up the weekly costs for all locations: $3,847 + $5,234 + $2,156 + $4,891 = $16,128. To estimate monthly costs, you multiply this weekly total by 4 weeks: $16,128 × 4 = $64,512. Now compare this exact answer to the given options. Choice A estimates the weekly total as $16,000, giving $16,000 × 4 = $64,000. This is remarkably close to our precise calculation of $64,512 – only off by about $500, making it the most reasonable estimate. Choice B ($15,000 × 4 = $60,000) underestimates the weekly total by over $1,100, resulting in a monthly estimate that's too low by more than 4,000.ChoiceC(4,000. Choice C (17,000 × 4 = $68,000) overestimates by rounding the weekly total up nearly 900,creatinganinflatedmonthlyfigure.ChoiceD(900, creating an inflated monthly figure. Choice D (18,000 × 4 = $72,000) represents the largest error, overestimating the weekly costs by almost $2,000 and the monthly total by over $7,000. For estimation problems on the Accuplacer, calculate the exact answer first when possible, then identify which rounded calculation produces the closest result. Don't automatically choose the middle option – the "most reasonable" estimate is the one that minimizes error, not necessarily the one that seems moderate.

Question 13

A manufacturing plant calculates monthly labor costs. Shift 1 employs 247 workers at $23.50 per hour for 168 hours, Shift 2 employs 189 workers at $25.75 per hour for 168 hours, and Shift 3 employs 156 workers at $27.25 per hour for 168 hours. What is the best estimate of total monthly labor costs?

  1. $2,200,000
  2. $2,400,000
  3. $2,600,000 (correct answer)
  4. $2,800,000
Explanation: Estimate each shift for 168 ≈ 170 hours: Shift 1: 247 ≈ 250 workers × $23.50 ≈ $24 × 170 = $1,020,000; Shift 2: 189 ≈ 190 workers × $25.75 ≈ $26 × 170 = $838,200; Shift 3: 156 ≈ 160 workers × $27.25 ≈ $27 × 170 = $734,400. Total: $1,020,000 + $838,200 + $734,400 = $2,592,600 ≈ $2,600,000. Choice A underestimates hours or wages significantly. Choice B underestimates worker counts. Choice D overestimates wages to $30+ per hour.

Question 14

A factory produces widgets in batches. Machine A produces 2,847 widgets per hour, Machine B produces 3,156 widgets per hour, and Machine C produces 1,923 widgets per hour. If all machines run for 7 hours, approximately how many widgets will be produced?

  1. 48,000 widgets
  2. 54,000 widgets
  3. 62,000 widgets
  4. 56,000 widgets (correct answer)
Explanation: This is a multi-step word problem that tests your ability to calculate total production across multiple machines and time periods, then use estimation skills to identify the closest answer. First, find each machine's total production over 7 hours by multiplying hourly rates by time: Machine A produces 2,847×7=19,9292,847 × 7 = 19,929 widgets, Machine B produces 3,156×7=22,0923,156 × 7 = 22,092 widgets, and Machine C produces 1,923×7=13,4611,923 × 7 = 13,461 widgets. Adding these together: 19,929+22,092+13,461=55,48219,929 + 22,092 + 13,461 = 55,482 total widgets. Since the question asks for an approximation, you need to round to the nearest thousand. 55,482 rounds to approximately 55,000, making answer choice D) 56,000 widgets the closest match. Looking at the wrong answers: A) 48,000 widgets is too low—this might result from calculation errors or forgetting to include one machine's production. B) 54,000 widgets is close but still about 1,500 widgets short of the actual total. C) 62,000 widgets significantly overshoots the mark by about 6,500 widgets, possibly from adding incorrectly or miscalculating one of the multiplication steps. When tackling multi-step production problems like this, work systematically: calculate each machine's output separately, add them together, then round appropriately. Double-check your multiplication since small errors get magnified when you're dealing with large numbers and multiple machines.

Question 15

A retail store manager estimates quarterly inventory costs. Department 1 orders $12,847 worth of merchandise, Department 2 orders $8,456 worth, Department 3 orders $15,234 worth, and Department 4 orders $6,789 worth. If they restock 3 times per quarter, what is the approximate total quarterly cost?

  1. $120,000
  2. $130,000 (correct answer)
  3. $140,000
  4. $150,000
Explanation: Sum initial orders: $12,847 + $8,456 + $15,234 + $6,789 = $43,326 ≈ $43,000. Quarterly cost (3 restocks): $43,000 × 3 = $129,000 ≈ $130,000. Choice A underestimates the sum (closer to $40,000). Choice C overestimates the sum (closer to $47,000). Choice D significantly overestimates, suggesting $50,000 per restock.

Question 16

A delivery service calculates daily package volume. Monday: 1,234 packages, Tuesday: 2,156 packages, Wednesday: 1,887 packages, Thursday: 2,443 packages, Friday: 1,956 packages. If they charge $8.75 per package, approximately how much revenue did they generate this week?

  1. $82,000
  2. $86,000 (correct answer)
  3. $90,000
  4. $94,000
Explanation: Total packages: 1,234 + 2,156 + 1,887 + 2,443 + 1,956 = 9,676 ≈ 9,700. Revenue: 9,700 × $8.75 ≈ 9,700 × $9.00 = $87,300 ≈ $86,000. Choice A underestimates by using $8.50 price or 9,500 packages. Choice C overestimates packages to 10,000. Choice D overestimates both packages and price significantly.

Question 17

A concert venue is estimating ticket revenue. They have three seating sections: Section A has 1,247 seats at $89 each, Section B has 2,156 seats at $67 each, and Section C has 987 seats at $45 each. What is the best estimate of total revenue if the venue sells out?

  1. $240,000
  2. $290,000
  3. $310,000 (correct answer)
  4. $350,000
Explanation: Estimate each section: Section A: 1,247 ≈ 1,250 seats × $89 ≈ $90 = $112,500; Section B: 2,156 ≈ 2,200 seats × $67 ≈ $70 = $154,000; Section C: 987 ≈ 1,000 seats × $45 = $45,000. Total: $112,500 + $154,000 + $45,000 = $311,500 ≈ $310,000. Choice A significantly underestimates all sections. Choice B underestimates Section B's contribution. Choice D overestimates by rounding prices up too much.

Question 18

A delivery truck travels 312 miles per day for 28 days. The driver estimates the total mileage for this period to be 12,000 miles. Is the driver's estimate reasonable?

  1. Yes, the estimate is reasonable because 300×40=12,000300 \times 40 = 12,000.
  2. Yes, the estimate is reasonable because the numbers are large.
  3. No, the estimate is too low because 300 × 30 is 9,000.
  4. No, the estimate is too high because 300 × 30 is 9,000. (correct answer)
Explanation: To check the reasonableness of the estimate, make your own estimate. Round 312 miles down to 300 and 28 days up to 30. The estimated mileage is 300×30=9,000300 \times 30 = 9,000 miles. The driver's estimate of 12,000 miles is significantly higher than this reasonable estimate of 9,000 miles. Therefore, the driver's estimate is too high.

Question 19

A business has 18 employees, each working 38 hours a week at an average wage of $21 per hour. Which of the following is the most reasonable estimate for the total weekly payroll?

  1. $8,000
  2. $14,000 (correct answer)
  3. $18,000
  4. $22,000
Explanation: To estimate the payroll, multiply the three numbers. A good strategy is to round some numbers up and some down to compensate. Round 18 employees up to 20, 38 hours up to 40, and $21 down to $20. The estimate is 20×40×20=16,00020 \times 40 \times 20 = 16,000. Another good strategy is to round 38 to 40 and 21 to 20, and keep 18: 18×40×20=720×20=14,40018 \times 40 \times 20 = 720 \times 20 = 14,400. Given the choices, $14,000 is the most reasonable estimate. The actual amount is 18 \times 38 \times 21 = \14,364$.

Question 20

Which calculation produces the best estimate for the value of 813×58813 \times 58?

  1. 800×50800 \times 50
  2. 810×60810 \times 60
  3. 810×50810 \times 50
  4. 800×60800 \times 60 (correct answer)
Explanation: The exact value of 813×58813 \times 58 is 47,154. We need to find which estimation is closest. A) 800×50=40,000800 \times 50 = 40,000. B) 800×60=48,000800 \times 60 = 48,000. C) 810×50=40,500810 \times 50 = 40,500. D) 810×60=48,600810 \times 60 = 48,600. Comparing the results to the actual value, 48,000 is the closest estimate. This shows that rounding to the nearest hundred for 813 and nearest ten for 58 provides a better result than other rounding combinations.