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

A package of 8 batteries costs $9.92. At this same rate, what would be the cost of 5 batteries?

$1.24
$6.15
$6.20
$9.60
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ACCUPLACER Arithmetic Quiz

ACCUPLACER Arithmetic Quiz: Decimal Operations

Practice Decimal 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 Decimal 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 package of 8 batteries costs $9.92. At this same rate, what would be the cost of 5 batteries?

  1. $1.24
  2. $6.15
  3. $6.20 (correct answer)
  4. $9.60
Explanation: First, find the cost of a single battery (the unit price) by dividing the total cost by the number of batteries: $9.92 ÷ 8 = $1.24 per battery. Then, multiply the unit price by the desired number of batteries: $1.24 × 5 = $6.20.

Question 2

A large container holds 40.5 liters of a solution. A pharmacist needs to fill smaller bottles that each hold 0.75 liters. How many small bottles can be completely filled from the container?

  1. 5
  2. 30
  3. 54 (correct answer)
  4. 540
Explanation: To find the number of bottles that can be filled, divide the total volume of the solution by the volume of one small bottle: 40.5 ÷ 0.75. This calculation is equivalent to 4050 ÷ 75, which equals 54. Since the result is a whole number, exactly 54 bottles can be completely filled.

Question 3

A pipe leaks 0.15 liters of water every hour. If the leak is not fixed, how many liters of water will be lost in a full day (24 hours)?

  1. 0.36
  2. 3.6 (correct answer)
  3. 36
  4. 160
Explanation: To find the total amount of water lost in a full day, multiply the hourly leakage rate by the number of hours in a day: 0.15 liters/hour × 24 hours = 3.6 liters.

Question 4

What is the product of 0.25 and 0.08?

  1. 0.002
  2. 0.02 (correct answer)
  3. 0.2
  4. 2.0
Explanation: To multiply 0.25 by 0.08, first multiply the numbers without decimals: 25 × 8 = 200. Then, count the total number of decimal places in the original numbers (two in 0.25 and two in 0.08, for a total of four). Place the decimal point four places from the right in the product: 0.0200, which simplifies to 0.02.

Question 5

A clothing store is having a sale where all items are marked down 35% from the original price, and then an additional $12.50 is deducted at checkout. If a jacket's final price after both discounts is $67.25, what was the original price?

  1. $122.69 (correct answer)
  2. $132.69
  3. $112.69
  4. $142.69
Explanation: Work backwards from the final price. Before the $12.50 deduction: $67.25 + $12.50 = $79.75. This $79.75 represents 65% of the original price (since 35% was marked down). Set up equation: 0.65x = $79.75. Solve: x = $79.75 ÷ 0.65 = 122.69.ChoiceB(122.69. Choice B (132.69) might result from using 0.75 instead of 0.65. Choice C (112.69)mightresultfromcalculationerrors.ChoiceD(112.69) might result from calculation errors. Choice D (142.69) might result from using 0.55 instead of 0.65.

Question 6

A swimming pool is being filled at a rate of 45.8 gallons per minute. At the same time, water is being drained at a rate of 12.3 gallons per minute for cleaning purposes. If the pool currently contains 1,247.5 gallons and needs to reach 2,850.0 gallons, how long will it take to fill?

  1. 47.8 minutes (correct answer)
  2. 48.2 minutes
  3. 47.4 minutes
  4. 48.6 minutes
Explanation: Net filling rate: 45.8 - 12.3 = 33.5 gallons per minute. Amount needed: 2,850.0 - 1,247.5 = 1,602.5 gallons. Time required: 1,602.5 ÷ 33.5 = 47.84 minutes, which rounds to 47.8 minutes. Choice B (48.2) might result from calculation errors. Choice C (47.4) might result from rounding errors. Choice D (48.6) might result from using the wrong net rate.

Question 7

An employee earns $14.50 per hour and works 38.5 hours in one week. What are the employee's total gross earnings for the week?

  1. $53.00
  2. $532.00
  3. $558.25 (correct answer)
  4. $5,582.50
Explanation: To find the total gross earnings, multiply the hourly wage by the number of hours worked: $14.50 × 38.5 = $558.25.

Question 8

A rectangular garden has a length of 5.4 meters and a width of 3.5 meters. What is the area of the garden in square meters?

  1. 8.9
  2. 17.8
  3. 18.9 (correct answer)
  4. 189
Explanation: The area of a rectangle is calculated by multiplying its length by its width. Area = 5.4 meters × 3.5 meters = 18.9 square meters.

Question 9

A customer buys 3 notebooks at $2.25 each and a pen for $1.50. If the customer pays with a $10 bill, how much change should they receive?

  1. $1.75 (correct answer)
  2. $3.25
  3. $4.75
  4. $8.25
Explanation: First, calculate the total cost of the notebooks: 3 × $2.25 = $6.75. Next, add the cost of the pen to find the total purchase price: $6.75 + $1.50 = $8.25. Finally, subtract the total cost from the payment to find the change: $10.00 - $8.25 = $1.75.

Question 10

A runner's times for four laps were 55.2 seconds, 56.1 seconds, 54.9 seconds, and 55.4 seconds. What was the average lap time in seconds?

  1. 55.25
  2. 55.3
  3. 55.4 (correct answer)
  4. 55.65
Explanation: To find the average, first sum the four lap times: 55.2 + 56.1 + 54.9 + 55.4 = 221.6 seconds. Then, divide the total time by the number of laps: 221.6 ÷ 4 = 55.4 seconds.

Question 11

What is the value of the expression 12.5−2×4.2512.5 - 2 \times 4.25?

  1. 4.0 (correct answer)
  2. 4.25
  3. 21.0
  4. 44.625
Explanation: According to the order of operations, multiplication should be performed before subtraction. First, calculate the product: 2 × 4.25 = 8.5. Then, perform the subtraction: 12.5 - 8.5 = 4.0.

Question 12

A roll of fabric contains 25 meters. A piece measuring 8.75 meters is cut from it, and then another piece measuring 5.5 meters is cut. How much fabric is left on the roll?

  1. 10.75 meters (correct answer)
  2. 14.25 meters
  3. 16.25 meters
  4. 21.75 meters
Explanation: First, find the total amount of fabric that was cut by adding the two lengths: 8.75 + 5.5 = 14.25 meters. Then, subtract the total cut amount from the original length of the roll: 25 - 14.25 = 10.75 meters.

Question 13

A scientist needs to divide 3.75 grams of a chemical into samples of 0.15 grams each. How many samples can be created?

  1. 0.25
  2. 2.5
  3. 25 (correct answer)
  4. 250
Explanation: To find the number of samples, divide the total amount of the chemical by the amount per sample: 3.75 ÷ 0.15. This is equivalent to dividing 375 by 15, which equals 25. So, 25 samples can be created.

Question 14

Mark starts the month with $250.50 in his account. He spends $85.25 on groceries and pays two bills of $45.75 each. How much money is left in his account?

  1. $73.75 (correct answer)
  2. $74.75
  3. $119.50
  4. $176.75
Explanation: First, calculate the total cost of the two bills: 2 × $45.75 = $91.50. Next, calculate total spending by adding the groceries: $85.25 + $91.50 = $176.75. Finally, subtract the total spending from the starting balance: $250.50 - $176.75 = $73.75.

Question 15

A 1.5-liter bottle of juice costs $3.60. A 2.5-liter bottle of the same juice costs $5.50. What is the difference in the cost per liter between the two bottles?

  1. $0.20 (correct answer)
  2. $1.40
  3. $1.90
  4. $2.20
Explanation: First, find the cost per liter for each bottle. For the smaller bottle: $3.60 ÷ 1.5 liters = $2.40 per liter. For the larger bottle: $5.50 ÷ 2.5 liters = $2.20 per liter. Then, find the difference between the two unit costs: $2.40 - $2.20 = $0.20.

Question 16

A metal rod is 5 meters long. A piece of 1.875 meters is cut off. What is the length of the remaining piece?

  1. 4.875 meters
  2. 3.225 meters
  3. 4.125 meters
  4. 3.125 meters (correct answer)
Explanation: To find the length of the remaining piece, subtract the length of the cut piece from the original length of the rod. It is helpful to write 5 as 5.000 to align the decimal places: 5.000 - 1.875 = 3.125 meters.

Question 17

A developer wants to divide a 14.5-acre plot of land into 6 equal-sized lots. What is the acreage of each lot, rounded to the nearest tenth of an acre?

  1. 0.4 acres
  2. 2.4 acres (correct answer)
  3. 2.5 acres
  4. 87.0 acres
Explanation: To find the size of each lot, divide the total acreage by the number of lots: 14.5 ÷ 6 ≈ 2.4166... acres. To round to the nearest tenth, look at the hundredths digit (1). Since it is less than 5, round down to 2.4 acres.

Question 18

The price of a shirt is $24.50. The sales tax is 6% (or 0.06). What is the total cost of the shirt, including tax?

  1. $1.47
  2. $24.56
  3. $25.97 (correct answer)
  4. $39.20
Explanation: First, calculate the amount of sales tax by multiplying the price by the tax rate: $24.50 × 0.06 = $1.47. Then, add the tax to the original price to find the total cost: $24.50 + $1.47 = $25.97.

Question 19

A piece of wood is 6.5 feet long. If 1 foot is approximately 0.305 meters, what is the length of the wood in meters, rounded to the nearest hundredth?

  1. 1.98 (correct answer)
  2. 1.99
  3. 19.83
  4. 21.31
Explanation: To convert the length from feet to meters, multiply the length in feet by the conversion factor: 6.5 × 0.305 = 1.9825 meters. The question asks to round to the nearest hundredth. Since the digit in the thousandths place is 2, we round down. The length is approximately 1.98 meters.

Question 20

The total weight of three packages is 15.2 kilograms. If the first package weighs 4.75 kilograms and the second weighs 6.5 kilograms, what is the weight of the third package?

  1. 11.25 kg
  2. 4.95 kg
  3. 10.45 kg
  4. 3.95 kg (correct answer)
Explanation: First, add the weights of the two known packages: 4.75 + 6.5 = 11.25 kg. Then, subtract this sum from the total weight to find the weight of the third package: 15.2 - 11.25 = 3.95 kg.