Praxis Math Quiz: Convert Measurement Units
20 questions · exam conditions
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Convert Measurement UnitsQuestion 1 of 20

A laboratory experiment requires 150 milligrams of a chemical for each of 20 samples. If the chemical is sold in 5-gram containers, what is the minimum number of containers that must be purchased?

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Praxis Math Quiz

Praxis Math Quiz: Convert Measurement Units

Practice Convert Measurement Units in Praxis Math 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 Convert Measurement Units, giving you a quick way to practice the rules, question types, and explanations that matter most for Praxis Math.

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 laboratory experiment requires 150 milligrams of a chemical for each of 20 samples. If the chemical is sold in 5-gram containers, what is the minimum number of containers that must be purchased?

  1. 1 (correct answer)
  2. 2
  3. 3
  4. 6
Explanation: First, calculate the total amount of chemical needed: 150 mg/sample × 20 samples = 3,000 mg. Next, convert this total from milligrams to grams, knowing that 1 gram = 1,000 milligrams: 3,000 mg / (1,000 mg/gram) = 3 grams. Since the chemical is sold in 5-gram containers and only 3 grams are needed, one container is sufficient.

Question 2

A construction project is estimated to require 2,500 person-hours to complete. If a team of 8 people works on the project for 40 hours per week each, how many full weeks will it take to complete the project?

  1. 7
  2. 8 (correct answer)
  3. 63
  4. 313
Explanation: First, calculate the total person-hours the team works per week: 8 people × 40 hours/person = 320 person-hours per week. Next, divide the total required person-hours by the team's weekly output: 2,500 person-hours / 320 person-hours/week ≈ 7.8125 weeks. Since the project must be completed, it will take the entirety of the 8th week. Therefore, 8 full weeks are required.

Question 3

A roll of fabric is 25 yards long. A dressmaker needs to cut pieces that are each 75 centimeters long to make sashes. How many full sashes can be cut from the roll? (1 yard = 36 inches; 1 inch = 2.54 cm)

  1. 12
  2. 30 (correct answer)
  3. 31
  4. 83
Explanation: First, find the total length of the fabric in centimeters. Convert yards to inches: 25 yards × 36 inches/yard = 900 inches. Then convert inches to centimeters: 900 inches × 2.54 cm/inch = 2,286 cm. Now, divide the total length by the length needed per sash: 2,286 cm / 75 cm/sash ≈ 30.48 sashes. Since only full sashes can be made, the dressmaker can cut 30 sashes.

Question 4

A baker uses 10 fluid ounces of flour to make one batch of bread. How many full batches of bread can be made from a 5-pound bag of flour? (1 cup of flour weighs approx. 4.25 ounces by weight; 1 cup = 8 fluid ounces)

  1. 13
  2. 15 (correct answer)
  3. 18
  4. 22
Explanation: This question requires converting between weight and volume. First, find the total weight of flour in ounces: 5 pounds × 16 ounces/pound = 80 ounces (weight). Next, convert the required fluid ounces of flour to weight ounces. 10 fl oz is 10/8 = 1.25 cups. The weight of flour needed per batch is 1.25 cups × 4.25 ounces/cup = 5.3125 ounces (weight). Finally, divide the total flour available by the flour needed per batch: 80 ounces / 5.3125 ounces/batch ≈ 15.05 batches. The baker can make 15 full batches.

Question 5

An aquarium tank in the shape of a rectangular prism is 90 cm long, 50 cm wide, and 60 cm high. If the tank is filled with water, what is the mass of the water in kilograms? (1 L of water has a mass of 1 kg; 1 L = 1,000 cm³)

  1. 27 kg
  2. 2,700 kg
  3. 270 kg (correct answer)
  4. 27,000 kg
Explanation: First, calculate the volume of the tank in cubic centimeters: Volume = 90 cm × 50 cm × 60 cm = 270,000 cm³. Next, convert the volume from cubic centimeters to liters: 270,000 cm³ / 1,000 cm³/L = 270 L. Since 1 liter of water has a mass of 1 kilogram, the mass of the water is 270 kilograms.

Question 6

A rope is 50 meters long. Pieces of the rope measuring 2 feet 6 inches are cut from it. How many full pieces can be cut from the rope? (1 meter ≈ 3.28 feet)

  1. 20
  2. 65 (correct answer)
  3. 100
  4. 200
Explanation: First, convert all measurements to a single unit, such as feet. The length of the rope is 50 meters × 3.28 feet/meter = 164 feet. The length of each piece to be cut is 2 feet 6 inches. Since 6 inches is 0.5 feet, each piece is 2.5 feet long. Finally, divide the total length of the rope by the length of one piece: 164 feet / 2.5 feet/piece = 65.6 pieces. Since only full pieces can be cut, the answer is 65.

Question 7

A box contains 2 gross of pencils. A school district buys 30 of these boxes. If the pencils are to be distributed equally among 720 students, how many pencils will each student receive? (1 gross = 144 items)

  1. 6
  2. 10
  3. 12 (correct answer)
  4. 24
Explanation: First, calculate the total number of pencils. Pencils per box: 2 gross/box × 144 pencils/gross = 288 pencils/box. Total pencils: 288 pencils/box × 30 boxes = 8,640 pencils. Finally, divide the total number of pencils by the number of students: 8,640 pencils / 720 students = 12 pencils per student.

Question 8

A cookie recipe calls for 8 fluid ounces of milk. A baker has a 1-liter bottle of milk. Approximately how many full recipes can the baker make with this bottle? (1 liter ≈ 33.8 fluid ounces)

  1. 3
  2. 4 (correct answer)
  3. 5
  4. 270
Explanation: First, use the given conversion to find the total amount of milk available in fluid ounces: 1 liter is approximately 33.8 fluid ounces. Next, divide the total amount of milk by the amount required per recipe: 33.8 fl oz / 8 fl oz/recipe ≈ 4.225 recipes. Since the question asks for the number of full recipes, we must truncate the decimal, meaning the baker can make 4 full recipes.

Question 9

A landscaper needs to order 5 cubic yards of soil for a garden bed. The soil is delivered in bags containing 2.5 cubic feet each. How many bags must be ordered?

  1. 6
  2. 18
  3. 54 (correct answer)
  4. 135
Explanation: First, convert the total soil needed from cubic yards to cubic feet. Since 1 yard = 3 feet, 1 cubic yard = (3 feet)³ = 27 cubic feet. Total soil needed: 5 cubic yards × 27 cubic feet/yard = 135 cubic feet. Next, divide the total cubic feet needed by the volume per bag: 135 cubic feet / 2.5 cubic feet/bag = 54 bags.

Question 10

A high-speed train travels at 320 kilometers per hour. How many meters does the train travel in 15 seconds?

  1. 1,333 meters (correct answer)
  2. 80,000 meters
  3. 4,800 meters
  4. 19,200 meters
Explanation: First, convert the speed from kilometers per hour to meters per second. 1 km = 1000 m and 1 hour = 3600 seconds. Speed = (320 km/hr) × (1000 m/km) / (3600 s/hr) = 320,000 / 3,600 m/s ≈ 88.89 m/s. Now, calculate the distance traveled in 15 seconds: Distance = Speed × Time = 88.89 m/s × 15 s ≈ 1,333 meters.

Question 11

A rectangular plot of land is 0.5 miles long and 440 yards wide. What is the area of the plot in acres? (1 mile = 1,760 yards; 1 acre = 4,840 square yards)

  1. 40 acres
  2. 80 acres (correct answer)
  3. 220 acres
  4. 387,200 acres
Explanation: First, make the units consistent. Convert the length from miles to yards: 0.5 miles × 1,760 yards/mile = 880 yards. Next, calculate the area in square yards: Area = length × width = 880 yards × 440 yards = 387,200 square yards. Finally, convert the area from square yards to acres: 387,200 sq yards / 4,840 sq yards/acre = 80 acres.

Question 12

A pharmacist measures out 70,875 milligrams of a powdered supplement. How many ounces is this measurement? (1 gram = 1,000 milligrams; 1 kilogram ≈ 2.2 pounds; 1 pound = 16 ounces)

  1. 0.25 ounces
  2. 2.5 ounces (correct answer)
  3. 25 ounces
  4. 250 ounces
Explanation: This requires a chain of conversions from the metric to the customary system. First, convert milligrams to grams: 70,875 mg / 1000 mg/g = 70.875 g. An alternative is to convert 1 ounce to milligrams first: 1 oz = (1/16) lb ≈ (1/16) / 2.2 kg ≈ 0.0284 kg = 28.4 g = 28,400 mg. Then, 70,875 mg / (28,400 mg/oz) ≈ 2.5 ounces. For precision: 1 ounce ≈ 28.35 grams. 70.875 g / 28.35 g/oz = 2.5 ounces.

Question 13

The density of water is approximately 1 gram per cubic centimeter (g/cm³). What is the density of water in kilograms per cubic meter (kg/m³)?

  1. 0.1 kg/m³
  2. 100 kg/m³
  3. 1,000 kg/m³ (correct answer)
  4. 10,000 kg/m³
Explanation: This requires converting both the mass and volume units. First, the mass: 1 gram = 0.001 kilograms. Second, the volume: 1 meter = 100 centimeters, so 1 cubic meter = (100 cm)³ = 1,000,000 cm³. The conversion is: (1 g / 1 cm³) × (1 kg / 1000 g) × (1,000,000 cm³ / 1 m³) = 1,000,000 / 1000 kg/m³ = 1,000 kg/m³.

Question 14

A European car has a fuel efficiency of 15 kilometers per liter. What is its approximate fuel efficiency in miles per gallon (mpg)? (1 mile ≈ 1.61 km; 1 gallon ≈ 3.785 liters)

  1. 2.5 mpg
  2. 6.4 mpg
  3. 35.3 mpg (correct answer)
  4. 91.3 mpg
Explanation: Start with the rate 15 km/L. To convert the numerator (distance), divide by the conversion factor: 15 km / 1.61 km/mile ≈ 9.317 miles. This gives a rate of 9.317 miles per liter. To convert the denominator (volume) from 'per liter' to 'per gallon', multiply by the number of liters in a gallon: 9.317 miles/L × 3.785 L/gallon ≈ 35.3 miles/gallon.

Question 15

A swimming pool is being filled at a rate of 500 gallons per hour. How many quarts per minute is this filling rate? (1 gallon = 4 quarts)

  1. 8.3 quarts per minute
  2. 33.3 quarts per minute (correct answer)
  3. 125 quarts per minute
  4. 2000 quarts per minute
Explanation: This requires converting both volume and time. First, convert gallons to quarts: 500 gallons/hour × 4 quarts/gallon = 2,000 quarts/hour. Next, convert the rate from 'per hour' to 'per minute' by dividing by 60 minutes/hour: 2,000 quarts/hour / 60 minutes/hour ≈ 33.3 quarts per minute.

Question 16

A garden hose has a diameter of 5/8 inch. Which of the following lengths is closest to this diameter? (1 inch = 2.54 centimeters; 1 centimeter = 10 millimeters)

  1. 1.6 millimeters
  2. 16 millimeters (correct answer)
  3. 160 millimeters
  4. 1.6 centimeters
Explanation: First, convert the fraction to a decimal: 5/8 = 0.625 inches. Next, convert inches to centimeters: 0.625 inches × 2.54 cm/inch ≈ 1.5875 cm. Finally, convert centimeters to millimeters: 1.5875 cm × 10 mm/cm = 15.875 mm. The closest value among the choices is 16 millimeters.

Question 17

A package weighing 3.5 kilograms is shipped internationally. If the shipping cost is based on weight in pounds, what is the weight of the package in pounds and ounces? (1 kg ≈ 2.2 lbs; 1 lb = 16 oz)

  1. 7 pounds, 0 ounces
  2. 7 pounds, 7 ounces
  3. 7 pounds, 11 ounces (correct answer)
  4. 8 pounds, 1 ounce
Explanation: First, convert kilograms to pounds: 3.5 kg × 2.2 lbs/kg = 7.7 lbs. The weight is 7 full pounds with a remainder of 0.7 pounds. Convert the remainder to ounces: 0.7 lbs × 16 oz/lb = 11.2 ounces. Thus, the weight is approximately 7 pounds, 11 ounces.

Question 18

A temperature reading is 25° Celsius. To convert Celsius to Fahrenheit, the formula is F = (9/5)C + 32. A change of 1° Celsius is equivalent to a change of how many degrees Fahrenheit?

  1. 1.6° F
  2. 1.8° F (correct answer)
  3. 33.8° F
  4. 77° F
Explanation: This question tests the understanding of a conversion formula as a rate of change, not just a single conversion. The formula F = (9/5)C + 32 is a linear equation. The coefficient (9/5) represents the rate of change, which equals 1.8. This means that for every 1-unit increase in C, F increases by 1.8. Therefore, a change of 1° Celsius is equivalent to a change of 1.8° Fahrenheit.

Question 19

A bottle contains 750 milliliters of wine. A restaurant serves this wine in glasses that hold 1.5 deciliters. How many full glasses can be served from one bottle?

  1. 5 (correct answer)
  2. 50
  3. 500
  4. 0.5
Explanation: This problem involves converting between metric units of volume. First, make the units consistent. We know that 1 deciliter (dL) = 100 milliliters (mL). Convert the glass size to milliliters: 1.5 dL × 100 mL/dL = 150 mL. Now, divide the total volume of wine in the bottle by the volume of one glass: 750 mL / 150 mL/glass = 5 glasses.

Question 20

A rectangular room has an area of 162 square feet. If carpeting is sold by the square yard, how many square yards of carpet are needed to cover the floor?

  1. 18 (correct answer)
  2. 54
  3. 486
  4. 1458
Explanation: To convert square feet to square yards, one must know the relationship between feet and yards. Since 1 yard = 3 feet, it follows that 1 square yard = (3 feet) × (3 feet) = 9 square feet. To find the area in square yards, divide the area in square feet by 9: 162 square feet / 9 square feet per square yard = 18 square yards.