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Unit Rates: Grade 6 Math Test – PDF Download

    Unit Rates – Grade 6 math test

    This 45-minute test covers unit rates, unit price, constant speed, and comparing prices from standards 6.RP.A.2 and 6.RP.A.3b. It has 8 questions worth 20 points in all. Show your work and include units in every answer.

    Test information
    • Grade: Grade 6
    • Chapter: Unit Rates
    • Common Core: 6.RP.A.2, 6.RP.A.3b
    • Time: 45 minutes
    • Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 3 pts; Question 5: 3 pts; Question 6: 3 pts; Question 7: 3 pts; Question 8: 2 pts)

    Question 1: Reading rate (2 points)

    Priya reads 45 pages in 90 minutes at a steady pace.

    1. Find her unit rate in pages per minute. (1 point)
    2. Find her unit rate in minutes per page. (1 point)

    Question 2: Grape prices (2 points)

    Five pounds of grapes cost $9.75.

    1. Find the price per pound. (1 point)
    2. Find the cost of 8 pounds. (1 point)

    Question 3: Highway speed (2 points)

    A bus travels 210 miles in 3.5 hours at a constant speed.

    1. Find its speed in miles per hour. (1 point)
    2. How far does it travel in 5 hours at this speed? (1 point)
    Distance (miles)Time (hours)002103.5
    The bus travels 210 miles in 3.5 hours.

    Question 4: Best buy: snacks (3 points)

    A store sells three sizes of trail mix: 18 ounces for $4.14, 24 ounces for $5.28, and 30 ounces for $6.90. Which size has the lowest price per ounce? Show the unit price of each size.

    SizeOuncesPriceA18$4.14B24$5.28C30$6.90
    Three sizes of trail mix.

    Question 5: Typing speeds (3 points)

    Ethan types 150 words in 5 minutes. Aisha types 222 words in 6 minutes. Who types faster, and by how many words per minute?

    Question 6: Hourly pay (3 points)

    Noah earns $13 per hour mowing lawns.

    1. How much does he earn in 10 hours? (1 point)
    2. How many hours must he work to earn $195? (1 point)
    3. Explain why \(\$13\) per hour and \(\$26\) for 2 hours describe the same rate. (1 point)

    Question 7: Honey jars (3 points)

    At a farmers market, a 12-ounce jar of honey costs $5.40 and a 16-ounce jar costs $6.88.

    1. Find the price per ounce of each jar. (2 points)
    2. Using the better buy, find the cost of 48 ounces of honey. (1 point)
    JarOuncesPriceSmall12$5.40Large16$6.88
    Two jars of honey.

    Question 8: Gas mileage (2 points)

    A car uses 9 gallons of gas to travel 288 miles.

    1. Find the number of miles per gallon. (1 point)
    2. How many gallons are needed to travel 400 miles at this rate? (1 point)

    Unit Rates: Grade 6 test answer key

    See every chapter on the Grade 6 math page.

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