Grade 6 · Fractions & ratios

Custom unit conversions practice

Custom unit conversions is a grade 6 math skill aligned to Common Core standard 6.RP.A.3: use ratio and rate reasoning to solve real-world and mathematical problems. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 custom unit conversions problems our math games drill.

CCSS 6.RP.A.310 questions in the bank
Sample questions

Try 8 for free

Question 1easy

A documentary film lasts 33 hours. How many minutes long is the film? (11 hour =60= 60 minutes)

Use a conversion factor with minutes in the numerator so hours cancel: 3 hr×60 min1 hr=180 min3 \text{ hr} \times \dfrac{60 \text{ min}}{1 \text{ hr}} = 180 \text{ min}.

Question 2easy

A package of nuts weighs 112112 ounces. What is the weight in pounds? (11 pound =16= 16 ounces)

Use a conversion factor with pounds in the numerator so ounces cancel: 112 oz×1 lb16 oz=7 lb112 \text{ oz} \times \dfrac{1 \text{ lb}}{16 \text{ oz}} = 7 \text{ lb}.

Question 3easy

A tailor buys 55 yards of fabric for a project. How many inches of fabric is that? (11 yard =36= 36 inches)

Use a conversion factor with inches in the numerator so yards cancel: 5 yd×36 in1 yd=180 in5 \text{ yd} \times \dfrac{36 \text{ in}}{1 \text{ yd}} = 180 \text{ in}.

Question 4easy

A cooler holds 33 gallons of water. How many quarts is that? (11 gallon =4= 4 quarts)

Use a conversion factor with quarts in the numerator so gallons cancel: 3 gal×4 qt1 gal=12 qt3 \text{ gal} \times \dfrac{4 \text{ qt}}{1 \text{ gal}} = 12 \text{ qt}.

Question 5easy

A beetle is measured at 8080 millimeters long. What is the length in centimeters? (11 centimeter =10= 10 millimeters)

Use a conversion factor with centimeters in the numerator so millimeters cancel: 80 mm×1 cm10 mm=8 cm80 \text{ mm} \times \dfrac{1 \text{ cm}}{10 \text{ mm}} = 8 \text{ cm}.

Question 6easy

At a riding stable, a pony is measured at 1515 hands tall. How many inches tall is the pony? (11 hand =4= 4 inches)

Use a conversion factor with inches in the numerator so hands cancel: 15 hands×4 in1 hand=60 in15 \text{ hands} \times \dfrac{4 \text{ in}}{1 \text{ hand}} = 60 \text{ in}.

Question 7medium

A hiking sign lists the distance to a waterfall as 4,5004{,}500 meters. How many kilometers is that? (11 kilometer =1,000= 1{,}000 meters)

Use a conversion factor with kilometers in the numerator so meters cancel: 4,500 m×1 km1,000 m=4.5 km4{,}500 \text{ m} \times \dfrac{1 \text{ km}}{1{,}000 \text{ m}} = 4.5 \text{ km}.

Question 8medium

A patient receives 2,5002{,}500 milliliters of IV fluid. How many liters is that? (11 liter =1,000= 1{,}000 milliliters)

Use a conversion factor with liters in the numerator so milliliters cancel: 2,500 mL×1 L1,000 mL=2.5 L2{,}500 \text{ mL} \times \dfrac{1 \text{ L}}{1{,}000 \text{ mL}} = 2.5 \text{ L}.

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