Grade 9 · Algebra & functions

Unit conversion word problems (ACT) practice

Unit conversion word problems (ACT) is a grade 9 math skill aligned to Common Core standard HSN.Q.A.1. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 unit conversion word problems (act) problems our math games drill.

CCSS HSN.Q.A.110 questions in the bank
Sample questions

Try 8 for free

Question 1easy

A hiking trail segment is 55 yards long. What is the length of the segment in inches?
(Note:
11 yard =3= 3 feet and 11 foot =12= 12 inches)

Multiply by conversion factors so the old units cancel: 5yd×3ft1yd×12in1ft=180in5\,\text{yd} \times \dfrac{3\,\text{ft}}{1\,\text{yd}} \times \dfrac{12\,\text{in}}{1\,\text{ft}} = 180\,\text{in}.

Question 2easy

A film festival runs for 22 days. How many minutes long is the festival?
(Note:
11 day =24= 24 hours and 11 hour =60= 60 minutes)

Multiply by conversion factors so the old units cancel: 2days×24h1day×60min1h=2,880min2\,\text{days} \times \dfrac{24\,\text{h}}{1\,\text{day}} \times \dfrac{60\,\text{min}}{1\,\text{h}} = 2{,}880\,\text{min}.

Question 3easy

A package weighs 44 pounds. What is the weight of the package in ounces?
(Note:
11 pound =16= 16 ounces)

Multiply by a conversion factor so the old unit cancels: 4lb×16oz1lb=64oz4\,\text{lb} \times \dfrac{16\,\text{oz}}{1\,\text{lb}} = 64\,\text{oz}.

Question 4easy

A running track is 22 kilometers long. What is the length of the track in meters?
(Note:
11 kilometer =1,000= 1{,}000 meters)

Multiply by a conversion factor so the old unit cancels: 2km×1,000m1km=2,000m2\,\text{km} \times \dfrac{1{,}000\,\text{m}}{1\,\text{km}} = 2{,}000\,\text{m}.

Question 5easy

A bottle holds 33 liters of water. How many milliliters of water is that?
(Note:
11 liter =1,000= 1{,}000 milliliters)

Multiply by a conversion factor so the old unit cancels: 3L×1,000mL1L=3,000mL3\,\text{L} \times \dfrac{1{,}000\,\text{mL}}{1\,\text{L}} = 3{,}000\,\text{mL}.

Question 6medium

A cooler holds 33 gallons of juice. How many cups of juice is that?
(Note:
11 gallon =4= 4 quarts and 11 quart =4= 4 cups)

Multiply by conversion factors so the old units cancel: 3gal×4qt1gal×4cups1qt=48cups3\,\text{gal} \times \dfrac{4\,\text{qt}}{1\,\text{gal}} \times \dfrac{4\,\text{cups}}{1\,\text{qt}} = 48\,\text{cups}.

Question 7medium

A sprinter runs at a speed of 8888 feet per second. What is the sprinter's speed in miles per hour?
(Note:
11 mile =5,280= 5{,}280 feet)

Multiply by conversion factors so the old units cancel: 88fts×1mi5,280ft×3,600s1h=60mih88\,\dfrac{\text{ft}}{\text{s}} \times \dfrac{1\,\text{mi}}{5{,}280\,\text{ft}} \times \dfrac{3{,}600\,\text{s}}{1\,\text{h}} = 60\,\dfrac{\text{mi}}{\text{h}}.

Question 8medium

A drone is flying at a speed of 2020 meters per second. What is the drone's speed in kilometers per hour?
(Note:
11 kilometer =1,000= 1{,}000 meters)

Multiply by conversion factors so the old units cancel: 20ms×1km1,000m×3,600s1h=72kmh20\,\dfrac{\text{m}}{\text{s}} \times \dfrac{1\,\text{km}}{1{,}000\,\text{m}} \times \dfrac{3{,}600\,\text{s}}{1\,\text{h}} = 72\,\dfrac{\text{km}}{\text{h}}.

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