Unit Rates with Fractions: Grade 7 Math Quiz – PDF Download
Answer these 10 multiple-choice questions on unit rates with fractions. Each question has one correct answer. Divide the first quantity by the second, watch the units, and read the explanation after each question to learn from mistakes.
Grade 7Common Core: 7.RP.A.1
🎯 Unit Rates with Fractions – Grade 7 math quiz
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Question 1
A runner covers \(\frac{1}{2}\) mile in \(\frac{1}{4}\) hour. What is the unit rate?
Find the miles for 1 hour.
A\(2\text{ miles per hour}\)
B\(\frac{1}{8}\text{ mile per hour}\)
C\(\frac{1}{2}\text{ mile per hour}\)
D\(4\text{ miles per hour}\)
Question 2
A recipe uses \(\frac{3}{4}\) cup of milk for \(\frac{1}{2}\) batch. How much milk is needed for 1 batch?
A\(\frac{3}{8}\text{ cup}\)
B\(\frac{2}{3}\text{ cup}\)
C\(\frac{1}{4}\text{ cup}\)
D\(1\frac{1}{2}\text{ cups}\)
Question 3
A \(\frac{1}{4}\)-pound slice of cheese costs $2.50. What is the price per pound?
Price of one slice.
A\(\$0.625\)
B\(\$5.00\)
C\(\$10.00\)
D\(\$2.25\)
Question 4
Ethan walks \(\frac{1}{2}\) mile in 10 minutes. What is his speed in miles per hour?
A\(\frac{1}{20}\text{ mile per hour}\)
B\(3\text{ miles per hour}\)
C\(5\text{ miles per hour}\)
D\(30\text{ miles per hour}\)
Question 5
Mei paints \(\frac{3}{8}\) square foot in \(\frac{1}{4}\) hour. How many square feet does she paint per hour?
The area painted in 1/4 hour.
A\(\frac{3}{32}\text{ sq ft per hour}\)
B\(\frac{2}{3}\text{ sq ft per hour}\)
C\(1\frac{1}{2}\text{ sq ft per hour}\)
D\(\frac{3}{4}\text{ sq ft per hour}\)
Question 6
Which expression gives the unit rate for \(\frac{2}{3}\) mile in \(\frac{1}{6}\) hour?
A\(\frac{2}{3}\div\frac{1}{6}\)
B\(\frac{1}{6}\div\frac{2}{3}\)
C\(\frac{2}{3}\times\frac{1}{6}\)
D\(\frac{2}{3}-\frac{1}{6}\)
Question 7
Ethan runs \(\frac{1}{3}\) mile in \(\frac{1}{9}\) hour. Diego runs \(\frac{2}{5}\) mile in \(\frac{1}{10}\) hour. Who is faster?
AEthan, by \(1\text{ mile per hour}\)
BDiego, by \(7\text{ miles per hour}\)
CDiego, by \(1\text{ mile per hour}\)
DThey run at the same speed
Question 8
Simplify the complex fraction \(\dfrac{\frac{2}{5}}{\frac{3}{10}}\).
A\(\frac{3}{4}\)
B\(\frac{3}{25}\)
C\(\frac{1}{10}\)
D\(\frac{4}{3}\)
Question 9
A snail crawls \(\frac{1}{8}\) foot in \(\frac{1}{2}\) minute. At this rate, how far does it crawl in 6 minutes?
A\(\frac{3}{4}\text{ foot}\)
B\(3\text{ feet}\)
C\(\frac{1}{24}\text{ foot}\)
D\(1\frac{1}{2}\text{ feet}\)
Question 10
A hiker walks \(1\frac{1}{2}\) miles in \(\frac{3}{4}\) hour. What is the hiker's speed?
The hike takes 3/4 hour.
A\(\frac{9}{8}\text{ miles per hour}\)
B\(2\text{ miles per hour}\)
C\(\frac{1}{2}\text{ mile per hour}\)
D\(3\text{ miles per hour}\)
🎉 Quiz complete!
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Remember:
A unit rate is the amount of one quantity per 1 unit of another quantity.
A rate with fractions is a complex fraction, and it equals the first fraction divided by the second.
Dividing by a fraction means multiplying by its reciprocal.
Convert units first when the two quantities use different units, such as minutes and hours.
Check by multiplying the unit rate by the second quantity to get the first quantity.
