7th Grade Unit Rates with Fractions Test with Point Values (PDF)

7th Grade math test: Unit Rates with Fractions – Maths PDF

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This grade 7 unit rates test for 7th Grade covers unit rates with fractions (Common Core 7.RP.A.1), with a free PDF to print.

This 45-minute test checks unit rates when the quantities are fractions, including speeds, prices, and comparing rates (Common Core 7.RP.A.1). It has 9 questions worth 20 points in all. Show your work, because most questions give partial credit for correct steps.

Time and points

About this test

Grade: Grade 7
Chapter: Unit Rates with Fractions
Standards: 7.RP.A.1
Time: 45 minutes
Total: 20 points

Grade 7 unit rates test: questions

Question 1 – Walking rate [2 pts]

Diego walks $\frac{3}{4}$ mile in $\frac{1}{3}$ hour. Find his speed in miles per hour.

Question 2 – Better price [2 pts]

Pack A holds 18 pencils and costs $4.50. Pack B holds 30 pencils and costs $7.20. Find each unit price in dollars per pencil. Tell which pack is the better buy.

Question 3 – Double number line [2 pts]

A drone flies at a steady speed.

Find the speed of the drone in miles per hour. (1 point)
Find the distance the drone flies in $2\frac{1}{2}$ hours. (1 point)

Question 4 – Hours per page [2 pts]

Ethan reads $\frac{2}{3}$ of a chapter in $\frac{1}{2}$ hour. Find the number of hours he needs for one whole chapter.

Question 5 – Complex fraction [2 pts]

Simplify the complex fraction $\frac{\frac{5}{6}}{\frac{2}{3}}$ and explain what it means as a rate if the numerator is cups of flour and the denominator is batches.

Question 6 – Complete the table [2 pts]

Pay at a car wash.

Complete the table so that the pay is proportional to the time. Show the unit rate.

Question 7 – Compare speeds [2 pts]

A turtle goes $\frac{3}{8}$ foot in $\frac{1}{4}$ minute. A lizard goes $\frac{5}{12}$ foot in $\frac{1}{3}$ minute. Find which animal is faster and by how much.

Question 8 – Trip average [3 pts]

Priya bikes 6 miles in $\frac{1}{2}$ hour. She rests, then bikes $4\frac{1}{2}$ miles in $\frac{3}{4}$ hour. Find (a) her speed in each part and (b) her average speed for the 2 parts together.

Question 9 – Faucet [3 pts]

A faucet fills 1/3 gallon every 1/4 minute.

Find the number of gallons per minute. (1 point)
At this rate, find how many gallons flow in 6 minutes. (1 point)
At this rate, find how many minutes it takes to fill a 20-gallon tub. (1 point)

Key facts behind this grade 7 unit rates test

Key facts

A unit rate has 1 as its second quantity, such as 2 miles per 1 hour.
With fractions, write a complex fraction and divide: $a/b \div c/d = a/b \times d/c$.
Dividing by a fraction means multiplying by its reciprocal.
Compare rates by finding each unit rate: a lower unit price is the better buy, and a higher speed is faster.
Every rate has two unit rates, and they are reciprocals of each other.

How to use this grade 7 unit rates test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 7 chapters: Grade 7 math.

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