6th Grade Unit Rates and Rate Language Test with Point Values (PDF)

6th Grade math test: Unit Rates and Rate Language – Maths PDF

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This grade 6 unit rates test for 6th Grade covers unit rates and rate language (Common Core 6.RP.A.2, 6.RP.A.3b), with a free PDF to print.

This 45-minute test has 9 questions worth 20 points. It covers unit rates, unit prices, speed, tables, fraction rates, and better-buy decisions from Common Core 6.RP.A.2 and 6.RP.A.3b. Show your work.

Time and points

About this test

Grade: Grade 6
Chapter: Unit Rates and Rate Language
Standards: 6.RP.A.2, 6.RP.A.3b
Time: 45 minutes
Total: 20 points

Grade 6 unit rates test: questions

Question 1 – Unit rate [2 pts]

Maya paid $14.40 for 6 pounds of grapes. Find the cost per pound.

Question 2 – Speed [2 pts]

A truck driving at a constant speed.

A truck drives 195 miles in 3 hours. Find its speed in miles per hour.

Question 3 – Using a unit rate [2 pts]

A printer prints 18 pages per minute. Find the number of pages it prints in 12 minutes.

Question 4 – Better buy [2 pts]

A 16-ounce bottle of juice costs $2.88. A 24-ounce bottle costs $3.84. Decide which bottle is the better buy. Show the unit prices.

Question 5 – Fraction rate [2 pts]

A snail crawls $\frac{1}{2}$ foot in $\frac{1}{4}$ hour. Find its speed in feet per hour.

Question 6 – Table of a rate [2 pts]

Cost of cups of smoothie mix.

The table shows the cost of cups of smoothie mix. Find the cost of 1 cup and the cost of 11 cups.

Question 7 – Compare paces [2 pts]

Noah bikes 18 miles in 1.5 hours. Ethan bikes 26 miles in 2 hours. Decide who bikes faster.

Question 8 – Shopping plan [3 pts]

A bake sale needs 30 eggs. Eggs cost $3.60 for 12. Find the cost per egg, then the cost of 30 eggs, then the change from a $20 bill.

Question 9 – Road trip [3 pts]

Dad drives the same distance each hour.

On a road trip, Dad drives 270 miles in 5 hours at a constant speed. Find the speed. Then find how many hours the trip takes if the whole trip is 702 miles at that speed.

Key facts behind this grade 6 unit rates test

Key facts

A unit rate has 1 in the second quantity, such as miles per 1 hour.
Divide the first quantity by the second to find a unit rate.
The word per means for each one.
The lower unit price is the better buy when units match.
Distance = rate x time at a constant speed.

How to use this grade 6 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 6 chapters: Grade 6 math.

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