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Unit Rates with Fractions Test – Grade 7 Math (Printable PDF)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Grade 7 Math Tests – Mathbot, the Math Made Easy robot coach, with free printable tests for Grade 7

Looking for an unit rates with fractions test? Then this Grade 7 test on Finding Unit Rates When Quantities Are Fractions checks the whole chapter, with points for each question. This test has 8 questions worth 20 points and fits 45 minutes. No calculators are needed because the fractions are friendly. Show each step: the division, the simplification and the final answer with its unit.

Standards: 7.RP.A.1 · Level: Grade 7

Time: 45 minutes · 8 questions · Total: 20 points · Calculator: as allowed by your teacher

Question 2 Leaky Pipe (2 points)

A leaky pipe loses 710 quart of water in 38 hour. How many quarts does it lose per hour?

Question 3 Skater or Runner (3 points)

A skater travels 710 mile in 16 hour. A runner travels 12 mile in 7 minutes. Who is faster? Justify with unit rates in miles per hour.

Question 4 Cleaning a Floor Section (2 points)

A worker cleans the rectangular floor section shown in 14 hour. How many square yards does the worker clean per hour?

cleaned in 1/4 hour5/6 yard3/5 yd
Floor section for Question 4.

Question 5 Walnut Prices (3 points)

A market sells 34 pound of walnuts for $8.40.

  1. Find the price per pound. (1.5 points)
  2. Find the cost of 2 12 pounds. (1.5 points)

Question 6 Robot Speed Conversion (2 points)

A robot rolls 910 foot in 13 second. Find its speed in feet per minute.

Question 7 Filling a Tub (3 points)

A hose fills 25 of a tub in 34 minute.

filled: 2/5empty: 3/51 whole tub
The shaded part is the fraction of the tub already filled.
  1. Find the unit rate in tubs per minute. (1 point)
  2. How long to fill the whole tub from empty? (1 point)
  3. How much longer is needed to finish filling it now? (1 point)

Question 8 Constant Rate Table (3 points)

The table shows a bicycle’s distance at a constant speed.

Time (h)1/312 1/2Distance (mi)5/8??
Constant-rate table for Question 8.
  1. Find the unit rate. (1 point)
  2. Find the missing distances. (1 point)
  3. How long to travel 3 34 miles? (1 point)

View the Unit Rates With Fractions test answer key with scoring

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