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Grade 6operationsOriginal practice

Ratios, Unit Rates & Proportional Reasoning

Understand ratio concepts, calculate unit rates, and solve authentic proportional reasoning word problems with step-by-step solutions.

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Sheet 4634C4BD · questions and answers share this ID
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About this practice

Grade 6 · math · Matching answer key included · US Letter and A4

US Letter practice PDF ↓ · Answer PDF ↓A4 practice PDF ↓ · Answer PDF ↓
Preview the original practiceRatios, Unit Rates & Proportional Reasoning: first student practice page

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Teaching guide, sample answers and curriculum references

Before you begin

Compare quantities using multiplication and division.

How to use this worksheet

  1. Model the target skill: understand the concept of a unit rate a/b associated with a ratio a:b. Use the first task as a guided example before asking for an independent response.
  2. Check readiness first: Compare quantities using multiplication and division.
  3. Discuss an incorrect response using this distinction: An equivalent ratio scales both quantities by the same factor; adding the same number to both generally fails.

A common mistake to discuss

An equivalent ratio scales both quantities by the same factor; adding the same number to both generally fails.

What to practice next

Use a ratio table to explain a proportional relationship and include the rate's units.

Sample question and answer

A hybrid car travels 288 miles on 8 gallons of fuel. What is the unit rate of distance per gallon of fuel?

  • A. 32 miles per gallon
  • B. 36 miles per gallon
  • C. 42 miles per gallon
  • D. 28 miles per gallon

Answer: B. Unit rate = 288 miles ÷ 8 gallons = 36 miles per gallon.

Intended curriculum references: CCSS.MATH.CONTENT.6.RP.A.2 · CCSS.MATH.CONTENT.6.RP.A.3. These references describe learning goals; they are not endorsements.

Published 2026-10-02; updated 2026-10-02. Original MakeWorksheet practice. Automated consistency checks support publication; independent subject-specialist review is not recorded. Read our editorial policy.

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