MAKE IT YOURS

A world for every learner

Choose a grade to discover its colours and creative world.

Grade 7 Constant of Proportionality Worksheet with Answers

Grade 7 (US) · Year 8 (UK) · Class 7 (India) · Math

Unit 1: Proportional RelationshipsProportionsCCSS 7.RP.A.2b

Finding k in y = kx from tables and pairs of values, and deciding whether a relationship is proportional. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

Save to PinterestJump to answer key
  • Answer keys checked by code
  • No ads, ever
  • No student accounts needed
  • Safety & privacy
Practice Sheetaethelsystems.com

Constant of Proportionality

Grade 7 · Math

Score___ / 12

Name

Class

Date

Learning goal: Proportions · CCSS 7.RP.A.2b

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

y is proportional to x. When x = 5, y = 30. What is the constant of proportionality?

Answer: 6

RememberRatios

cups flourcups milk234669812Equivalent ratios: multiply or divideboth numbers by the same number.2 : 3 = 4 : 6 = 6 : 9Unit rate = amount for 1
  1. 1

    y = 12x. Find y when x = 19.

    Answer
  2. 2

    y is proportional to x. When x = 6, y = 60. What is the constant of proportionality?

    Show your work
    Answer
  3. 3

    y = 4x. Find y when x = 10.

    Answer
  4. 4

    y is proportional to x. When x = 6, y = 72. What is the constant of proportionality?

    Show your work
    Answer
  5. 5

    y = 7x. Find y when x = 15.

    Answer
  6. 6

    In a proportional table, x = 1, 6, 9 and y = 6, 36, 54. What is k in y = kx?

    Show your work
    Answer
  7. 7

    y = 5x. Find y when x = 7.

    Answer
  8. 8

    y = 9x. Find y when x = 8.

    Answer
  9. 9

    y is proportional to x. When x = 6, y = 12. What is the constant of proportionality?

    Show your work
    Answer
  10. 10

    y is proportional to x. When x = 6, y = 18. What is the constant of proportionality?

    Show your work
    Answer
  11. 11

    In a proportional table, x = 2, 4, 10 and y = 18, 36, 90. What is k in y = kx?

    Show your work
    Answer
  12. 12

    y = 10x. Find y when x = 2.

    Answer

★ Challenge corner for fast finishers

What is the smallest positive whole number divisible by every number from 2 to 7?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/7/constant_proportionality

Answer key (click to show)
  1. 1.228
  2. 2.10
  3. 3.40
  4. 4.12
  5. 5.105
  6. 6.6
  7. 7.35
  8. 8.72
  9. 9.2
  10. 10.3
  11. 11.9
  12. 12.20
  13. ★420 (challenge corner)

Need another Constant of Proportionality worksheet?

Generate unlimited fresh versions at easy, medium or hard difficulty, each with its own answer key. Free during our launch — no card needed.

Create a free account

How to use this worksheet

  • Works well as a bell-ringer, exit ticket, homework set or quick quiz.
  • Have students self-check with the answer key, then correct their own mistakes before you review.
  • Generate a new version of the same topic for a re-test, so students can't just memorise the answers.

Related worksheets

More Grade 7 Math worksheets

Grade 7 ProportionsGrade 7 Simplifying RatiosGrade 7 Equivalent RatiosGrade 7 Unit RatesGrade 7 Ratios & Rates (Mixed)Grade 7 Scale Drawings & MapsGrade 7 Finding a Percent of a NumberGrade 7 Fraction, Decimal & Percent Conversion

Guides for teaching Constant of Proportionality

How to Solve Math Word Problems: A 4-Step MethodRead, plan, solve, check — a simple routine for any word problem, with worked examples and the keyword trap to avoid.

Can't find what you need? Tell us which worksheet to make next.

Frequently asked questions

Does this Grade 7 Constant of Proportionality worksheet come with answers?

Yes. The full answer key is on this page, and it prints on its own page after the questions. Every answer is calculated or checked by code rather than written by an AI model, so the key is always correct.

How do I print it or save it as a PDF?

Click "Download PDF" to save a ready-to-print PDF with the answer key on the last page, or click "Print" to send the worksheet and answer key straight to your printer.

Can I get a different Constant of Proportionality worksheet?

Yes. Create a free account to generate as many fresh Grade 7 Constant of Proportionality worksheets as you like, at easy, medium or hard difficulty, each with its own answer key.

Is this worksheet free?

Yes. This worksheet is free to print, and Practice Sheet is free to use during our launch with no card needed.