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7th grade How much for 1? (constant of proportionality) worksheet

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How much for 1? (constant of proportionality)

Grade 7 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. Kira's hose fills a 5-gallon bucket in 1/2 minute, which is 10 gallons per minute. How many minutes does 1 gallon take?

  2. Pia paints a garden fence: 1/6 gallon covers 5/6 of it, which is 5 fences per gallon. How many gallons does 1 whole fence need?

  3. Read this first

    Use the table

    hoursmiles
    1/25
    220
    330
  4. Noah logs a long bike-trail day at a steady speed. The table shows hours and miles. What is the constant of proportionality, in miles per hour?

  5. Jun's school printer runs at a steady speed and hums a little tune. The table shows minutes and pages. What is the constant of proportionality, in pages per minute?

  6. Zee rides in a kids' bike race at a steady speed. The graph shows hours and miles. What is the constant of proportionality, in miles per hour?

  7. Light snow dusts Bo's snowman at a steady rate. The graph shows hours and inches of snow. What is the constant of proportionality, in inches per hour?

  8. Ari fills watering cans from a garden circle for the class garden. The graph shows minutes and gallons. What is the constant of proportionality, in gallons per minute?

  9. Pia walks 2/5 mile in 1/8 hour around the park while counting dogs. What is the constant of proportionality, in miles per hour?

  10. Esme catches a slow roof drip in a bucket after a storm. The double number line shows hours and cups of water. What is the constant of proportionality, in cups per hour?

  11. Bo trains for a bike race on a flat road. The double number line shows hours and miles. What is the constant of proportionality, in miles per hour?

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7th grade How much for 1? (constant of proportionality) worksheet – printable
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About this worksheet

How much for 1? (constant of proportionality). Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the amount for 1 (the constant of proportionality) from a table, a graph, a double number line, a rule like y = 3x ÷ 4 or x = 8y ÷ 5, or a story.
  • I can do it when the amounts are fractions: 1/2 mile in 1/4 hour is 2 miles per hour.
  • I can tell "miles for 1 hour" from "hours for 1 mile", and I know the two multiply to 1.

Standard: 7.RP.A.2b

Words to know

proportional: Two amounts that grow together: double one, and the other doubles too.

constant of proportionality: The amount of the second thing for exactly 1 of the first. Schools call it k.

the 1 row: The table row whose first number is 1. Its second number is the constant.

rule (equation): A way to get y from x, like y = 3x ÷ 4.

across / up: On a graph: the first number of a point goes across, the second goes up.

Common mistakes

Your child divided the right two numbers but the wrong way round, for example hours for 1 mile instead of miles for 1 hour.

Your child multiplied the two amounts.

Your child gave an amount from the table, graph or story instead of the amount for exactly 1.

What to say

Ask: which thing are we finding the amount for exactly 1 of?

Ask: if 1/2 mile takes 1/4 hour, does a whole hour go farther or less far than 1/2 mile?

Ask: is that the amount for 1, or for the amount we were told about?

Questions parents ask

What is the most common mistake with how much for 1? (constant of proportionality)?

Your child divided the right two numbers but the wrong way round, for example hours for 1 mile instead of miles for 1 hour.

How can I help my child with how much for 1? (constant of proportionality)?

Ask: which thing are we finding the amount for exactly 1 of?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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