Grade 7 · Math

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 - Building Confidence

NameDate

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

With the arrow × 4 beside both columns. Milo bikes 3 miles in 1/4 hour, passing one very relaxed duck. The table's next row is × 4. How many miles go with 1 hour?
With the arrow × 3 beside both columns. Tala reads 12 pages of a mystery in 1/3 hour and never peeks at the ending. The table's next row is × 3. How many pages go with 1 hour?
Read this first
Use the table
minutes blocks
6 15
8 20
14 35
Ren rides a scooter at a steady speed and waves at every dog. The table shows minutes and city blocks. How many blocks go with 1 minute?
Bo bakes cookies for the school bake sale. The table shows batches and cups of flour. How many cups of flour go with 1 batch?
Luz's lemonade rule is y = x ÷ 4, where x is cups of water and y is cups of lemon juice. How many cups of lemon juice go with 1 cup of water?
Kira walks to the park at a steady pace. The rule y = x ÷ 20 gives the miles y after x minutes. How many miles does Kira walk in 1 minute?
Esme's class printer prints 6 pages in 1/4 minute, then beeps very proudly. How many pages does it print in 1 minute?
Ren's leaky faucet drips 1/8 cup of water in 1/2 hour. A bucket catches every drop. How much water drips in 1 hour, in cups?
Noah fills a bucket from the garden hose to wash a very sandy bike. The double number line shows minutes and gallons. How many gallons go with 1 minute?
Luz prints the class newsletter at a steady speed. The double number line shows minutes and pages. How many pages go with 1 minute?

minutes	blocks
6	15
8	20
14	35

7th grade How much for 1? (constant of proportionality) worksheet – printable — Print: 1 2 3 4 5 6

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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