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

NameDate

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

Read this first
Use the table
days inches
4 3
12 9
20 15
Pia's bean plant grows at a steady rate, and it has big plans. The table shows days and inches. How many inches does it grow in 1 day?
Kira reads a comic book in Spanish class at a steady pace, one new word at a time. The table shows minutes and pages. How many pages go with 1 minute?
Jun's rain barrel fills during a storm. The graph shows minutes and gallons. How many gallons go with 1 minute?
Luz's cookie rule is y = 3x ÷ 4, where x is cups of flour and y is cups of sugar. How many cups of sugar go with 1 cup of flour?
Noah's speed-walking club swings its arms a lot. Its rule y = 9x ÷ 2 gives miles y after x hours. How many miles go with 1 hour?
Milo's orange punch rule is y = 3x ÷ 5, where x is cups of punch and y is cups of orange juice. How much orange juice goes with 1 cup of punch, in cups?
Esme power-walks 2/3 mile in 1/6 hour around the park. How many miles does Esme walk in 1 hour?
Ari's pet snail crawls 1/2 inch in 2/3 minute toward a lettuce leaf. How many inches does it crawl in 1 minute?
Jun speed-walks around the lake, waving at every duck. The double number line shows hours and miles. How many miles go with 1 hour?
Light snow falls on Tala's sled at a steady rate. The double number line shows hours and inches of snow. How many inches fall in 1 hour?

days	inches
4	3
12	9
20	15

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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