Grade 7 · Math

7th grade Is it proportional? worksheet

6 printable versionsOn Level10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Is it proportional?

Grade 7 Math Worksheet

NameDate

Circle the best answer.

Read this first
Use the table
hours gallons
2 8
5 20
6 24
1.
Jun's rain barrel fills during a storm. The table shows hours and gallons. Is it proportional, and why?
- No: hours and gallons are different numbers
- No: hours go up by 3, then by 1
- Yes: every row has 4 gallons for 1 hour
2.
Esme starts a long book part-way through. The table shows minutes and the page number Esme is on. Is it proportional, and why?
- No: pages for 1 minute is 8/3 in row one but 11/6 in row two
- No: minutes and pages are different numbers
- Yes: pages go up by 3 every time minutes go up by 3
3.
Tala packs craft kits with beads, and one kit sparkles extra. The table shows kits and beads. Is it proportional, and why?
- Yes: rows one and two both have 4 beads for 1 kit
- Yes: kits and beads both get bigger
- No: row three has 40/9 beads for 1 kit, not 4
4.
Snow falls outside Kira's window at a steady rate, and the sled is waiting. The graph shows hours and inches of snow. Is it proportional, and why?
- No: it does not go through (1, 1)
- Yes: it is a straight line through (0, 0)
- No: the line is not flat, so the amounts keep changing
5.
Noah's sunflower was already tall when Noah began to measure it. The graph shows weeks and inches. Is it proportional, and why?
- No: the line does not go through (0, 0)
- Yes: it is a straight line
- No: it does not go through (1, 1), so the line is not steady
6.
Ari hikes a path that begins 5 miles past a lighthouse. The graph shows hours and miles from the lighthouse. Is it proportional, and why?
- No: it does not go through (1, 1), so the points are not in a line
- Yes: it is a straight line
- No: the line does not go through (0, 0)
7.
Milo's garden circle fills a watering can at a steady rate. The graph shows minutes and gallons. Is it proportional, and why?
- Yes: it is a straight line through (0, 0)
- No: it does not go through (1, 1)
- No: the line is not flat, so it cannot be a rate
8.
Jun is 6 when Pia is 10, and 8 when Pia is 12. Let x be Jun's age and y be Pia's age. Is it proportional, and why?
- No: older people grow slower
- No: the gap stays 4, but the amount for 1 changes
- Yes: always 4 years older
9.
Noah's plant is 4 inches tall on day 0 and grows 1 inch every day. Is its height proportional to the days, and why?
- Yes: it grows 1 inch every day
- No: plants grow too slowly
- No: at 0 days the plant is already 4 inches
10.
Jun's class printer prints 12 pages every 2 minutes, then hums happily. Are the pages proportional to the minutes, and why?
- No: pages and minutes are different things
- Yes: 6 pages for each minute, every time
- No: it needs a starting amount

hours	gallons
2	8
5	20
6	24

7th grade Is it proportional? worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Is it proportional?. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can tell whether a table is proportional by finding the amount for 1 in every row.
I can tell whether a graph is proportional: a straight line through (0, 0), even when I only see two points.
I can tell a steady add (+2 each time) from a steady multiply, and I know a starting amount stops it being proportional.

Standard: 7.RP.A.2a

Words to know

proportional: Two amounts where one is always the same number of times the other.

the amount for 1: How much of the second thing goes with exactly 1 of the first, in a row.

the 1 row / each row: Divide second by first in every row; proportional tables get the same answer every time.

origin, (0, 0): The graph's corner: none of the first thing goes with none of the second.

steady adding: The same amount is added each row. It looks regular but is not multiplying.

Common mistakes

Your child saw both columns go up by the same amount each row and called it proportional.

Your child checked the first row (or two) and stopped.

Your child said no because the second column grows by a different amount than the first.

What to say

Ask: in each row, how many of the second thing go with exactly 1 of the first? Is it always the same?

Ask: does the same rule still work in the last row?

Ask: if you double the first number, do you double the second? Different jumps are fine when it is multiplying.

Questions parents ask

What is the most common mistake with is it proportional??

Your child saw both columns go up by the same amount each row and called it proportional.

How can I help my child with is it proportional??

Ask: in each row, how many of the second thing go with exactly 1 of the first? Is it always the same?

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

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records