Grade 8 · Math

8th grade Two-way tables: counts and percents worksheet

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Two-way tables: counts and percents

Grade 8 Math Worksheet - Challenge Me

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Two-way table of readers
Likes drawing Does not like drawing Total
Reads comics 30 45 75
Does not read comics 10 15 25
Total 40 60 100
1.
Zee's two-way table counts readers. Is there a link between whether readers read comics and whether they like drawing?
- Yes: readers like drawing because they read comics.
- Yes: readers who do not read comics tend to like drawing more often than readers who read comics.
- Yes: more readers who read comics like drawing, 30 against 10.
- No: about the same share of each group of readers tends to like drawing.
Two-way table of students
Entered the fair Did not enter Total
Science club 12 4 16
Not in the club 36 48 84
Total 48 52 100
2.
Ari's two-way table counts students. Is there a link between whether students are in the science club and whether they entered the science fair?
- No: about the same share of each group of students tends to enter the science fair.
- Yes: students who are in the science club tend to enter the science fair more often than students who are not in the science club.
- Yes: more students who are not in the science club entered the science fair, 36 against 12.
- Yes: students entered the science fair because they are in the science club.
3.
Bo's two-way table counts students. Is there a link between whether students sing in the choir and whether they play the piano?
- Yes: students play the piano because they sing in the choir.
- Yes: students who do not sing in the choir tend to play the piano more often than students who sing in the choir.
- Yes: more students who sing in the choir play the piano, 18 against 6.
- No: about the same share of each group of students tends to play the piano.
In Jun's table, how many percentage points higher is the share who drink milk among students who bring lunch than among students who buy school lunch?
In Kira's table, how many percentage points higher is the share who brought an umbrella among students who checked the weather report than among students who did not check it?
In Luz's table, how many percentage points higher is the share who like salad among students who help in the school garden than among students who do not help in the garden?
Milo asked 80 club members: 50 have a pet, and 30 of them like hiking. Of the rest, 12 like hiking. How many of the rest do not like hiking?
Noah asked 90 students: 40 are in the science club, and 25 of them entered the science fair. Of the rest, 20 entered the science fair. How many of the rest did not enter?
ready to fill in. Pia asked 120 visitors: 70 flew a kite, and 45 of them stayed for the picnic. Of the rest, 30 stayed for the picnic. How many of the rest left early?
Ren asked 60 club members: 24 play the guitar, and 18 of them like to sing. Of the rest, 14 like to sing. How many of the rest do not like to sing?

	Likes drawing	Does not like drawing	Total
Reads comics	30	45	75
Does not read comics	10	15	25
Total	40	60	100

	Entered the fair	Did not enter	Total
Science club	12	4	16
Not in the club	36	48	84
Total	48	52	100

8th grade Two-way tables: counts and percents worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Two-way tables: counts and percents. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can read a cell, find a row or column total, and fill in a missing cell or a whole table from a description.
I can find a row percent or a column percent, using the total of the group the question names.
I can say whether two things tend to go together by comparing the groups' percents, never the counts, and never as a cause.

Standard: 8.SP.A.4

Words to know

two-way table: A table that sorts one group by two yes-or-no questions.

cell: One box of the table: the count for one row and one column.

row total / column total: All the cells across one row / down one column added.

relative frequency: A count as a share of a total, often as a percent.

row percent: A cell as a percent of its row's total.

association: Two answers tend to go together; one group's share is clearly bigger.

Common mistakes

Your child read the row total instead of one cell. Put one finger on the row and one on the column together; the answer is the cell where they meet.

Your child read a cell in the right row but the wrong column. Point to the column heading together before reading the number.

Your child added the numbers down a column instead of across the row. A row total adds the cells across one row.

Questions parents ask

What is the most common mistake with two-way tables: counts and percents?

Your child read the row total instead of one cell. Put one finger on the row and one on the column together; the answer is the cell where they meet.

Are these 8th 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 8 math

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