This test has nine questions worth 20 points in total and should take about 45 minutes. Show every step. Calculators are not needed. Questions cover reading and building two-way tables, relative frequencies, and deciding whether two variables are associated.
- Grade: Grade 8
- Chapter: Two-Way Tables
- Common Core: 8.SP.A.4
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 3 pts; Question 5: 3 pts; Question 6: 2 pts; Question 7: 2 pts; Question 8: 2 pts; Question 9: 2 pts)
Question 1: Read the table (2 points)
One hundred students chose a snack. The table shows the results.
- How many girls chose fruit? (1 point)
- How many students chose chips? (1 point)
Question 2: Complete the table (2 points)
Eighty students were asked whether they have a sibling and how they get to school. Fill in the two missing cells.
Question 3: Build a table (2 points)
A class has 30 students: 18 girls and 12 boys. Twelve of the girls and 7 of the boys joined the chess club. Make a two-way table of gender and chess club membership, with totals.
Question 4: Relative frequencies (3 points)
Use the snack table.
- What percent of the boys chose fruit? (1 point)
- What percent of the girls chose fruit? (1 point)
- Of the students who chose fruit, what percent are girls? (1 point)
Question 5: Planner and homework (3 points)
One hundred students were asked whether they use a planner and whether they turned in all homework last week.
- Find the row relative frequencies, as percents. (2 points)
- Describe any association between using a planner and turning in homework. (1 point)
Question 6: Association or not? (2 points)
Students chose a trip. Do these data suggest an association between grade and trip choice? Justify with relative frequencies.
Question 7: Counts or percents? (2 points)
At School A, 90 of 150 students ride the bus. At School B, 64 of 80 students ride the bus. Noah says the bus is more popular at School A because 90 is greater than 64. (a) Find the percent of riders at each school. (1 point) (b) Is Noah correct? Explain. (1 point)
Question 8: Tally the responses (2 points)
Ten students named a favorite drink. The responses (gender-drink) are: Girl-Juice, Boy-Water, Boy-Water, Girl-Water, Girl-Juice, Boy-Juice, Girl-Juice, Boy-Water, Girl-Water, Boy-Water. Organize them in a two-way table with totals.
Question 9: Choose the total (2 points)
The table shows how students get to school.
- What percent of seventh graders ride the bus? (1 point)
- Of the students who walk, what percent are eighth graders? Round to the nearest tenth. (1 point)
See every chapter on the Grade 8 math page.



