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Two-Way Tables: Grade 8 Math Test – PDF Download

    Two-Way Tables – Grade 8 math test

    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.

    Test information
    • 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.

    SnackGroupFruitChipsTotalBoys183250Girls272350Total4555100
    Snack choice by group.
    1. How many girls chose fruit? (1 point)
    2. 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.

    Trip to schoolSiblingBusWalkTotalHas sibling21?40No sibling?2640Total354580
    A two-way table with 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.

    SnackGroupFruitChipsTotalBoys183250Girls272350Total4555100
    Snack choice by group.
    1. What percent of the boys chose fruit? (1 point)
    2. What percent of the girls chose fruit? (1 point)
    3. 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.

    All homework inPlannerYesNoTotalUses planner401050No planner203050Total6040100
    Planner use and homework.
    1. Find the row relative frequencies, as percents. (2 points)
    2. 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.

    TripGradeHikingCampingTotalGrade 7153550Grade 8214970Total3684120
    Trip choice by grade.

    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.

    TripGradeWalkBusTotalGrade 7284270Grade 8322860Total6070130
    Trip to school by grade.
    1. What percent of seventh graders ride the bus? (1 point)
    2. Of the students who walk, what percent are eighth graders? Round to the nearest tenth. (1 point)

    Two-Way Tables: Grade 8 test answer key

    See every chapter on the Grade 8 math page.

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