VTCAP Grade 8 Statistics and Probability Practice

What the test measures

Statistics and Probability skills

Investigate patterns of association in bivariate data

Standards basis

Common Core State Standards for Mathematics (CCSS-M) — Vermont

How the VTCAP reports it

Vermont administered the Smarter Balanced summative through spring 2022, then replaced it with the Cognia-developed Vermont Comprehensive Assessment Program (VTCAP) beginning spring 2023 — this landing slug predates the switch. VTCAP mathematics is an adaptive, CCSS-M-aligned assessment in grades 3-9. It is NOT a Smarter Balanced administration: its reporting categories are groupings of the CCSS grade-level domains (e.g. 'The Number System, Expressions and Equations'), not SBAC claims, though two cross-grade Mathematical Practices indicators ('Problem Solving, Reasoning, and Argument'; 'Modeling, Patterns, and Structure') echo the old claim structure. Per the test specifications, the grades 3-8 test may assess any CCSS-M standard at the grade; the grade 9 test assesses a prioritized subset of the high school CCSS-M within the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability (the assessed focus areas are published in the grade 9 Performance Level Descriptors).

Blueprint & weighting

VTCAP Test Specifications (Spring 2026) operational test blueprint, target percent of points per grade — Grade 3: OA 24-35%, NBT 10-14%, NF 16-20%, MD 22-29%, G 6-10%, constructed-response Mathematical Practices 12%. Grade 4: OA 20-31%, NBT 16-20%, NF 20-31%, MD 12-20%, G 6-10%, practices 12%. Grade 5: OA 14-22%, NBT 14-25%, NF 22-29%, MD 20-27%, G 8-16%, practices 12%. Grade 6: RP 15-22%, NS 15-22%, EE 15-22%, G 11-19%, SP 11-19%, practices 11%. Grade 7: RP 15-22%, NS 11%, EE 15-30%, G 11-19%, SP 19-22%, practices 11%. Grade 8: F 18-29%, NS 7%, EE 20-31%, G 18-29%, SP 18-22%, practices 11%. Grade 9 (all machine-scored): Number and Quantity/Algebra 18-27%, Algebra/Functions 31-40%, Geometry 20-29%, Statistics and Probability 13-20%; the two practices indicators are dual-aligned targets of >18% of points each. Identical figures appear in the Spring 2025 specifications.

Official sources

VTCAP Test Specifications, Spring 2026 (Vermont AOE / Cognia)
VTCAP Test Specifications, Spring 2025 (Vermont AOE / Cognia)
VTCAP Performance Level Descriptors: Mathematics, Grades 3-9 (Vermont AOE)

Practice by skill

Topics mapped to this domain

Scatterplots and trend lines

Grade 818 questions

Two-way tables

Grade 815 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

A trend line predicts that a bakery will sell $75$ bagels on Monday. The bakery actually sells $79$ bagels. What is the residual (actual value minus predicted value)?

Residual $=$ actual $-$ predicted $= 79 - 75 = 4$ .

Practice playeasy

A two-way table has rows Dog/Cat and columns Boys/Girls: Dog&Boys=10, Dog&Girls=6, Cat&Boys=5, Cat&Girls=9. What fraction of all surveyed were Dog and Boys? Simplify.

$\dfrac{10}{30} = \dfrac{1}{3}$ .

Practice playeasy

A line of best fit relating hours of practice $x$ to free throws made $y$ is $y = 6x + 10$ . According to the line, each additional hour of practice adds about how many free throws?

The slope of $y = 6x + 10$ is $6$ : the predicted change in free throws for each extra hour of practice.

Practice playeasy

A two-way table has rows Bus/Walk and columns 6th/7th: Bus&6th=12, Bus&7th=8, Walk&6th=4, Walk&7th=16. How many were surveyed in total?

Add all cells: $12+8+4+16=40$ .

Practice playeasy

A trend line for the daily high temperature $x$ in degrees and cups of lemonade sold $y$ is $y = 2x - 60$ . For a predicted $100$ cups sold, what should the temperature be?

Solve $100 = 2x - 60$ : $2x = 160$ , so $x = 80$ degrees.

Practice playeasy

A two-way table has rows Bus/Walk and columns 6th/7th: Bus&6th=12, Bus&7th=8, Walk&6th=4, Walk&7th=16. How many chose Bus in total?

Row total for Bus: $12+8=20$ .

Practice playeasy

A trend line for the number of car washes a club holds $x$ and the club's funds $y$ in dollars is $y = 75x + 120$ . According to the line, how many dollars did the club have before holding any car washes?

At $x = 0$ , $y = 120$ dollars: the $y$ -intercept is the starting amount.

Practice playeasy

A two-way table has rows Bus/Walk and columns 6th/7th: Bus&6th=12, Bus&7th=8, Walk&6th=4, Walk&7th=16. What fraction of all surveyed were Bus and 6th? Simplify.