VTCAP Grade 7 Statistics and Probability Practice

VTCAP Grade 7 Statistics and Probability. Practice it free.

Grade 7 Statistics and Probability standards; reported jointly with geometry as the 'Geometry and Statistics and Probability' performance indicator. Blueprint target: 10-12 points (19-22% of the grade 7 test). This Grade 7 reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 77.SP7 mapped skills

Statistics and Probability skills

Use random sampling to draw inferences about a population

Draw informal comparative inferences about two populations

Investigate chance processes and develop, use, and evaluate probability models

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)

8 free questions · 0/0 correct

Practice playeasy

A random sample of 20 contained 5 successes. What is the sample proportion (as a simplified fraction)?

Proportion $= \dfrac{5}{20} = \dfrac{1}{4}$ .

Practice playeasy

For two independent events, the probability of a head then a 4: $P(A)=\tfrac{1}{2}$ , $P(B)=\tfrac{1}{6}$ . Find $P(A \text{ and } B)$ as a simplified fraction.

Multiply: $P(A \text{ and } B) = \tfrac{1}{2} \times \tfrac{1}{6} = \tfrac{1}{12}$ .

Practice playmedium

A whole number from $1$ through $25$ is chosen at random. What is the probability that the number is a multiple of $4$ ?

The multiples of $4$ from $1$ to $25$ are $4, 8, 12, 16, 20,$ and $24$ , so $P = \dfrac{6}{25}$ .

Practice playeasy

A spinner has $8$ equal sections: $2$ are green and $6$ are yellow. What is the probability the spinner lands on green?

$P(\text{green}) = \dfrac{2}{8} = \dfrac{1}{4}$ .

Practice playeasy

The whole numbers $1$ through $50$ were each written on separate cards. Those $50$ cards were placed in a hat. One card will be randomly drawn from this hat. What is the probability that the card will show a number divisible by $5$ ?

Multiples of $5$ from $1$ to $50$ are $5, 10, 15, 20, 25, 30, 35, 40, 45, 50$ , giving $10$ favorable outcomes: $P = \tfrac{10}{50} = \tfrac{1}{5}$ .

Practice playeasy

What is the probability of rolling an even number on a die? Give a simplified fraction.

$P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{3}{6} = \dfrac{1}{2}$ .

Practice playeasy

A game spinner has $8$ equal sections, exactly $2$ of which are blue. A fair coin is then flipped. What is the probability of landing on blue on the spinner and getting tails on the coin?

$P(\text{blue}) = \dfrac{2}{8} = \dfrac{1}{4}$ and $P(\text{tails}) = \dfrac{1}{2}$ . So $P(\text{both}) = \dfrac{1}{4} \times \dfrac{1}{2} = \dfrac{1}{8}$ .

Practice playeasy

A random sample of 32 contained 8 successes. What is the sample proportion (as a simplified fraction)?

Proportion $= \dfrac{8}{32} = \dfrac{1}{4}$ .

VTCAP Grade 7 Statistics and Probability. Practice it free.

Statistics and Probability skills

Use random sampling to draw inferences about a population

Draw informal comparative inferences about two populations

Investigate chance processes and develop, use, and evaluate probability models

Topics mapped to this domain

Sampling and inference

Compound probability

One-event probability word problems

Probability basics

Probability from number sets

Probability of simple events

Two-event compound probability word problems

8 free questions · 0/0 correct

Turn statistics and probability into game time.

More Grade 7 domains