TCAP Grade 7 Statistics and Probability Practice

What the test measures

Statistics and Probability skills

7.SP.A.1 Understand that statistics can be used to gain information about a population by examining a sample
7.SP.A.2 Use data from a random sample to draw inferences about a population
7.SP.B.3 Informally assess the degree of visual overlap of two numerical data distributions
7.SP.B.4 Use measures of center and measures of variability for numerical data from random samples
7.SP.C.5 Understand the probability of a chance event is a number between 0 and 1
7.SP.C.6 Approximate the probability of a chance event by collecting data on the chance process
7.SP.C.7 Develop a probability model and use it to find probabilities of events
7.SP.C.8 Find probabilities of compound events

Standards basis

Tennessee Academic Standards for Mathematics — Tennessee

How the TCAP reports it

TCAP math is Tennessee’s state assessment program and its blueprints are aligned to Tennessee Academic Standards, which closely mirror the Common Core content structure in grades 3-8 and the CCSS-style high school conceptual categories. The blueprint page lists the current 2025-26 assessment overviews, including Math Grade 2, Grades 3-5, Grades 6-8, and Math EOC. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Blueprint & weighting

Published TCAP math blueprints assign content emphasis by grade/course, but the exact percentage table was not recoverable from the accessible blueprint page in this session. The state blueprint landing page confirms the math overviews but did not expose the PDF links in the fetched page content. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Official sources

Tennessee Department of Education TCAP Blueprints
Tennessee Education Glossary (academic standards entry)

Practice by skill

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8 free questions · 0/0 correct

Practice playeasy

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

Multiply: $P(A \text{ and } B) = \tfrac{1}{6} \times \tfrac{1}{6} = \tfrac{1}{36}$ .

Practice playmedium

A club has $24$ members. Of these members, $9$ play soccer. If one member is selected at random, what is the probability that the member plays soccer?

$P(\text{soccer}) = \dfrac{9}{24} = \dfrac{3}{8}$ .

Practice playeasy

A bag holds $3$ red marbles and $5$ blue marbles. One marble is drawn at random. What is the probability it is red?

There are $3 + 5 = 8$ marbles in all, and $3$ are red, so $P(\text{red}) = \dfrac{3}{8}$ .

Practice playeasy

The whole numbers $1$ through $36$ were each written on separate slips of paper. Those $36$ slips were placed in a box. One slip will be randomly drawn from this box. What is the probability that the slip will show a prime number?

Prime numbers from $1$ to $36$ are $2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31$ , giving $11$ favorable outcomes: $P = \tfrac{11}{36}$ .

Practice playeasy

A standard six-sided die is rolled once. What is the probability of rolling a number greater than $4$ ? Give a simplified fraction.

The favorable faces are $5$ and $6$ , so $P = \dfrac{2}{6} = \dfrac{1}{3}$ .

Practice playeasy

In a random sample, 12 of 48 shoppers chose vanilla. What percent of all shoppers would you expect to choose vanilla?

$\dfrac{12}{48} = \dfrac{1}{4} = 25\%$ .

Practice playeasy

The weather report says there is a $\dfrac{3}{5}$ chance of no rain on Saturday and an independent $\dfrac{3}{5}$ chance of no rain on Sunday. What is the probability that it does not rain on both days?