RISE Grade 7 Statistics and Probability Practice

RISE Grade 7 Statistics and Probability. Practice it free.

Use random sampling to draw inferences about a population; draw informal comparative inferences about two populations; and investigate chance processes and develop, use, and evaluate probability models. This Grade 7 reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 77 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

Utah Core Standards for Mathematics (CCSS-aligned Utah math standards) — Utah

How the RISE reports it

Utah’s RISE mathematics assessment is a state assessment aligned to Utah Core Standards rather than a separately branded national framework. The official Utah pages point to Utah Core standards resources and the RISE administration guidance, with no separate public math blueprint published on the assessment page itself.

Blueprint & weighting

RISE mathematics weighting by domain was not located on the official Utah assessment page; the official page only points to the RISE assessment overview/administration resources and the Utah Core Standards resources. Grade 6 administration guidance notes a two-segment math test with Segment 1 no calculator and Segment 2 calculator allowed, and the proctor guide states Mathematics has an expected testing time of 90 minutes for most students and 135 minutes for all students.

Official sources

Utah State Board of Education Assessments
Utah State Board of Education Learning Resources for Families
Utah State Board of Education Assessment Contacts PDF

8 free questions · 0/0 correct

Practice playeasy

Mia can pick from $5$ shirts and $2$ hats. How many different (shirt, hat) outfits are possible?

By the counting principle: $5 \times 2 = 10$ .

Practice playeasy

A jar contains $5$ red tokens and $7$ blue tokens. One token is chosen at random. What is the probability that the token is red?

There are $5 + 7 = 12$ tokens in all and $5$ are red, so $P(\text{red}) = \dfrac{5}{12}$ .

Practice playeasy

One letter is chosen at random from the word GAMES. What is the probability the letter is a vowel?

GAMES has $5$ letters, and $2$ of them ( $A$ and $E$ ) are vowels, so $P = \dfrac{2}{5}$ .

Practice playeasy

The whole numbers $1$ through $24$ were each written on separate cards. Those $24$ cards were placed in a bag. One card will be randomly drawn from this bag. What is the probability that the card will show a number divisible by $4$ ?

Multiples of $4$ from $1$ to $24$ are $4, 8, 12, 16, 20, 24$ , so there are $6$ favorable outcomes: $P = \tfrac{6}{24} = \tfrac{1}{4}$ .

Practice playeasy

A bag holds $4$ red marbles and $5$ green marbles. One marble is drawn at random. What is the probability it is green? Give a simplified fraction.

There are $4 + 5 = 9$ marbles in all and $5$ are green, so $P(\text{green}) = \dfrac{5}{9}$ .

Practice playeasy

In a random sample of 40, 12 were red marbles. Estimate how many of 200 are red in the whole population.

Proportion $= \dfrac{12}{40}$ . Estimate $= \dfrac{12}{40} \times 200 = 60$ .

Practice playeasy

Spinner A has $5$ equal sections and exactly $1$ section is gold. Spinner B has $4$ equal sections and exactly $1$ section is gold. Each spinner is spun once. What is the probability that both spinners land on gold?

$P(\text{gold on A}) = \dfrac{1}{5}$ and $P(\text{gold on B}) = \dfrac{1}{4}$ . So $P(\text{both gold}) = \dfrac{1}{5} \times \dfrac{1}{4} = \dfrac{1}{20}$ .

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

RISE 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

Compound probability

One-event probability word problems

Probability basics

Probability from number sets

Probability of simple events

Sampling and inference

Two-event compound probability word problems

8 free questions · 0/0 correct

Turn statistics and probability into game time.

More Grade 7 domains