KSA Grade 7 Statistics and Probability Practice

KSA 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 7SP7 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 probability models

Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation

Standards basis

Kentucky Academic Standards (KAS) for Mathematics — Kentucky

How the KSA reports it

Kentucky KSA is a state summative assessment built on Kentucky Academic Standards (KAS) rather than a separate national framework. For mathematics, the assessed content closely follows Common Core–style grade-band domains in grades 3-8 and uses Kentucky high-school conceptual categories in grade 10.

Blueprint & weighting

KSA uses the Independent / state-specific framework (by grade domains structure).

Official sources

Kentucky Department of Education — Kentucky Summative Assessment
Kentucky Department of Education — Mathematics
Kentucky Department of Education — Kentucky Laws and Regulations

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

KSA 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 probability models

Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation

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