ILEARN Grade 7 Statistics and Probability Practice

What the test measures

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
Understand that the probability of a chance event is a number between 0 and 1 and interpret probabilities of events
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulations

Standards basis

Indiana Academic Standards for Mathematics — Indiana

How the ILEARN reports it

Indiana iLEARN is a state assessment system aligned to Indiana’s Academic Standards rather than a shared national testing framework. The public iLEARN page says the math assessment is a computer-adaptive test measuring Indiana mathematics standards, and the through-year summative measures the full set of skills expected by year end ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/)).

Blueprint & weighting

The iLEARN public page states that each Checkpoint measures a subset of skills and the summative measures the full set of skills by the end of the school year, but the official page and accessible sources retrieved here do not publish per-domain item percentages or weightings for math ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/), [Indiana DOE Formative (Interim) Assessment Grant Guidance](https://www.in.gov/doe/files/2026-2027-Formative-Interim-Assessment-Grant-Guidance.pdf)).

Official sources

Indiana DOE iLEARN
Indiana DOE Formative (Interim) Assessment Grant Guidance

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A meal has 3 mains and 4 sides. How many different (main, side) combinations are possible?

By the multiplication principle: $3 \times 4 = 12$ .

Practice playeasy

What is the probability of flipping heads on a coin? Give a simplified fraction.

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

Practice playeasy

Two fair coins are flipped. What is the probability that both coins show heads?

$P(\text{heads on one coin}) = \dfrac{1}{2}$ . For two independent flips, $P(\text{both heads}) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}$ .

Practice playeasy

A standard six-sided number cube is rolled once. What is the probability of rolling an odd number?

The odd faces are $1$ , $3$ , and $5$ , so $P(\text{odd}) = \dfrac{3}{6} = \dfrac{1}{2}$ .

Practice playeasy

A spinner has $5$ equal sections: $1$ red, $2$ blue, and $2$ green. What is the probability the spinner does not land on red?

Four of the five equal sections are not red, so $P = \dfrac{4}{5}$ .

Practice playeasy

The whole numbers $1$ through $36$ were each written on separate cards. Those $36$ 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 two-digit number?

Two-digit numbers from $1$ to $36$ are $10$ through $36$ , giving $27$ favorable outcomes: $P = \tfrac{27}{36} = \tfrac{3}{4}$ .

Practice playeasy

A random sample of 12 contained 3 successes. What is the sample proportion (as a simplified fraction)?

Proportion $= \dfrac{3}{12} = \dfrac{1}{4}$ .

Practice playeasy

For two independent events, the probability of flipping two heads in a row: $P(A)=\tfrac{1}{2}$ , $P(B)=\tfrac{1}{2}$ . Find $P(A \text{ and } B)$ as a simplified fraction.