Ohio State Tests Grade 7 Statistics and Probability Practice

What the test measures

Statistics and Probability skills

Use random sampling to draw inferences and compare populations, and investigate chance processes and develop, use, and evaluate probability models

Standards basis

Ohio's Learning Standards (mathematics) — Common Core-derived (CCSS-M) — Ohio

How the Ohio State Tests reports it

Ohio's State Tests are Ohio-specific assessments built around Ohio's Learning Standards for Mathematics, which are CCSS-derived and retain the Common Core grade-level domains and (at high school) conceptual categories nearly verbatim. Math is tested in grades 3-8 and via end-of-course exams; the high-school graduation pathway uses Algebra I and Geometry, but students in an integrated sequence take Integrated Mathematics I and II in their place (these integrated courses are not given their own bands here — Integrated Math I draws on the same Algebra/Functions/Number & Quantity/Geometry/Statistics content as Algebra I plus early Geometry, and Integrated Math II adds the remaining Geometry/Functions/Probability content). The reporting categories below are the official math subscore categories Ohio publishes per test; because no public item-percentage blueprint was retrievable, the cluster-level Common Core domains those subscores cover are used (the standards' grade-level domains, which the reporting categories mirror).

Blueprint & weighting

Ohio publishes per-test math subscore (reporting) categories in its Subscore Definitions chart and raw-score subscale ranges, but no public per-category item-percentage blueprint was retrievable; the statistical summaries report the number of items per subscore by administration rather than a fixed blueprint weighting.

Official sources

Ohio Department of Education and Workforce — Ohio's State Tests Subscore Definitions (OSTSubscoreChart.pdf)
Ohio Department of Education and Workforce — Ohio's State Tests Spring 2025 Statistical Summary
Ohio Department of Education and Workforce — Ohio's State Tests in ELA, Mathematics, Science and Social Studies

Practice by skill

Topics mapped to this domain

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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

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

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

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

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

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.