Ohio State Tests Grade 6 The Number System Practice

What the test measures

The Number System skills

Divide fractions by fractions, compute fluently with multi-digit numbers, and apply and extend previous understandings of numbers to the system of rational numbers

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

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8 free questions · 0/0 correct

Practice playeasy

What is $|17|$ ?

The absolute value of a non-negative number is itself: $|17| = 17$ .

Practice playeasy

What is $7.04 - 1.68$ ?

$7.04 - 1.68 = 5.36$ .

Practice playeasy

What is $\dfrac{3}{7} \div \dfrac{3}{7}$ ?

Multiply by the reciprocal: $\dfrac{3}{7} \times \dfrac{7}{3} = \dfrac{21}{21} = \dfrac{1}{1}$ .

Practice playmedium

On the real number line, how many integers are strictly between $-\dfrac{83}{7}$ and $\dfrac{67}{4}$ ?

Convert the bounds: $-\dfrac{83}{7} \approx -11.86$ and $\dfrac{67}{4} = 16.75$ . Strictly between means integers $n$ with $-\dfrac{83}{7} < n < \dfrac{67}{4}$ , so $n$ runs from $-11$ through $16$ , including $0$ . Count with $16 - (-11) + 1$ : subtracting endpoints gives the gap between them; the $+1$ counts both $-11$ and $16$ inclusive.

Practice playeasy

Compute $|0|$ .

$0$ is its own distance from $0$ , so $|0| = 0$ .

Practice playeasy

What is $7.00 + 1.62$ ?

$7.00 + 1.62 = 8.62$ .

Practice playeasy

What is $\dfrac{3}{5} \times \dfrac{1}{6}$ ?

Multiply across: $\dfrac{3 \times 1}{5 \times 6} = \dfrac{3}{30} = \dfrac{1}{10}$ .

Practice playmedium

On the real number line, how many integers are strictly between $-\dfrac{91}{5}$ and $-\dfrac{12}{4}$ ?

Convert: $-\dfrac{91}{5} = -18.2$ and $-\dfrac{12}{4} = -3$ . Integers $n$ with $-18.2 < n < -3$ are $-18, -17, \ldots, -4$ . Count with $-4 - (-18) + 1$ : subtracting endpoints gives the gap between them; the $+1$ counts both $-18$ and $-4$ inclusive.