Ohio State Tests Grade 8 The Number System. Practice it free.

Ohio's State Test grade 8 math subscore covering the number system — knowing there are irrational numbers and approximating them by rational numbers (Ohio's Learning Standards The Number System domain). This Grade 8 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 81 mapped skills
What the test measures

The Number System skills

  1. Know that there are numbers that are not rational, and approximate irrational numbers by 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.

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What integer is closest to 120\sqrt{120}?

112=12111^2 = 121 sits right above 120120 and 12010.95\sqrt{120} \approx 10.95, so the closest integer is 1111.

Practice playeasy

What is the integer part of 10+2\sqrt{10} + 2?

103.16\sqrt{10} \approx 3.16, so 10+25.16\sqrt{10} + 2 \approx 5.16; the integer part is 55.

Practice playeasy

Which is closest to π\pi?

π3.14159\pi \approx 3.14159.

Practice playeasy

Which is closest to 2\sqrt{2}?

21.414\sqrt{2} \approx 1.414.

Practice playeasy

Which is closest to 3\sqrt{3}?

31.732\sqrt{3} \approx 1.732.

Practice playeasy

Which is closest to 5\sqrt{5}?

52.236\sqrt{5} \approx 2.236.

Practice playeasy

40\sqrt{40} is between two consecutive integers. Enter the smaller one.

62=36<40<49=726^2 = 36 < 40 < 49 = 7^2, so 40\sqrt{40} is between 66 and 77; the smaller is 66.

Practice playeasy

27\sqrt{27} lies between two consecutive integers. Enter the larger one.

52=25<27<36=625^2 = 25 < 27 < 36 = 6^2, so 27\sqrt{27} is between 55 and 66; the larger is 66.

Keep practicing

Turn the number system into game time.

The Ohio State Tests placement starts with this test's real coverage map and finds the right difficulty.