WVGSA Grade 8 The Number System. Practice it free.

Work with irrational numbers and rational approximations. 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 irrational numbers and repeating decimals.

  2. Convert repeating decimals to rational numbers.

  3. Approximate irrational numbers and compare their sizes.

  4. Locate irrational numbers on a number line and estimate expressions such as π².

Standards basis

West Virginia College- and Career-Readiness Standards for Mathematics (WVBE Policy 2520.2B) — West Virginia

How the WVGSA reports it

West Virginia’s General Summative Assessment is a state assessment aligned to the West Virginia College- and Career-Readiness Standards rather than a separate national assessment framework. The math blueprint follows CCSS-style grade-band domains and clusters, but the standards are the state’s own West Virginia College- and Career-Readiness Standards.

Blueprint & weighting

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

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

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.

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.

Keep practicing

Turn the number system into game time.

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