AASA Grade 8 The Number System. Practice it free.

Know that there are numbers that are not rational and approximate them by rational numbers. This Grade 8 reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

Grade 82 mapped skills

What the test measures

The Number System skills

Know that there are numbers that are not rational
Approximate irrational numbers by rational numbers
Work with square roots and cube roots

Standards basis

Arizona 2016 Mathematics Standards — Arizona

How the AASA reports it

AASA is Arizona’s statewide achievement test for Grades 3-8, and its math item specifications are aligned to Arizona’s 2016 Mathematics Standards rather than a national framework like SBAC or SAT. The public AASA page does not show a fixed common-core-style domain blueprint; instead, the official math coverage is embedded in grade-level item specifications and scoring guides.

Blueprint & weighting

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

Official sources

Arizona Department of Education AASA
Arizona Department of Education Mathematics Standards

Practice by skill

Topics mapped to this domain

Square roots and cube roots

Grade 815 questions

Irrational number approximations

Grade 820 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $\sqrt{64}$ ?

$8 \times 8 = 64$ , so $\sqrt{64} = 8$ .

Practice playeasy

Which is closest to $\sqrt{2}$ ?

$\sqrt{2} \approx 1.414$ .

Practice playeasy

What is $\sqrt[3]{64}$ ?

$4 \times 4 \times 4 = 64$ , so $\sqrt[3]{64} = 4$ .

Practice playeasy

Which is closest to $\sqrt{3}$ ?

$\sqrt{3} \approx 1.732$ .

Practice playeasy

If $x^2 = 169$ and $x > 0$ , what is $x$ ?

Take the positive square root: $x = \sqrt{169} = 13$ because $13 \times 13 = 169$ .

Practice playeasy

Which is closest to $\sqrt{5}$ ?

$\sqrt{5} \approx 2.236$ .

Practice playeasy

What is $\sqrt{144}$ ?

$12 \times 12 = 144$ , so $\sqrt{144} = 12$ .

Practice playeasy

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

$6^2 = 36 < 40 < 49 = 7^2$ , so $\sqrt{40}$ is between $6$ and $7$ ; the smaller is $6$ .

Keep practicing

Turn the number system into game time.

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

Batting Cage game cover

Batting CagePlay →

Blaster Gate game cover

Blaster GatePlay →

Blitz Tanks game cover

Blitz TanksPlay →

Buzzer Beater game cover

Buzzer BeaterPlay →

Related Common Core standards

8.EE.A.2 8.NS.A.2

The Number System in other AASA grades

Grade 6 Grade 7

The same skills on other tests

i-Ready ACAP ATLAS Forward

Source and test overview

All AASA prep Official test source

Reporting categories

More Grade 8 domains

Expressions and EquationsWork with radicals and integer exponents, understand the connections between proportional relationships, lines, and linear equations, and analyze and solve linear equations and pairs of simultaneous linear equations.8 QsPractice →FunctionsDefine, evaluate, and compare functions, and use functions to model relationships between quantities.8 QsPractice →GeometryUnderstand congruence and similarity using physical models, transparencies, or geometry software, and understand and apply the Pythagorean Theorem.8 QsPractice →Statistics and ProbabilityInvestigate patterns of association in bivariate data.8 QsPractice →