WVGSA Grade 6 The Number System Practice

What the test measures

The Number System skills

Interpret and compute quotients of fractions by fractions.
Divide multi-digit numbers fluently.
Compute with multi-digit decimals.
Find greatest common factor and least common multiple.
Represent positive and negative numbers in context.
Plot rational numbers on the number line and coordinate plane.
Understand ordering and absolute value of rational numbers.
Solve coordinate-plane problems with rational numbers.

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).

Official sources

West Virginia Department of Education: General Summative Assessment
West Virginia Department of Education: Grade 3 Mathematics Standards
West Virginia Department of Education: Grade 4 Mathematics Standards

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $|0|$ ?

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

Practice playeasy

What is $6.60 \times 6$ ?

$6.60 \times 6 = 39.6$ .

Practice playeasy

What is $\dfrac{3}{6} \times \dfrac{3}{7}$ ?

Multiply across: $\dfrac{3 \times 3}{6 \times 7} = \dfrac{9}{42} = \dfrac{3}{14}$ .

Practice playmedium

Which integer is closest to $-\dfrac{29}{6}$ on the real number line?

$-\dfrac{29}{6} \approx -4.83$ . Compare distances: $|{-5} - (-4.83)| \approx 0.17$ and $|{-4} - (-4.83)| \approx 0.83$ . The closest integer is $-5$ .

Practice playeasy

What is $|5 - 4|$ ?

First compute the difference: $5 - 4 = 1$ . Then take the absolute value: $|1| = 1$ .

Practice playeasy

What is $6.07 - 4.71$ ?

$6.07 - 4.71 = 1.36$ .

Practice playeasy

What is $\dfrac{3}{4} \div \dfrac{2}{3}$ ?

Multiply by the reciprocal: $\dfrac{3}{4} \times \dfrac{3}{2} = \dfrac{9}{8} = \dfrac{9}{8}$ .

Practice playhard

How many integers satisfy $-\dfrac{11}{2} < x \leq 4$ ?

$-\dfrac{11}{2} = -5.5$ , so integers greater than $-5.5$ start at $-5$ ; the closed upper bound includes $4$ . Integers: $-5, -4, \ldots, 0, \ldots, 4$ ; $0$ is an integer and must be counted. Total: $4 - (-5) + 1 = 10$ ; the $+1$ counts both $-5$ and $4$ inclusive.