ISASP Grades 6-8 The Number System Practice

What the test measures

The Number System skills

Apply and extend previous understandings of multiplication and division to divide fractions by fractions
Compute fluently with multi-digit numbers and find common factors and multiples
Apply and extend previous understandings of numbers to the system of rational numbers

Standards basis

Iowa Academic Standards / Iowa Core Mathematics — Iowa

How the ISASP reports it

ISASP is Iowa’s statewide assessment program administered by the state Department of Education and aligned to Iowa Academic Standards / Iowa Core rather than a multi-state blueprint like SBAC or ACT. The public materials accessible here establish the tested grades and that mathematics results are reported statewide, but I could not locate an official public math blueprint PDF on the Iowa DOE site in the available sources.

Blueprint & weighting

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

Official sources

Iowa Department of Education — Required Student Assessments
Iowa Department of Education — About the Iowa Department of Education
Iowa Academic Standards for Mathematics (April 2024) — full standards PDF, confirms K-8 domains/clusters and HS conceptual-category clusters are CCSS-M verbatim

Practice by skill

Topics mapped to this domain

Try it now

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.