ILEARN Grade 6 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
Understand positive and negative numbers and locate them on a number line
Understand ordering and absolute value of rational numbers
Write, interpret, and explain statements of order for rational numbers in real-world contexts
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12

Standards basis

Indiana Academic Standards for Mathematics — Indiana

How the ILEARN reports it

Indiana iLEARN is a state assessment system aligned to Indiana’s Academic Standards rather than a shared national testing framework. The public iLEARN page says the math assessment is a computer-adaptive test measuring Indiana mathematics standards, and the through-year summative measures the full set of skills expected by year end ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/)).

Blueprint & weighting

The iLEARN public page states that each Checkpoint measures a subset of skills and the summative measures the full set of skills by the end of the school year, but the official page and accessible sources retrieved here do not publish per-domain item percentages or weightings for math ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/), [Indiana DOE Formative (Interim) Assessment Grant Guidance](https://www.in.gov/doe/files/2026-2027-Formative-Interim-Assessment-Grant-Guidance.pdf)).

Official sources

Indiana DOE iLEARN
Indiana DOE Formative (Interim) Assessment Grant Guidance

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 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

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 playeasy

Compute $|0|$ .

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

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.