KSA Grade 6 The Number System Practice

What the test measures

The Number System skills

Compute fluently with multi-digit numbers
Find greatest common factor and least common multiple
Apply and extend previous understandings of multiplication and division to divide fractions by fractions
Understand positive and negative numbers
Interpret and compare rational numbers on a number line
Understand ordering and absolute value of rational numbers
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane
Represent and find distances on a number line

Standards basis

Kentucky Academic Standards (KAS) for Mathematics — Kentucky

How the KSA reports it

Kentucky KSA is a state summative assessment built on Kentucky Academic Standards (KAS) rather than a separate national framework. For mathematics, the assessed content closely follows Common Core–style grade-band domains in grades 3-8 and uses Kentucky high-school conceptual categories in grade 10.

Blueprint & weighting

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

Official sources

Kentucky Department of Education — Kentucky Summative Assessment
Kentucky Department of Education — Mathematics
Kentucky Department of Education — Kentucky Laws and Regulations

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $|8|$ ?

The absolute value of a non-negative number is itself: $|8| = 8$ .

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.

Practice playeasy

What is $6.07 - 4.71$ ?

$6.07 - 4.71 = 1.36$ .

Practice playeasy

What is $\dfrac{3}{9} \div \dfrac{5}{8}$ ?

Multiply by the reciprocal: $\dfrac{3}{9} \times \dfrac{8}{5} = \dfrac{24}{45} = \dfrac{8}{15}$ .

Practice playeasy

What is $|0|$ ?

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

Practice playeasy

Which of the following values lies strictly between $-\dfrac{19}{4}$ and $\dfrac{11}{2}$ on the real number line?

The interval is open: $-\dfrac{19}{4} = -4.75$ and $\dfrac{11}{2} = 5.5$ , so values must satisfy $-4.75 < x < 5.5$ . Check each choice: $-5 < -4.75$ (outside), $-4$ is between the bounds, $\dfrac{11}{2}$ equals the upper endpoint (not strict), and $-\dfrac{19}{4}$ equals the lower endpoint (not strict).