KSA Grade 3 Operations and Algebraic Thinking Practice

What the test measures

Operations and Algebraic Thinking skills

Interpret products of whole numbers
Interpret whole-number quotients
Use multiplication and division within 100 to solve word problems
Apply the distributive property as a strategy
Determine the unknown whole number in multiplication or division equations
Apply properties of operations as strategies to multiply and divide
Understand the relationship between multiplication and division
Solve two-step word problems using the four operations
Identify arithmetic patterns and explain them using properties of operations

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

Properties of operations

Grade 316 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which property says $4 + 7 = 7 + 4$ ?

$4 + 7 = 7 + 4$ shows the order of the addition does not change the answer, so the expressions are equal in value. This is the commutative property.

Practice playeasy

Which property is $\color{red}{4\times}\color{blue}{(3+2)}\color{black}{\,=\,}\color{red}{4\times}\color{blue}{3+}\color{red}{4\times}\color{blue}{2}$ ?

$\color{red}{4\times}\color{blue}{(3+2)}\color{black}{\,=\,}\color{red}{4\times}\color{blue}{3+}\color{red}{4\times}\color{blue}{2}$ shows multiplying across a sum does not change the answer, so the expressions are equal in value. This is the distributive property.

Practice playeasy

Which property is $7 + 0 = 7$ ?

$7 + 0 = 7$ shows adding $0$ does not change the answer, so the expressions are equal in value. This is the identity property.

Practice playeasy

Which property is $3 + (6 + 2) = (3 + 6) + 2$ ?

$3 + (6 + 2) = (3 + 6) + 2$ shows the grouping of the addition does not change the answer, so the expressions are equal in value. This is the associative property.

Practice playeasy

Which property says $6 \times 4 = 4 \times 6$ ?

$6 \times 4 = 4 \times 6$ shows the order of the multiplication does not change the answer, so the expressions are equal in value. This is the commutative property.

Practice playeasy

Which property is $\color{red}{2\times}\color{blue}{(3+5)}\color{black}{\,=\,}\color{red}{2\times}\color{blue}{3+}\color{red}{2\times}\color{blue}{5}$ ?

$\color{red}{2\times}\color{blue}{(3+5)}\color{black}{\,=\,}\color{red}{2\times}\color{blue}{3+}\color{red}{2\times}\color{blue}{5}$ shows multiplying across a sum does not change the answer, so the expressions are equal in value. This is the distributive property.

Practice playeasy

Which property is $6 \times 1 = 6$ ?

$6 \times 1 = 6$ shows multiplying by $1$ does not change the answer, so the expressions are equal in value. This is the identity property.

Practice playeasy

Which property is $(2 \times 3) \times 4 = 2 \times (3 \times 4)$ ?

$(2 \times 3) \times 4 = 2 \times (3 \times 4)$ shows the grouping of the multiplication does not change the answer, so the expressions are equal in value. This is the associative property.