TCAP Grade 4 Operations and Algebraic Thinking. Practice it free.

Use the four operations with whole numbers to solve problems and gain familiarity with factors and multiples. This Grade 4 reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.

Grade 43 mapped skills

What the test measures

Operations and Algebraic Thinking skills

4.OA.A.1 Interpret a multiplication equation as a comparison
4.OA.A.2 Multiply or divide to solve word problems involving multiplicative comparison
4.OA.A.3 Solve multistep word problems with remainders
4.OA.B.4 Find all factor pairs for a whole number
4.OA.B.5 Generate and analyze numeric patterns

Standards basis

Tennessee Academic Standards for Mathematics — Tennessee

How the TCAP reports it

TCAP math is Tennessee’s state assessment program and its blueprints are aligned to Tennessee Academic Standards, which closely mirror the Common Core content structure in grades 3-8 and the CCSS-style high school conceptual categories. The blueprint page lists the current 2025-26 assessment overviews, including Math Grade 2, Grades 3-5, Grades 6-8, and Math EOC. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Blueprint & weighting

Published TCAP math blueprints assign content emphasis by grade/course, but the exact percentage table was not recoverable from the accessible blueprint page in this session. The state blueprint landing page confirms the math overviews but did not expose the PDF links in the fetched page content. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Official sources

Tennessee Department of Education TCAP Blueprints
Tennessee Education Glossary (academic standards entry)

Practice by skill

Topics mapped to this domain

Divisibility rules

Grade 425 questions

Factors and multiples

Grade 433 questions

Prime number recognition

Grade 433 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

Is $27$ divisible by $3\textsf{?}$

The sum of the digits of $27$ is $2 + 7 = 9\textsf{,}$ and $9$ is divisible by $3\textsf{,}$ so $27$ is divisible by $3\textsf{.}$

Practice playeasy

What is the $5$ th multiple of $6$ ?

Five $6\text{s}$ make $30$ : $6\textsf{,}$ $12\textsf{,}$ $18\textsf{,}$ $24\textsf{,}$ $30\textsf{.}$

Practice playeasy

Which number is prime?

$37$ has only two factors, $1$ and $37$ , so it is prime.

Practice playeasy

Is $45$ divisible by $5\textsf{?}$

The last digit of $45$ is $5\textsf{,}$ so $45$ is divisible by $5\textsf{.}$

Practice playeasy

What is the $2$ nd multiple of $3$ ?

Two $3\text{s}$ make $6$ : $3\textsf{,}$ $6\textsf{.}$

Practice playeasy

What is the smallest prime number?

The smallest prime number is $2$ .

Practice playeasy

Is $81$ divisible by $9\textsf{?}$

The sum of the digits of $81$ is $8 + 1 = 9\textsf{,}$ and $9$ is divisible by $9\textsf{,}$ so $81$ is divisible by $9\textsf{.}$

Practice playeasy

What is the $2$ nd multiple of $7$ ?

Two $7\text{s}$ make $14$ : $7\textsf{,}$ $14\textsf{.}$

Keep practicing

Turn operations and algebraic thinking into game time.

The TCAP placement starts with this test's real coverage map and finds the right difficulty.

Balloon Pop Math game cover

Balloon Pop MathPlay →

Beam Team game cover

Beam TeamPlay →

Blaster Gate game cover

Blaster GatePlay →

Blitz Tanks game cover

Blitz TanksPlay →

Related Common Core standards

Operations and Algebraic Thinking in other TCAP grades

The same skills on other tests

i-Ready AASA ATLAS Forward

Source and test overview

All TCAP prep Official test source

Reporting categories

More Grade 4 domains

Number and Operations—FractionsExtend understanding of fraction equivalence and operations with fractions to the order of fractions and mixed numbers.8 QsPractice →Measurement and DataSolve problems involving measurement and conversion of measurements from a larger unit to a smaller unit, and represent and interpret data.8 QsPractice →