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

Grade 4 Operations and Algebraic Thinking standards; reported as the 'Operations and Algebraic Thinking' performance indicator. Blueprint target: 10-16 points (20-31% of the grade 4 test). This Grade 4 reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.

Grade 44.OA3 mapped skills
What the test measures

Operations and Algebraic Thinking skills

  1. Use the four operations with whole numbers to solve problems

  2. Gain familiarity with factors and multiples

  3. Generate and analyze patterns

Standards basis

Common Core State Standards for Mathematics (CCSS-M) — Vermont

How the VTCAP reports it

Vermont administered the Smarter Balanced summative through spring 2022, then replaced it with the Cognia-developed Vermont Comprehensive Assessment Program (VTCAP) beginning spring 2023 — this landing slug predates the switch. VTCAP mathematics is an adaptive, CCSS-M-aligned assessment in grades 3-9. It is NOT a Smarter Balanced administration: its reporting categories are groupings of the CCSS grade-level domains (e.g. 'The Number System, Expressions and Equations'), not SBAC claims, though two cross-grade Mathematical Practices indicators ('Problem Solving, Reasoning, and Argument'; 'Modeling, Patterns, and Structure') echo the old claim structure. Per the test specifications, the grades 3-8 test may assess any CCSS-M standard at the grade; the grade 9 test assesses a prioritized subset of the high school CCSS-M within the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability (the assessed focus areas are published in the grade 9 Performance Level Descriptors).

Blueprint & weighting

VTCAP Test Specifications (Spring 2026) operational test blueprint, target percent of points per grade — Grade 3: OA 24-35%, NBT 10-14%, NF 16-20%, MD 22-29%, G 6-10%, constructed-response Mathematical Practices 12%. Grade 4: OA 20-31%, NBT 16-20%, NF 20-31%, MD 12-20%, G 6-10%, practices 12%. Grade 5: OA 14-22%, NBT 14-25%, NF 22-29%, MD 20-27%, G 8-16%, practices 12%. Grade 6: RP 15-22%, NS 15-22%, EE 15-22%, G 11-19%, SP 11-19%, practices 11%. Grade 7: RP 15-22%, NS 11%, EE 15-30%, G 11-19%, SP 19-22%, practices 11%. Grade 8: F 18-29%, NS 7%, EE 20-31%, G 18-29%, SP 18-22%, practices 11%. Grade 9 (all machine-scored): Number and Quantity/Algebra 18-27%, Algebra/Functions 31-40%, Geometry 20-29%, Statistics and Probability 13-20%; the two practices indicators are dual-aligned targets of >18% of points each. Identical figures appear in the Spring 2025 specifications.

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

Which number is 130130 divisible by?

The last digit of 130130 is 0,0\textsf{,} so 130130 is divisible by 10.10\textsf{.}

Practice playeasy

What is the 22nd multiple of 77?

Two 7s7\text{s} make 1414: 7,7\textsf{,} 14.14\textsf{.}

Practice playeasy

What is the next prime after 1919?

2323.

Practice playeasy

Is 8484 divisible by 2?2\textsf{?}

The last digit of 8484 is 4,4\textsf{,} which is even, so 8484 is divisible by 2.2\textsf{.}

Practice playeasy

What is the 22nd multiple of 99?

Two 9s9\text{s} make 1818: 9,9\textsf{,} 18.18\textsf{.}

Practice playeasy

What is the next prime number after 22?

The next prime after 22 is 33.

Practice playeasy

Is 2727 divisible by 3?3\textsf{?}

The sum of the digits of 2727 is 2+7=9,2 + 7 = 9\textsf{,} and 99 is divisible by 3,3\textsf{,} so 2727 is divisible by 3.3\textsf{.}

Practice playeasy

What is the 33rd multiple of 44?

Three 4s4\text{s} make 1212: 4,4\textsf{,} 8,8\textsf{,} 12.12\textsf{.}

Keep practicing

Turn operations and algebraic thinking into game time.

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

Balloon Pop Math game coverBalloon Pop MathPlay →Beam Team game coverBeam TeamPlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →
Related Common Core standards
4.OA.B.4
Operations and Algebraic Thinking in other VTCAP grades
Grade 3
The same skills on other tests
i-ReadyAASAATLASForward
Source and test overview
All VTCAP prepOfficial test source
Reporting categories

More Grade 4 domains

Number and Operations – FractionsGrade 4 Number and Operations – Fractions standards; reported jointly with base-ten work as the 'Number and Operations in Base Ten, Numbers and Operations – Fractions' performance indicator. Blueprint target: 10-16 points (20-31% of the grade 4 test).8 QsPractice →Measurement and DataGrade 4 Measurement and Data standards; reported jointly with geometry as the 'Measurement and Data, Geometry' performance indicator. Blueprint target: 6-10 points (12-20% of the grade 4 test).8 QsPractice →