VTCAP Grade 5 Number and Operations in Base Ten. Practice it free.

Grade 5 Number and Operations in Base Ten standards; reported jointly with fractions as the 'Number and Operations in Base Ten, Numbers and Operations – Fractions' performance indicator. Blueprint target: 7-13 points (14-25% of the grade 5 test). This Grade 5 reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.

Grade 55.NBT3 mapped skills
What the test measures

Number and Operations in Base Ten skills

  1. Understand the place value system

  2. Perform operations with multi-digit whole numbers and with decimals to hundredths

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

Powers of ten

Grade 560 questions

Long division

Grade 5123 questions

Long multiplication

Grade 5110 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

What is 8×1038 \times 10^{3}?

Multiplying by 10310^{3} appends 33 zeros to the whole number: 8×103=80008 \times 10^{3} = 8000.

Practice playeasy

What is 68÷468 \div 4?

4×17=684 \times 17 = 68, so 68÷4=1768 \div 4 = 17.

Practice playeasy

What is 19×519 \times 5?

19×5=9519 \times 5 = 95.

Practice playeasy

What is 10410^{4}?

10410^{4} means 11 followed by 44 zeros, so 104=1000010^{4} = 10000.

Practice playeasy

What is 96÷696 \div 6?

6×16=966 \times 16 = 96, so 96÷6=1696 \div 6 = 16.

Practice playeasy

What is 42×242 \times 2?

42×2=8442 \times 2 = 84.

Practice playeasy

What is 4×1024 \times 10^{2}?

Multiplying by 10210^{2} appends 22 zeros to the whole number: 4×102=4004 \times 10^{2} = 400.

Practice playeasy

What is 84÷684 \div 6?

6×14=846 \times 14 = 84, so 84÷6=1484 \div 6 = 14.

Keep practicing

Turn number and operations in base ten into game time.

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

Horseshoe Toss game coverHorseshoe TossPlay →Balloon Pop Math game coverBalloon Pop MathPlay →Beam Team game coverBeam TeamPlay →Blossom Leap game coverBlossom LeapPlay →
Related Common Core standards
5.NBT.A.25.NBT.B.65.NBT.B.5
Number and Operations in Base Ten in other VTCAP grades
Grade 3
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All VTCAP prepOfficial test source
Reporting categories

More Grade 5 domains

Number and Operations – FractionsGrade 5 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: 11-15 points (22-29% of the grade 5 test).8 QsPractice →Measurement and DataGrade 5 Measurement and Data standards; reported jointly with geometry as the 'Measurement and Data, Geometry' performance indicator. Blueprint target: 10-14 points (20-27% of the grade 5 test).8 QsPractice →GeometryGrade 5 Geometry standards; reported jointly with measurement and data as the 'Measurement and Data, Geometry' performance indicator. Blueprint target: 4-8 points (8-16% of the grade 5 test).8 QsPractice →