Independent state math practice
Virginia SOL Grade 5 Math Practice
See the Grade 5 content, tools, practice formats, and official context before choosing a practice mode.
Read the questions. Check the reasoning.
Grade 5 Virginia SOL Math practice questions with answers
These three original examples come from TestByState’s Grade 5 practice generator. Read them without an account. They illustrate selected skills, not a complete test blueprint or official released questions.
Example 1
Skill reference: 5.PFA.1
The pattern is 2.5, 2.8, 3.1, 3.4, 3.7, … What is next?
- 3.9
- 3.7
- 4.0
- 4.3
Show answer and explanation
Answer: 4.0
3.7 + 0.3 = 4.0.
- Each term increases by 0.3.
- 3.7 + 0.3 = 4.0.
Example 2
Skill reference: 5.MG.2
A box is filled without gaps by 13 identical cubes with edge length 1 foot. What is the box's volume?
- 13 feet
- 13 cubic feet
- 14 cubic feet
- 13 square feet
Show answer and explanation
Answer: 13 cubic feet
Each cube is one cubic foot, so the total volume is 13 cubic feet.
- Volume counts three-dimensional unit cubes.
- Each cube is one cubic foot, so the total volume is 13 cubic feet.
Example 3
Skill reference: 5.MG.3
A triangle has angle measures 90°, 45°, 45°. How is it classified?
- acute equilateral triangle
- obtuse scalene triangle
- right isosceles triangle
- acute isosceles triangle
Show answer and explanation
Answer: right isosceles triangle
The triangle is a right isosceles triangle.
- Classify by angle measures and by equal angles.
- The triangle is a right isosceles triangle.
Can I practice Grade 5 Virginia SOL Math online?
Yes. TestByState offers Grade 5 Virginia SOL Math practice in a web browser and in its iPhone and iPad app. The free web preview includes three interactive questions. A subscription unlocks saved practice and parent progress.
What does the paid practice include?
Daily Practice (10 questions), Fall Growth Practice (24 questions), Winter Growth Practice (24 questions), Spring SOL Practice (36 questions). Parents can review completed answers and explanations to choose what to practice next. Practice scores are not official state scores.
Grade 5 topics and official resources · App features, question counts, and paper comparison
Grade 5 timing and tools
The spring 2027 non-writing SOL window is April 5–June 17, with each school division selecting its local testing period. VDOE had not published a current 2026–27 Growth administration window when this page was reviewed, so families should confirm fall and winter dates with their school division.
A four-function calculator is available only on eligible questions, including when Growth content rules permit it.
Grade 5 reporting categories
- Computation and Estimation
- Measurement and Geometry
- Number and Number Sense
- Probability, Statistics, Patterns, Functions, and Algebra
Topic Practice
- Computation & Estimation
- Measurement & Geometry
- Number Sense
- Patterns, Functions & Algebra
- Probability & Statistics
Practice response formats
integer entry, matching, fraction model, decimal entry, multiple select, number-line placement, fraction entry, expression entry, line-plot placement.
Practice forms
- Daily Practice: 10 TestByState questions
- Fall Growth Practice: 24 TestByState questions
- Winter Growth Practice: 24 TestByState questions
- Spring SOL Practice: 36 TestByState questions
These are product form counts, not official operational item-count claims.
Standards represented in this grade pack
- 5.CE.1: The student will estimate, represent, solve, and justify solutions to single-step and multistep contextual problems using addition, subtraction, multiplication, and division with whole numbers.
- 5.CE.2: The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition and subtraction of fractions with like and unlike denominators (with and without models), and solve single-step contextual problems involving multiplication of a whole number and a proper fraction, with models.
- 5.CE.3: The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using addition, subtraction, multiplication, and division with decimal numbers.
- 5.CE.4: The student will simplify numerical expressions with whole numbers using the order of operations.
- 5.MG.1: The student will reason mathematically to solve problems, including those in context, that involve length, mass, and liquid volume using metric units.
- 5.MG.2: The student will use multiple representations to solve problems, including those in context, involving perimeter, area, and volume.
- 5.MG.3: The student will classify and measure angles and triangles, and solve problems, including those in context.
- 5.NS.1: The student will use reasoning and justification to identify and represent equivalency between fractions (with denominators that are thirds, eighths, and factors of 100) and decimals; and compare and order sets of fractions (proper, improper, and/or mixed numbers having denominators of 12 or less) and decimals (through thousandths).
- 5.NS.2: The student will demonstrate an understanding of prime and composite numbers, and determine the prime factorization of a whole number up to 100.
- 5.PFA.1: The student will identify, describe, extend, and create increasing and decreasing patterns with whole numbers, fractions, and decimals, including those in context, using various representations.
- 5.PFA.2: The student will investigate and use variables in contextual problems.
- 5.PS.1: The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on line plots (dot plots) and stem-and-leaf plots.
- 5.PS.2: The student will solve contextual problems using measures of center and the range.
- 5.PS.3: The student will determine the probability of an outcome by constructing a model of a sample space and using the Fundamental (Basic) Counting Principle.