Free Practice Questions for WVGSA Grade 5 Math

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Key Facts: WVGSA Grade 5 Math Exam

WVDE

State Board

West Virginia Department of Education

Grade 5

Grade Level

WV College- and Career-Readiness Standards

100 Questions

Question Count

OpenExamPrep Practice Bank

Levels 1 to 4

Performance Scale

WVGSA Performance Levels

Prepare for the WVGSA Grade 5 Math exam with 100 practice questions and detailed explanations covering topics from West Virginia Department of Education standards.

Sample WVGSA Grade 5 Math Practice Questions

Try these sample questions to review concepts for the WVGSA Grade 5 Math exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Evaluate the following numerical expression: 4 × (6 + 3) - 5.

A.31

B.29

C.39

D.21

Explanation: According to the order of operations (PEMDAS), perform the addition inside parentheses first: 6 + 3 = 9. Next, perform multiplication: 4 × 9 = 36. Finally, subtract 5: 36 - 5 = 31.

2Which expression represents the phrase 'multiply 8 by the sum of 5 and 3'?

A.8 + (5 × 3)

B.8 × (5 + 3)

C.(8 × 5) + 3

D.8 × 5 + 3

Explanation: The 'sum of 5 and 3' is written as (5 + 3). Multiplying 8 by this sum requires grouping the addition in parentheses: 8 × (5 + 3).

3What is the value of the digit 7 in the number 45.672?

A.7 tenths (0.7)

B.7 hundredths (0.07)

C.7 thousandths (0.007)

D.7 tens (70)

Explanation: In 45.672, 6 is in the tenths place, 7 is in the hundredths place, and 2 is in the thousandths place. The digit 7 represents 7 hundredths, or 0.07.

4What is the product of 3.45 × 10²?

A.34.5

B.345

C.3,450

D.0.345

Explanation: 10² equals 100. Multiplying a decimal number by 10² shifts the decimal point 2 places to the right: 3.45 × 100 = 345.

5Calculate: 68.4 ÷ 10¹.

A.684

B.0.684

C.6.84

D.68.40

Explanation: 10¹ equals 10. Dividing a decimal number by 10 shifts the decimal point 1 place to the left: 68.4 ÷ 10 = 6.84.

6What is 14.836 rounded to the nearest hundredth?

A.14.8

B.14.83

C.14.84

D.15.0

Explanation: To round 14.836 to the nearest hundredth, look at the thousandths digit (6). Since 6 is greater than or equal to 5, round the hundredths digit (3) up to 4, giving 14.84.

7What is 7.394 rounded to the nearest tenth?

A.7.3

B.7.4

C.7.39

D.7.0

Explanation: To round 7.394 to the nearest tenth, check the hundredths digit (9). Because 9 is 5 or greater, round the tenths digit (3) up to 4, resulting in 7.4.

8Maya bought a notebook for $3.45 and a gel pen for $1.85. How much did she spend in total?

A.$5.20

B.$5.30

C.$4.30

D.$5.40

Explanation: Add the two amounts: $3.45 + $1.85. Adding the hundredths: 0.05 + 0.05 = 0.10. Adding the tenths: 0.40 + 0.80 + 0.10 = 1.30. Adding the dollars: $3 + $1 + $1 = $5.30.

9Liam had a $20.00 bill. He purchased a chapter book for $12.45. How much change did he receive?

A.$7.55

B.$8.55

C.$7.45

D.$8.45

Explanation: Subtract the cost from the total money: $20.00 - $12.45 = $7.55. You can check by adding $12.45 + $7.55 = $20.00.

10Calculate the product: 125 × 14.

A.1,650

B.1,750

C.1,850

D.1,700

Explanation: Multiply using partial products: 125 × 10 = 1,250 and 125 × 4 = 500. Then add 1,250 + 500 = 1,750.

About the WVGSA Grade 5 Math Exam

The WVGSA Grade 5 Math assessment measures student proficiency in multi-digit operations, decimal place value and calculations, fraction operations, measurement conversions, volume of rectangular prisms, and coordinate graphing under WV College- and Career-Readiness Standards.

Exam sponsor: West Virginia Department of Education (WVDE). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Single or multi-session computer-adaptive mathematics assessment.

Time Limit

Untimed; estimated 2 hours total

Passing Score

Reported across four performance levels: Does Not Meet, Partially Meets, Meets, or Exceeds Standard.

Exam / Certification Fees

$0 (State Funded)

Exam sponsor website

Reported exam pass rate: Statewide performance levels published annually by WVDE.. Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

West Virginia Department of Education Assessment Portal (wvde.us/assessment/)
West Virginia College- and Career-Readiness Standards for Mathematics Grade 5
WV Practice Test Portal via Cambium Assessment, Inc.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

40%

Operations, Algebraic Thinking & Decimals

Numerical expressions, pattern rules, multi-digit whole number multiplication and division, decimal place value, comparing/rounding decimals, and decimal operations.

30%

Fractions

Adding and subtracting fractions with unlike denominators, fraction word problems, fractions as division, fraction multiplication, area with fractional sides, scaling, and fraction division.

30%

Measurement, Data & Geometry

Measurement conversions, fractional line plots, volume concepts and calculations, composite rectangular prism volume, coordinate grid plotting, and 2D figure classification.

Preparing for the WVGSA Grade 5 Math Exam

What You Need to Know

Passing score: Reported across four performance levels: Does Not Meet, Partially Meets, Meets, or Exceeds Standard.
Assessment: Single or multi-session computer-adaptive mathematics assessment.
Time limit: Untimed; estimated 2 hours total
Exam / certification fees: $0 (State Funded) Official sources

Using Our Practice Resources

Work through all 100 available questions
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WVGSA Grade 5 Math: Suggested Study Strategy

1Double-check decimal point placement in multiplication and division problems.

2Always find common denominators before adding or subtracting fractions.

3Remember the volume formula V = length x width x height for rectangular prisms.

4Read coordinate points as (x, y), moving horizontal (x) first, then vertical (y).

Frequently Asked Questions

What topics are tested on the WVGSA Grade 5 Math test?

The test covers 5th grade standards across Operations/Algebra/Decimals (40%), Fractions (30%), and Measurement/Data/Geometry (30%).

Is a calculator allowed on the WVGSA Grade 5 Math exam?

Calculators are permitted on specific sections of the Grade 5 assessment, but students must demonstrate basic calculation skills without a calculator on basic computation items.

How are scores reported on the WVGSA Grade 5 Math test?

Scores are categorized into Level 1 (Does Not Meet), Level 2 (Partially Meets), Level 3 (Meets), or Level 4 (Exceeds Standard).

How should students prepare for Grade 5 WVGSA Math?

Students should focus on mastering fraction arithmetic with unlike denominators, multi-step word problems involving decimals, volume calculations, and coordinate plane graphing.

Free Practice Questions for WVGSA Grade 5 Math

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