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100+ Free OST Grade 5 Math Practice Questions

Pass your Ohio State Test (OST) Mathematics, Grade 5 exam on the first try — instant access, no signup required.

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What is 2/3 x 3/5?

A
B
C
D
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Key Facts: OST Grade 5 Math Exam

The OST Grade 5 Math test is Ohio's free, standards-based assessment covering Fractions, Decimals, and Geometry; students earn about 49-51 points online in roughly 150 minutes, with 700 marking Proficient.

Sample OST Grade 5 Math Practice Questions

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

1What is 1/4 + 2/4?
A.2/8
B.3/8
C.3/4
D.1/2
Explanation: When fractions have the same denominator, add only the numerators and keep the denominator. So 1/4 + 2/4 = (1+2)/4 = 3/4.
2What is 1/2 + 1/3?
A.2/5
B.5/6
C.1/5
D.2/6
Explanation: Rewrite each fraction with the common denominator 6: 1/2 = 3/6 and 1/3 = 2/6. Then 3/6 + 2/6 = 5/6.
3What is 3/4 - 1/2?
A.2/2
B.1/2
C.1/8
D.1/4
Explanation: Rewrite 1/2 as 2/4 so both fractions share the denominator 4. Then 3/4 - 2/4 = 1/4.
4What is 2/3 + 1/6?
A.3/9
B.5/6
C.2/9
D.1/2
Explanation: Rewrite 2/3 as 4/6 so both fractions share the denominator 6. Then 4/6 + 1/6 = 5/6.
5What is 5/6 - 1/3?
A.4/3
B.1/2
C.1/3
D.2/3
Explanation: Rewrite 1/3 as 2/6 so both fractions share the denominator 6. Then 5/6 - 2/6 = 3/6, which simplifies to 1/2.
6What is 1 1/4 + 2 1/2?
A.3 2/6
B.3 1/4
C.3 3/4
D.4 1/4
Explanation: Add the whole numbers: 1 + 2 = 3. Rewrite 1/2 as 2/4, then add fractions: 1/4 + 2/4 = 3/4. The total is 3 3/4.
7A recipe needs 3/8 cup of sugar and 1/4 cup of brown sugar. How much sugar is needed in all?
A.4/12 cup
B.5/8 cup
C.1/2 cup
D.4/8 cup
Explanation: Rewrite 1/4 as 2/8 so both fractions share the denominator 8. Then 3/8 + 2/8 = 5/8 cup.
8Estimate the sum of 7/8 + 1/12. Which whole number is the sum closest to?
A.0
B.2
C.1
D.3
Explanation: 7/8 is close to 1, and 1/12 is close to 0. So the sum is about 1 + 0 = 1. The exact sum is slightly more than 1.
9What is 2/3 of 9?
A.3
B.18
C.4
D.6
Explanation: To find 2/3 of 9, multiply: (2/3) x 9 = 18/3 = 6. You can also divide 9 by 3 to get 3, then multiply by 2 to get 6.
10What is 3/4 x 1/2?
A.4/6
B.3/2
C.3/8
D.1/2
Explanation: Multiply the numerators and multiply the denominators: (3 x 1)/(4 x 2) = 3/8.

About the OST Grade 5 Math Exam

The Ohio State Test (OST) in Mathematics for Grade 5 measures how well fifth graders have mastered Ohio's Learning Standards for Mathematics (2017). The test is built around three reporting categories defined in the official blueprint: Fractions (33-43% of the test), Decimals (33-43%), and Geometry (21-27%). Fifth-grade content emphasizes operations with decimals, multiplying and dividing fractions, volume of rectangular prisms, the first-quadrant coordinate plane, order of operations with parentheses, and converting measurement units. The test is administered online in the spring in two parts totaling about 150 minutes, using multiple-choice and technology-enhanced items, with a reference sheet of measurement conversions available to students. Results are reported on a scale where 700 is Proficient and 725 (Accomplished) signals readiness for the next grade.

Questions

100 scored questions

Time Limit

About 150 minutes total, divided into two parts of roughly 75 minutes each.

Passing Score

Scale score of 700 is Proficient; 725 (Accomplished) indicates on track for college and career readiness. Performance levels are Limited, Basic, Proficient, Accomplished, and Advanced.

Exam Fee

Free; the Ohio State Tests are state-funded and given through public schools at no cost to families. (Ohio Department of Education and Workforce, with testing delivered by Cambium Assessment through Ohio's State Tests portal.)

OST Grade 5 Math Exam Content Outline

33-43%

Fractions

Add and subtract fractions with unlike denominators, multiply fractions and mixed numbers, divide unit fractions and whole numbers, interpret fractions as division, and solve line-plot problems (5.NF.1-7, 5.MD.2).

33-43%

Decimals

Place value to thousandths, powers of 10, reading and comparing and rounding decimals, decimal operations, multi-digit multiplication and division, numerical expressions with parentheses, and measurement conversion (5.OA.1-2, 5.NBT.1-7, 5.MD.1).

21-27%

Geometry

Volume of rectangular prisms, the first-quadrant coordinate plane, generating numerical patterns and ordered pairs, and classifying triangles and quadrilaterals (5.MD.3-5, 5.OA.3, 5.G.1-4).

How to Pass the OST Grade 5 Math Exam

What You Need to Know

  • Passing score: Scale score of 700 is Proficient; 725 (Accomplished) indicates on track for college and career readiness. Performance levels are Limited, Basic, Proficient, Accomplished, and Advanced.
  • Exam length: 100 questions
  • Time limit: About 150 minutes total, divided into two parts of roughly 75 minutes each.
  • Exam fee: Free; the Ohio State Tests are state-funded and given through public schools at no cost to families.

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

OST Grade 5 Math Study Tips from Top Performers

1Practice fraction operations daily, since Fractions can make up to 43% of the test, including multiplying, dividing, and adding unlike denominators.
2Drill decimal place value, powers of 10, and rounding so multi-step decimal problems feel automatic.
3Memorize the volume formulas V = length x width x height and V = base area x height for rectangular prisms.
4Use the Grade 5 reference sheet conversions, such as 1 yard = 3 feet and 1 pound = 16 ounces, while practicing unit-conversion problems.
5Plot points carefully in the first quadrant, remembering the x-coordinate moves right and the y-coordinate moves up.
6Work order-of-operations problems with parentheses, doing the grouped operation first before multiplying or adding.

Frequently Asked Questions

What is the Ohio State Test (OST) Grade 5 Mathematics?

It is Ohio's state assessment that measures whether fifth graders have mastered Ohio's Learning Standards for Mathematics (2017). It is administered online by the Ohio Department of Education and Workforce, usually in the spring.

What topics are on the OST Grade 5 Math test?

The official blueprint groups the test into three reporting categories: Fractions (33-43%), Decimals (33-43%), and Geometry (21-27%). Together they cover fraction and decimal operations, volume, the coordinate plane, and classifying shapes.

How long is the OST Grade 5 Math test?

The test is about 150 minutes total, divided into two parts of roughly 75 minutes each. It contains about 49-51 points of operational items in multiple-choice and technology-enhanced formats.

What score is considered passing on the OST Grade 5 Math test?

Scores are reported on a scale with five performance levels. A scale score of 700 reaches Proficient, and 725 (Accomplished) indicates a student is on track for college and career readiness.

Can students use a calculator or reference sheet on the Grade 5 math test?

Students in grades 4 and above may use the provided Mathematics reference sheet of measurement conversions. A calculator is not part of the standard Grade 5 mathematics tools; students compute by hand and with strategies they learned in class.

How much does the OST Grade 5 Math test cost?

Nothing. The Ohio State Tests are state-funded and administered through public schools, so families pay no fee to take the assessment.