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100+ Free OST Grade 4 Math Practice Questions

Pass your Ohio's State Test in Mathematics, Grade 4 exam on the first try — instant access, no signup required.

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An angle measures 45 degrees. What type of angle is it?

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Key Facts: OST Grade 4 Math Exam

Ohio's State Test in Grade 4 Mathematics is the free annual state assessment of Ohio's Learning Standards, reporting in three categories (Multiplication and Division, Fractions, Geometry) plus embedded Modeling and Reasoning, with 700 as the Proficient cut score.

Sample OST Grade 4 Math Practice Questions

Try these sample questions to test your OST Grade 4 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 the value of the digit 7 in the number 47,300?
A.70,000
B.700
C.7,000
D.70
Explanation: In 47,300 the digit 7 is in the thousands place, so its value is 7 x 1,000 = 7,000. Place value tells you what each digit is worth based on its position.
2In the number 3,300, the value of the 3 in the thousands place is how many times the value of the 3 in the hundreds place?
A.100 times
B.10 times
C.3 times
D.1,000 times
Explanation: In a multi-digit number, a digit in one place is worth 10 times what the same digit is worth in the place to its right. The 3 in the thousands place is worth 3,000 and the 3 in the hundreds place is worth 300, and 3,000 is 10 times 300.
3What is 6 x 800?
A.480
B.48,000
C.1,400
D.4,800
Explanation: Multiply the non-zero digits first: 6 x 8 = 48. Then add the two zeros from 800, giving 4,800. This place-value strategy makes multiplying by multiples of 100 quick.
4What is 34 x 6?
A.184
B.204
C.244
D.210
Explanation: Break 34 into 30 + 4. Then 30 x 6 = 180 and 4 x 6 = 24. Add the partial products: 180 + 24 = 204.
5What is 27 x 13?
A.301
B.351
C.361
D.270
Explanation: Use partial products: 27 x 10 = 270 and 27 x 3 = 81. Add them: 270 + 81 = 351. You can also check with the area model splitting 13 into 10 and 3.
6A theater has 48 rows with 25 seats in each row. How many seats are there in all?
A.1,000
B.1,250
C.1,200
D.960
Explanation: Multiply rows by seats: 48 x 25. Using partial products, 48 x 25 = 48 x 20 + 48 x 5 = 960 + 240 = 1,200 seats.
7What is 312 x 4?
A.1,208
B.1,248
C.1,288
D.1,148
Explanation: Multiply each place by 4: 300 x 4 = 1,200, 10 x 4 = 40, and 2 x 4 = 8. Add the partial products: 1,200 + 40 + 8 = 1,248.
8What is 2,145 x 3?
A.6,415
B.6,345
C.6,435
D.6,135
Explanation: Multiply each place by 3: 2,000 x 3 = 6,000, 100 x 3 = 300, 40 x 3 = 120, 5 x 3 = 15. Add them: 6,000 + 300 + 120 + 15 = 6,435.
9What is 56 x 47?
A.2,532
B.2,642
C.2,612
D.2,632
Explanation: Use partial products: 56 x 40 = 2,240 and 56 x 7 = 392. Add them: 2,240 + 392 = 2,632.
10Which expression shows the area model for 23 x 14?
A.(20 x 10) + (3 x 4)
B.(23 x 10) + (23 x 14)
C.(20 x 10) + (20 x 4) + (3 x 10) + (3 x 4)
D.(20 + 10) x (3 + 4)
Explanation: The area model splits each factor by place value: 23 becomes 20 + 3 and 14 becomes 10 + 4. You multiply every part of one factor by every part of the other: (20x10) + (20x4) + (3x10) + (3x4) = 200 + 80 + 30 + 12 = 322.

About the OST Grade 4 Math Exam

Ohio's State Test in Mathematics for Grade 4 is the annual state assessment that measures how well fourth graders have mastered Ohio's Learning Standards for Mathematics (2017). The online test reports results in three content reporting categories: Multiplication and Division (about 33-43% of points), Fractions (about 33-43%), and Geometry (about 21-27%). A separate Modeling and Reasoning category, drawn from the Standards for Mathematical Practice, is embedded across the content items and accounts for at least 20 percent of the points. The test uses multiple-choice, multi-select, equation, and technology-enhanced item types and is worth roughly 49 to 51 score points. Scores range from about 605 to 835, with 700 marking the Proficient level. Results help families, teachers, and schools understand student progress toward college and career readiness.

Questions

100 scored questions

Time Limit

Given in two parts; the Grade 4 mathematics test typically takes about 90 to 100 minutes total, and students may take the time they reasonably need.

Passing Score

Scale score 700 or higher is Proficient; 725-758 is Accomplished and 759-835 is Advanced. For accountability, Proficient, Accomplished, and Advanced all count as passing.

Exam Fee

Free; Ohio's State Tests are funded by the state and districts, with no cost to students or families. (Ohio Department of Education and Workforce, with Cambium Assessment, Inc. as the testing vendor.)

OST Grade 4 Math Exam Content Outline

38%

Multiplication and Division

Multi-digit multiplication and division, place value, factors and multiples, prime and composite numbers, patterns, rounding, and multi-step problems (4.OA, 4.NBT).

38%

Fractions

Equivalence, comparing fractions and decimals, adding and subtracting fractions and mixed numbers, multiplying fractions by whole numbers, and line plots (4.NF, 4.MD.4).

24%

Geometry

Lines and angles, parallel and perpendicular lines, classifying shapes, symmetry, angle measurement, and area and perimeter of rectangles (4.G, 4.MD.1, 4.MD.5-7).

How to Pass the OST Grade 4 Math Exam

What You Need to Know

  • Passing score: Scale score 700 or higher is Proficient; 725-758 is Accomplished and 759-835 is Advanced. For accountability, Proficient, Accomplished, and Advanced all count as passing.
  • Exam length: 100 questions
  • Time limit: Given in two parts; the Grade 4 mathematics test typically takes about 90 to 100 minutes total, and students may take the time they reasonably need.
  • Exam fee: Free; Ohio's State Tests are funded by the state and districts, with no cost to students or 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 4 Math Study Tips from Top Performers

1Master multi-digit multiplication and long division using place-value strategies, area models, and partial products.
2Build fraction sense by comparing fractions to benchmarks like 1/2 and finding equivalent fractions with visual models.
3Practice converting between fractions with denominators 10 and 100 and their decimal forms (tenths and hundredths).
4Learn the vocabulary of lines and angles, including parallel, perpendicular, acute, right, obtuse, and straight.
5Use the formulas area = length x width and perimeter = 2 x (length + width) and practice working backward to find a missing side.
6Take short, frequent mixed-review quizzes and explain your reasoning in writing to prepare for Modeling and Reasoning items.

Frequently Asked Questions

What is Ohio's State Test in Grade 4 Mathematics?

It is the annual state assessment that measures how well fourth-grade students have learned Ohio's Learning Standards for Mathematics. It is given online and reports results in three content categories plus an embedded Modeling and Reasoning category.

What topics are on the Grade 4 math test?

The test covers Multiplication and Division (about 33-43% of points), Fractions (about 33-43%), and Geometry (about 21-27%). Skills include multi-digit computation, fractions, decimals, factors and multiples, angles, and area and perimeter.

How is the Grade 4 math test scored?

Scores are reported on a scale from about 605 to 835. A score of 700 or higher is Proficient. The five performance levels are Limited, Basic, Proficient, Accomplished, and Advanced.

Is there a cost to take Ohio's State Test?

No. Ohio's State Tests are funded by the state and school districts as part of public-school accountability, so there is no cost to students or families.

What item types appear on the test?

The online test uses multiple-choice, multi-select, equation or numeric entry, and technology-enhanced items that ask students to drag, drop, or build models, as well as items that require reasoning and explanation.

How can my child prepare for the Grade 4 math test?

Use short, frequent mixed-review sessions focused on multiplication, division, fractions, decimals, and geometry. Practice with standards-aligned questions, draw models for problems, and explain reasoning out loud.