FREE 5th Grade OST Math Practice Test

10 Full-Length STAAR Grade 5 Math Practice Tests The Practice You Need to Ace the STAAR Grade 5 Math Test

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For this practice test, we’ve selected 20 real questions from past exams for your students’ OST Practice test. Your student will have the chance to try out the most common 5th Grade OST Math questions. For every question, there is an in-depth explanation of how to solve the question and how to avoid mistakes next time.

Use our free 5th Grade OST Math practice tests and study resources (updated for 2026) to help your students ace the 5th Grade OST Math test! Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions students need to practice. For education statistics and research, visit the National Center for Education Statistics.

The Absolute Best Book to Ace the 5th Grade OST Math Test

5 Full-Length Common Core Grade 5 Math Practice Tests The Practice You Need to Ace the Common Core Math Test

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10 Sample 5th Grade OST Math Practice Questions

1- How long is the line segment shown on the number line below?

A. 6

B. 7

C. 8

D. 9

2- If a rectangle is 30 feet by 45 feet, what is its area?

A. 1350

B. 1250

C. 1000

D. 870

3- If a vehicle is driven 32 miles on Monday, 35 miles on Tuesday, and 29 miles on Wednesday, what is the average number of miles driven each day?

A. 32

B. 33

C. 34

D. 35

4- Peter traveled 120 miles in 4 hours, and Jason traveled 160 miles in 8 hours. What is the ratio of the average speed of Peter tothe average speed of Jason?

A. 3: 2

B. 2: 3

C. 5: 9

D. 5: 6

5- If \(x=- 8\), which equation is true?

A. \(x(2x-4)=120\)

B. \(8 (4-x)=96\)

C. \(2 (4x+6)=79\)

D. \(6x-2=-46\)

6- A circle has a diameter of 8 inches. What is its approximate circumference?
(\(π = 3.14\))

A. 6.28 inches

B. 25.12 inches

C. 34.85 inches

D. 35.12 inches

7- A woman owns a dog walking business. If 3 workers can walk 9 dogs, how many dogs can 5 workers walk?

A. 13

B. 15

C. 17

D. 19

8- What are the coordinates of the intersection of \(x\)–axis and the \(y\)–axis on a coordinate plane?

A. \((5, 5)\)

B. \((1, 1)\)

C. \((0, 0)\)

D. \((0, 11)\)

9- Jack added 19 to the product of 16 and 26. What is this sum?

A. 61

B. 330

C. 435

D. 135

10- Joe makes $4.75 per hour at his work. If he works 8 hours, how much money will he earn?

A. $32.00

B. $34.75

C. $36.50

D. $38.00

11- Which of the following is an obtuse angle?

A. 89\(^\circ\)

B. 55\(^\circ\)

C. 143\(^\circ\)

D. 235\(^\circ\)

12- What is the value of \(6 – 3 \frac{4}{9}\)?

A. \(\frac{23}{9}\)

B. \(3\frac{4}{9}\)

C. \(-\frac{1}{9}\)

D. \(\frac{42}{9}\)

13- The bride and groom invited 220 guests for their wedding. 190 guests arrived. What percent of the guest list was not present?

A. \(90\%\)

B. \(20\%\)

C. \(23.32\%\)

D. \(13.64\%\)

14- Frank wants to compare these two measurements.
\(18.023 \space kg \space ……. \space 18,023 \space g\)
Which symbol should he use?

A. \(<\)

B. \(>\)

C. \(≠\)

D. \(=\)

15- Aria was hired to teach three identical 5th-grade math courses, which entailed being present in the classroom 36 hours altogether. At $25 per class hour, how much did Aria earn for teaching one course?

A. $50

B. $300

C. $600

D. $1400

16- In a classroom of 60 students, 22 are male. What percentage of the class is female?

A. \(51\%\)

B. \(59\%\)

C. \(63\%\)

D. \(73\%\)

17- In a party, 6 soft drinks are required for every 9 guests. If there are 171 guests, how many soft drinks are required?

A. 9

B. 27

C. 114

D. 171

18- While at work, Emma checks her email once every 90 minutes. In 9 hours, how many times does she check her email?

A. 4 Times

B. 5 Times

C. 6 Times

D. 7 Times

19- In a classroom of 44 students, 18 are male. About what percentage of the class is female?

A. \(63\%\)

B. \(51\%\)

C. \(59\%\)

D. \(53\%\)

20- A florist has 516 flowers. How many full bouquets of 12 flowers can he make?

A. 40

B. 41

C. 43

D. 45

Best 5th Grade OST Math Exercise Resource for 2026

Common Core Math Exercise Book for Grade 5 Student Workbook and Two Realistic Common Core Math Tests

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Answers:

2- A
Use the area of a rectangle formula.
Area \(=\) length \(×\) width \(⇒ A = 30 × 45 ⇒ A = 1,350\)

3- A
\(average (mean) = \frac{sum \space of \space terms}{number \space of \space terms}⇒ average= \frac{32+35+29}{3}⇒ average = 32\)

4- A
Peter’s speed \(= \frac{120}{4}= 30\)
Jason’s speed \(= \frac{160}{8}=20\)
\(\frac{The \space average \space speed \space of \space peter}{The \space average \space speed \space of \space Jason}=\frac{30}{20}\)
equals to: \(\frac{3}{2}\)or 3: 2

5- B
Plug in \(x=- 8\) in each equation.
\(x(2x-4)=120→(-8)(2(-8)-4)=(-8)×(-16-4)=160\)
\(8 (4-x)=96→8(4-(-8)=8(12)=96\)
\(2 (4x+6)=79→2(4(-8)+6)=2(-32+6)=-52\)
\(6x-2=-46→6(-8)-2=-48-2=-50\)
Only option B is correct.

6- B
The diameter of the circle is 8 inches. Therefore, the radius of the circle is 4 inches.
Use the circumference of a circle formula.
\(C = 2πr ⇒ C = 2 × 3.14 × 4 ⇒ C = 25.12\)

7- B
3 workers can walk 9 dogs ⇒ 1 worker can walk 3 dogs.
5 workers can walk \((5 × 3) 15\) dogs.

8- C
The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.

9- C
\(19 + (16 × 26) = 19 + 416 = 435\)

10- D
1 hour: \($4.75\)
8 hours: \(8 × $4.75 = $38\)

11- C
An obtuse angle is an angle of greater than 90\(^\circ\) and less than 180\(^\circ\). From the options provided, only option C (143 degrees) is an obtuse angle.

12- A
\(6 – 3\frac{4}{9}=\frac{54}{9}-\frac{31}{9}=\frac{23}{9}\)

13- D
The number of guests that are not present are \((220 – 190) 30\) out of \(220 =\frac{30}{220}\)
Change the fraction to percent:
\(\frac{30}{220}×100\%=13.64\%\)

14- D
Each kilogram is 1,000 grams.
18,023 grams \(= (\frac{18,023}{1,000}) =18.023\) kilograms.
Therefore, two amounts provided are equal.

15- B
Aria teaches 36 hours for three identical courses. Therefore, she teaches 12 hours for each course. Aria earns $25 per hour. Therefore, she earned $300 (\(12 × 25\)) for each course.

16- C
The number of female students in the class is \((60 – 22) 38\) out of \(60 = \frac{38}{60}\)
Change the fraction to a percent:
\(\frac{38}{60} 3 ×100\%=63\%\)

17- C
Write a proportion and solve.
\(\frac{6 \space soft \space drinks}{9 \space guests}=\frac{x}{171 \space guests}\)
\(x =\frac{171×6}{9}⇒x=114\)

18- C
Every 90 minutes Emma checks her email.
In 9 hours (540 minutes), Emma checks her email \((540 ÷ 90) 6\) times.

19- C
There are 44 students in the class. 18 of the are male and 26 of them are female.
26 out of 44 are female. Then:
\(\frac{26}{44}=\frac{x}{100}→2,600=44x→x=2,600÷44≈59\%\)

20- C
Divide the number flowers by \(12: 516 ÷ 12 = 43\)

Looking for the best resource to help you succeed on the 5th Grade OST Math test?

The Best Books to Ace the 5th Grade OST Math Test

Recommended EffortlessMath Books

For a workbook that covers every grade 5 OST topic step by step, the Grade 5 Common Core Math Exercise Book walks through each standard with worked examples your child can follow. For more grade 5 practice tests, see the 10 Full-Length Grade 5 Math Practice Tests.

Frequently Asked Questions

How many questions are on the 5th Grade OST Math test?

The Ohio State Test (OST) Grade 5 Math has about 45-50 items split across two parts (one calculator-inactive, one calculator-active with technology-enhanced items). This free practice gives you 20 sample questions covering the same topics in a focused sitting.

Is a calculator allowed on the 5th Grade OST Math?

Yes, but only on Part 2 (the calculator-active section). Ohio provides an embedded online calculator on the testing platform. Part 1 is calculator-inactive to test computational fluency. Your child should practice both styles.

How long is the 5th Grade OST Math test?

Each of the two parts has a 90-minute time limit. Most fifth graders finish each part well within the time. Total testing is about 3 hours across two sittings, usually scheduled on separate days during the spring window.

How is the OST Math scored?

Each grade gets a scale score and a performance level: Limited, Basic, Proficient, Accelerated, or Advanced. Ohio targets Proficient or above as the grade-level expectation. The score report also breaks down performance by reporting category.

What topics are on the 5th Grade OST Math?

Operations and algebraic thinking (numerical expressions with parentheses, brackets, braces), number and operations in base ten (place value with decimals, multi-digit multiplication, decimal arithmetic), fractions (adding/subtracting unlike denominators, multiplying, dividing unit fractions), measurement and data (volume of right rectangular prisms, line plots), and geometry (coordinate plane, hierarchy of 2D shapes).

Can my child retake the 5th Grade OST Math?

The OST is given once per spring. There’s no individual retake within the year. If your child misses the original date due to absence, a make-up is scheduled within the testing window.

How long should we prepare for the 5th Grade OST Math?

For most fifth graders, 5-7 weeks of practice at 20-25 minutes a day works well. If fraction operations are still shaky, spend the first 2 weeks on fraction arithmetic before adding decimal multiplication and volume work. Use this practice test first to spot weak topics.

Is the OST aligned to Common Core?

Ohio adopted Common Core in 2010, then revised the standards and renamed them Ohio’s Learning Standards. The grade 5 math content still aligns closely with CCSS 5.OA, 5.NBT, 5.NF, 5.MD, and 5.G, with some Ohio-specific wording.

What’s the hardest part of the 5th Grade OST Math for most kids?

Three common stumbling blocks: dividing fractions (especially whole-number-by-unit-fraction), multiplying decimals correctly placing the decimal point, and volume word problems with composite figures. All three reward step-by-step work and clear notation.

Where can I find more 5th Grade OST practice?

EffortlessMath has lessons for every grade 5 Ohio’s Learning Standards math topic, plus the grade 5 Common Core workbook (which covers the same content) and additional full-length grade 5 practice tests.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

• How to divide fractions
• Multiply and divide decimals
• Order of operations (PEMDAS)
• Area and perimeter
• Place value