FREE 4th Grade OST Math Practice Test
TL;DR: Try a free 4th Grade Ohio State Test (OST) Math practice test with 20 real-style questions. The real OST Grade 4 math test is roughly 40-50 questions in two parts, no calculator allowed. Use this set to spot the weak topics before your child takes the real test.
Key takeaways:
- This practice set has 20 questions modeled on the real OST Grade 4 math test.
- Real OST Grade 4 math: about 40-50 items across 2 parts.
- Calculators are NOT allowed in grade 4.
- 5 performance levels: Limited, Basic, Proficient, Accelerated, Advanced – aim for Proficient or higher.
- Test is taken online; your child should be comfortable with drag-and-drop and equation-editor items.
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 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 OST Math practice tests and study resources (updated for 2026) to help your students ace the 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.
The Absolute Best Book to Ace the 4th Grade OST Math Test
10 Sample 4th Grade OST Math Practice Questions
1- Jamie has 6 quarters, 9 dimes, and 11 pennies. How much money does Jamie have?
A. 150 pennies
B. 240 pennies
C. 251 pennies
D. 281 pennies
2- Jeb paid $72 for a magazine subscription. If he is paying $4 for each issue of the magazine, how many issues of the magazine will he receive?
A. 18
B. 20
C. 22
D. 24
3- What is the perimeter of the triangle?
A. 27 inches
B. 31 inches
C. 43 inches
D. 192 inches
4- The figure below shows a diagram of a reading room.
A. 6 ft
B. 12 ft
C. 20 ft
D. 50 ft
5- Which triangle has one obtuse angle?
A.
B.
C.
D.
6- A building is 36 feet high. What is the height of the building in yards?
A. 1 yard
B. 3 yard
C. 12 yard
D. 108 yards
7- The sum of A and B equals 35. If A \(= 16\), which equation can be used to find the value of B?
A. \(B – 16 = 35\)
B. \(B + 16 = 35\)
C. \(A + 16 = 35\)
D. \(A – 16 = 35\)
8- Which number is represented by \(A\)?
\(9 × A = 108\)
A. 9
B. 10
C. 11
D. 12
9- A straight line measures 180\(^\circ\). A straight line and a triangle are touching as shown in the figure below.
What is the value of A in the figure?
A. 64
B. 84
C. 90
D. 96
10- What is the perimeter of this shape?
A. 14
B. 48
C. 18
D. 16
11- The temperature on Sunday at 12:00 PM was 76\(^\circ\)F. Low temperature on the same day was 24\(^\circ\)F cooler. Which temperature is closest to the low temperature on that day?
A. 76\(^\circ\)F
B. 52\(^\circ\)F
C. 51\(^\circ\)F
D. 75\(^\circ\)F
12- The number 47.06 can be expressed as _________
A. \((4 × 10) + (7 × 1) + (6 × 0.01)\)
B. \((4 × 10) + (7 × 1) + (6 × 0.1)\)
C. \((4 × 1) + (7 × 1) + (0 × 1) + (6 × 1)\)
D. \((4 × 10) + (7 × 1) + (0 × 10) + (6 × 100)\)
13- There are 365 days in a year, and 24 hours in a day. How many hours are in a year?
A. 2190
B. 7440
C. 7679
D. 8760
14- On Saturday Lily was a referee at 3 soccer games. She arrived at the soccer field 15 minutes before the first game. Each game lasted for \(\frac{11}{2}\) hours. There were 5 minutes between each game. Lily left 10 minutes after the last game. How long, in minutes, was Lily at the soccer field?
A. 300 minutes
B. 305 minutes
C. 480 minutes
D. 485 minutes
15- Which shape shows a line of symmetry?
A.
B.
C.
D.
16- Which fraction has the least value?
A. \(\frac{1}{2}\)
B. \(\frac{3}{8}\)
C. \(\frac{3}{4}\)
D. \(\frac{9}{16}\)
17- Lisa has 336 pastilles. She wants to put them in boxes of 12 pastilles. How many boxes does he need?
A. 20
B. 22
C. 24
D. 28
18- What is the volume of the cube?
19- To what number is the arrow pointing?
A. 26
B. 28
C. 30
D. 33
20- What mixed number is shown by the shaded rectangles?
A. \(3\frac{1}{2}\)
B. \(4\frac{1}{2}\)
C. 3
D. 4
Best 4th Grade OST Math Prep Resource for 2026
Answers:
1- C
\(6\) quarters \(= 6 × 25\) pennies \(=150\) pennies
\(9\) dimes \(= 9 ×10 \)pennies \(= 90\) pennies
In total, Nicole has 251 pennies
2- A
\(1\) issue\(= $4\)
How many issues? \(= $72\)
\($72 ÷ $4= 18\) issue
3- C
Use the perimeter of a triangle formula.
\(P = a + b + c\)
\(P = 12 + 15 + 16 = 43\) inches
4- C
Use the perimeter of a rectangle formula.
\(P = 2(L + W)\)
\(60 = 2(10+W) ⇒ 2W = 40 ⇒ W = 20 \)feet
5- B
An obtuse triangle is one with one obtuse angle (greater than 90\(^\circ\)) and two acute angles. Since a triangle’s angles must sum to 180\(^\circ\), no triangle can have more than one obtuse angle.
6- C
\(1\) foot \(= 0.333 \)yard
So \(36\) foot \(= 12\) yards \((36 × 0.33)\)
7- B
The sum of \(A\) and \(B\) equals \(35: A + B = 35\), if \(A = 16\) we have \(16 +B = 35\)
8- D
\(A = 108 ÷ 9 = 12\)
9- B
The sum of these three angles is 180\(^\circ\).
\(A^\circ + 80^\circ + 16^\circ = 180^\circ\)
\(A^\circ =180^\circ – 96^\circ = 84^\circ\)
10- C
Use the perimeter of a trapezoid formula.
\(P = a + b + c + d\)
\(P = 2+ 6 + 2+ 8 =18\)
11- B
Low temperature is 24\(^\circ\)f cooler than the temperature at 12:00 PM that is 76of, that means low temperature is 52\(^\circ\)f (76\(^\circ\)f \(-\) 24\(^\circ\)f) that is close to choice B
12- A
\((4 × 10) + (7 × 1) + (6 × 0.01) = 40 + 7 + 0.06 = 47.06\)
13- D
1 year \(=\) 365 days, 1 day \(=\) 24 hours
1 year \(=\) 365 × 24
1 year \(=\) 8,760
14- B
Each game = \(\frac{11}{2}\) hours = 90 minutes so 3 games = \(\frac{41}{2}\) hours = 270 minutes
5minutes between each game, so there are 10 minutes in total between 3 games.
She arrived 15 minutes before the first game and left 10 minutes after the last game.
In total, she was \(270+10+15+10 =305\) minutes at the soccer field.
15- A
You can find if a shape has a Line of Symmetry by folding it. When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry. Here, the first shape shows a line of symmetry.
16- B
Find the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then we compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least.
LCD of 2, 8, 4 and 16 is 16. Rewrite the input fractions as equivalent fractions using the LCD:
A. \(\frac{8}{16}\)
B. \(\frac{6}{16}\)
C. \(\frac{12}{16}\)
D. \(\frac{9}{16}\)
So choice B has the least value.
17- D
12 pastilles\(=\) 1 box
336 pastilles\(=\) (\(336 ÷12 = 28\)) boxes
18- 64
Use the volume of a cube formula:
V\(=a^3\)
V\(=4^3 =64\)
19- C
The arrow shows exactly the middle of the two numbers 25 and 35, so the answer is 30
20- A
This shape shows 3 complete shaded triangles and half a triangle that is equal to \(3\frac{1}{2}\)
Looking for the best resource to help you succeed on the 4th Grade OST Math test?
The Best Books to Ace the 4th Grade OST Math Test
Recommended EffortlessMath Books
For structured prep alongside this practice test, the Common Core Mathematics Workbook for Grade 4 covers every Ohio Learning Standards topic with step-by-step worked examples. For multiple timed practice tests, see the Grade 4 Math Practice Tests bundle.
Frequently Asked Questions
How many questions are on the 4th Grade OST math test?
The real Ohio State Test (OST) Grade 4 math is about 40-50 questions split across two test parts. Each part takes 60-90 minutes. Question types include multiple choice, multi-select, drag-and-drop, drawing, and a few open-response items. Our practice set has 20 of the most common question types.
Is a calculator allowed on the 4th Grade OST math?
No. Calculators are not allowed on the Grade 4 OST math test. Ohio starts calculator use on the math test in grade 6. Your fourth grader should practice multi-digit multiplication, long division, and fraction work by hand.
What score does my child need on the 4th Grade OST?
Ohio reports 5 performance levels: Limited, Basic, Proficient, Accelerated, and Advanced. “Proficient” is the state’s on-grade-level expectation and roughly corresponds to a scale score of 700 on the math test. Accelerated and Advanced require higher cutoffs that vary slightly by year.
When is the OST given?
Ohio gives the end-of-year OST in the spring, typically March through early May. Your child’s district picks the exact testing days within the state window. Check the school calendar or ask the testing coordinator for the specific dates.
How is the OST Grade 4 math scored?
Each test part produces a partial score; together they roll up into a single math scale score (roughly 526-800 at grade 4) and one of 5 performance levels. Open-response items are scored by trained readers; the rest is auto-scored. Reports come home with your child’s spring score letter.
Can my child retake the OST?
The end-of-year OST is administered once per year. There’s no in-year retake at grade 4. If the score is below proficient, the school may schedule extra support during the next year, and your child will take a fresh OST in grade 5.
What math topics are on the 4th Grade OST?
Ohio’s Learning Standards for Grade 4 math cover: number and operations in base ten (place value, multi-digit arithmetic), number and operations – fractions (equivalent fractions, fraction comparison, fraction addition/subtraction with like denominators, decimals to hundredths), operations and algebraic thinking, measurement and data, and geometry.
How long should we study for the 4th Grade OST?
For most kids, 6-8 weeks of light practice (15-20 minutes a day, 4 days a week) covers it. Start with a diagnostic, focus on the 2-3 weakest topics, then build up to one or two full timed practice tests in the final weeks.
Where can I find more 4th Grade OST practice?
EffortlessMath has free worked-example lessons for every Grade 4 Common Core math topic (which mirrors Ohio’s standards), plus the Common Core Mathematics Workbook for Grade 4 and a grade-4 practice test bundle. The lessons listed below cover OST’s highest-frequency topics.
Is the OST aligned with Common Core?
Ohio’s Learning Standards are based on Common Core with state-specific adjustments – roughly 85-90% overlap. Common Core Grade 4 materials work very well as OST prep with minor differences in wording on a few topics.
Related EffortlessMath Lessons
If a topic on this page feels rusty, these short lessons go deeper:
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