Ohio’s State Tests (OST) is a Computer-Based Assessment that includes a variety of new technology-enhanced questions.
Some of them are Multiple choice-single correct responses, Multiple choice-multiple correct responses, Matching Tables, Drag and Drop, Hot text, Table Fill in, Graphing, Equation/numeric, Extended constructed response, Short answer, and many more.
This page contains several sample questions along with practice test links for Grade 4 Math that gives you an idea of questions that your students are likely to see on the test. After each sample question, an answer explanation follows. The explanation includes essential aspects of the task that you may need to consider for the skills, processes, and information your students need to know.
Domain: Grade 4 >> Operations & Algebraic Thinking
Sample Question: Andrew is twice as old as his brother, Josh. Which equation could be used to figure out Andrew’s age if Josh’s age, j, is unknown?
- a = j + 2
- a = j ÷ 2
- j = a + 2
- a = 2 x j
Answer Explanation: It requires multiplication to find out the amount for twice as many. The symbol for multiplication is x. If j represents Josh’s age, then a represents Andrew’s age.
Standards: 4.OA.A.1
Click here to practice: Operations & Algebraic Thinking Questions on 4th Grade
Domain: Grade 4 >> Number & Operations in Base Ten
Sample Question: What is 9 hundred thousands, 9 ten thousands, 8 thousands, 4 hundred, and 7 ones?
- 998,470
- 989,407
- 998,047
- 998,407
Answer Explanation: The hundred thousands place is in the 6th position from the right, so the standard form of this number will be a 6-digit number. There are no tens mentioned, so a 0 will go in the tens place.
Standards: 4.NBT.A.2
Click here to practice: Grade 4 Number & Operations in Base Ten Questions
Domain: Grade 4 >> Number & Operations – Fractions
Sample Question: What makes 6/10 < 9/10?
- Tenths may not always be the same size.
- If the pieces are the same size, use the numerators to compare.
- The fraction on the left will always be less if the denominators are the same.
- 6/10 would be found to the right of 9/10 on a number line.
Answer Explanation: Both wholes are divided up into 10 equal pieces, however, 6/10 means 6 of them are available on one fraction and 9/10 means 9 of them are available on the other fraction.
Standards: 4.NF.A.2
Click here to practice: 4th Grade Number & Operations – Fractions Questions
Domain: Grade 4 >> Geometry
Sample Question: What type of triangle is shown below?
- Isosceles triangle
- Scalene triangle
- Equilateral triangle
- None of the above
Answer Explanation: This triangle has no equal sides. An equilateral triangle has all equal sides; an isosceles triangle has 2 equal sides.
Standards: 4.G.2
Click here to practice: Geometry Questions for 4th Grade
Domain: Grade 4 >> Measurement & Data
Sample Question: 
Which of these expressions could be used to find the perimeter of the above figure?
- 48 + 36 + 2
- 48 x 36
- 2 x (48 + 36)
- 48 + 36
Answer Explanation: The length is 36 ft. and the the width is 48 ft.. All sides must be added to determine the perimeter. Add 48 + 36. Then multiply the sum by 2.
Standards: 4.MD.A.3
Click here to practice: Measurement & Data Questions for 4th Grade
