OST SAMPLE QUESTIONS: GRADE 5 MATH

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 5 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 5 >> Number & Operations in Base Ten

Sample Question: Write the expanded form of this number: 46.324

1. 40 + 6 + 0.3 + 0.2 + 0.4
2. 40 + 6 + 0.3 + 0.02 + 0.004
3. 40 + 6.3 + 2 + 4
4. 40 + 6 + 0.003+ 0.02 + 0.4

Answer Explanation: When writing the expanded form of decimals, keep each digit in its place to the right of the decimal point by using place-holder zeros. Three in the tenths place is written 0.3, two in the hundredths place is written 0.02, and four in the thousandths place is written 0.004. Do not use the word “decimal” when using expanded form.

Standards: 5.NBT.A.3.A

Click here to practice: Number & Operations in Base Ten Questions on 5th Grade

Domain: Grade 5 >> Operations & Algebraic Thinking

Sample Question: Which is true about the solution to 8 x (467 + 509)?

1. It is a number in the ten thousands.
2. It is an odd number.
3. It is eight times greater than the sum of 467 and 509.
4. It is 509 more than the product of 8 and 467.

Answer Explanation: The expression 8 x (467 + 509) indicates that you should first find the sum of 467 and 509, and then multiply by 8. Therefore, the solution is 8 times greater than that sum.

Standards: 5.OA.A.2

Click here to practice: Grade 5 Operations & Algebraic Thinking Questions

Domain: Grade 5 >> Number & Operations – Fractions

Sample Question: There were 20 pumpkins in a garden. One fourth of the pumpkins were too small, one tenth were too large, and one half were just the right size. The rest were not ripe yet.

How many of the pumpkins were too large?

1. 3
2. 5
3. 10
4. 2

Answer Explanation: This problem has a lot of extra information. To find the number of pumpkins that were too large, just multiply the total number of pumpkins (20) by the fraction of pumpkins that were too large (1/10).

Convert from an improper fraction to a whole number by dividing 20 by 10.

Standards: 5.NF.B.4

Click here to practice: 5th Grade Number & Operations – Fractions Questions

Domain: Grade 5 >> Measurement & Data

Sample Question: The volume of an object is the amount of _________________________.

1. layers you can put in it
2. dimensions it has
3. space it occupies
4. weight it can hold

Answer Explanation: Volume is a measurement of the space an object occupies. It is measured in cubic units.

Standards: 5.MD.C.3.A

Click here to practice: Measurement & Data Questions for 5th Grade

Domain: Grade 5 >> Geometry

Sample Question: Which shape is a rhombus but not a square?

1. 
2. 
3. 
4. 

Answer Explanation: Figure shown in option (D) is a rhombus because it is a parallelogram with 4 sides of equal length, but it is not a square because it does not have 4 right angles.

Figure shown in option (B) is a rhombus. But it is also a square.

Standards:

Click here to practice: Geometry Questions for 5th Grade

Looking for online practice tests? Here is the link to practice more of LEAP Grade 5 Math questions.