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Free Practice Questions for OSTP Math Grade 5

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Key Facts: OSTP Math Grade 5 Exam

OSDE

Administering agency

Oklahoma State Department of Education

Cognia

Testing vendor

OSDE Assessment Materials

50 (+10 field test)

Operational items

Grades 3-8 Mathematics Test Blueprints

Number and Operations, 42-46%

Largest reporting category

Grade 5 Mathematics Test Blueprint

OPI 200-399; 300 = Proficient

Score scale

OSDE Understanding OSTP Results

Practise for the OSTP Grade 5 Math test with 100 free questions weighted to the official OSDE blueprint. The real test mixes multiple-choice and technology-enhanced items; this English-language MCQ bank is a study aid, not an official form.

Sample OSTP Math Grade 5 Practice Questions

Try these sample questions to review concepts for the OSTP Math Grade 5 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the sum of 1/2 and 1/4?
A.2/6
B.3/4
C.2/4
D.5/8
Explanation: To add fractions with unlike denominators, find a common denominator. The least common denominator for 2 and 4 is 4. Convert 1/2 to 2/4. Then add the numerators: 2/4 + 1/4 = 3/4.
2Subtract 1/2 from 3/4. What is the difference?
A.1/4
B.2/2
C.1/2
D.2/4
Explanation: Find a common denominator of 4. Convert 1/2 to 2/4. Subtract the numerators: 3/4 - 2/4 = 1/4.
3Find the sum of 2/3 and 1/6.
A.3/9
B.5/6
C.4/6
D.1/2
Explanation: Convert 2/3 to an equivalent fraction with denominator 6 by multiplying numerator and denominator by 2, getting 4/6. Add 4/6 + 1/6 = 5/6.
4What is 1/3 multiplied by 1/2?
A.2/5
B.1/6
C.2/6
D.1/5
Explanation: To multiply fractions, multiply the numerators together and the denominators together. 1 × 1 = 1, and 3 × 2 = 6. The product is 1/6.
5What is 3 times 1/4?
A.3/12
B.3/4
C.4/3
D.1/12
Explanation: Multiply the whole number 3 by the numerator 1: 3 × 1 = 3. Keep the denominator 4. The product is 3/4.
6What is 1/2 divided by 3?
A.3/2
B.1/6
C.1/5
D.2/3
Explanation: Dividing a unit fraction by a whole number is equivalent to multiplying the fraction by the reciprocal of the whole number: 1/2 ÷ 3 = 1/2 × 1/3 = 1/6.
7What is 3.45 + 1.23?
A.4.68
B.4.58
C.4.65
D.4.78
Explanation: Align the decimal points: 3.45 + 1.23. Add the hundredths place (5+3=8), tenths place (4+2=6), and ones place (3+1=4) to get 4.68.
8Subtract 2.41 from 5.89. What is the difference?
A.3.48
B.3.47
C.3.38
D.3.58
Explanation: Align decimal points: 5.89 - 2.41. Subtract hundredths (9-1=8), tenths (8-4=4), and ones (5-2=3) to get 3.48.
9What is 0.4 × 0.2?
A.0.8
B.0.08
C.0.008
D.8.0
Explanation: Multiply whole numbers: 4 × 2 = 8. Count total decimal places in factors: 0.4 (1 place) + 0.2 (1 place) = 2 decimal places. Place decimal point two places to the left: 0.08.
10A rectangular box has a length of 4 cm, width of 3 cm, and height of 2 cm. What is its volume?
A.9 cm³
B.14 cm³
C.24 cm³
D.48 cm³
Explanation: Volume of a rectangular prism = length × width × height. Volume = 4 × 3 × 2 = 24 cubic centimeters.

About the OSTP Math Grade 5 Exam

The OSTP Grade 5 Mathematics assessment measures proficiency against the Oklahoma Academic Standards for Mathematics. Number and Operations dominates the blueprint — fraction and decimal arithmetic and multi-digit division — with volume, coordinate graphing, and data display rounding out the test.

Exam sponsor: Oklahoma State Department of Education (OSDE); delivered under contract by Cognia. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Online fixed-form test in two sections combining multiple-choice items (some linked to a common stimulus) and technology-enhanced items. Blueprint: Number and Operations 42-46%, Algebraic Reasoning and Algebra 14-20%, Geometry and Measurement 22-26%, Data and Probability 12-18%.

Time Limit

Approximately 100 minutes across two sections (suggested maximum 200 minutes); not strictly timed

Passing Score

No pass/fail mark. Reported on the Oklahoma Performance Index (OPI) 200–399 scale, where 300 is always Proficient, in four performance levels: Below Basic, Basic, Proficient, Advanced.

Exam / Certification Fees

No fee to students

Exam sponsor website

Reported exam pass rate: Not applicable — no pass/fail mark; OSDE reports performance levels rather than a pass rate.. Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

42-46%

Number and Operations

Fractions and decimals, division of multi-digit numbers, and adding and subtracting fractions, mixed numbers and decimals (5.N.1-5.N.3).

14-20%

Algebraic Reasoning and Algebra

Numerical patterns and graphs, and expressions, equations and inequalities (5.A.1-5.A.2).

22-26%

Geometry and Measurement

Two- and three-dimensional figures, volume and perimeter, and angles, length, weight and capacity (5.GM.1-5.GM.3).

12-18%

Data and Probability

Creating and analyzing data displays, including line plots with fractional measurements (5.D.1).

Preparing for the OSTP Math Grade 5 Exam

What You Need to Know

  • Passing score: No pass/fail mark. Reported on the Oklahoma Performance Index (OPI) 200–399 scale, where 300 is always Proficient, in four performance levels: Below Basic, Basic, Proficient, Advanced.
  • Assessment: Online fixed-form test in two sections combining multiple-choice items (some linked to a common stimulus) and technology-enhanced items. Blueprint: Number and Operations 42-46%, Algebraic Reasoning and Algebra 14-20%, Geometry and Measurement 22-26%, Data and Probability 12-18%.
  • Time limit: Approximately 100 minutes across two sections (suggested maximum 200 minutes); not strictly timed
  • Exam / certification fees: No fee to students Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

OSTP Math Grade 5: Suggested Study Strategy

1Practise adding, subtracting, multiplying and dividing fractions and decimals — Number and Operations is 42-46% of the test.
2Work on multi-digit division with two-digit divisors and interpreting the remainder in context.
3Review volume of rectangular prisms by counting unit cubes and by using the formula V = l x w x h.
4Practise order of operations, evaluating expressions, and graphing ordered pairs generated by a numerical pattern.
5Read line plots that use fractional measurements such as halves, quarters and eighths of a unit.

Frequently Asked Questions

How many questions are on the official OSTP Grade 5 Math test?

The official test contains 50 operational items plus 10 field-test items, for 60 items in total. Only the 50 operational items contribute to a student's score.

Can Grade 5 students use a calculator?

Not in general. Under the SY 25-26 OSTP calculator policy, approved calculators are available in Grades 3-5 mathematics only for students with the appropriate documented accommodation.

Is there a passing score?

No. Results are reported on the Oklahoma Performance Index scale of 200–399, where 300 is always Proficient, and in four performance levels: Below Basic, Basic, Proficient and Advanced.

Is the Grade 5 Math test available in Spanish?

Yes. Cognia offers a Spanish online form of the Grades 3-8 Mathematics tests, along with Spanish text-to-speech; students must be scheduled for the Spanish test.

Do Grade 5 students also take a science test?

Yes. Grade 5 is one of the two elementary/middle grades assessed in science under OSTP, alongside Grade 8.