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100+ Free OSTP Math Grade 5 Practice Questions

Prepare for the Oklahoma School Testing Program — Mathematics, Grade 5 exam with instant access — no signup required.

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Not applicable — no pass/fail mark; OSDE reports performance levels rather than a pass rate. Pass Rate
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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 test your OSTP Math Grade 5 exam readiness. 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.

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 Fee

No fee to students (Oklahoma State Department of Education (OSDE); delivered under contract by Cognia)

OSTP Math Grade 5 Exam Content Outline

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).

How to Pass 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 fee: No fee to students

Keys to Passing

  • 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 Study Tips from Top Performers

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.