Free Practice Questions for OSTP Math Grade 7
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Key Facts: OSTP Math Grade 7 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
Geometry and Measurement, 30-36%
Largest reporting category
Grade 7 Mathematics Test Blueprint
OPI 200-399; 300 = Proficient
Score scale
OSDE Understanding OSTP Results
Practise for the OSTP Grade 7 Math test with 100 free questions weighted to the official OSDE blueprint, where Geometry and Measurement is the largest category at 30-36%. This English-language MCQ bank is a study aid, not an official form.
Sample OSTP Math Grade 7 Practice Questions
Try these sample questions to review concepts for the OSTP Math Grade 7 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1A bakery recipe uses $\frac{3}{4}$ cup of sugar for every $\frac{1}{2}$ batch of muffins. How many cups of sugar are needed for 1 full batch of muffins?
2A cyclist travels $\frac{2}{5}$ mile in $\frac{1}{10}$ hour. What is the cyclist's average speed in miles per hour?
3The table below shows a proportional relationship between hours worked ($x$) and total earnings in dollars ($y$): | Hours ($x$) | Earnings ($y$) | |---|---| | 3 | $45 | | 5 | $75 | | 8 | $120 | What is the constant of proportionality ($k = \frac{y}{x}$) in dollars per hour?
4A car uses 4 gallons of gasoline to travel 112 miles. Which equation represents the proportional relationship between the distance in miles ($d$) and the gallons of gas ($g$)?
5Store A sells 12 ounces of cereal for $3.60. Store B sells 16 ounces of the same cereal for $4.32. Which store has the lower unit price, and by how much per ounce?
6A line on a coordinate plane representing a proportional relationship passes through $(0, 0)$ and $(4, 18)$. What is the constant of proportionality represented by this graph?
7A hiker walks $2\frac{1}{4}$ miles in $\frac{3}{4}$ hour. What is the hiker's unit rate in miles per hour?
8A paint mixture uses 3 pints of yellow paint for every 5 pints of blue paint. If a painter uses 12 pints of yellow paint, how many pints of blue paint are needed to maintain the proportional mixture?
9The table shows a proportional relationship between pounds of apples purchased ($x$) and total cost ($y$): | Weight ($x$) | Total Cost ($y$) | |---|---| | 2.5 lbs | $6.25 | | 4.0 lbs | $10.00 | | 7.5 lbs | ? | What is the missing total cost for 7.5 pounds of apples?
10Worker A earns $162 for $13.5$ hours of work. Worker B earns $195 for $15$ hours of work. Which worker earns a higher hourly rate, and by how much?
About the OSTP Math Grade 7 Exam
The OSTP Grade 7 Mathematics assessment measures proficiency against the Oklahoma Academic Standards for Mathematics. Grade 7 shifts weight toward geometry and measurement — prisms, composite figures, circles, unit conversion, similarity and transformations — while proportional reasoning, percent applications, equations and inequalities sit in Algebraic Reasoning.
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: Geometry and Measurement 30-36%, Algebraic Reasoning and Algebra 26-30%, Data and Probability 18-24%, Number and Operations 16-20%.
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.
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.
Geometry and Measurement
Surface area and volume of rectangular prisms, trapezoids and composite figures, weights, capacities and circles, and transformations, similarity and scale drawings (7.GM.1-7.GM.4).
Algebraic Reasoning and Algebra
Proportional relationships; proportions, rates and ratios including percent increase, discounts and tips; linear equations and inequalities; and order of operations and properties (7.A.1-7.A.4).
Data and Probability
Designing experiments and measures of center, circle graphs, histograms and box plots, and theoretical and experimental probability (7.D.1-7.D.2).
Number and Operations
Comparing, ordering and generating equivalent representations of rational numbers, absolute value, and operations with integers and rational numbers (7.N.1-7.N.2).
Preparing for the OSTP Math Grade 7 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: Geometry and Measurement 30-36%, Algebraic Reasoning and Algebra 26-30%, Data and Probability 18-24%, Number and Operations 16-20%.
- 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 7: Suggested Study Strategy
Frequently Asked Questions
How many questions are on the official OSTP Grade 7 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.
Which topic carries the most weight in Grade 7?
Geometry and Measurement, at 30-36% of items. Grade 7 is the only OSTP mathematics grade where geometry outweighs number and operations.
Where do percent, discount and tip problems fit?
Under Algebraic Reasoning and Algebra. Standard 7.A.2.2 covers multi-step proportional problems including percent increase or decrease, discounts, tips, unit pricing, mixtures and similar figures.
Is a calculator allowed in Grade 7 mathematics?
Yes. For Grades 6-8 mathematics OSDE provides a formula sheet and an online calculator in the testing toolbox, and students may also use an approved handheld calculator.
Is the Grade 7 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.