100+ Free OSTP Math Grade 7 Practice Questions
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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 test your OSTP Math Grade 7 exam readiness. 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.
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.
Exam Fee
No fee to students (Oklahoma State Department of Education (OSDE); delivered under contract by Cognia)
OSTP Math Grade 7 Exam Content Outline
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).
How to Pass 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 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 7 Study Tips from Top Performers
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.