Seventh grade math in the four strands of Oklahoma's OSTP blueprint: geometry first, then proportions, data and rational numbers.
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Unofficial practice questions, not affiliated with the Oklahoma State Department of Education. Bank checked October 12, 2026.
The real test: OSTP math, grade 7
Questions
50
Items
50 operational items, each scored as correct or incorrect, and 10 field-test items that do not count. The 60 items are split into two sections.
Time
About 40 minutes estimated for each section. With login and directions, about 100 minutes in all, and a suggested maximum of 200.
Strands
Geometry and Measurement 30 to 36% of items, Algebraic Reasoning and Algebra 26 to 30%, Data and Probability 18 to 24%, Number and Operations 16 to 20%.
Calculator and formulas
A four-function calculator with square root, +/− and percent keys, built into the online test or handheld. A formula sheet is provided.
Results
Four performance levels: Advanced, Proficient, Basic and Below Basic.
A bolt is 5/8 inch wide. Which decimal is equal to 5/8?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Number and Operations, OAS objective 7.N.1.2
A number line marks −12 and 5. What is |−12| + |5|, the distance between them?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Number and Operations, OAS objective 7.N.1.3
Sea level is 0. A fish swims at −18 feet. What does |−18| tell you?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Number and Operations, OAS objective 7.N.1.3
The temperature fell 2.5 degrees each hour for 6 hours. Then it rose 4 degrees. What was the total change in temperature?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Number and Operations, OAS objective 7.N.2.5
What is (−2/3)³?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Number and Operations, OAS objective 7.N.2.4
What is −96 ÷ (−8)?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Number and Operations, OAS objective 7.N.2.3
Which comparison of two negative numbers is true?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Number and Operations, OAS objective 7.N.1.1
Which is the best estimate of −48 × 21?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Number and Operations, OAS objective 7.N.2.1
Which list orders −0.4, −3/4, 1/5 and −0.08 from least to greatest?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Number and Operations, OAS objective 7.N.1.1
Show all 50 questions (41 more)
Algebraic Reasoning and Algebra 14
A bag can hold less than 12 pounds. It holds 4.5 pounds now. Which inequality shows the weight x, in pounds, that can still be added?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.3.2
A car uses 3 gallons of gas to go 81 miles. Jo says it will need about 30 gallons to go 270 miles. Is that reasonable?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.2.4
A club grew from 40 members to 52 members. What is the percent increase?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.2.2
A gym charges the same fee for each class, plus $1.50 to rent a mat for each class. Four classes cost $54 in all. The equation 4(x + 1.5) = 54 models this. What is the fee for one class?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.3.1
A jacket costs $60 and is on sale for 25% off. Sales tax of 8% is added to the sale price. What is the total cost?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.2.2
A paint color mixes blue and white paint in a ratio of 3 to 5. How many quarts of blue are needed for 20 quarts of white?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.2.3
A printer prints 84 pages in 7 minutes at a steady rate. What is its unit rate?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.2.1
A table has the pairs (2, 6), (4, 12) and (6, 20). Is y proportional to x?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.1.1
Brand A rice costs $8.75 for 5 pounds. Brand B follows y = 1.80x, where y is the cost in dollars of x pounds. Which is true?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.2.1
The graph of a proportional relationship passes through the point (1, 2.5). Which other point is on the graph?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.1.2
What is the value of 18 − 2(3 + 1)² ÷ 4?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.4.2
What value of x makes 3x + 7 = −11 true?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.3.1
Which equation shows a proportional relationship between x and y?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.1.1
Which expression is equivalent to 6(2x − 5) + 3x?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Algebraic Reasoning and Algebra, OAS objective 7.A.4.1
Geometry and Measurement 16
A box is 6 inches long, 4 inches wide and 3 inches tall. How many 1-inch cubes fill it with no gaps?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.1.3
A circle has a diameter of 10 meters. What is its area in terms of pi?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.3.3
A circle has a radius of 7 cm. Using 22/7 for pi, what is its circumference?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.3.3
A cooler holds 5 gallons of water. How many 1-cup servings is that? One gallon is 4 quarts, one quart is 2 pints and one pint is 2 cups.Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.3.1
A figure is a rectangle 12 feet long and 5 feet wide with a right triangle joined to one 5-foot side. The legs of the triangle are 5 feet and 4 feet. What is the area of the whole figure?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.2.2
A rectangular prism has a volume of 120 cubic cm. Its base is 8 cm by 5 cm. What is its height?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.1.3
A rectangular prism is 5 cm long, 4 cm wide and 3 cm tall. Its net is made of six rectangles. What is its surface area?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.1.1
A trapezoid has an area of 54 square inches. Its bases are 7 inches and 11 inches. What is its height?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.2.1
A trapezoid has bases of 10 meters and 6 meters and a height of 4 meters. What is its area?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.2.1
A triangle has a vertex at (−2, 4). The triangle is translated 5 units right and 3 units down. Where is that vertex now?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.4.3
A triangle with sides of 6, 8 and 10 units is dilated. The new triangle has sides of 15, 20 and 25 units. What is the scale factor?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.4.1
For every circle, the circumference divided by the diameter gives the same number. Which number is it?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.3.2
How many ounces are in 3 1/4 pounds? One pound is 16 ounces.Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.3.1
On a map, 1 inch stands for 40 miles. Two cities are 3.5 inches apart on the map. How far apart are they?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.4.2
The point (3, −5) is reflected across the x-axis. What are the coordinates of its image?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.4.3
Which rectangular prism has the same surface area as a prism that is 2 by 2 by 5?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Geometry and Measurement, OAS objective 7.GM.1.1
Data and Probability 11
A bag holds 6 red tiles, 7 blue tiles and 5 green tiles. One tile is drawn without looking. What is the probability that it is blue?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Data and Probability, OAS objective 7.D.2.1
A box plot has a minimum of 5, a lower quartile of 14, a median of 20, an upper quartile of 27 and a maximum of 36. About what share of the data lies between 14 and 27?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Data and Probability, OAS objective 7.D.1.3
A fair number cube has faces 1 to 6. What is the probability of rolling a number greater than 4, as a percent?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Data and Probability, OAS objective 7.D.2.1
A histogram of test scores has four bars: 60 to 69 has 3 students, 70 to 79 has 8, 80 to 89 has 6, and 90 to 99 has 3. What percent of the students scored 80 or higher?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Data and Probability, OAS objective 7.D.1.2
A spinner has 8 equal sections, and 3 of them are yellow. In 120 spins, about how many times is it expected to land on yellow?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Data and Probability, OAS objective 7.D.2.3
A square board is 10 inches on each side. A rectangle 4 inches by 5 inches is painted on it. A dart lands at a random spot on the board. What is the probability that it lands in the rectangle?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Data and Probability, OAS objective 7.D.2.2
Five quiz scores are 70, 72, 75, 78 and 100. Which measure best describes a typical score?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Data and Probability, OAS objective 7.D.1.1
In a survey of 200 students, the circle graph shows that 30% chose soccer. How many students chose soccer?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Data and Probability, OAS objective 7.D.1.2
What is the interquartile range of 2, 4, 5, 7, 9, 10 and 12?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Data and Probability, OAS objective 7.D.1.1
What is the mean of 12, 15, 9, 18 and 16?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Data and Probability, OAS objective 7.D.1.1
What is the median of 7, 3, 10, 4, 8 and 6?Oklahoma State Department of Education, Test Blueprint and Item Specifications, Grade 7 Mathematics, Data and Probability, OAS objective 7.D.1.1
An unofficial Oklahoma 7th grade math practice test for the Oklahoma School Testing Program (OSTP): 50 questions written for this site, as many as count on the state test. Not affiliated with the Oklahoma State Department of Education.
Read the full guide
What the Oklahoma 7th grade math test covers
Of grades 3 to 8, only grade 7 has Geometry and Measurement as the largest strand of the state blueprint: surface area and volume of rectangular prisms, trapezoids, composite figures, circles, unit conversions, similar figures and transformations. Algebraic Reasoning and Algebra covers proportional relationships, percent problems, equations and one-step inequalities. Data and Probability covers mean, median, interquartile range, circle graphs, histograms, box plots and probability. Number and Operations covers rational numbers, absolute value and integers. The 50 questions here keep the blueprint's share for each strand.
Under each answer
The steps come first, then the objective, such as 7.GM.2.1, the code the Oklahoma Academic Standards give to the area of a trapezoid.
Questions and answers
How many questions are on the Oklahoma 7th grade math test?
Sixty, in two sections. Fifty are operational and make up the score, each marked right or wrong. The other ten are field-test items the state is trying out, and they do not count.
How long is the OSTP 7th grade math test?
The state's estimate for scheduling is about 40 minutes a section, and about 100 minutes once login and directions are added. Its suggested maximum is 200 minutes.
Can you use a calculator on the Oklahoma 7th grade math test?
Yes. The state's calculator policy allows grades 6 and 7 a basic four-function calculator with square root, +/− and percent keys. One is built into the online test, and a formula sheet is provided.
What is a passing score on the Oklahoma 7th grade math test?
The state sets no percent to pass. It reports a scaled score in one of four performance levels: Below Basic, Basic, Proficient or Advanced. A percent on this page is not a state score.