Grade 7 math in the four reporting categories of ILEARN, the test Indiana gives seventh graders today.
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Unofficial practice questions, not affiliated with the Indiana Department of Education. Bank checked October 13, 2026.
The real test: ILEARN math, grade 7
Items
32 to 37 operational items on the end-of-year summative test, and 20 to 25 on each of three Checkpoints.
When
Checkpoints in September to November, November to February and February to April. The summative test is given in April to May.
Reporting categories
Number Sense 19 to 25% of the summative test; Algebra & Functions, Ratios & Proportional Reasoning 32 to 41%; Geometry, Measurement, Data Analysis, Statistics,
Calculator
Non-calculator standards: 7.NS.1 to 7.NS.7, 7.AF.1 and 7.AF.2. The other grade 7 standards are calculator standards, with an online scientific calculator provid
Reference sheet
Three formulas: the volume of a cylinder, the area of a circle and the circumference of a circle.
Scores
Grade 7 scores run from 438 to 794 in four proficiency levels. Approaching Proficiency starts at 549, At Proficiency at 605 and Above Proficiency at 669.
A square garden has an area of 81 square feet. How long is each side?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.NS.6
A submarine is at −45 meters, which is 45 meters below the surface. It rises 45 meters. What is its position now?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.NS.1
At dawn the temperature was −8°F. By noon it had risen 13 degrees. What was the temperature at noon?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.NS.1
What is the distance between −2.5 and 6 on a number line?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.NS.2
What is the prime factorization of 72, written with exponents?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.NS.5
What is the value of −3(4 − 6)?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.NS.3
What is −2/3 + 1/2?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.NS.7
What is −5.6 ÷ 0.8?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.NS.7
Which expression has the same value as −(3/4)?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.NS.4
Show all 40 questions (31 more)
Algebra and Functions, Ratios and Proportional Reasoning 14
A club grows from 80 members to 100 members. What is the percent increase?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.RP.2
A gym charges a $25 sign-up fee plus $12 for each month. Dana has paid $97 in all. For how many months has she paid?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.AF.3
A jacket with a regular price of $40 is marked down 25%. What is the sale price?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.RP.2
A line passes through the points (1, 2) and (4, 11). What is the slope of the line?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.AF.6
A store buys a lamp for $20 and marks the price up 60%. What is the selling price?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.RP.2
At a market, 3 pounds of apples cost $7.50 and 5 pounds cost $12.50. The cost is proportional to the weight. What is the unit rate?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.RP.1
Marco has $50. Fair tickets cost $8 each, and he wants to have at least $10 left. What is the greatest number of tickets he can buy?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.AF.4
One batch of bread uses 3/4 cup of flour. How much flour is needed for 2 1/2 batches?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.AF.2
Six notebooks cost $9, and the cost y in dollars is proportional to the number of notebooks x. Which equation represents the relationship?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.RP.3
Solve for x: 4(x − 2.5) = 14Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.AF.3
Solve the inequality: 5x − 3 > 22Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.AF.4
Which expression is equivalent to 3(2x + 5) − 4x?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.AF.1
Which expression is equivalent to 6x − 18?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.AF.1
Which situation has a constant rate of change?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.AF.5
Geometry, Measurement, Data and Probability 12
A bag holds 3 red, 5 blue and 2 green marbles. One marble is drawn at random and put back, 150 times. About how many times should a red marble be drawn?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.DSP.5
A circle has a diameter of 10 centimeters. Using 3.14 for π, what is its circumference?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.GM.2
A circle has a radius of 6 inches. Using 3.14 for π, what is its area?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.GM.2
A cylinder has a radius of 4 centimeters and a height of 5 centimeters. Using 3.14 for π, what is its volume?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.GM.3
A data set is 5, 6, 6, 7, 8. Then the value 40 is added. What happens to the mean and the median?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.DSP.3
A forecast gives a probability of 0.05 for snow tomorrow. Which word best describes snow tomorrow?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.DSP.4
A scale drawing uses 1 centimeter for 3 meters. A rectangular patio is 4 centimeters by 2 centimeters on the drawing. What is the area of the real patio?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.GM.1
A school wants to know which lunch its 600 students like best. Which sample is most likely to represent the whole school?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.DSP.1
A step is built from two rectangular prisms. One is 4 feet by 3 feet by 2 feet. The other is 2 feet by 3 feet by 2 feet. What is the total volume?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.GM.3
A team scored 12, 15, 9, 20 and 14 points in five games. What is the mean number of points?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.DSP.2
On a floor plan, 1 inch represents 8 feet. A room is 2.5 inches long on the plan. How long is the real room?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.GM.1
What is the mean absolute deviation of the data set 1, 3, 5, 9, 12?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, standard 7.DSP.2
Mathematical Processes 5
A car travels at a constant speed and covers 150 miles in 2.5 hours. Which equation gives its distance d, in miles, after t hours, and how far does it go in 4 hours?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, process standard PS.4, with standard 7.RP.3
A shirt has a regular price of $24. It is on sale for 25% off, and a 6% sales tax is charged on the sale price. What is the total cost?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, process standard PS.1, with standard 7.RP.2
Jo solves −3x > 12 and writes x > −4. What is her mistake?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, process standard PS.3, with standard 7.AF.4
The product of two integers is negative and their sum is positive. Which pair could they be?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, process standard PS.2, with standard 7.NS.3
Which expression is equivalent to 0.25x + 0.75x − 2(x − 3)?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 7 ILEARN sheet, process standard PS.7, with standard 7.AF.1
How this list was compiled: Outline: Indiana Assessment Framework: Mathematics, the Grade 7 ILEARN sheet (test blueprint beginning school year 2025-2026), Indiana Department of Education, https://docs.google.com/spreadsheets/d/1KfjJpB4Ka3vjh79CsFddrkv0BwTd1BAW/edit, linked from the department's ILEARN page, https://www.in.gov/doe/students/assessment/ilearn/, read 2026-10-13: the reporting categories and their share of the summative test, the number of items, the calculator column and the 2023 Indiana Academic Standards listed under each category. Each question names the standard it practices. The circle and cylinder formulas are those of the ILEARN Grade 7 Mathematics Reference Sheet, https://www.in.gov/doe/files/ILEARN-Mathematics-Reference-Sheet.docx-1-1.pdf. Every calculation is worked out a second time from the numbers in the question. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from an ILEARN or ISTEP+ test, a released item, an item specification of the state or another practice test. No released item or item specification was read.
How it works
Indiana's grade 7 state math test is ILEARN, not ISTEP+, so this unofficial 7th grade math ISTEP practice test follows the ILEARN blueprint with 40 of our own questions. Not affiliated with the Indiana Department of Education.
Read the full guide
What the ILEARN practice test for 7th grade math covers
Four reporting categories make up the grade 7 blueprint, and this set matches their weights. Algebra and Functions with Ratios and Proportional Reasoning, the largest, has 14 questions: unit rates, percents, equivalent expressions, equations, inequalities and slope. Geometry, measurement, data and probability has 12: scale drawings, circles, cylinders, samples, mean absolute deviation and chance. Number Sense has 9 on signed numbers, prime factors and square roots. Mathematical Processes has 5.
Indiana grade 7 ISTEP practice test, or ILEARN?
ISTEP practice tests for 7th grade now mean ILEARN practice: the only grade 7 mathematics blueprint Indiana publishes is ILEARN's. Under each answer is its 2023 Indiana Academic Standard, such as 7.RP.2. ILEARN is a computer-adaptive test, and this practice runs online too, with no sign-up.
Only three formulas are printed on the grade 7 reference sheet: circle area, circumference and cylinder volume.
Questions and answers
Do 7th graders in Indiana still take ISTEP?
Not under that name. The Indiana Department of Education's assessment programs list ILEARN, not ISTEP+, for grades 3 to 8. Seventh graders take three ILEARN Checkpoints across the year and a summative test in the April to May window.
How many questions are on the 7th grade ILEARN math test?
The summative test at the end of the year has 32 to 37 items that count, and each of the three Checkpoints has 20 to 25. The numbers are ranges because a computer-adaptive test picks items for each student.
Is a calculator allowed on 7th grade ILEARN math?
For most standards, yes: an online scientific calculator is provided. Nine standards are marked non-calculator in the blueprint: 7.NS.1 to 7.NS.7, 7.AF.1 and 7.AF.2.
What score is proficient on 7th grade ILEARN math?
On the grade 7 scale of 438 to 794, At Proficiency begins at 605 and Above Proficiency at 669. Approaching Proficiency begins at 549. A percent right on practice questions cannot be turned into a scale score.