Grade 6 math in the five reporting categories of ILEARN, the test Indiana gives sixth 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 6
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 22 to 28% of the summative test; Ratios and Proportional Reasoning 16 to 22%; Algebra and Functions 22 to 28%; Geometry, Measurement, Data Analysis
Calculator
Standards 6.NS.1 to 6.NS.8, 6.AF.1 to 6.AF.5 and 6.RP.1 are tested without a calculator. The other grade 6 standards are calculator standards, with an online ca
Reference sheet
Customary and metric conversions for length, volume and mass, such as 1 inch ≈ 2.54 centimeters, and the area of a triangle, a parallelogram and a trapezoid.
Scores
Grade 6 scores run from 423 to 713 in four proficiency levels. Approaching Proficiency starts at 525, At Proficiency at 561 and Above Proficiency at 617.
A batch of trail mix uses 3/4 cup of raisins. Dana has 4 1/2 cups of raisins. How many batches can she make?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.NS.4
A coach has 36 red jerseys and 60 blue jerseys. He packs them into identical boxes that use every jersey. The greatest number of boxes is the greatest common factor of 36 and 60. What is it?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.NS.6
A scuba diver is 18 feet below sea level. A gull flies 25 feet above sea level. Sea level is 0. Which pair of integers shows the two positions?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.NS.1
At dawn a thermometer read -12°F on Friday and -5°F on Saturday. Which statement is true?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.NS.3
Luis buys 3 notebooks at $2.45 each and one pen for $1.80. What is the total cost?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.NS.4
Show all 42 questions (37 more)
Number Sense, continued
What is the opposite of the opposite of -7?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.NS.2
What is the value of (3/4)³?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.NS.8
What is the value of 3 × (4 + 2)² − 10 ÷ 5?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.NS.5
Which expression is equivalent to 7x + 2(4x + 9)?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.NS.7
Which list orders the numbers -1.5, -7/4, 0.3 and -2 from least to greatest?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.NS.3
Ratios and Proportional Reasoning 8
A 12-pound bag of apples costs $21. What is the unit rate?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.RP.2
A dough recipe uses flour and sugar in the ratio 3 cups to 2 cups. A table of equivalent ratios has a row with 12 cups of flour. How many cups of sugar belong in that row?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.RP.3
A jar holds red and blue marbles in the ratio 3 to 5. There are 40 marbles in the jar. How many are red?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.RP.4
A pump fills a pool with 156 gallons of water in 4 minutes at a steady rate. How many gallons does it pump in 7 minutes?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.RP.4
A table of a proportional relationship lists x as 4, 10 and 12 and y as 6, 15 and 18. Which equation relates y to x?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.RP.5
A team won 7/8 of its games. What is 7/8 written as a percent?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.RP.1
Kira earns $9 for each hour she works. Let h be the hours worked and t be her total pay. Which equation shows t in terms of h, and which variable is dependent?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.RP.5
Which fraction is equal to 45%?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.RP.1
Algebra and Functions 10
Adult tickets cost $8 and child tickets cost $5. The expression 8a + 5c gives the cost of a adult tickets and c child tickets. What is the cost of 3 adult tickets and 4 child tickets?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.AF.1
An elevator is posted for loads of at most 2,500 pounds. Which inequality shows the loads p, in pounds, that the elevator may carry?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.AF.4
Four friends split the cost of a pizza order equally, and each pays $6.50. The equation c ÷ 4 = 6.50 models this. What is the total cost c?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.AF.3
On a coordinate plane, a library is at (-3, 4) and a park is at (5, 4). Each unit is one block. How many blocks apart are they?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.AF.5
What is the value of 3x + 2y when x = 4 and y = 1/2?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.AF.1
What value of x makes (2/3)x = 12 true?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.AF.3
What value of x makes x − 2.75 = 6.5 true?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.AF.3
Which number from the set {6, 7, 8, 9} makes the equation 5x − 4 = 36 true?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.AF.2
Which number from the set {7, 8, 9, 10} makes the inequality 2x − 5 > 14 true?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.AF.2
Which statement describes the solutions of the inequality x > -2?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.AF.4
Geometry, Measurement, Data Analysis, and Statistics 9
A fish tank is a right rectangular prism 3 1/2 feet long, 2 feet wide and 1 1/2 feet tall. What is its volume?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.GM.4
A histogram shows how many books the students in a class read. Its bars are: 0 to 4 books, 3 students; 5 to 9 books, 7 students; 10 to 14 books, 6 students; 15 to 19 books, 4 students. How many students read fewer than 10 books?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.DS.1
A plant grew 4, 7, 7, 9 and 13 centimeters in five weeks. What is the mean growth per week?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.DS.3
A roof truss forms a triangle. Two of its angles measure 43° and 76°. What is the measure of the third angle?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.GM.2
The front of a shed is a rectangle 12 feet wide and 7 feet tall with a triangle on top. The triangle has a base of 12 feet and a height of 5 feet. What is the area of the whole front?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.GM.3
Priya wants to collect data from her class. Which question will give her answers that vary from student to student?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.DS.2
Three angles of a quadrilateral measure 90°, 85° and 110°. What is the measure of the fourth angle?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.GM.2
Use 1 inch ≈ 2.54 centimeters. About how many centimeters long is a 12-inch ruler?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.GM.1
Use 1 kilogram ≈ 2.20 pounds. A dog has a mass of 15 kilograms. About how many pounds is that?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard 6.GM.1
Mathematical Processes 5
A class sells 45 tickets to a talent show for $3.50 each. It spends $28.75 on decorations. How much money is left?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard PS.1
A tank holds 120 gallons of water. It drains at 8 gallons each minute. Which equation gives the gallons g left after m minutes?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard PS.4
Jon found the value of 6 + 4 × 3 and got 30. What was his mistake?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard PS.6
Look at the pattern: 1/2 of 8 is 4, 1/4 of 8 is 2, 1/8 of 8 is 1. Following the pattern, what is 1/16 of 8?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard PS.8
Maya says, "0.5% is the same as 1/2." Which statement shows her mistake?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 6 ILEARN sheet, standard PS.3
How this list was compiled: Outline: Indiana Assessment Framework: Mathematics, the Grade 6 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, and the 2023 Indiana Academic Standards listed under each category with their limits (a greatest common factor of two whole numbers to 100, conversions with the factor given). Each question names the standard it practices. The two conversion factors are those of the ILEARN Grade 6 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
ISTEP+ practice for 6th grade now means ILEARN practice: Indiana's sixth graders take ILEARN math. Here are 42 unofficial questions in its blueprint's five reporting categories, written for this site and not affiliated with the Indiana Department of Education.
Read the full guide
What the 6th grade math test covers
The grade 6 ILEARN blueprint reports five categories, with ratios in a category of their own, and each has its share of the questions below. Number Sense: negative numbers, ordering rational numbers, fractions and decimals, order of operations, greatest common factor. Ratios and Proportional Reasoning: fraction, decimal and percent conversions, unit rates, ratio tables. Algebra and Functions: expressions, one-step equations, inequalities, the coordinate plane. Geometry, measurement and data: angle sums, composite area, prism volume, histograms, the mean. Mathematical Processes: multi-step problems and finding an error.
Where ISTEP+ went
ISTEP+ is absent from the assessment programs Indiana lists today. ILEARN has three Checkpoints through the year, then a summative test in April to May. Each answer names its 2023 Indiana Academic Standard, such as 6.RP.4.
Every Number Sense standard is tested without a calculator. Work fractions, decimals and percents by hand.
The grade 6 reference sheet gives conversion factors and three area formulas. The prism formula V = lwh is not on it.
Questions and answers
Is there an ILEARN practice test for 6th grade?
Yes, for math: the 42 questions on this page, each answer worked in steps. Indiana also keeps a Released Items Repository of its own on the ILEARN portal.
How many questions are on the 6th grade ILEARN math test?
Between 32 and 37 count toward the score on the spring summative test, and 20 to 25 on each Checkpoint. The number is a range because ILEARN adapts to the student as it goes.
Can you use a calculator on the 6th grade ILEARN math test?
On less than half of the content. Fourteen of the 25 grade 6 content standards are non-calculator: 6.NS.1 to 6.NS.8, 6.AF.1 to 6.AF.5 and 6.RP.1. Rate, geometry and data questions come with an on-screen calculator.
What is a passing score on 6th grade ILEARN math?
Indiana sets no passing percent. On the grade 6 scale of 423 to 713, a score of 525 reaches Approaching Proficiency, 561 reaches At Proficiency and 617 reaches Above Proficiency.