Grade 5 math practice on the blueprint of ILEARN, Indiana's state test for grades 3 to 8.
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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 5
Items
30 to 35 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 9 to 13% of the summative test; Computation and Algebraic Thinking 43 to 53%; Geometry, Measurement and Data Analysis 29 to 37%; Mathematical Proce
Reference sheet
Unit conversions for length, capacity, weight, mass and time, and the area formulas for a triangle, a parallelogram and a trapezoid.
Scores
Grade 5 scores run from 419 to 644 in four proficiency levels. Approaching Proficiency starts at 505, At Proficiency at 531 and Above Proficiency at 573.
How it is given
On a computer. The test is computer adaptive, with item types such as multiple choice, multiple select, fraction modeling, graphing and constructed response.
A 10-by-10 grid has 35 of its 100 squares shaded. Which fraction and percent name the shaded part?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.NS.4
A number is multiplied by 10³ and the product is 5,200. What is the number?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.NS.3
Three pounds of clay are shared equally among 4 students. How much clay does each student get?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.NS.2
Which comparison is true?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.NS.1
Which list orders 0.45, 3/8, 0.405 and 1/2 from least to greatest?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.NS.1
Show all 40 questions (35 more)
Computation and Algebraic Thinking 18
A 5-pound bag of dog food is split into servings of 5/8 pound. How many servings are in the bag?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.8
A factory packs 1,510 markers into boxes of 12. Every box it ships is full. How many markers are left over?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.2
A hiker walks 2/3 mile before lunch and 5/8 mile after lunch. How far does the hiker walk in all?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.4
A model shows a rectangle with 2/3 of it shaded. Then 3/4 of the shaded part is striped. What fraction of the whole rectangle is striped?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.5
A ribbon 4 yards long is cut into pieces that are each 1/3 yard long. How many pieces are there?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.6
A school takes 458 students on a trip. Each bus holds 36 students. How many buses does the school need?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.2
A trail is 4 1/2 miles long. Jo hikes 2/3 of it. How far does Jo hike?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.7
Ana has 3 1/8 yards of ribbon and uses 1 7/8 yards. Which is the best estimate of how much is left?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.4
Apples cost $2.75 a pound. How much do 4.8 pounds cost?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.10
Four friends split a bill of $37.80 equally. How much does each friend pay?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.10
On a graph, x is the number of hours a candle has burned and y is its height in inches. What does the point (3, 5) mean?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.11
One lap of a track is 3/8 mile. Sam runs 6 laps. How far does he run?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.7
What is 2 3/4 + 1 5/6?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.3
What is 3/4 ÷ 1/8?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.6
What is 6.4 × 0.35?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.9
What is 9.03 − 4.7?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.9
What is 1,987 ÷ 23?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.1
What is 3,264 ÷ 16?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.CA.1
Geometry, Measurement and Data Analysis 12
A bottle holds 1.5 liters of juice. Each glass holds 250 milliliters. How many glasses can be filled?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.M.1
A box holds exactly 96 unit cubes with no gaps. Each layer has 24 cubes. How many layers are in the box?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.M.4
A line plot shows the rain on 8 days: 2 marks at 1/4 inch, 3 marks at 1/2 inch, 2 marks at 3/4 inch and 1 mark at 1 inch. How much rain fell in all?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.DA.1
A parallelogram has a base of 12 meters, a height of 5 meters and a slanted side of 6 meters. What is its area?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.M.3
A planter box is 18 inches long, 10 inches wide and 15 inches tall. What is its volume?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.M.5
A ribbon is 2 yards 1 foot long. It is cut into pieces 7 inches long. How many pieces are there?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.M.1
A tile is 1/2 foot long and 5/6 foot wide. What is its area?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.M.2
A trapezoid has parallel sides of 8 feet and 14 feet and a height of 5 feet. What is its area?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.M.3
A triangle has a base of 16 inches and a height of 9 inches. What is its area?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.M.3
The diameter of a circle is 18 centimeters. What is its radius?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.G.1
Five plants are 6, 9, 9, 12 and 14 inches tall. What is the mean height?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.DA.2
Six houses on a street sold for about the same price, and one mansion sold for ten times as much. Which measure best describes a typical price on the street?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, standard 5.DA.2
Mathematical Processes 5
A class has $150 for a party. It buys 8 pizzas at $12.50 each and juice for $18.75 in all. How much money is left?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, process standard PS.1
A gym charges a $25 sign-up fee and $15 for each month. Which expression gives the cost of m months?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, process standard PS.4
Lia measures a desk as 1.2 meters long and writes that it is 12 centimeters long. Which statement corrects her?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, process standard PS.6
Look at the pattern: 6 ÷ 1/2 = 12, 6 ÷ 1/3 = 18, 6 ÷ 1/4 = 24. Following the pattern, what is 6 ÷ 1/5?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, process standard PS.8
Ray says 1/2 ÷ 4 = 2 "because 4 ÷ 2 = 2." What is wrong with his reasoning?Indiana Department of Education, Indiana Assessment Framework: Mathematics, Grade 5 ILEARN sheet, process standard PS.3
How this list was compiled: Outline: Indiana Assessment Framework: Mathematics, the Grade 5 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 (decimals to thousandths for comparing and to hundredths for computing; four-digit dividends with two-digit divisors; whole-number edge lengths for volume). Each question names the standard it practices. Unit conversions and the area formulas for a triangle, a parallelogram and a trapezoid are those of the ILEARN Grade 5 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
Unofficial grade 5 math practice for Indiana's state test. ISTEP+ is not on the department's list of tests; fifth graders take ILEARN, so these 40 questions follow its blueprint. None is a released item. Not affiliated with the Indiana Department of Education.
Read the full guide
What an ISTEP math practice test for 5th grade covers now
ILEARN reports four categories, and the questions keep the blueprint's shares. Computation and Algebraic Thinking is close to half: dividing by two-digit numbers, then adding, multiplying and dividing fractions, mixed numbers and decimals to hundredths. Geometry, Measurement and Data Analysis: unit conversions, areas of triangles, parallelograms and trapezoids, volume, line plots, mean and median. Number Sense: ordering fractions and decimals, powers of 10, percents. Mathematical Processes: multi-step problems and finding the flaw in someone's work.
The grade 5 reference sheet prints the area formulas for a triangle, a parallelogram and a trapezoid. Practice choosing the right one.
Questions and answers
Is ISTEP still given in 5th grade?
ISTEP+ is not on the Indiana Department of Education's list of assessment programs. For grades 3 to 8 the list names ILEARN, with three Checkpoints during the year and an end-of-year summative test in mathematics and English language arts.
How many questions are on the 5th grade ILEARN math test?
The summative test has 30 to 35 items that count, and each Checkpoint has 20 to 25. The blueprint gives ranges because the test adapts to each student. A few field test items are added and do not count.
What is a passing score on 5th grade ILEARN math?
Grade 5 mathematics scores run from 419 to 644. Approaching Proficiency starts at 505, At Proficiency at 531 and Above Proficiency at 573. A percent right on this page is not a scale score.
What other ILEARN tests do 5th graders take?
English language arts, on the same schedule as mathematics, and an end-of-year social studies test that ILEARN gives only in grade 5. ILEARN science is given in grades 4 and 6.