Fifth grade math asks a lot. Students work with decimals to the thousandths, divide by two-digit numbers, add and subtract fractions with unlike denominators, multiply and divide fractions, find the volume of boxes and plot points on a coordinate plane. All of it shows up on one spring test. If you want every skill covered in one place, this workbook was made for you.
The Illinois IAR 5th Grade Math Practice Test Workbook is aligned to the Illinois Learning Standards for Mathematics and built from the IAR blueprint and evidence statements published by the Illinois State Board of Education. Every question is original, written in the formats your students will see in the spring, and reviewed by a certified teacher.
It’s a Printable PDF, so you can print the pages you need for whole-class lessons, small groups, centers or homework. Below you’ll find what’s inside, a look-inside video and a simple plan for the months before testing.
- A 17-question pretest, a Learn It lesson + test-style practice for all 37 skills, mixed review, test-taking strategies, 2 full-length practice tests and a 336-answer key.
- Each practice test has 31 questions worth 52 points in three sections, just like the three sections of the real IAR math test.
- Printable PDF, 230 full-color pages, $9.99.
- A rubric and a sample full-credit answer for every written question, a Grade 5 Reference Sheet with the same facts students get on test day, plus bubble answer sheets, progress trackers and class data sheets.
- Free with a Have Fun Teaching membership.
What’s inside the IAR 5th grade math test prep workbook
The workbook follows the order you’d teach it. Find out what students already know, teach the gaps one skill at a time, mix everything together, then rehearse the real thing twice.
Pretest + scoring guide
17 questions and a guide that shows which skills to teach first.
Learn It + practice
A worked example and a tip, then test-style practice, for all 37 skills.
Every big 5th grade idea
Decimals to thousandths, multi-digit multiplication and division, fraction operations, expressions, volume and the coordinate plane.
Mixed review + strategies
37 mixed questions and four pages of test-taking tips for the big day.
2 full-length practice tests
31 questions each, split into three sections like the real test.
Answer key + trackers
336 answers, rubrics for written answers, progress trackers, class data sheets and a certificate.
The question types match the real test: answer boxes, multiple choice, “select two or three” questions, circle-the-choice sentences, two-part Part A / Part B questions and written answers where students explain their thinking or solve a real-world problem. Written answers are scored by hand on the IAR and carry a lot of points, so every one in the book comes with a rubric and a sample answer. Once 5th graders have met every format, test day is about the math, not the question style.
Inside · PretestPretestFind each student’s starting point in one sitting.
Inside · Learn ItLearn It pagesA worked example and a tip before every practice set.
Inside · ReviewMixed ReviewEvery reporting area mixed together, like the real test.
Inside · Practice testFull practice testsTwo 31-question tests, each in three sections.
Take a look inside (video)
Want to flip through it before you buy? This short look-inside video walks through the whole workbook, from the pretest to the class data sheets at the back.
What’s on the IAR 5th grade math test?
The IAR (Illinois Assessment of Readiness) math test is taken on the computer, with a paper form available. It’s a fixed form, so every student sees the same questions and the test doesn’t adapt to answers. Fifth graders take it in three sections of 60 minutes each, and the test has 31 scored questions worth 52 points.
The points come from four areas: major content like decimals, multi-digit multiplication and division, fraction operations and volume (the biggest share), supporting content, expressing mathematical reasoning and modeling and application. The last two are mostly written answers, where students explain their thinking or solve a real-world problem. Fifth graders get no calculator, but they do get a Grade 5 Math Reference Sheet with customary conversions, 1 liter = 1,000 cubic centimeters and the volume formulas for a rectangular prism. They also get scratch paper and a ruler marked in eighths of an inch. The workbook prints its own reference sheet page with the same facts, so students practice with it all year. Each practice test in the book has 31 questions worth 52 points in three sections, and Question 31 is a 6-point modeling task on two facing pages, like the big real-world problem at the end of the real test.
Every skill page is labeled with its Illinois Learning Standards code, so you can match it to your own scope and sequence.
How to use the printable workbook in class
Because it’s a PDF, you print only what you need, when you need it. Here’s how teachers tend to use each part.
Print the pretest
One sitting shows you which skills each student needs most.
Small groups + centers
Pull the Learn It and practice pages for the skills your groups need.
Test day rehearsal
Give a practice test with the bubble answer sheets, one 60-minute section at a time.
Track the growth
Score with the answer key, then fill in the progress trackers and class data sheets.
Printable PDF: $9.99, or free with a membership
The workbook comes as one Printable PDF with all 230 full-color pages. Print as many copies as your students need, year after year.
Already a member? The Printable PDF is included with your Have Fun Teaching membership, so you can download it today at no extra cost.
When do 5th graders take the IAR math test?
The IAR is a spring test. For the 2026–27 school year, the statewide online testing window runs from March 1 to April 16, 2027 (paper testing ends April 2), and each district schedules its own days inside it. Here’s an easy way to spread your IAR 5th grade math test prep across the year so spring never turns into a cram session.
Now: give the pretest
Score it with the guide and circle the skills each student needs most.
Fall into winter: teach the gaps
Use one Learn It + practice set a few times a week, in the order your pretest points to.
Winter: mix it up
Mixed review keeps decimals, fraction operations, volume and conversions fresh while you teach new units.
Late winter: Practice Test 1
Run it like test day, all three sections, then reteach what slipped.
A few weeks later: Practice Test 2
A second full run builds stamina and shows real growth.
Test day: celebrate
They’ve seen every question type already. Tell them so.
Check your school calendar for your district’s dates. To see exactly what 5th graders are expected to learn, read the Illinois Learning Standards. Our Illinois test prep page has the state’s testing details and every IAR workbook in one place.
Members: it’s already yours
With a Have Fun Teaching membership, the Printable PDF of this workbook is included, along with every other state test prep workbook PDF and the whole resource library. See membership plans.
5th grade math worksheets to pair with it
When the pretest flags a skill, a single-page worksheet is an easy way to add one more round of practice. These three line up with big 5th grade math skills on the test.
5th · WorksheetAdding Fractions EquationsAdd fractions with unlike denominators, a big fractions skill on the test.
5th · WorksheetVolume of ShapesFind the volume of rectangular prisms, a major skill on the test.
5th · WorksheetTwo Digit Divisors DivisionLong division with two-digit divisors, a base ten skill on the test.
Keep exploring
Try a sample question: IAR 5th grade math
These are new practice questions written by Have Fun Teaching in the style of the IAR — not real test items. Solve each one, then tap to check your answer.
1. A box is 3 units long, 4 units wide and 5 units tall. What is its volume?
60 cubic units — 3 × 4 × 5 = 60.
2. 2,856 ÷ 12 = ?
238 — 12 × 238 = 2,856.
3. 312 × 24 = ?
7,488 — 312 × 20 = 6,240 and 312 × 4 = 1,248; together 7,488.
Get it included with a membership
This workbook, plus 6,600+ resources
Members get the Printable PDF of every state test prep workbook, plus the whole library. Try it free for 3 days.
- IAR 5th Grade Math: Printable PDF included
- Every printable, song and video, Preschool–6th
- Every state test prep workbook PDF
- Unlimited downloads, new resources added every week
IAR 5th grade math test prep: questions teachers ask
Is this workbook made by the Illinois State Board of Education?
No. Have Fun Teaching wrote every question from scratch, and a certified teacher reviewed the book. It is aligned to the Illinois Learning Standards for Mathematics and built from the IAR blueprint published by the Illinois State Board of Education, but it is an independent practice resource and does not use real test items.
How long is the IAR 5th grade math test?
Fifth graders take the math test in three sections of 60 minutes each. The test has 31 scored questions worth 52 points, plus a few field-test questions that don’t count. Each practice test in this workbook matches that: 31 questions worth 52 points, split into three sections.
How much does the workbook cost?
The Printable PDF is $9.99 for all 230 full-color pages, and you can print as many copies as your students need. With a Have Fun Teaching membership, the PDF is included at no extra cost, along with the Printable PDF of every other state test prep workbook and the rest of the library.
Can 5th graders use a calculator or a reference sheet on the IAR?
There is no calculator on the grade 5 math test, but students do get a Grade 5 Math Reference Sheet with customary conversions, 1 liter = 1,000 cubic centimeters and the volume formulas for a rectangular prism, plus a ruler marked in eighths of an inch. The workbook prints its own reference sheet page with the same facts, so students practice with it all year.
When should I start IAR 5th grade math test prep?
Start with the pretest in the fall, then teach the skills it flags a few times a week through winter. Give Practice Test 1 in late winter and Practice Test 2 a few weeks later. The 2026–27 online testing window runs from March 1 to April 16, 2027.
Walk into test day ready.
Start with the pretest this week, and have every skill covered by spring.
IAR (Illinois Assessment of Readiness) is the state assessment of the Illinois State Board of Education. Have Fun Teaching, LLC is not affiliated with or endorsed by the Illinois State Board of Education. Not an official test.
