Illinois State Assessments · IAR Math
Build Illinois mathematics readiness with five focused 10-question practice sets covering number, algebra, geometry, measurement, data, probability, and problem solving.
This Illinois IAR Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets cover number and operations, expressions and equations, geometry and measurement, data and probability, and integrated multi-step problem solving.
The Illinois State Board of Education describes IAR mathematics as an assessment for Grades 3–8 that requires students to reason about quantities and relationships in real-world situations. These supplemental sets practice computation, fractions and decimals, algebraic thinking, geometry, measurement, statistics, probability, and mathematical reasoning.
Complete one 10-question set at a time. Show your work, check units and labels, then review the explanation after each response.
This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. It does not replace current Illinois State Board of Education guidance, official materials, accommodations, tool policies, or testing procedures.
For broader grade-level study paths, explore Elementary School Tests, Middle School Tests, and High School Tests.
4. Test
A 10-question Illinois IAR Math practice set on data, statistics, and probability, with answers and explanations.
Read each problem, graph, table, or model carefully, choose one answer, and review the explanation after responding.
Please select an answer first.
Correct answer: A
The correct answer is 8.
The sum is 32 and 32 ÷ 4 = 8.
Please select an answer first.
Correct answer: B
The correct answer is 8.
The middle value in the ordered list is 8.
Please select an answer first.
Correct answer: C
The correct answer is 5.
The value 5 appears more often than any other value.
Please select an answer first.
Correct answer: D
The correct answer is 2/5.
There are 4 green marbles out of 10, and 4/10 simplifies to 2/5.
Please select an answer first.
Correct answer: A
The correct answer is 6.
Subtract 15 from 21 to find a difference of 6 students.
Please select an answer first.
Correct answer: B
The correct answer is The mean.
The large value pulls the arithmetic average upward.
Please select an answer first.
Correct answer: C
The correct answer is 1/4.
Two out of eight sections are blue, and 2/8 simplifies to 1/4.
Please select an answer first.
Correct answer: D
The correct answer is A positive association.
Both variables tend to increase together, which is a positive association.
Please select an answer first.
Correct answer: A
The correct answer is 1/5.
Five students choose oranges, and 5/25 simplifies to 1/5.
Please select an answer first.
Correct answer: B
The correct answer is Thursday.
The greatest value is 11 millimeters, which occurs on Thursday.
Review integrated Illinois IAR and ISA-style reading, math, science, data, and evidence questions.
Practice Illinois IAR reading, vocabulary, language, evidence, revision, and writing skills.
Build foundational reading, math, science, and social studies skills for Grades 1–5.
Review grade-level ELA, math, science, and social studies skills for Grades 6–8.
Explore course and assessment preparation for Grades 9–12.
Use focused study intervals to work through your next practice set.
The Illinois State Board of Education states that IAR mathematics is available in Grades 3–8. Check the official IAR page for current assessment information.
The practice sets include number and operations, fractions and decimals, expressions and equations, geometry, measurement, data, statistics, probability, and multi-step reasoning.
No. These are original supplemental practice questions. Check the official Illinois State Board of Education IAR page for current practice items, tool policies, accommodations, and testing procedures.
