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.
2. Test
A 10-question Illinois IAR Math practice set on expressions and equations, 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 16.
Subtract 9 from both sides: x = 25 − 9 = 16.
Please select an answer first.
Correct answer: B
The correct answer is 9.
Divide both sides by 4: n = 36 ÷ 4 = 9.
Please select an answer first.
Correct answer: C
The correct answer is 2y − 5.
Two times y is 2y, and 5 less gives 2y − 5.
Please select an answer first.
Correct answer: D
The correct answer is 19.
Substitute 5 for a: 3 × 5 + 4 = 19.
Please select an answer first.
Correct answer: A
The correct answer is 22.
The pattern increases by 4, so 18 + 4 = 22.
Please select an answer first.
Correct answer: B
The correct answer is c = 7t + 3.
The ticket cost is 7t and the fixed fee is 3.
Please select an answer first.
Correct answer: C
The correct answer is 3.
Slope equals rise divided by run: 15 ÷ 5 = 3.
Please select an answer first.
Correct answer: D
The correct answer is 10.
Substitute 4: y = 3 × 4 − 2 = 10.
Please select an answer first.
Correct answer: A
The correct answer is 5.
Five is less than or equal to 7, so it satisfies the inequality.
Please select an answer first.
Correct answer: B
The correct answer is y = 3x + 1.
Each y-value is 3 times x plus 1.
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.
