IAR grade 8 math practice test
A free practice set in the style of grade 8 math on the IAR: 12 questions in the online formats state tests use, marked as soon as you finish. Nothing is stored.
Grade 8 practice set
12 questions, with no clock. A new set every time, marked when you finish, with the marks by topic.
Have paper and a pencil ready for working out.
What’s on grade 8 math
We couldn’t confirm the IAR’s own reporting categories for grade 8 on the state’s pages, so the practice set groups its questions by topic:
The Number System
- Rational and irrational numbers
- Estimating square roots between whole numbers
Expressions and Equations
- The rules of exponents
- Square roots and cube roots
- Scientific notation
- Slope from two points or a table
- Equations with variables on both sides
- Systems of two linear equations
Functions
- What makes a relation a function
- Linear functions as models: rate of change and starting value
- Telling linear and nonlinear functions apart
Geometry
- Translations, reflections and rotations on the coordinate plane
- Similar figures and dilations
- Angles in triangles and where parallel lines are crossed
- The Pythagorean theorem
- Volume of cylinders, cones and spheres
Statistics and Probability
- Scatter plots: association and lines of fit
- Two-way tables and relative frequencies
- The IAR checks the Illinois Learning Standards (Common Core).
- Calculators: No calculator in grades 3-5. Grades 6-7 use a four-function calculator with square root and percent, and grade 8 a scientific calculator, on the calculator sections. Online tests have an embedded calculator for those sections.
How to help at home
Do one set, then talk
After a set, look at the ones they missed together. Ask how they got their answer before saying what the right one is.
Little and often
A short set a few times a week does more than a long session the week before.
Use real life
Prices at the store, recipes, distances and times on a trip: grade-level math is everywhere.
Keep it calm
The test checks how the year went. A good night’s sleep helps more than cramming.
For the real test’s screens and tools, try the state’s official practice.
Other grades
See Thena explain the ones they missed
With an account, Thena goes over every question your child gets wrong: she puts it back on her board, finds the slip and works it through out loud, then gives them one like it to do alone.
Try 3 lessons free