IAR grade 7 math practice test
A free practice set in the style of grade 7 math on the IAR: 12 questions in the online formats state tests use, marked as soon as you finish. Nothing is stored.
Grade 7 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 7 math
We couldn’t confirm the IAR’s own reporting categories for grade 7 on the state’s pages, so the practice set groups its questions by topic:
Ratios and Proportional Relationships
- Proportional relationships and the constant of proportionality
- Unit rates with fractions
- Percent problems: tips, discounts, markups and percent change
- Money: sales tax and simple interest
The Number System
- Adding and subtracting positive and negative numbers
- Word problems with negative numbers
- Multiplying and dividing positive and negative numbers
Expressions and Equations
- Combining like terms and expanding
- Solving two-step equations
- Solving two-step inequalities
Geometry
- Scale drawings and maps
- Supplementary, complementary and vertical angles
- Circumference and area of circles
- Volume and surface area of prisms
- Which side lengths and angles make a triangle
Statistics and Probability
- Random samples, and predictions from them
- Comparing two groups by their means and spread
- The probability of a simple event
- Compound events: counting outcomes and their probability
- 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