IAR grade 4 math practice test
A free practice set in the style of grade 4 math on the IAR: 12 questions in the online formats state tests use, marked as soon as you finish. Nothing is stored.
Grade 4 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 4 math
We couldn’t confirm the IAR’s own reporting categories for grade 4 on the state’s pages, so the practice set groups its questions by topic:
Operations and Algebraic Thinking
- Comparing with “times as many”
- Multistep word problems, and what to do with a remainder
- Factors, multiples, and prime and composite numbers
Number and Operations in Base Ten
- Place value to a million: the value of a digit, and expanded form
- Rounding and comparing multi-digit numbers
- Adding and subtracting multi-digit numbers
- Word problems with multi-digit numbers
- Multiplying up to four digits by one digit, and two digits by two digits
- Word problems with multiplying
- Dividing up to four digits by one digit
- Money: income, expenses and profit
Number and Operations: Fractions
- Equivalent fractions
- Comparing fractions with different denominators
- Adding and subtracting fractions and mixed numbers with like denominators
- Word problems with fractions that have the same denominator
- Multiplying a fraction by a whole number
- Tenths and hundredths as fractions and decimals
Measurement and Data
- Converting customary units: feet and inches, pounds and ounces, hours and minutes
- Area and perimeter of rectangles, including a missing side
- Angle measures that add together
- Line plots with fractions of an inch
Geometry
- Acute, right and obtuse angles; lines and rays
- Sorting shapes by their sides and angles, and lines of symmetry
- 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