IAR Grades 3-5 Number and Operations in Base Ten. Practice it free.

Use place value understanding and properties of operations to perform multi-digit arithmetic. This Grades 3-5 reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.

Grades 3-53 mapped skills
What the test measures

Number and Operations in Base Ten skills

  1. generalize place value understanding for multi-digit whole numbers

  2. use place value understanding and properties of operations to perform multi-digit arithmetic

  3. develop understanding of fractions as numbers

  4. apply and extend previous understandings of multiplication and division to fractions

Standards basis

Illinois Learning Standards incorporating the Common Core State Standards (CCSS-M) — Illinois

How the IAR reports it

IAR is Illinois’ state assessment built on the Illinois Learning Standards incorporating the Common Core, and its math design follows the PARCC-style blueprinting approach used for grades 3–8. ISBE’s resources page points to the PARCC mathematics model content frameworks, and the IAR page says the math evidence statements are aligned directly to the Common Core State Standards.

Blueprint & weighting

IAR uses the PARCC-derived / Illinois Assessment of Readiness (IAR) framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is 17+4417 + 44?

17+44=6117 + 44 = 61.

Practice playeasy

What is 706770 - 67?

7067=370 - 67 = 3.

Practice playeasy

Round 984984 to the nearest ten.

The digit one place to the right is 44, so round down: 984980984 \to 980.

Practice playeasy

What is 69+4069 + 40?

69+40=10969 + 40 = 109.

Practice playeasy

What is 211821 - 18?

2118=321 - 18 = 3.

Practice playeasy

Round 862862 to the nearest hundred.

The digit one place to the right is 66, so round up: 862900862 \to 900.

Practice playeasy

What is 54+8454 + 84?

54+84=13854 + 84 = 138.

Practice playeasy

What is 928992 - 89?

9289=392 - 89 = 3.

Keep practicing

Turn number and operations in base ten into game time.

The IAR placement starts with this test's real coverage map and finds the right difficulty.