IAR Grades 6-8 Ratios and Proportional Relationships. Practice it free.

Understand ratio concepts and use ratio reasoning to solve problems. This Grades 6-8 reporting domain maps to 12 practice skills and 8 representative questions from the playable bank.

Grades 6-812 mapped skills
What the test measures

Ratios and Proportional Relationships skills

  1. understand ratio concepts and use ratio reasoning to solve problems

  2. apply and extend previous understandings of multiplication and division to divide fractions by fractions

  3. compute fluently with multi-digit numbers and find common factors and multiples

  4. apply and extend previous understandings of arithmetic to algebraic expressions

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 6.60×66.60 \times 6?

6.60×6=39.66.60 \times 6 = 39.6.

Practice playeasy

What is 36×37\dfrac{3}{6} \times \dfrac{3}{7}?

Multiply across: 3×36×7=942=314\dfrac{3 \times 3}{6 \times 7} = \dfrac{9}{42} = \dfrac{3}{14}.

Practice playeasy

Which expression is equivalent to 157+r215 - 7 + r^{2}?

The constants 1515 and 7-7 are like terms: 157=815 - 7 = 8. The term r2r^{2} stays the same, so the expression is equivalent to r2+8.r^{2} + 8\textsf{.}

Practice playeasy

Simplify: 5(9x5)5(9x - 5).

Distribute 5: 59x+55=45x255 \cdot 9x + 5 \cdot -5 = 45x - 25.

Practice playeasy

A package of nuts weighs 112112 ounces. What is the weight in pounds? (11 pound =16= 16 ounces)

Use a conversion factor with pounds in the numerator so ounces cancel: 112 oz×1 lb16 oz=7 lb112 \text{ oz} \times \dfrac{1 \text{ lb}}{16 \text{ oz}} = 7 \text{ lb}.

Practice playeasy

What is 34?3^{4}\textsf{?}

34=3333=81.3^{4} = 3 \cdot 3 \cdot 3 \cdot 3 = 81\textsf{.}

Practice playeasy

Write 6×6×66 \times 6 \times 6 using an exponent.

The base 66 appears 33 times as a factor, so 6×6×6=636 \times 6 \times 6 = 6^{3}.

Practice playeasy

Write 0.360.36 as a percent.

Multiply by 100: 0.36×100=36%0.36 \times 100 = 36\%.

Keep practicing

Turn ratios and proportional relationships into game time.

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