STAAR Grade 8 Numerical Representations and Relationships. Practice it free.

Represent numbers, understand relationships among them, and reason quantitatively. This Grade 8 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

Grade 816 mapped skills

What the test measures

Numerical Representations and Relationships skills

work with irrational numbers and scientific notation
compare and order rational and irrational numbers
represent and analyze linear and nonlinear relationships
apply proportional reasoning and number properties
TEKS mathematical process standards applied to grade 8 content

Standards basis

Texas Essential Knowledge and Skills (TEKS) for Mathematics — Texas

How the STAAR reports it

STAAR math is a Texas state assessment built on the Texas Essential Knowledge and Skills (TEKS), not a Common Core framework. Texas publishes explicit STAAR reporting categories by grade/course, with item reporting aligned to TEKS content strands and student expectations.

Blueprint & weighting

TEA’s publicly visible STAAR Mathematics Resources page does not publish item weights in the page content reviewed here. The category structure is explicit, but no percentage blueprint was visible in the sourced materials.

Official sources

Texas Education Agency – STAAR Mathematics Resources
Texas Education Agency – STAAR Interim Assessments
Texas Education Agency – Texas Administrative Code, Title 19, Part 2

Practice by skill

Topics mapped to this domain

Ratio, rate, and proportion word problems

Grade 710 questions

Ratios, rates, and proportions

Grade 7125 questions

Irrational number approximations

Grade 820 questions

Evaluating exponential functions

Grade 810 questions

Scientific notation

Grade 815 questions

Operations with scientific notation (ACT)

Grade 810 questions

Try it now

8 free questions · 0/0 correct

Practice playmedium

On a map, $1.5$ inches represents an actual distance of $36$ miles. At this scale, what is the actual distance, in miles, represented by $4$ inches on the map?

Scale: $\dfrac{36}{1.5} = 24$ miles per inch. For $4$ inches: $24 \times 4 = 96$ miles.

Practice playeasy

Solve for $x$ : $\dfrac{4}{32} = \dfrac{6}{x}$ .

Cross-multiply: $4 x = 32 \cdot 6 = 192$ . So $x = 48$ .

Practice playeasy

Which is closest to $\sqrt{5}$ ?

$\sqrt{5} \approx 2.236$ .

Practice playmedium

Let $f(t) = 4e^{3t} + 200$ . Which of the following approximations, written as $a \times 10^n$ with one significant digit, is closest to the value of $f(3)$ ?

Substitute $t = 3$ : $f(3) = 4e^{9} + 200$ . Since $e^{9} \approx 8{,}103$ , $f(3) \approx 4(8{,}103) + 200 = 32{,}612 \approx 3 \times 10^{4}$ .

Practice playeasy

What is $3.2 \times 10^4$ in standard form?

$3.2 \times 10^4 = 32{,}000$ .

Practice playmedium

$\dfrac{6.3 \times 10^{-4}}{2.1 \times 10^{-9}}=$

Divide coefficients and subtract exponents: $6.3 \div 2.1 = 3$ and $-4-(-9)=5$ . So the quotient is $3 \times 10^{5}\textsf{.}$

Practice playeasy

A passenger train traveled $348$ miles in $4$ hours at a constant speed. What was the train's speed, in miles per hour?

Speed = distance $\div$ time: $\dfrac{348}{4} = 87$ miles per hour.

Practice playeasy

$x$ and $y$ are in the ratio $8$ to $3$ . Given that $y = 45$ , what is $x$ ?

$\dfrac{x}{y} = \dfrac{8}{3}$ . With $y = 45$ , $\dfrac{x}{45} = \dfrac{8}{3}$ , so $3x = 360$ and $x = 120$ .

Keep practicing

Turn numerical representations and relationships into game time.

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

Batting Cage game cover

Batting CagePlay →

Blaster Gate game cover

Blaster GatePlay →

Blitz Tanks game cover

Blitz TanksPlay →

Buzzer Beater game cover

Buzzer BeaterPlay →

Related Common Core standards

7.RP.A.2 8.NS.A.2 8.EE.A.3

Numerical Representations and Relationships in other STAAR grades

Grade 4 Grade 6 Grade 7

Source and test overview

All STAAR prep Official test source

Reporting categories

More Grade 8 domains

Computations and Algebraic RelationshipsUse computation and algebraic reasoning to solve problems involving number relationships.8 QsPractice →Geometry and MeasurementUse geometric attributes and measurement concepts to solve problems.8 QsPractice →Data Analysis, Personal Financial Literacy, and ProbabilityInterpret data, analyze chance, and apply personal financial literacy concepts in practical situations.8 QsPractice →