NAEP Grade 8 Number Properties and Operations Practice

What the test measures

Number Properties and Operations skills

whole numbers and rational numbers
decimal fractions including percentages
common fractions
number sense
computation and operations
mathematical reasoning within number and operations

Standards basis

NAEP Mathematics Framework (National Assessment Governing Board framework; not a CCSS-M/state standards test blueprint) — national

How the NAEP reports it

NAEP mathematics is organized by the National Assessment Governing Board’s framework, not by state standards. The current framework assesses Grades 4, 8, and 12 and uses five content areas, with item distributions and complexity levels specified in the official framework; it is a national assessment and not aligned to Common Core as a governing blueprint, though it reflects broadly modern school math expectations.

Blueprint & weighting

Published item distribution by grade and content area: Grade 4 — Number Properties and Operations 40%, Measurement 20%, Geometry 15%, Data Analysis/Statistics/Probability 10%, Algebra 15%; Grade 8 — Number Properties and Operations 20%, Measurement 15%, Geometry 20%, Data Analysis/Statistics/Probability 15%, Algebra 30%; Grade 12 — Number Properties and Operations 10%, Measurement and Geometry 30%, Data Analysis/Statistics/Probability 25%, Algebra 35%.

Official sources

National Center for Education Statistics
National Center for Education Statistics
National Center for Education Statistics

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $-2 - (-4)$ ?

Result: $2$ .

Practice playmedium

$(1.5 \times 10^{4})(8 \times 10^{3})$ equals

Multiply coefficients and add exponents: $1.5 \cdot 8 = 12$ and $4+3=7$ , giving $12 \times 10^{7}$ . Rewrite as $1.2 \times 10^{1} \times 10^{7}=1.2 \times 10^{8}\textsf{.}$

Practice playeasy

What is $\dfrac{3}{6} \times \dfrac{3}{7}$ ?

Multiply across: $\dfrac{3 \times 3}{6 \times 7} = \dfrac{9}{42} = \dfrac{3}{14}$ .

Practice playeasy

What is $|0|$ ?

$0$ is its own distance from $0$ , so $|0| = 0$ .

Practice playeasy

Which is closest to $\sqrt{2}$ ?

$\sqrt{2} \approx 1.414$ .

Practice playmedium

Which integer is closest to $-\dfrac{29}{6}$ on the real number line?

$-\dfrac{29}{6} \approx -4.83$ . Compare distances: $|{-5} - (-4.83)| \approx 0.17$ and $|{-4} - (-4.83)| \approx 0.83$ . The closest integer is $-5$ .