NAEP Grade 8 Measurement Practice — Sports Academy Games

What the test measures

Measurement skills

use of instruments
application of processes
area
volume
measurement reasoning

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

A rectangular prism has length $2$ , width $3$ , and height $4$ . What is its volume?

$V = 2 \times 3 \times 4 = 24$ .

Practice playeasy

Pentagons $ABCDE$ and $FGHJK$ are similar. The perimeter of pentagon $ABCDE$ is $35\textsf{,}$ and the perimeter of pentagon $FGHJK$ is $21\textsf{.}$ Side $AB$ corresponds to side $FG\textsf{,}$ and $AB = 20\textsf{.}$ What is the length of $FG\textsf{?}$

The scale factor from pentagon $ABCDE$ to pentagon $FGHJK$ is $\dfrac{21}{35} = \dfrac{3}{5}\textsf{.}$ So $FG = 20 \cdot \dfrac{3}{5} = 12\textsf{.}$

Practice playeasy

Find the volume of a sphere with radius $2$ . Use $\pi = 3$ .

$V = \dfrac{4}{3} \pi r^{3} = \dfrac{4}{3} \times 3 \times 8 = 32$ .

Practice playeasy

A circle has a diameter of $26$ yards. What is the circumference, in yards, of the circle?

The circumference of a circle is $C = \pi d$ . Substitute $d = 26$ : $C = \pi(26) = 26\pi\textsf{.}$

Practice playeasy

A circle has radius $5$ . Using $\pi = 3$ , what is its area?

$A = \pi r^2 = 3 \times 25 = 75$ .

Practice playhard

A rectangular prism has volume $72$ cubic centimeters and height $4$ centimeters. The length is twice the width. What is the width, in centimeters?

$V = \ell w h$ and $\ell = 2w$ , so $72 = (2w)(w)(4) = 8w^2$ . Then $w^2 = 9$ and $w = 3\text{ cm}\textsf{.}$

Practice playmedium

A metal pipe is shaped like a cylinder with radius $2$ centimeters and length $10$ centimeters. Both ends of the pipe are open. What is the exterior surface area, in square centimeters, of the pipe?

With both ends open, only the lateral surface is exterior: $SA = 2\pi rh$ . With $r = 2$ and $h = 10$ , $SA = 2\pi(2)(10) = 40\pi$ square centimeters.