NAEP Grade 4 Number Properties and Operations. Practice it free.

Numbers are the main tools for describing the world quantitatively; this area covers number sense and the use of numbers to describe quantities, including whole numbers and early fractions. This Grade 4 reporting domain maps to 5 practice skills and 8 representative questions from the playable bank.

Grade 45 mapped skills

What the test measures

Number Properties and Operations skills

whole numbers and the decimal system
fractional parts
counting collections
describing continuous quantities such as length, area, volume, weight, and time
number sense
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

Fraction equivalence and simplification

Grade 4217 questions

Skip counting

Grade 243 questions

Measurement conversions

Grade 435 questions

Time and measurement conversions

Grade 430 questions

Area of rectangles

Grade 340 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

Simplify $\dfrac{4}{16}$ to lowest terms.

GCF of 4 and 16 is 4: $\dfrac{4 \div 4}{16 \div 4} = \dfrac{1}{4}$ .

Practice playeasy

Count by $100$ s: what comes after $300$ ?

$300 + 100 = 400$ .

Practice playeasy

How many ounces are in $2$ cups?

The answer is $16$ .

Practice playeasy

How many seconds in $1$ minute?

$60$ seconds.

Practice playeasy

A square has sides of $2$ m. What is its area in m $^2$ ?

$2 \times 2 = 4$ .

Practice playeasy

Find the equivalent fraction: $\dfrac{6}{7} = \dfrac{?}{14}$ .

Multiply top and bottom by 2: $\dfrac{6 \times 2}{7 \times 2} = \dfrac{12}{14}$ .

Practice playeasy

Count by 2s: $12, 14, 16, \ldots$ What comes next?

Next is $18$ .

Practice playeasy

$5$ feet equals how many inches?

The answer is $60$ .

Keep practicing

Turn number properties and operations into game time.

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

Sprout RowPlay →

Horseshoe Toss game cover

Horseshoe TossPlay →

Karate Board Break game cover

Karate Board BreakPlay →

Balloon Pop Math game cover

Balloon Pop MathPlay →

Related Common Core standards

4.NF.A.1 2.NBT.A.2 4.MD.A.1 3.MD.C.7

Number Properties and Operations in other NAEP grades

Grade 8 Grade 12

Source and test overview

All NAEP prep Official test source

Reporting categories

More Grade 4 domains

MeasurementThis area includes use of instruments, application of measurement processes, and concepts of area and volume.8 QsPractice →GeometryThis area includes spatial reasoning and applying geometric properties.8 QsPractice →Data Analysis, Statistics, and ProbabilityThis area includes graphical displays and statistics.8 QsPractice →