North Dakota State Content Standards for Mathematics — North Dakota
NDSA Grade 4 Number and Operations—Fractions. Practice it free.
Builds fraction equivalence, comparison, and operations with fractions. This Grade 4 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.
What the test measuresStandards basis How the NDSA reports it Blueprint & weighting Official sources
Number and Operations—Fractions skills
Explain why a fraction a/b is equivalent to an equivalent fraction (a x n)/(b x n) using visual fraction models.
Compare two fractions with different numerators and different denominators.
Add and subtract fractions with like denominators and solve word problems involving fraction addition and subtraction.
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
North Dakota administered its own state assessment program (the NDSA, a Cambium computer-adaptive test in grades 3-8 and 10; replaced by ND A+ beginning spring 2025). An official NDSA mathematics public-facing CAT blueprint (Cambium/NDDPI, Oct 2020) does exist and lists per-grade reporting categories with percentage ranges, but its full per-grade table could not be retrieved character-for-character from a citable primary source for transcription here (the Cambium content CDN blocks programmatic access). The NDSA reporting categories are the CCSS-M grade-level domains: the assessment was built on North Dakota's 2017 math standards, which are verbatim CCSS-M organized by grade-level domains. The coverage map below uses North Dakota's 2023-standards-style domain/standard codes (e.g. 3.AR.OA) but the skill content is CCSS-M.
An official NDSA mathematics CAT blueprint (Cambium/NDDPI public-facing CAT version, Oct 2020) publishes per-grade reporting-category percentage ranges (e.g. grade 3 Operations and Algebraic Thinking ~31-34%, Number and Operations in Base Ten ~22-24%; grade 6 groups Ratios & Proportional Relationships and The Number System ~28-34% and Expressions and Equations ~25-29%). The complete per-grade table could not be retrieved verbatim from a citable primary source (the Cambium content CDN returns HTTP 403 to programmatic fetches), so domain weights in the mapping are left null rather than transcribing partial/uncertain figures or splitting blueprint percentages across the grade-6+ domain groupings.
North Dakota DPI – State Assessment page
North Dakota DPI – Home
North Dakota Department of Agriculture – Ag Mag teacher guide with ND math standards references
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8 free questions · 0/0 correct
Simplify to lowest terms.
GCF of 20 and 32 is 4: .
Find the equivalent fraction: .
Multiply top and bottom by 4: .
Which fraction is equivalent to ?
Multiply both parts of by 2: .
Fill in: .
Multiply numerator and denominator by 2: .
Simplify to lowest terms.
GCF of 4 and 16 is 4: .
Find the equivalent fraction: .
Multiply top and bottom by 2: .
Which fraction is equivalent to ?
Multiply both parts of by 4: .
Fill in: .
Multiply numerator and denominator by 5: .
Keep practicing
Turn number and operations—fractions into game time.
The NDSA placement starts with this test's real coverage map and finds the right difficulty.
Related Common Core standards
Number and Operations—Fractions in other NDSA grades
Source and test overview