NDSA Grade 7 The Number System. Practice it free.

Extends operations with rational numbers and applies them to real-world problems. This Grade 7 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 77.NS1 mapped skills
What the test measures

The Number System skills

  1. Apply and extend previous understandings of addition, subtraction, multiplication, and division to rational numbers.

  2. Solve real-world and mathematical problems involving the four operations with rational numbers.

  3. Understand subtraction of rational numbers as adding the additive inverse and represent addition and subtraction on a horizontal or vertical number line diagram.

Standards basis

North Dakota State Content Standards for Mathematics — North Dakota

How the NDSA reports it

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.

Blueprint & weighting

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.

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Evaluate: 12+(6)-12 + (-6).

Add: 12+(6)=18-12 + (-6) = -18.

Practice playeasy

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

Result: 22.

Practice playeasy

What is 5+8-5 + 8?

Result: 33.

Practice playeasy

What is (9)÷3(-9) \div 3?

Result: 3-3.

Practice playeasy

What is 7×(2)7 \times (-2)?

Result: 14-14.

Practice playeasy

What is 1+(7)1 + (-7)?

Result: 6-6.

Practice playeasy

What is (16)÷(4)(-16) \div (-4)?

Result: 44.

Practice playeasy

What is (10)×6(-10) \times 6?

Result: 60-60.

Keep practicing

Turn the number system into game time.

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