Give your fourth grader the confidence to succeed on the New Hampshire NH SAS Grade 4 Math test.
This Smart Stars practice book provides five full-length, standards-aligned practice tests that mirror the length, item mix, and question types of the real NH SAS spring assessment in Mathematics. Every question was written by experienced educators, reviewed for accuracy, and built around New Hampshire’s College- and Career-Ready Standards for Mathematics at Grade 4 (the Common Core standards New Hampshire has adopted) so the topics and emphasis match what New Hampshire students actually see.
NH SAS (the New Hampshire Statewide Assessment System) is the test the New Hampshire Department of Education gives to every public-school student in Grades 3-8 (and Grade 11). It is delivered by Cambium Assessment as an untimed, computer-adaptive test. The spring administration is the one that counts toward grade-level results. The Grade 4 math test uses no calculator and no reference sheet, and it blends single-answer multiple choice with multiple-select (“select all”), type-in answers, drop-down sentence-completion, plot-the-point and build-a-line-plot tasks, table-fill questions, and two-part questions. On the test a student answers about 34 scored questions, with a few unscored field-test questions mixed in invisibly. Each practice test here follows that same shape: 34 scored-style questions plus 8 field-test-style questions, 42 in all, for 210 questions across the book: to build true test-day endurance.
What’s inside
- Five full-length practice tests, with detailed Answers and Explanations after every test
- Coverage of all three areas NH SAS reports at Grade 4 (Operations and Algebraic Thinking; Numbers and Operations in Base Ten and Fractions; and Measurement and Data and Geometry) weighted toward the base-ten and fraction work that carries about half the test, just like the real blueprint
- Field-test-style questions blended invisibly into each test, just like the real NH SAS, and fully answered here so nothing on test day feels unfamiliar
- Practice in every NH SAS item format rendered for paper: multiple choice, multiple select (“select all that apply”), type-in/fill-in answers, drop-down sentence-completion, two-part questions, plot-the-point and build-a-line-plot tasks, table-fill, number lines, area models, angle figures, and figure-based geometry
- Every explanation walks through the reasoning step by step and ends with a labeled Tip, Check, or Estimate (with a Strategy on the multi-step questions), so students learn the move, not just the answer
- A Quick Answer Key after the tests for fast self-grading
- A family letter, a test-taking tips section, and a Grade 4 math study reference page up front: included as a study aid, since the real NH SAS provides no reference sheet at Grade 4
- No-calculator practice throughout, matching the official NH SAS Grade 3-5 policy
No calculator and no reference sheet. The real Grade 4 test provides neither, so students practice exactly as they will test: with only pencil, paper, and what they have learned. An inch ruler is helpful for the measurement and line-plot questions.
Topics covered
- Place value to one million; reading, writing, comparing, and rounding multi-digit whole numbers, including standard and expanded form, and the way each place is ten times the place to its right
- Multi-digit addition and subtraction within a million, with and without regrouping, and missing-digit problems
- Multi-digit multiplication (up to four digits by one digit, and two digits by two digits) and division with and without remainders
- “Times as many” multiplicative comparison, and multi-step word problems using all four operations, including interpreting remainders
- Factors, multiples, and prime and composite numbers to 100, and number and shape patterns
- Equivalent fractions; comparing and ordering fractions using benchmarks and common denominators; adding and subtracting fractions and mixed numbers with like denominators; and multiplying a fraction by a whole number (halves, thirds, fourths, fifths, sixths, eighths, tenths, and hundredths)
- Decimal notation for tenths and hundredths, comparing decimals, and relating fractions and decimals
- Angles: measuring and drawing angles, classifying them as acute, right, or obtuse, angles as fractions of a full circle, and adding and subtracting to find an unknown angle
- Area and perimeter of rectangles, including finding an unknown side
- Measuring and plotting length data on line plots marked in halves, quarters, and eighths
- Lines of symmetry, and classifying triangles and quadrilaterals by their sides and angles
- Converting a larger unit to a smaller one, and elapsed-time and money problems
Why parents and teachers choose Smart Stars
- Educator-authored. Every question is written and reviewed by classroom-experienced educators.
- Mirrors test day. Each practice test matches the official NH SAS shape, item mix, question formats, and no-calculator, no-reference-sheet policy, with field-test questions blended in invisibly just like the real test.
- Built for New Hampshire. Aligned to New Hampshire’s College- and Career-Ready Standards for Mathematics at Grade 4 (the Common Core), with grade-appropriate real-world contexts and a diverse cast of student names.
- Explanations teach the why. Every Answers and Explanations entry shows the full worked solution, then a labeled closing Tip, Check, or Estimate (and a Strategy on multi-step problems) so students learn the reasoning.
- Varied and graduated. Slot positions, contexts, names, and number choices rotate test-to-test, and the five tests step up in difficulty: the later tests lean on more multi-step, multi-select, and two-part reasoning: so no two feel like the same practice run.