About this book
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.
Take a look inside
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).
- Delivery: delivered by Cambium Assessment, with the spring administration the one that counts toward grade-level results.
- Format: an untimed, computer-adaptive test.
- Tools at Grade 4: no calculator and no reference sheet.
- Question types: single-answer multiple choice, 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.
- Length: a student answers about 34 scored questions, with a few unscored field-test questions mixed in invisibly.
- Each practice test here: 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
- 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
Find more practice and learn about our other books at smartstarsprep.com.
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.
