Vermont VTCAP Grade 4 Math Practice Tests

Give your fourth grader the confidence to succeed on the Vermont VTCAP 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 VTCAP spring assessment in Mathematics. Every question was written by experienced educators, reviewed for accuracy, and built around the Common Core State Standards for Mathematics at Grade 4 — the standards Vermont has adopted and assesses — so the topics and emphasis match what Vermont students actually see.

Take a look inside

VTCAP — the Vermont Comprehensive Assessment Program — is the test the Vermont Agency of Education gives to every public-school student in Grades 3-9.

• Delivery: delivered by Cognia, with the spring administration the one that counts toward grade-level results.
• Format: an untimed, computer-adaptive test given in two sessions, with paper forms available as an accommodation.
• Tools at Grade 4: no calculator and no reference sheet.
• Question types: single-answer multiple choice, multiple-select (“select the two”), type-in answers, drop-down and table questions, and longer written-response questions that ask students to show their work and explain their thinking.
• Length: a student answers 37 scored questions, with a few unscored field-test questions mixed in invisibly.
• Each practice test here: 37 scored-style questions plus 6 field-test-style questions, 43 in all, for 215 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 every Grade 4 math area Vermont reports — Operations and Algebraic Thinking, Number and Operations in Base Ten, Fractions, Measurement and Data, and Geometry — weighted toward the Operations and Fractions work that carries the most questions, just like the real blueprint
• Written-response (constructed-response) questions like the ones on the real test, each with a full sample answer and a point-by-point look at how the two scoring traits — the math (Concepts and Procedures) and the reasoning (Mathematical Practices) — earn credit
• Field-test-style questions blended invisibly into each test, just like the real VTCAP, and fully answered here so nothing on test day feels unfamiliar
• Practice in every VTCAP item format rendered for paper: multiple choice, multiple select (“select the two”), type-in/fill-in answers, drop-down and matching-table questions, two- and three-part written-response questions, number lines, line plots, area models, decimal grids, protractor angles, and figure-based geometry
• A combined Quick Answer Key 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 VTCAP provides no reference sheet at Grade 4
• No-calculator practice throughout, matching the official VTCAP Grade 3-5 policy

Topics covered

• Place value through the hundred-thousands; reading, writing, comparing, and rounding multi-digit whole numbers in standard, expanded, and word form, and the way each place is worth ten times the one to its right
• Multi-digit addition and subtraction with the standard algorithm, including missing-digit problems
• Multiplying whole numbers up to four digits by a one-digit number, and two two-digit numbers, using area models and place value
• Dividing up to four-digit numbers by one-digit numbers and interpreting remainders, using area models
• “Times as many” multiplicative comparison, multi-step word problems, and equations with a letter standing for the unknown
• Factors, multiples, prime and composite numbers, and number and shape patterns
• Equivalent fractions; comparing fractions with different numerators and denominators; adding and subtracting fractions and mixed numbers with like denominators; multiplying a fraction by a whole number
• Decimal notation for tenths and hundredths, and comparing decimals with models and place value
• Line plots marked in halves, fourths, and eighths, and solving problems from the data
• Area and perimeter of rectangles, including finding an unknown side and composite (L-shaped) figures
• Measurement conversions within one system (kilometers, meters, centimeters; kilograms, grams; liters, milliliters; hours, minutes; feet, inches) and multi-step measurement and money problems
• Angles: measuring and drawing angles with a protractor, angle measure as a fraction of a circle, and adding adjacent angles to find an unknown angle
• Points, lines, rays, and angle types (acute, right, obtuse); classifying two-dimensional figures by parallel and perpendicular sides and by angles; and lines of symmetry

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 VTCAP shape, item mix, question formats — including the hand-scored written-response questions — and no-calculator policy, with field-test questions blended in invisibly just like the real test.
• Built for Vermont: Aligned to the Common Core State Standards for Mathematics at Grade 4 as assessed by VTCAP, 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 written-response reasoning — so no two feel like the same practice run.