About this book
Give your fourth grader the confidence to succeed on the DC CAPE Grade 4 Math test.
This book provides five full-length practice tests built for the test District of Columbia students take from spring 2027 onward. From the 2026-27 school year, DC CAPE in Grades 3-8 uses Smarter Balanced content in mathematics — so this book is written for the new test, not the PARCC-style exam it replaces.
Take a look inside
DC CAPE — the District of Columbia Comprehensive Assessments of Progress in Education — is given by the Office of the State Superintendent of Education.
- Delivery: delivered by Pearson, with students testing online in TestNav.
- Format: the Grade 4 math test is computer-adaptive and follows the Common Core standards the District adopted in 2010.
- Tools at Grade 4: no calculator and no reference sheet.
- Reporting areas: results report four performance levels, where Level 3 means a student has met grade-level expectations.
- Length: students answer 23 scored questions with unscored field-test questions mixed in invisibly.
- Each practice test here: 25 questions — to build test-day endurance.
What’s inside
- Five full-length practice tests, each ending with a performance task, with detailed Answers and Explanations after every test
- Weighted as DC CAPE weights it: Claim 1, Concepts and Procedures, is 10 of the 23 scored questions on every test, and Claim 3, Communicating Reasoning, is 6 — far more explaining than a typical workbook asks for
- A genuinely different performance task in every test — a community garden, a zoo field trip, a recycling drive, a season of rainfall data, and a playground design — each one situation with five questions that build on one another and end in writing
- Every item format rendered for paper: multiple choice, select-all-that-apply, type-in answers, True/False grids, table fill-ins, number lines, angle diagrams, line plots, composite-area figures, and written response
- Field-test-style questions blended invisibly into each test, and fully answered here
- Every explanation ends with a labeled Tip, Check, or Estimate, and a Strategy on multi-step questions
- A Quick Answer Key for all five tests, a family letter, test-taking tips, and a Grade 4 study reference sheet
The real test adapts to each student, so no two children see the same form. These are fixed forms built to the same blueprint — the same claims in the same proportions, the same kinds of questions — so they are practice in content and format, not a score prediction.
Topics covered
- Place value to 1,000,000, comparing and rounding multi-digit numbers, and expanded form
- Multiplying up to four digits by one digit, and two two-digit numbers, using place-value strategies and area models
- Dividing four-digit numbers by one digit, including problems where the remainder decides the answer
- Multi-step word problems across all four operations, and multiplicative comparison — “times as many”
- Factors, multiples, prime and composite numbers, and number and shape patterns
- Equivalent fractions, comparing fractions with unlike denominators, and using one half as a benchmark
- Adding and subtracting fractions and mixed numbers with like denominators, including regrouping
- Multiplying a fraction by a whole number
- Decimal notation for tenths and hundredths, and comparing decimals
- Measurement conversion from larger units to smaller ones, and multi-step measurement problems
- Area and perimeter, missing side lengths, and the area of composite figures
- Angles: measuring, classifying, adding angle measures, and finding a missing angle
- Line plots in halves, quarters, and eighths of a unit
- Lines and angles, classifying shapes, and lines of symmetry
- Judging whether another student’s reasoning is correct, and explaining why in writing
Why parents and teachers choose Smart Stars
- Educator-authored and reviewed question by question.
- Mirrors test day: real item count, claim balance, formats, performance-task structure, and no-calculator policy.
- Built for the new DC CAPE — the Smarter Balanced content the District moves to in 2026-27.
- Explanations teach the why, with a full worked solution and a labeled closing note.
- Varied: contexts, names, and numbers rotate test to test, and no character name repeats anywhere in the book.
