District of Columbia DC CAPE Grade 4 Math Practice Tests

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.

DC CAPE (the District of Columbia Comprehensive Assessments of Progress in Education) is given by the Office of the State Superintendent of Education and delivered by Pearson, with students testing online in TestNav. The Grade 4 math test is computer-adaptive, uses no calculator and no reference sheet, and follows the Common Core standards the District adopted in 2010. Results report four performance levels, where Level 3 means a student has met grade-level expectations. Students answer 23 scored questions with unscored field-test questions mixed in invisibly; each test here follows that shape (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

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.