Washington D.C. | DC CAPE Mathematics | Grade 4
How Does the 4th Grade DC CAPE Math Test Work? Understanding the Score (2026 Guide)
Grade 4 DC CAPE Math results are most actionable when they are converted into a growth plan. This guide links mechanics, score meaning, and next step priorities. This guide helps parents, teachers, and tutors understand how the test works, what the score means, and what to do next.
How does the test work?
The DC CAPE Math is the general statewide assessment system for Washington D.C, designed to measure student proficiency relative to educational standards (DC CAPE Spring 2024 Assessment Design and Blueprint Math). This computer-based assessment is administered annually to students in grades 3 through 8 and high school. The assessment consists of three distinct sections administered over multiple testing sessions. Students encounter three types of tasks including conceptual skills, mathematical reasoning, and modeling applications. Since the assessment blueprint aligns to grade level domains and standards, score interpretation works best with domain strength and gap analysis.
Is DC CAPE Math adaptive?
No. The current version of the DC CAPE Math utilizes a fixed-form assessment design (DC CAPE 2.0 Frequently Asked Questions). A transition to computer-adaptive testing is scheduled to begin with the 2026-27 school year administration.
What does the score actually mean?
Student performance is reported using a Scale Score ranging from 650 to 850 DC CAPE Mathematics Performance Level Ranges. Scores are categorized into five performance levels where levels 4 and 5 indicate a student has met or exceeded expectations.
This test reports a Scale Score built from counted item performance. Operational questions contribute to the result, and the test converts that performance into a common scale so scores can be compared fairly across forms and years. In plain terms, this is more than a simple classroom percentage. The scale score represents how strong the student's grade level math performance was on the official assessment. That reported score is then compared with official cut score levels for grade level interpretation, and schools use those levels for official reporting. Below, official level ranges are based on the state's published score range table. Use the official level table for test reported ranges, and the percentile table for a simpler planning conversation with parents and tutors.
To get the exact percentile for any score, use the DC CAPE Mathematics Score Tool.
Score Levels
| Level | Scale Score Range | Explanation |
|---|---|---|
| Intervention | 650-724 | Below grade level target right now |
| On Track | 725-749 | Close to grade level, but still not fully consistent |
| Proficient | 750-795 | Meeting grade level expectations |
| Advanced | 796-850 | Exceeding grade level expectations |
Parent-Friendly Percentile Buckets
| Support Band | Percentile | Scale Score Range | Meaning |
|---|---|---|---|
| Intervention | < 21st percentile | 650-724 | Stop and rebuild significant foundation gaps before moving forward |
| On Track | 21st-40th percentile | 725-749 | Close to grade level, but needs more consistent practice time to fully clear grade level skills |
| Proficient | 41st-75th percentile | 750-795 | Good base, now aim for stronger scores with better mixed and multi step accuracy |
| Advanced | > 75th percentile | 796-850 | Very strong result, so enrichment such as math olympiads can build advanced reasoning and problem solving strength |
What is a good score?
A practical minimum target is Proficient (750-795). A common stronger readiness goal is upper Proficient performance, ideally Advanced. In numerous top performing school contexts, upper Proficient and Advanced bands include a large share of students, so those are common target ranges for families. Growth is still critical in lower bands, as moving from below grade level to proficiency usually happens through multiple steps across test rounds.
For students already near the top percentile, growth naturally compresses, so maintaining high performance and deepening problem solving is often a better goal than expecting large percentile jumps.
What does this mean in practice?
The examples below show what each score band looks like in real questions. For basic stability, a practical target is around 60% accuracy, but stepping into the next band usually requires meaningfully better accuracy. For DC CAPE Math, this progression is most useful when questions are grouped in order: one grade lower, early same grade, late same grade, then next grade readiness.
1. Intervention | One grade lower skill | 650-724
What is 34 x 1?
Standard: 3.OA.C.7
Band level focus: one grade lower foundation skills that often block current grade fluency
Grade 4 Washington D.C. DC CAPE Math | 6-Week Test Prep | Scale Score 650-850
2. On Track | Early same grade skill | 725-749
You need to draw a right angle. At what degree measure should you set your protractor?
Standard: 4.G.A.1
Band level focus: early same grade core skills that need consistent accuracy
Grade 4 Washington D.C. DC CAPE Math | 6-Week Test Prep | Scale Score 650-850
3. Proficient | Late same grade skill | 750-795
Which number is NOT a factor of 18?
Standard: 4.OA.B.4
Band level focus: late same grade work with stronger reasoning and multi step control
Grade 4 Washington D.C. DC CAPE Math | 6-Week Test Prep | Scale Score 650-850
4. Advanced | Next grade readiness | 796-850
A bottle contains 1.5 liters of water. A glass holds 250 milliliters. How many full glasses of water can you pour from the bottle?
Standard: 5.MD.A.1
Band level focus: next grade readiness and higher complexity problem solving
Grade 4 Washington D.C. DC CAPE Math | 6-Week Test Prep | Scale Score 650-850
Practical prep advice
For DC CAPE Math Grade 4, foundational gaps are crucial. Early and mid level questions are where stable scores are built, so weak accuracy there makes it harder to recover later in the test. Confidence matters during the test. When students miss too many early questions, stress rises quickly and performance usually drops, so start from the lowest missing grade skill and build upward in order.
Questions tend to be similar year over year, so practicing similar questions helps a lot and gives students confidence on test day when they recognize formats they already practiced.
That is why our Grade 4 Washington D.C. DC CAPE Math | 6-Week Test Prep | Scale Score 650-850 is organized by percentile bands and domains. It helps parents, teachers, and tutors identify the lowest missing grade skill quickly and map practice to target score ranges and state percentile bands.
Sources
Grade 4 Washington D.C. DC CAPE Math
DC CAPE Mathematics Score Tool
DC CAPE Spring 2024 Assessment Design and Blueprint Math (dc.mypearsonsupport.com)