QUANTITATIVE REASONING · GRAPHICAL + DATA REASONING

Read the contract.
Then make the claim.

Four study objectives connect graphs, tables, equations, denominators, and finite-domain sufficiency. Every conclusion stays inside the supplied axes, units, population, and domain.

Start two guided lessons →Build a balanced set ↗See every objective ↓
2official topics
4study objectives
2guided lessons
0invented weights

Official scope

Two named lines.
No fabricated quotas.

The ADA lists Graphical analysis and Data Analysis, Interpretation, and Sufficiency within Mathematical Problems. It does not publish separate question counts for these lines.

DAT TRAIN’s four objectives organize instruction; they do not predict ADA frequency, order, difficulty, or scoring. This route is a learning bank, not a calibrated form or score converter.

OFFICIAL HIERARCHY → STUDY SEQUENCE

Two branches. Four outcomes.

Open a branch to inspect its outcome, evidence limit, known trap, representations, and free source trail before beginning the lesson.

D1Graphical analysis2 objectives
Objective 1QR-MAT-GRA-01

Extract quantities from graphs

Read axes, scale, units, points, intervals, slope, and intercept from a graph before calculating or comparing.

Must know
Axis labels and tick spacing define the quantitative meaning of every mark. Slope is a change ratio with units; an intercept is a modeled value at a reference input.
Evidence limit
Do not extrapolate beyond the displayed or stated domain without an explicit model.
Common trap
The steepest-looking line always has the greatest slope. Slope comparisons require the axis scales and units, not visual angle alone.
Representations
graph · table · unit ledger
Objective 2QR-MAT-GRA-02

Move between models

Match equations, tables, and graphs by testing invariant features such as intercepts, slope, curvature, symmetry, and domain.

Must know
A small set of structural features can reject most mismatches before point-by-point calculation. Equivalent representations must agree on both values and allowed inputs.
Evidence limit
A few matching sample points do not prove two models identical over every input.
Common trap
One shared point means a graph and equation are the same model. Many different models intersect; compare defining behavior and domain.
Representations
graph · table · equation
D2Data analysis, interpretation, and sufficiency2 objectives
Objective 1QR-MAT-DAI-01

Read data before summarizing

Identify variables, groups, units, totals, trends, and anomalies in tables or displays before selecting a numerical summary.

Must know
A total, percentage, rate, and percentage-point difference answer different questions. The display’s population and denominator define what can be concluded.
Evidence limit
Describe association or displayed change without converting it into an unsupported causal claim.
Common trap
A larger percentage always represents a larger count. Counts depend on both the percentage and the group size.
Representations
table · data display · graph
Objective 2QR-MAT-DAI-02

Test information sufficiency

Decide whether each supplied statement, alone or together, determines the requested quantity without solving beyond what the decision requires.

Must know
Sufficiency asks whether a unique answer follows, not whether one compatible answer can be found. Each statement must be tested independently before testing their combination.
Evidence limit
Do not import unstated positivity, integrality, geometry, or domain assumptions.
Common trap
A statement is sufficient if it lets me construct one answer. It must exclude every alternative answer allowed by the prompt.
Representations
text · equation · table

ANSWER INTEGRITY

The picture is checked.
The key is recomputed.

  1. 01Axis contract

    Labels, units, ranges, ticks, points, and domains validate before display.

  2. 02Exact model

    Interpolation, slope, pooled rates, and differences stay rational.

  3. 03Complete domain

    Every allowed candidate is tested before information is called sufficient.

  4. 04Unique match

    The computed result must match exactly one semantic choice.

Free source ladder

Trace scope and instruction.

ADA DAT 2026 Candidate GuideSection count, timing, calculator, and administration policy. ↗ADA DAT User’s ManualMathematical-problem split and the two displayed topic lines. ↗OpenStax Algebra and Trigonometry 2eFree instruction for functions, graphs, slope, and representations. ↗OpenStax Introductory Statistics 2eFree instruction for data, populations, samples, and summaries. ↗