QUANTITATIVE REASONING · APPLIED MATHEMATICS

Name the target.
Make the units cancel.

Two study objectives connect words to relationships, units to valid operations, and calculator output to a final magnitude and context audit.

10official applied questions
2study objectives
1guided lesson
0invented context quotas

Official scope

One published group count.
No fabricated context mix.

The ADA publishes 10 Applied Mathematics (Word) Problems within the 40-question Quantitative Reasoning section.

It does not divide those 10 questions into rate, percent, mixture, work, motion, finance, geometry, or measurement quotas. Those labels organize DAT TRAIN instruction; they do not predict ADA frequency, wording, order, difficulty, or scoring.

Original practice contexts

Eight settings. One modeling grammar.

Every setting begins with the requested quantity, relationship, units, and feasibility conditions—not a keyword-to-operation shortcut.

OFFICIAL HIERARCHY → STUDY SEQUENCE

One branch. Two passes.

Inspect the model-translation and result-audit outcomes, their evidence limits, common traps, representations, and source trail before beginning.

A1Applied Mathematics (Word) Problems2 objectives
Objective 1QR-APP-WRD-01

Translate the situation into a model

Name the requested quantity, define variables, align units, and translate rates, percentages, mixtures, motion, work, finance, or measurement constraints into equations.

Must know
A unit ledger exposes missing conversions and distinguishes a rate from a quantity. The model should state what each variable measures before numbers are substituted.
Evidence limit
The official label is broad; DAT TRAIN examples may organize common contexts but do not claim unpublished ADA context quotas.
Common trap
The operation can be chosen from the numbers alone. The relationships and units determine the model before arithmetic begins.
Representations
word problem · equation · unit ledger
Objective 2QR-APP-WRD-02

Solve, estimate, and audit the result

Solve an applied model, use the digital calculator selectively, and reject results that fail magnitude, unit, sign, domain, or context checks.

Must know
An estimate predicts the answer’s sign and scale before exact arithmetic. A calculated value must be interpreted in the requested unit and feasible context.
Evidence limit
Calculator output is arithmetic evidence, not proof that the chosen model or interpretation is valid.
Common trap
A calculator display is automatically the answer. Round, label, and test the result against the original situation.
Representations
word problem · unit ledger · table

ANSWER INTEGRITY

Relationships choose operations.
Units expose mistakes.

  1. 01Target

    Name the requested quantity, unit, and feasible range.

  2. 02Model

    Translate the invariant relationship before substituting values.

  3. 03Convert

    Use factors equal to one until only the requested unit remains.

  4. 04Audit

    Test the exact result against estimate, scale, sign, and context.

Free source ladder

Trace scope and instruction.

ADA DAT 2026 Candidate GuideSection count, timing, calculator, units, and policy. ↗ADA DAT User’s ManualOfficial 30 mathematical / 10 applied problem split. ↗OpenStax mixture and motionFree relationship-table and applied-equation instruction. ↗OpenStax percent applicationsFree tax, discount, percent-change, and interest instruction. ↗OpenStax geometry applicationsFree perimeter, area, and dimensional-measure instruction. ↗OpenStax systems of measurementFree conversion-factor and unit-cancellation instruction. ↗