QUANTITATIVE REASONING · QUANTITATIVE COMPARISON · MIXED PRACTICE

Change the quantities.
Keep the proof.

Interleave exact differences, range bounds, complete domains, and admissible counterexamples with guaranteed topic or objective coverage.

1official topic
2study objectives
1guided lesson
4practice questions
5choices per question

Why this mix works

Coverage first. Randomness second.

01

Classify

Decide whether exact structure, bounds, or admissible cases can prove the relationship most efficiently.

02

Cover

The objective sweep includes one fixed-relation proof and one counterexample proof before shuffling.

03

Restrict

Every test value must remain inside the stated domain, especially when a reciprocal or denominator appears.

04

Repeat

A new set changes question and answer order while the exact semantic conclusion stays attached to its evidence.

Balanced mixed retrieval

Choose quick or both objectives.

Both modes give immediate, option-specific explanations and private issue reporting. Results remain on this device and do not estimate an official DAT score.

4 PRACTICE QUESTIONS · 2 STUDY MODES

Choose the proof. Then compare.

Each mode selects its promised topic or objective coverage first, then shuffles question order and all five answer choices. Every key is recomputed from an exact comparison certificate.

Sources and limits

Official scope, original practice.

The topic label comes from the ADA DAT User’s Manual ↗. The ADA does not publish a separate quota for this Mathematical Problems line, so DAT TRAIN does not invent one.

All four questions and explanations are original. They remain draft and uncalibrated; use raw accuracy to choose what to review, not to predict an official score.