Diagnostic Test: directions
The diagnostic is one module of Digital SAT Math: 22 questions in 35 minutes. Take it once, under time, before you start reviewing, so that what you get wrong points you to the chapters that close the gap.
- Time: give yourself 35 minutes for all 22 questions.
- Tools: a calculator is allowed throughout, and the reference sheet of formulas is available.
- Format: questions 1 through 16 are multiple-choice; questions 17 through 22 are grid-ins (student-produced responses), where you produce your own answer.
- After: score with the answer key, then use the skills map to route every answer you marked wrong to the section that teaches it.
Student-produced responses (questions 17 to 22)
Work out each answer and enter it in the response box. Enter an integer, a decimal, or a fraction; a fraction need not be reduced. Mixed numbers such as must be entered as or . If an answer is a repeating decimal, fill the entire field. Do not enter symbols such as a percent sign, comma, or dollar sign.
How to use the skills map
After you finish, each question has an answer, a worked solution, and a named skill. The skills map ties every question to one of the four SAT Math domains and to the section of the course that teaches that skill. Find each question you answered wrong; its row names the domain the question belongs to and the section to review, so go there first.
Review more than just the wrong answers. A question you guessed on, got right but felt uncertain about, or spent too long on still belongs in your review: a right answer reached slowly or by luck is not yet a secure skill.
| Domain | Questions | Skills covered |
|---|---|---|
| Algebra | 1, 2, 5, 11, 14, 17, 21 | Linear equations, slope, systems, rate and starting amount, mixtures |
| Advanced Math | 4, 7, 8, 10, 13, 15, 18, 20 | Function evaluation, factoring, absolute-value inequalities, exponential growth, vertex form, equivalent expressions, the discriminant |
| Problem-Solving and Data Analysis | 3, 9, 19 | Percentages, percent change, the mean |
| Geometry and Trigonometry | 6, 12, 16, 22 | Parallel-line angles, sectors, right-triangle trigonometry, the equation of a circle |
Turn the score into a plan
Tally the questions you answered wrong by domain. A cluster in one domain (three wrong in Advanced Math, say) points to where a few hours of focused review will move your score the most. A scatter of single careless errors across domains points instead to the accuracy habits of Part V.
For each miss, also name the source of the error: missing content, a missed relationship, the wrong requested quantity, a slow setup, an overlooked calculator route, or an execution mistake. The topic tells you where to study; the error source tells you how to practice.
Either way, the diagnostic has done its work: it has turned a score into a short, specific list of what to do next. Work that list, then take the first full-length test.