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Digital SAT · Math
Section 2, Module 1
The function f is defined by f(x) = 2x² − 12x + 13. What is the minimum value of f(x)?
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Practice for the SAT, ACT, TR-YOS, 31 AP subjects, GRE, GMAT, LSAT, IELTS, TOEFL and PTE. Product availability varies by exam and subject.
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- Set your paceChoose the number of questions. Add a timer for pace practice, or take your time learning the method.
- Leave knowing whyCheck your answer and worked solution, then bring the skill into your next session.
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Your next practice session
A little more focus.
Work at your own pace · Craft and Structure
02 / Put it all together
Make the test screen feel familiar.
Use practice to get comfortable with the clock, the tools and moving through your exam.
On this screen
- Choose your section order
- Section timer and optional break
- Bookmarking, with a review screen at the end of each section where you can change up to three answers
- On-screen calculator in Data Insights
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GMAT sample interface: illustrative timer, position and navigator; no question shown. Tools and formats vary by exam.
From practice to a full sitting
Rehearse the decisions you’ll make on test day.
Keep an eye on your pace
Section and module timers help you experience a complete timed sitting.
Use the tools for your exam
On the GMAT: choose your section order; section timer and optional break. In SAT Math: Desmos, the reference sheet, answer elimination and mark for review.
Practise the right structure
SAT adapts between modules; GMAT adapts question by question. Other exams follow their own section structures. Saved attempts let you return; timer rules vary by exam.
Available free tests are listed on the practice page. A free account is required.
A score is the start. Find your next move.
Your report helps you decide what deserves your next study session. Open a topic in this sample to see the mistake log behind it.
Review → understand → try again
See where to spend your effort.
Look past the total
Compare topic and subtopic accuracy. The full report includes a skill radar so you can spot uneven areas.
Separate knowledge from pacing
See question times and filter for wrong, blank or slow answers. A question you missed and one you rushed can need different work.
Turn a weak topic into practice
Review the worked explanation, then open that topic in the question bank. Your report’s rule-based roadmap gives you a practical study order.
This sample uses illustrative data. Estimated scores use our conversion, are not official scores and do not predict your test-day result. Report details vary by exam.
Digital SAT
Practice Test 4 · Score report
Estimated total
1420
of 400–1600
- Reading and Writing
- 670
- Math
- 750
- Accuracy
- 82%80/98
- Pacing
- Needs attention
- Weakest topic
- Advanced Math
Math skill balance
Sample accuracy by topic. A different shape calls for a different focus.
Math · accuracy by topic
Sample mistake log for Advanced Math No. Skill and fix Reason Time M2·05 Equivalent expressionsMedium WrongAt pace 1:12target 1:35 Drill Equivalent expressions, medium M2·11 Nonlinear functionsHard WrongOver target 2:48target 1:35 Drill Nonlinear functions, timed M2·16 Nonlinear equations and systemsHard WrongOver target 1:40target 1:35 Drill Nonlinear equations and systems, timed M2·05 · Medium
Equivalent expressions
Wrong · 72s / 95s target
Practise this skillM2·11 · Hard
Nonlinear functions
Wrong · 168s / 95s target · Slow
Practise this skillM2·16 · Hard
Nonlinear equations and systems
Wrong · 100s / 95s target · Slow
Practise this skill
+ 3 more in the full review
Sample mistake log for Geometry and Trigonometry No. Skill and fix Reason Time M1·14 Right triangles and trigonometryMedium WrongOver target 1:44target 1:35 Drill Right triangles and trigonometry, timed M2·19 CirclesHard WrongOver target 2:11target 1:35 Drill Circles, timed M1·14 · Medium
Right triangles and trigonometry
Wrong · 104s / 95s target · Slow
Practise this skillM2·19 · Hard
Circles
Wrong · 131s / 95s target · Slow
Practise this skill
Sample mistake log for Problem-Solving and Data Analysis No. Skill and fix Reason Time M1·09 Two-variable dataMedium WrongAt pace 1:28target 1:35 Drill Two-variable data, medium M1·09 · Medium
Two-variable data
Wrong · 88s / 95s target
Practise this skill
Sample mistake log for Algebra No. Skill and fix Reason Time M2·07 Systems of two linear equationsHard WrongOver target 1:37target 1:35 Drill Systems of two linear equations, timed M2·07 · Hard
Systems of two linear equations
Wrong · 97s / 95s target · Slow
Practise this skill
IELTS · Overall band history
Skipped step in the solution
After an AI Tutor review: return to the saved note and question in your results.
Keep the useful parts of every session
Your practice has a history.
Build on it.
See your scores over time, return to saved reports and keep track of what you’ve worked on. Everything has a place in your dashboard.
- Compare like with likeYour score history groups attempts by exam, so each comparison stays useful.
- Notice recurring mistakesAfter saved AI Tutor reviews, revisit your mistake types and notes with links back to the questions.
- Keep showing upStudy streaks and practice badges mark your activity, one session at a time.
Try one. See how the explanation helps.
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Your explanation appears here
After you answer, you will see whether you were right, why the correct option is correct, why each of the others is wrong, and a method you can reuse. Every question in the question bank comes with a worked explanation of its solution.
- Topic
- Advanced Math
- Question type
- Multiple choice
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Finish a practice test
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Open the AI Tutor
Go in from the AI Tutor card on your results page, then pick the lesson language, how it runs and the tutor's voice.
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Talk it through
The tutor asks, you answer; the steps go up on the board and hints come when you're stuck.
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Move on
Press “Finish this question” once you've got it. Your first 2 mistakes are free; after that you carry on in 30-minute blocks.
Independent practice, from TestPrep Group.
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What is the difference between a practice test and a question bank?
A practice test is a full-length, timed sitting in the structure of the real exam. It tells you where you stand and ends in an exam-specific score report and a review of every question. A question bank is for targeted practice: you choose a section, topic, skill and difficulty, answer a set of questions, then review every answer with its worked explanation. Most students use the test to find weak areas and the bank to fix them.
Which exams can I practise for?
Digital SAT, ACT, TR-YOS, 31 AP subjects, GRE General Test, GMAT Exam, Law School Admission Test, IELTS Academic, TOEFL iBT and PTE Academic. Full-length practice tests are available for the Digital SAT, ACT, TR-YOS, 31 AP subjects, GRE General Test, GMAT Exam, Law School Admission Test, IELTS Academic, TOEFL iBT and PTE Academic, and question banks for the Digital SAT, ACT, TR-YOS, 2 AP subjects, GRE General Test, GMAT Exam, IELTS Academic, TOEFL iBT and PTE Academic. Published tests open after payment; packs can also include tests sold before publication, with access starting when those tests open.
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Yes. The Digital SAT, ACT, TR-YOS, 21 AP subjects, GRE General Test, GMAT Exam, Law School Admission Test, IELTS Academic, TOEFL iBT and PTE Academic each have one free full-length practice test. A fixed free sample, the same questions for everyone: 30 in the SAT bank, 30 in the ACT bank, 30 in the TR-YOS bank, 30 in the GRE bank, 30 in the GMAT bank, 30 in the IELTS bank, 30 in the TOEFL bank, 30 in the PTE bank and 20 in each AP bank. The sample questions on this site are free without an account.
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How many questions are in the question banks?
SAT: 9,000; ACT: 7,500; TR-YOS: 3,123; AP Chemistry: 8,294; AP Physics 1: 8,001; GRE: 20,314; GMAT: 11,271; IELTS: 7,890; TOEFL: 2,980; PTE: 6,605. The counts are read from the live question database and include only questions that are available to practise.
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