AMC12 Study Guide 2026
Everything you need to pass the AMC12 exam in one place: the exam format, every topic to study, real practice questions with explanations, flashcards, and full-length practice tests. Free, no sign-up needed.
📋 AMC12 Exam Format at a Glance
25
Questions
75 min
Time Limit
65.00%
Passing Score
📚 AMC12 Topics to Study (30)
Complex Numbers · 7 cardsComplex Numbers · 7 cardsComplex Numbers · 7 cardsAlgebra · 6 cardsAlgebra · 6 cardsAlgebra · 6 cardsCombinatorics and Probability · 6 cardsCombinatorics and Probability · 6 cardsCombinatorics and Probability · 6 cardsCombinatorics & Probability · 6 cardsCombinatorics & Probability · 6 cardsCombinatorics & Probability · 6 cardsGeometry · 6 cardsGeometry · 6 cardsGeometry · 6 cardsNumber Theory · 6 cardsNumber Theory · 6 cardsNumber Theory · 6 cardsSequences and Series · 6 cardsSequences and Series · 6 cardsSequences and Series · 6 cardsSequences & Series · 6 cardsSequences & Series · 6 cardsSequences & Series · 6 cardsTrigonometry · 6 cardsTrigonometry · 6 cardsTrigonometry · 6 cardsTrigonometry & Precalculus · 6 cardsTrigonometry & Precalculus · 6 cardsTrigonometry & Precalculus · 6 cards
✍️ Sample AMC12 Questions & Answers
1. In the Fibonacci sequence 1, 1, 2, 3, 5, 8, ..., what is the 8th term?
✓ 21
Continuing the Fibonacci sequence: the 8th term is 21.
2. If z = cos(π/6) + i·sin(π/6), what is z + z̄ (z plus its complex conjugate)?
✓ √3
z = √3/2 + i/2 and z̄ = √3/2 − i/2, so z + z̄ = √3 (the imaginary parts cancel).
3. How many solutions does sin(x) = sqrt(3)/2 have in [0, 2pi)?
✓ 2
sin(x)=sqrt(3)/2 at x=pi/3 and x=2pi/3, giving 2 solutions.
4. A committee of 3 is chosen from 7 people. How many ways can this be done?
✓ 35
C(7, 3) = 7!/(3! × 4!) = 35.
5. If log(xy)=5 and log(x/y)=1, what is log x?
✓ 3
Adding the two equations gives 2log(x)=6, so log(x)=3.
6. What is the product of the three terms of the geometric sequence 2, 6, 18?
✓ 216
2 × 6 × 18 = 216; note 6 = ∛216, which confirms the middle term property.
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Your AMC12 Study Path
1. Learn with Flashcards → 2. Drill Practice Tests → 3. Take the Full Exam Simulation