The 2026 AMC 10 Paper A/B has not yet been released. This page offers predicted key topics, 25 original mock practice questions with step-by-step solutions, format specs and a prep guide. Scan to get the paper and answer key first.
2026 AMC 10 A/B paper overview and exam highlights.
The 2026 AMC 10 Papers A and B have not yet been released. After the post-exam quiet period ends, we will publish the paper and step-by-step solutions here as soon as possible. Scan to get the paper and answer key first.
Before the official paper is out, this page offers predicted key topics and 25 original mock practice questions (not the real 2026 paper) for prep reference; we will update to the matched version as soon as the paper is released.
2026 AMC 10 predicted topic areas and weights based on recent trends.
Functions and equations, simplification, word problems; about 30% (predicted).
Triangles, circles, coordinate geometry, area and volume; about 25% (predicted).
Divisibility, divisor counts, modular arithmetic and digit cycles; about 15% (predicted).
Permutations and combinations, counting and construction, casework; about 20% (predicted).
Classical probability, dice and expectation; about 10% (predicted).
2026 AMC 10 predicted-topic original mock questions (Basic · Medium · Hard; not the real paper) — submit to grade and view step-by-step solutions.
If x = -2, what is the value of 3x2 - 2x + 5?
Correct answer: C
Substitute x = -2: 3(-2)2 - 2(-2) + 5 = 3(4) + 4 + 5 = 21. Answer C. Key: direct substitution; watch signs.The sum of four consecutive integers is 62. What is the smallest?
Correct answer: B
Let the smallest be n: n + (n+1) + (n+2) + (n+3) = 4n + 6 = 62, so 4n = 56 and n = 14. Answer B. Key: model consecutive integers by the smallest.How many positive divisors does 18 have?
Correct answer: C
18 = 2 × 32, so the number of divisors is (1+1)(2+1) = 6 (namely 1, 2, 3, 6, 9, 18). Answer C. Key: divisor-count formula.A rectangle has length 12 and width 7. What is its perimeter?
Correct answer: B
Perimeter = 2(12 + 7) = 38. Answer B. Note 84 is the area, not the perimeter. Key: rectangle perimeter.An item is sold for $48 after a 20% markup on cost. What is the cost?
Correct answer: C
Cost × 1.2 = 48, so cost = 48 ÷ 1.2 = 40. Answer C. Key: price = cost × (1 + markup).A fair six-sided die is rolled once. What is the probability of an even number greater than 2?
Correct answer: C
Even numbers greater than 2 are 4 and 6 — 2 outcomes out of 6, so 1/3. Answer C. Key: classical probability.In how many ways can 4 different books be arranged in a row?
Correct answer: D
Permutations of 4 distinct items: 4! = 4×3×2×1 = 24. Answer D. Key: n distinct items have n! permutations.What is the remainder when 2026 is divided by 8?
Correct answer: C
8 × 253 = 2024, and 2026 − 2024 = 2, so the remainder is 2. Answer C. Key: division with remainder.If 5x − 3 = 22, what is x?
Correct answer: C
5x = 25, so x = 5. Answer C. Key: solve a linear equation.A circle has radius 5. What is its area? (in terms of π)
Correct answer: C
Area = πr2 = π × 52 = 25π. Answer C. Key: area of a circle.If x2 − 7x + 12 = 0, what is the sum of all possible values of x?
Correct answer: D
(x−3)(x−4) = 0, so x = 3 or 4, sum = 7. Answer D. Key: Vieta — sum of roots = −b/a = 7.What is the greatest common divisor of 54 and 90?
Correct answer: C
54 = 2×33, 90 = 2×32×5, so GCD = 2×32 = 18. Answer C. Key: take the minimum power of each prime.From 6 people, a committee of 2 is chosen. How many ways?
Correct answer: C
C(6,2) = (6×5)/(2×1) = 15. Answer C. Key: combinations ignore order; C(n,k) = n!/(k!(n−k)!).Two angles of a triangle are 50° and 60°. What is the third angle?
Correct answer: C
Angles sum to 180°, so the third is 180 − 50 − 60 = 70°. Answer C. Key: triangle angle sum.The mean of 6 numbers is 20. After removing one, the mean of the remaining 5 is 22. What was removed?
Correct answer: C
Sum of 6 = 6×20 = 120; sum of 5 = 5×22 = 110; removed = 120 − 110 = 10. Answer C. Key: mean = sum ÷ count.What is the units digit of 32026?
Correct answer: D
Powers of 3 cycle through 3, 9, 7, 1 (period 4). 2026 = 4×506 + 2, remainder 2, so the units digit is 9. Answer D. Key: cyclic units digits.A alone finishes a job in 4 hours, B in 6 hours. How long together?
Correct answer: B
Rates 1/4 + 1/6 = 5/12, so time = 1 ÷ (5/12) = 12/5 = 2.4 hours. Answer B. Key: combined rate = sum of rates.A circle has circumference 44 (π = 22/7). What is its radius?
Correct answer: C
C = 2πr = 2×(22/7)×r = 44, so r = 44×7 ÷ (2×22) = 7. Answer C. Key: circumference formula.Two fair six-sided dice are rolled. What is the probability the sum is 7?
Correct answer: C
Sum-7 ordered pairs: (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) — 6 of 36, so 1/6. Answer C. Key: list ordered pairs.An item is discounted 20%, then the discounted price is marked up 25%. The final price is what percent of the original?
Correct answer: B
After discount: 0.8; after markup: 0.8 × 1.25 = 1.0 = 100%. Answer B. Key: successive percent changes multiply.How many positive integers less than 200 are divisible by both 5 and 7?
Correct answer: B
Divisible by both 5 and 7 ⟺ divisible by LCM(5,7) = 35. Multiples of 35 below 200: 35, 70, 105, 140, 175 — 5 numbers. Answer B. Key: LCM.How many three-digit positive integers have all distinct digits?
Correct answer: B
Hundreds digit: 1–9 (9 choices); tens: 0–9 except the hundreds digit (9); units: 8. Total = 9×9×8 = 648. Answer B. Key: count digit by digit; leading digit ≠ 0.A right circular cone has base radius 3 and height 4. What is its volume? (in terms of π)
Correct answer: A
V = ⅓πr2h = ⅓π×32×4 = ⅓π×9×4 = 12π. Answer A. Key: cone volume = ⅓ × base area × height.Given a + b = 5 and ab = 6, what is a3 + b3?
Correct answer: A
a3 + b3 = (a+b)3 − 3ab(a+b) = 125 − 90 = 35 (equivalently a, b = 2, 3, so 8 + 27 = 35). Answer A. Key: sum-of-cubes identity.In how many ways can 10 be written as a sum of three positive integers (a + b + c = 10, order matters)?
Correct answer: D
Let a′ = a−1, b′ = b−1, c′ = c−1; then a′+b′+c′ = 7 (non-negative). By stars and bars: C(7+3−1, 3−1) = C(9,2) = 36. Answer D. Key: stars and bars for positive compositions.Unified AMC 10 specs, consistent across years.
Papers A and B are comparable in difficulty and scope. Students may take either, or both — the higher score is used for awards and AIME qualification.
Four steps · Overview / Topics / Practice / Prep
Read the 2026 AMC 10 A/B overview and format specs to grasp the year’s style.
Review the key topics and weights, and locate your weak areas.
Complete the 25 mock questions (75-minute limit); submit for auto-grading and right/wrong marks.
Open the step-by-step solutions, learn from mistakes, and scan for full papers to push for AIME.
Prep tips and score-boosting advice for the 2026 AMC 10 A/B paper.
Complete the 25 mock questions on this page within 75 minutes to train pacing and time management.
Use the predicted-topic breakdown to prioritize high-frequency areas like algebra and geometry before number theory and combinatorics.
Medium and hard problems often need casework and construction; drill enumeration that is complete and non-overlapping.
Open the solution for every wrong answer; once the real paper is out, recheck your mistakes against the official key.
Aiming above 105? Secure all basic and most medium questions first, then tackle the last 5; scan for 1-on-1 coaching.
Frequent questions about the 2026 AMC 10 papers and answers.
Scan to add the advisor for 2026 AMC 10 A/B past papers, answer keys and solutions, plus a custom prep plan.
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