2024 AMC 8 Problems and Analysis

The 2024 AMC 8 competition has concluded. In this comprehensive guide, we provide 2024 AMC 8 problems, answers and solutions to help you navigate the competition. You can freely download the 2024 AMC 8 problems PDF, which includes all the questions from the exam. This article also offer an analysis of the AMC 8 2024 answers and AMC 8 2024 solutions to help you understand the solutions. Let’s started with WuKong Math!

1. 2024 AMC 8 Problems [With Free PDF]

In this section, we provide access to a freely downloadable PDF of the 2025 AMC 8 problems. This resource is invaluable for students preparing for the competition, as it allows them to practice with the actual problems that were presented during the event.

2. 2024 AMC 8 Answers

Number	Answer	Number	Answer	Number	Answer
1	B	2	C	3	E
4	E	5	B	6	D
7	E	8	D	9	E
10	B	11	D	12	E
13	B	14	A	15	C
16	D	17	E	18	A
19	C	20	D	21	E
22	C	23	C	24	B
25	C

3. 2024 AMC 8 Topic Distribution

Below is a visual text-based representation of the topic breakdown across the 25 problems on the exam:

• Algebra & Pre-Algebra: 36% (9 out of 25 problems)
• Geometry: 28% (7 out of 25 problems)
• Combinatorics, Counting & Probability: 24% (6 out of 25 problems)
• Number Theory: 12% (3 out of 25 problems)

4. Types of Problems in 2024 AMC 8

The table below breaks down the problems by core mathematical category, specific problem numbers, item count, and their position/difficulty scale on the test.

(Note: In the AMC 8, difficulty scales along with the problem number: Problems 1–5 are Foundational, 6–10 are Easy-Medium, 11–15 are Medium, 16–20 are Medium-Hard, and 21–25 are Advanced.)

Core Category	Specific Problem Numbers	Total Count	Difficulty Tier	Key Concepts Tested
Algebra & Pre-Algebra	1, 2, 8, 9, 10, 12, 15, 19, 21	9	Foundational to Advanced	Unit digits calculation, decimal fractions, word problems, algebraic growth, systems of equations, and ratio constraints.
Geometry	3, 6, 11, 18, 20, 22, 24	7	Foundational to Advanced	Area subtraction, perimeter/path optimization, coordinate geometry, circle sectors, 3D cubes, and special triangles.
Combinatorics, Counting & Prob.	5, 7, 13, 14, 17, 25	6	Foundational to Advanced	Dice product distributions, rectangle tiling optimizations, lattice paths/Catalan constraints, shortest path graphs, and non-attacking grid placements.
Number Theory	4, 16, 23	3	Foundational to Advanced	Arithmetic series/consecutive sums, perfect squares, divisibility constraints, and lattice points on lines.

5. Classic and Important Example Problems Analysis

Example A: Problem 3 (Geometry / Overlapping Area) — Foundational

• Context: Four squares with side lengths 4, 7, 9, and 10 units are arranged in increasing size order so that their left and bottom edges align. The squares alternate in color (white-gray-white-gray). Find the area of the visible gray region.
• Mathematical Strategy: Boundary Decomposition and Area Subtraction.
• Analysis & Solution: The visible colored gray region is formed by two separate hollow gray borders:

1. The outermost border is formed by the 10 × 10 gray square minus the overlapping 9 × 9 white square:

   Area₁ = 10² − 9² = 100 − 81 = 19

2. The inner border is formed by the 7 × 7 gray square minus the smallest 4 × 4 white square:

   Area₂ = 7² − 4² = 49 − 16 = 33

Adding these two concentric borders together yields the total visible gray area:

Total Area = 19 + 33 = 52

Example B: Problem 13 (Combinatorics / Bound-Restricted Paths) — Medium

• Context: Buzz Bunny hops up and down a set of stairs, one step at a time. Starting on the ground, he takes a sequence of 6 hops and ends up back on the ground. How many valid hopping paths exist if he can never go below ground level?
• Mathematical Strategy: Catalan Number Principles / Systematic Path Counting.
• Analysis & Solution: To start at ground level (0) and return to 0 after 6 hops, Buzz must make exactly 3 Up hops (U) and 3 Down hops (D). Without any ground constraints, the total arrangements would be 20. However, the path must maintain a non-negative net altitude at every step. These are formally known as Dyck paths, and for 3 pairs of steps, the answer matches the 3rd Catalan number (C₃):

C₃ = 1 / (3+1) × 20 = 20 / 4 = 5

We can explicitly confirm these 5 valid paths:

1. UUUDDD
2. UUDUDD
3. UUDDUD
4. UDUUDD
5. UDUDUD

Example C: Problem 17 (Combinatorics / Spatial Logic) — Medium-Hard

• Context: Find the number of ways to place two chess kings on a 3 × 3 grid such that they do not attack each other (kings attack all adjacent squares horizontally, vertically, or diagonally).
• Mathematical Strategy: Casework based on Board Symmetry.
• Analysis & Solution: We can place the first king down and evaluate how many safe squares remain for the second king based on the first king’s position:

• Case 1: The first king is in a Corner square. There are 4 corners. A corner king attacks itself and 3 adjacent squares (1 + 3 = 4 squares total), leaving 9 − 4 = 5 safe squares for the second king.

  Ways = 4 × 5 = 20

• Case 2: The first king is on an Edge square (non-corner). There are 4 edge positions. An edge king attacks itself and 5 adjacent squares (1 + 5 = 6 squares total), leaving 9 − 6 = 3 safe squares for the second king.

  Ways = 4 × 3 = 12

• Case 3: The first king is in the Center square. There is 1 center square. A center king attacks all 8 surrounding squares, leaving 0 safe squares for the second king.

  Ways = 1 × 0 = 0

Summing all independent cases, the total number of non-attacking ordered placements is:

Total Ways = 20 + 12 + 0 = 32

Example D: Problem 23 (Algebra & Number Theory / Coordinate Geometry) — Advanced

• Context: A line segment on graph paper connecting (0, 4) to (2, 0) intersects the interior of 4 grid cells. If Rodrigo draws a line segment connecting (2000, 3000) to (5000, 8000), how many cell interiors will it intersect?
• Mathematical Strategy: Grid-Intersection Formula using Greatest Common Divisors (gcd).
• Analysis & Solution: The number of unit grid cells intersected internally by a straight line segment between two lattice points is given by the classic formula:

Cells Intersected = Δx + Δy − gcd(Δx, Δy)

Where Δx and Δy represent the absolute horizontal and vertical changes.

For Rodrigo’s new line segment:

• Δx = 5000 − 2000 = 3000
• Δy = 8000 − 3000 = 5000

Now, determine the greatest common divisor of the two dimension shifts:

gcd(3000, 5000) = 1000

Plugging these parameters back into the intersection formula yields:

Cells Intersected = 3000 + 5000 − 1000 = 7000

Rodrigo will color exactly 7000 cells.

6. AMC 8 Past Score Line Review

In this section, we will provide score line predictions for the 2026 AMC 8 competition. Score lines are important indicators for evaluating performance in the competition. We will also provide references to past AMC 8 score lines to help you better understand the level of competition. Please note that score lines are only for reference, and specific award criteria may vary by year and region.

Competition Year	AMC 8 TOP 5% Score Line	AMC 8 TOP 1% Score Line
2023	17 points	21 points
2022	19 points	22 points
2020	18 points	21 points
2019	19 points	23 points
2018	15 points	19 points
2017	17 points	20 points
2016	18 points	22 points
2015	16 points	21 points
2014	19 points	23 points
2013	18 points	22 points

7. Best Tips of Preparing for the AMC8 2027

Now that you know what to expect from the AMC’s 8th competition, here are all the ways to prepare for it. 

1. Refrain from relying upon rote learning. 

Rote learning is the process of mindless memorization of information by repeatedly reading it. The practice is widespread when it comes to formulas in the mathematical field. Children are more fond of just memorizing the content. However, understanding the syllabus is the best method for AMC 8 2025. For this, review past exam papers and consider multiple topics. Try to judge the emphasis on the problem-solving skills and critical thinking overall in the niche, including arithmetic, geometry, number theory, and arithmetic. 

2. Engage in Regular Practice

Be consistent about the time to practice AMC 8 problems spanning various mathematical concepts. Repa the issues from your guidebook or past paper and Solve sample questions. Try not to avoid looking at the solutions while solving it. This way, you will be able to polish your skills better. In addition, I analyze solution strategies, focusing on approaches to solve problems efficiently and accurately.

3. Work smartly 

Take a keen look at all the AMC8 past papers problems and observe the pattern. That means finding the problems and questions repeated yearly with different values. These are some of the most important questions you might be aware of. 

4. Consider mock tests and time management. 

Appearing in the AMC8 is more than just being proficient in mathematics. Instead, it is about handling the pressure of exam situations and location. One great way to prepare yourself is by simulating the exam conditions through timed practice tests. Set a daily timer when you start your practice and monitor your progress. Try to beat yourself every other day. This way, you are polishing your math skills and getting ready to perform well in the complex examination environment. 

5. Review and reflect 

In the practice session, review your work and keenly examine all the correct and incorrect solutions you have provided. Understand the solving strategies and learn from your mistakes. In addition, make sure to adapt approaches for solving the resembling questions more effectively. 

It is better to ask for professional help. Ask any expert in the field to review your work and provide unbiased feedback based on your performance. 

6. Stay confident 

Last but not least, stay confident. That means looking at each AMC 8 question with complete confidence and a positive mindset. Stay calm about the problem. Instead, look at it as a warrior on a mission to conquer all issues through solutions before sunset. Embrace each question as an ultimate opportunity for growth. Know that confidence. And positive attitudes are the most valuable assets one can have.