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6b7697a 1e40328 6b7697a 67913ab 6b7697a 67913ab | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 | # AMC12 Dataset (Research-Oriented)
A structured dataset derived from the AMC 12 (American Mathematics Competitions), designed for **LLM training, evaluation, and reinforcement learning (RL)** on mathematical reasoning tasks.
This repository contains **all AMC 12 problems from 2000–2025**, making it one of the most complete AMC12 datasets available for research.
---
## 📘 Introduction
The AMC 12 is a **25-question, 75-minute multiple-choice examination** aimed at high school students. Problems are designed to **increase in difficulty progressively**, requiring a combination of algebra, geometry, combinatorics, and number theory reasoning.
* **Format:** 25 multiple-choice questions (A–E)
* **Duration:** 75 minutes
* **Difficulty progression:** Problems 1 → 25 increase in complexity
* **Calculator policy:**
* Since 2008, calculators are **not permitted**
* Problems are designed to be solvable without computational aids
Top-performing students (~top 6%) are invited to participate in the AIME, making AMC 12 a strong proxy for **high-level mathematical reasoning ability**.
---
## 📦 Dataset Overview
Each sample corresponds to a single AMC 12 problem.
### Example (JSONL)
```json
{
"year": 2019,
"problem_id": "2019A-15",
"question": "...",
"answer": "D",
"difficulty": 3
}
```
---
## 🧱 Schema
Each entry in the dataset follows this structure:
| Field | Type | Description |
| ------------ | ------ | --------------------------------------------------------------------------------- |
| `problem_id` | string | Unique identifier in the format `{year}{A/B}-{problem_number}` (e.g., `2019A-15`) |
| `year` | int | Competition year (2000–2025) |
| `question` | string | Full problem statement (including choices) |
| `answer` | string | Correct answer option (`A`–`E`) |
| `difficulty` | int | Difficulty level derived from problem order |
### 🔑 Problem ID Definition
The `problem_id` encodes the full provenance of each problem:
```
{year}{A/B}-{problem_number}
```
* `{year}` → competition year
* `{A/B}` → AMC12A or AMC12B
* `{problem_number}` → position in the exam (1–25)
#### Examples
* `2007B-5` → AMC 12B, 2007, Problem 5
* `2019A-15` → AMC 12A, 2019, Problem 15
---
### Difficulty Structure
We adopt a coarse-grained difficulty approximation aligned with problem order:
| Problem Range | Difficulty |
| ------------- | --------------- |
| 1–10 | Easy–Medium (2) |
| 11–20 | Medium–Hard (3) |
| 21–25 | Hard (4) |
This structure enables:
* Curriculum learning
* Difficulty-aware evaluation
* Model capability stratification
---
## 🚀 Why This Dataset?
### Compared to Other Math Datasets
* **Not heavily pretrained**
Unlike datasets such as GSM8K, AMC-style problems are less likely to be memorized by models
* **Higher reasoning complexity**
Problems typically require **multi-step, structured reasoning**, often exceeding datasets like MATH500
* **Clean evaluation signal**
* Multiple-choice format eliminates ambiguity
* No unit mismatch issues (e.g., “8 months vs 240 days”)
* **Fully verifiable**
Every problem has a **unique, discrete answer**, ideal for RL reward design
---
### Compared to Other AMC Datasets
* **Complete coverage (2000–2025)**
Includes all AMC12A and AMC12B problems across 25 years
* **Fully indexed & traceable**
Each problem maps directly to its original contest and position
* **Structured for ML pipelines**
Ready for:
* RL training (PPO / GRPO)
* Pass@k evaluation
* Verifier-based reward systems
---
## 📚 Data Source & Attribution
This dataset is curated from publicly available resources, with primary reference to:
* Art of Problem Solving
All AMC problems are **copyrighted by the Mathematical Association of America (MAA)** under the American Mathematics Competitions program.
This repository does **not claim ownership** of the original problem statements and provides them solely for research and educational purposes.
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