Fractions and Percentages

A benchmark to evaluate a model's ability to calculate percentages and fractions, including percent-of, fraction-of, and percent change problems.

Run Benchmark
Questions

40

Leaderboard Entries

27

Best Score

100/100

Leaderboard
Rank Model Score Run Date Actions
GPT-5.4 nano
100
682.0ms median
 2026-03-17 19:17:25 View Details
2 GPT-5.4 mini
100
710.0ms median
 2026-03-17 18:55:09 View Details
3 Qwen3.5 4B (LMStudio)
3400 MB
100
938.5ms median
 2026-03-03 21:03:29 View Details
4 Qwen3.5 9B (LMStudio)
6600 MB
100
1437.0ms median
 2026-03-03 19:57:42 View Details
5 Qwen3.5 2B (LMStudio)
2700 MB
100
485.0ms median
 2026-03-03 19:21:36 View Details
6 Claude Haiku 4.5
100
611.5ms median
 2026-03-03 05:53:41 View Details
7 Phi-4 (LMStudio)
9100 MB
100
915.5ms median
 2026-03-03 00:52:22 View Details
8 Qwen3 VL 8B (LMStudio)
5000 MB
100
2957.0ms median
 2026-02-28 18:43:08 View Details
9 Qwen3 4B (LMStudio)
2800 MB
100
423.5ms median
 2026-02-28 18:13:53 View Details
10 Llama 3.1 8B (LMStudio)
4900 MB
100
615.0ms median
 2026-02-28 17:02:21 View Details
11 Granite 3.2 8B (LMStudio)
4900 MB
100
723.5ms median
 2026-02-28 16:19:24 View Details
12 Gemma 3 12B (LMStudio)
8100 MB
100
1444.5ms median
 2026-02-28 15:54:33 View Details
13 GPT-5 mini
100
1025.0ms median
 2026-02-26 01:19:45 View Details
14 GPT-5 nano
100
897.5ms median
 2026-02-26 00:51:46 View Details
15 Gemma 4 E4B IT (LMStudio)
3200 MB
98
661.0ms median
 2026-04-02 20:59:06 View Details
16 OLMo 3 7B (LMStudio)
4300 MB
98
457.5ms median
 2026-02-28 17:37:39 View Details
17 Gemma 2 9B (LMStudio)
5800 MB
98
718.5ms median
 2026-02-28 15:01:41 View Details
18 Qwen3 1.7B (LMStudio)
1100 MB
95
204.0ms median
 2026-02-28 18:05:36 View Details
19 Ministral 8B (LMStudio)
4900 MB
95
623.0ms median
 2026-02-28 17:23:42 View Details
20 Llama 3 8B (LMStudio)
4900 MB
90
571.5ms median
 2026-02-28 16:46:57 View Details
21 Gemma 2 2B (LMStudio)
1500 MB
90
672.0ms median
 2026-02-28 03:23:29 View Details
22 Gemma 4 12B (LMStudio)
7560 MB
72
1621.0ms median
 2026-06-03 18:50:39 View Details
23 SmolLM2 1.7B (LMStudio)
1100 MB
68
210.0ms median
 2026-02-28 19:19:35 View Details
24 Gemma 2B (LMStudio)
1500 MB
52
296.5ms median
 2026-02-28 15:35:20 View Details
25 Llama 3.2 1B (LMStudio)
1300 MB
50
187.0ms median
 2026-02-28 17:13:17 View Details
26 Llama 2 7B (LMStudio)
4900 MB
48
614.5ms median
 2026-02-28 03:05:57 View Details
27 Phi-3.5 Mini (LMStudio)
2500 MB
5
378.0ms median
 2026-02-28 17:49:55 View Details
Questions

Question
If 100 increases by 25%, what is the new value?
Question payload
{
  "question_text": "If 100 increases by 25%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 125.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_increase"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 80 increases by 50%, what is the new value?
Question payload
{
  "question_text": "If 80 increases by 50%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 120.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_increase"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 50 increases by 20%, what is the new value?
Question payload
{
  "question_text": "If 50 increases by 20%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 60.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_increase"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 4/5 of 75?
Question payload
{
  "question_text": "What is 4/5 of 75?",
  "answer_type": "numeric",
  "correct_answer": 60.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 120 increases by 25%, what is the new value?
Question payload
{
  "question_text": "If 120 increases by 25%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 150.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_increase"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 1/8 of 136?
Question payload
{
  "question_text": "What is 1/8 of 136?",
  "answer_type": "numeric",
  "correct_answer": 17.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 2/5 of 15?
Question payload
{
  "question_text": "What is 2/5 of 15?",
  "answer_type": "numeric",
  "correct_answer": 6.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 3/8 of 72?
Question payload
{
  "question_text": "What is 3/8 of 72?",
  "answer_type": "numeric",
  "correct_answer": 27.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 50 decreases by 20%, what is the new value?
Question payload
{
  "question_text": "If 50 decreases by 20%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 40.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_decrease"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 2/3 of 60?
Question payload
{
  "question_text": "What is 2/3 of 60?",
  "answer_type": "numeric",
  "correct_answer": 40.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 50 increases by 25%, what is the new value?
Question payload
{
  "question_text": "If 50 increases by 25%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 62.5,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_increase"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 15% of 120?
Question payload
{
  "question_text": "What is 15% of 120?",
  "answer_type": "numeric",
  "correct_answer": 18.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 250 decreases by 10%, what is the new value?
Question payload
{
  "question_text": "If 250 decreases by 10%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 225.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_decrease"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 120 increases by 10%, what is the new value?
Question payload
{
  "question_text": "If 120 increases by 10%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 132.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_increase"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 80 decreases by 25%, what is the new value?
Question payload
{
  "question_text": "If 80 decreases by 25%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 60.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_decrease"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 2/5 of 65?
Question payload
{
  "question_text": "What is 2/5 of 65?",
  "answer_type": "numeric",
  "correct_answer": 26.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 1/4 of 24?
Question payload
{
  "question_text": "What is 1/4 of 24?",
  "answer_type": "numeric",
  "correct_answer": 6.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 1/3 of 12?
Question payload
{
  "question_text": "What is 1/3 of 12?",
  "answer_type": "numeric",
  "correct_answer": 4.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 3/4 of 68?
Question payload
{
  "question_text": "What is 3/4 of 68?",
  "answer_type": "numeric",
  "correct_answer": 51.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 1/3 of 33?
Question payload
{
  "question_text": "What is 1/3 of 33?",
  "answer_type": "numeric",
  "correct_answer": 11.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 10% of 150?
Question payload
{
  "question_text": "What is 10% of 150?",
  "answer_type": "numeric",
  "correct_answer": 15.0,
  "category": "percentage_math",
  "difficulty": "easy",
  "tags": [
    "percentage",
    "percent_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 200 decreases by 25%, what is the new value?
Question payload
{
  "question_text": "If 200 decreases by 25%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 150.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_decrease"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 5% of 400?
Question payload
{
  "question_text": "What is 5% of 400?",
  "answer_type": "numeric",
  "correct_answer": 20.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 200 increases by 50%, what is the new value?
Question payload
{
  "question_text": "If 200 increases by 50%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 300.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_increase"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 150 increases by 25%, what is the new value?
Question payload
{
  "question_text": "If 150 increases by 25%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 187.5,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_increase"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 200 decreases by 5%, what is the new value?
Question payload
{
  "question_text": "If 200 decreases by 5%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 190.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_decrease"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 2/3 of 9?
Question payload
{
  "question_text": "What is 2/3 of 9?",
  "answer_type": "numeric",
  "correct_answer": 6.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 2/3 of 39?
Question payload
{
  "question_text": "What is 2/3 of 39?",
  "answer_type": "numeric",
  "correct_answer": 26.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 80 decreases by 25%, what is the new value?
Question payload
{
  "question_text": "If 80 decreases by 25%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 60.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_decrease"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 150 decreases by 10%, what is the new value?
Question payload
{
  "question_text": "If 150 decreases by 10%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 135.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_decrease"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 5% of 60?
Question payload
{
  "question_text": "What is 5% of 60?",
  "answer_type": "numeric",
  "correct_answer": 3.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 2/3 of 42?
Question payload
{
  "question_text": "What is 2/3 of 42?",
  "answer_type": "numeric",
  "correct_answer": 28.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 150 increases by 10%, what is the new value?
Question payload
{
  "question_text": "If 150 increases by 10%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 165.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_increase"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 1/2 of 40?
Question payload
{
  "question_text": "What is 1/2 of 40?",
  "answer_type": "numeric",
  "correct_answer": 20.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "fraction",
    "fraction_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 100 increases by 20%, what is the new value?
Question payload
{
  "question_text": "If 100 increases by 20%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 120.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_increase"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 120 decreases by 5%, what is the new value?
Question payload
{
  "question_text": "If 120 decreases by 5%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 114.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_decrease"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 200 increases by 10%, what is the new value?
Question payload
{
  "question_text": "If 200 increases by 10%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 220.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_increase"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 80% of 40?
Question payload
{
  "question_text": "What is 80% of 40?",
  "answer_type": "numeric",
  "correct_answer": 32.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
If 100 increases by 5%, what is the new value?
Question payload
{
  "question_text": "If 100 increases by 5%, what is the new value?",
  "answer_type": "numeric",
  "correct_answer": 105.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_increase"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}

Question
What is 15% of 200?
Question payload
{
  "question_text": "What is 15% of 200?",
  "answer_type": "numeric",
  "correct_answer": 30.0,
  "category": "percentage_math",
  "difficulty": "medium",
  "tags": [
    "percentage",
    "percent_of"
  ],
  "evaluation_criteria": {
    "exact_match": false,
    "case_sensitive": false,
    "contains": false,
    "required_fields": [],
    "tolerance": 0.01,
    "alternatives": []
  }
}