Geometry
A benchmark to evaluate a model's ability to calculate area, perimeter, and volume for standard shapes: rectangles, triangles, rectangular boxes, and circles (using π ≈ 3.14159).
Questions
40
Total Runs
18
Best Score
100/100
Leaderboard
| Rank | Model | Score | Run Date | Actions |
|---|---|---|---|---|
| GPT-5 mini |
100
|
2026-02-26 01:22:13 | View Details | |
| 2 |
Qwen3 VL 8B (LMStudio)
5000 MB |
100
|
2026-02-28 18:49:39 | View Details |
| 3 | GPT-5 nano |
97
|
2026-02-26 00:53:58 | View Details |
| 4 |
Qwen3 4B (LMStudio)
2800 MB |
97
|
2026-02-28 18:15:01 | View Details |
| 5 |
Gemma 2 9B (LMStudio)
5800 MB |
95
|
2026-02-28 15:03:45 | View Details |
| 6 |
Gemma 3 12B (LMStudio)
8100 MB |
95
|
2026-02-28 15:57:56 | View Details |
| 7 |
OLMo 3 7B (LMStudio)
4300 MB |
95
|
2026-02-28 17:38:58 | View Details |
| 8 |
Llama 3 8B (LMStudio)
4900 MB |
82
|
2026-02-28 16:48:25 | View Details |
| 9 |
Ministral 8B (LMStudio)
4900 MB |
82
|
2026-02-28 17:25:13 | View Details |
| 10 |
Qwen3 1.7B (LMStudio)
1100 MB |
80
|
2026-02-28 18:06:16 | View Details |
| 11 |
Granite 3.2 8B (LMStudio)
4900 MB |
72
|
2026-02-28 16:21:16 | View Details |
| 12 |
Gemma 2 2B (LMStudio)
1500 MB |
67
|
2026-02-28 03:25:14 | View Details |
| 13 |
Llama 3.1 8B (LMStudio)
4900 MB |
60
|
2026-02-28 17:03:58 | View Details |
| 14 |
SmolLM2 1.7B (LMStudio)
1100 MB |
45
|
2026-02-28 19:20:17 | View Details |
| 15 |
Llama 3.2 1B (LMStudio)
1300 MB |
40
|
2026-02-28 17:14:00 | View Details |
| 16 |
Gemma 2B (LMStudio)
1500 MB |
30
|
2026-02-28 15:36:16 | View Details |
| 17 |
Llama 2 7B (LMStudio)
4900 MB |
20
|
2026-02-28 03:10:08 | View Details |
| 18 |
Phi-3.5 Mini (LMStudio)
2500 MB |
5
|
2026-02-28 17:51:00 | View Details |
Questions
Question
What is the area of a circle with radius 8? Use π ≈ 3.14159 and round your answer to 2 decimal places.
Question payload
{
"question_text": "What is the area of a circle with radius 8? Use π ≈ 3.14159 and round your answer to 2 decimal places.",
"answer_type": "numeric",
"correct_answer": 201.06,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"circle",
"area"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.05,
"alternatives": []
}
}
Question
What is the perimeter of a rectangle with length 10 and width 5?
Question payload
{
"question_text": "What is the perimeter of a rectangle with length 10 and width 5?",
"answer_type": "numeric",
"correct_answer": 30.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"perimeter"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the perimeter of a rectangle with length 3 and width 13?
Question payload
{
"question_text": "What is the perimeter of a rectangle with length 3 and width 13?",
"answer_type": "numeric",
"correct_answer": 32.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"perimeter"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the circumference of a circle with radius 9? Use π ≈ 3.14159 and round your answer to 2 decimal places.
Question payload
{
"question_text": "What is the circumference of a circle with radius 9? Use π ≈ 3.14159 and round your answer to 2 decimal places.",
"answer_type": "numeric",
"correct_answer": 56.55,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"circle",
"circumference"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.05,
"alternatives": []
}
}
Question
What is the circumference of a circle with radius 4? Use π ≈ 3.14159 and round your answer to 2 decimal places.
Question payload
{
"question_text": "What is the circumference of a circle with radius 4? Use π ≈ 3.14159 and round your answer to 2 decimal places.",
"answer_type": "numeric",
"correct_answer": 25.13,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"circle",
"circumference"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.05,
"alternatives": []
}
}
Question
What is the area of a rectangle with length 8 and width 8?
Question payload
{
"question_text": "What is the area of a rectangle with length 8 and width 8?",
"answer_type": "numeric",
"correct_answer": 64.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"area"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the volume of a rectangular box with length 3, width 7, and height 7?
Question payload
{
"question_text": "What is the volume of a rectangular box with length 3, width 7, and height 7?",
"answer_type": "numeric",
"correct_answer": 147.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"box",
"volume"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the volume of a rectangular box with length 9, width 3, and height 10?
Question payload
{
"question_text": "What is the volume of a rectangular box with length 9, width 3, and height 10?",
"answer_type": "numeric",
"correct_answer": 270.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"box",
"volume"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the area of a triangle with base 12 and height 8?
Question payload
{
"question_text": "What is the area of a triangle with base 12 and height 8?",
"answer_type": "numeric",
"correct_answer": 48.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"triangle",
"area"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the perimeter of a rectangle with length 19 and width 14?
Question payload
{
"question_text": "What is the perimeter of a rectangle with length 19 and width 14?",
"answer_type": "numeric",
"correct_answer": 66.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"perimeter"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the area of a rectangle with length 13 and width 5?
Question payload
{
"question_text": "What is the area of a rectangle with length 13 and width 5?",
"answer_type": "numeric",
"correct_answer": 65.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"area"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the perimeter of a rectangle with length 15 and width 8?
Question payload
{
"question_text": "What is the perimeter of a rectangle with length 15 and width 8?",
"answer_type": "numeric",
"correct_answer": 46.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"perimeter"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the perimeter of a rectangle with length 15 and width 9?
Question payload
{
"question_text": "What is the perimeter of a rectangle with length 15 and width 9?",
"answer_type": "numeric",
"correct_answer": 48.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"perimeter"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the volume of a rectangular box with length 2, width 2, and height 5?
Question payload
{
"question_text": "What is the volume of a rectangular box with length 2, width 2, and height 5?",
"answer_type": "numeric",
"correct_answer": 20.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"box",
"volume"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the perimeter of a rectangle with length 11 and width 6?
Question payload
{
"question_text": "What is the perimeter of a rectangle with length 11 and width 6?",
"answer_type": "numeric",
"correct_answer": 34.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"perimeter"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the perimeter of a rectangle with length 2 and width 9?
Question payload
{
"question_text": "What is the perimeter of a rectangle with length 2 and width 9?",
"answer_type": "numeric",
"correct_answer": 22.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"perimeter"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the area of a rectangle with length 11 and width 3?
Question payload
{
"question_text": "What is the area of a rectangle with length 11 and width 3?",
"answer_type": "numeric",
"correct_answer": 33.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"area"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the area of a circle with radius 9? Use π ≈ 3.14159 and round your answer to 2 decimal places.
Question payload
{
"question_text": "What is the area of a circle with radius 9? Use π ≈ 3.14159 and round your answer to 2 decimal places.",
"answer_type": "numeric",
"correct_answer": 254.47,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"circle",
"area"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.05,
"alternatives": []
}
}
Question
What is the circumference of a circle with radius 5? Use π ≈ 3.14159 and round your answer to 2 decimal places.
Question payload
{
"question_text": "What is the circumference of a circle with radius 5? Use π ≈ 3.14159 and round your answer to 2 decimal places.",
"answer_type": "numeric",
"correct_answer": 31.42,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"circle",
"circumference"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.05,
"alternatives": []
}
}
Question
What is the volume of a rectangular box with length 9, width 2, and height 5?
Question payload
{
"question_text": "What is the volume of a rectangular box with length 9, width 2, and height 5?",
"answer_type": "numeric",
"correct_answer": 90.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"box",
"volume"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the volume of a rectangular box with length 7, width 7, and height 8?
Question payload
{
"question_text": "What is the volume of a rectangular box with length 7, width 7, and height 8?",
"answer_type": "numeric",
"correct_answer": 392.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"box",
"volume"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the area of a triangle with base 20 and height 11?
Question payload
{
"question_text": "What is the area of a triangle with base 20 and height 11?",
"answer_type": "numeric",
"correct_answer": 110.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"triangle",
"area"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the volume of a rectangular box with length 10, width 8, and height 6?
Question payload
{
"question_text": "What is the volume of a rectangular box with length 10, width 8, and height 6?",
"answer_type": "numeric",
"correct_answer": 480.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"box",
"volume"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the area of a rectangle with length 20 and width 5?
Question payload
{
"question_text": "What is the area of a rectangle with length 20 and width 5?",
"answer_type": "numeric",
"correct_answer": 100.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"area"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the area of a rectangle with length 20 and width 3?
Question payload
{
"question_text": "What is the area of a rectangle with length 20 and width 3?",
"answer_type": "numeric",
"correct_answer": 60.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"area"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the perimeter of a rectangle with length 2 and width 17?
Question payload
{
"question_text": "What is the perimeter of a rectangle with length 2 and width 17?",
"answer_type": "numeric",
"correct_answer": 38.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"perimeter"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the volume of a rectangular box with length 2, width 4, and height 8?
Question payload
{
"question_text": "What is the volume of a rectangular box with length 2, width 4, and height 8?",
"answer_type": "numeric",
"correct_answer": 64.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"box",
"volume"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the area of a triangle with base 8 and height 18?
Question payload
{
"question_text": "What is the area of a triangle with base 8 and height 18?",
"answer_type": "numeric",
"correct_answer": 72.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"triangle",
"area"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the volume of a rectangular box with length 4, width 8, and height 5?
Question payload
{
"question_text": "What is the volume of a rectangular box with length 4, width 8, and height 5?",
"answer_type": "numeric",
"correct_answer": 160.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"box",
"volume"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the circumference of a circle with radius 4? Use π ≈ 3.14159 and round your answer to 2 decimal places.
Question payload
{
"question_text": "What is the circumference of a circle with radius 4? Use π ≈ 3.14159 and round your answer to 2 decimal places.",
"answer_type": "numeric",
"correct_answer": 25.13,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"circle",
"circumference"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.05,
"alternatives": []
}
}
Question
What is the area of a rectangle with length 17 and width 18?
Question payload
{
"question_text": "What is the area of a rectangle with length 17 and width 18?",
"answer_type": "numeric",
"correct_answer": 306.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"area"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the volume of a rectangular box with length 10, width 8, and height 7?
Question payload
{
"question_text": "What is the volume of a rectangular box with length 10, width 8, and height 7?",
"answer_type": "numeric",
"correct_answer": 560.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"box",
"volume"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the area of a triangle with base 10 and height 4?
Question payload
{
"question_text": "What is the area of a triangle with base 10 and height 4?",
"answer_type": "numeric",
"correct_answer": 20.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"triangle",
"area"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the perimeter of a rectangle with length 8 and width 18?
Question payload
{
"question_text": "What is the perimeter of a rectangle with length 8 and width 18?",
"answer_type": "numeric",
"correct_answer": 52.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"perimeter"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the circumference of a circle with radius 5? Use π ≈ 3.14159 and round your answer to 2 decimal places.
Question payload
{
"question_text": "What is the circumference of a circle with radius 5? Use π ≈ 3.14159 and round your answer to 2 decimal places.",
"answer_type": "numeric",
"correct_answer": 31.42,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"circle",
"circumference"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.05,
"alternatives": []
}
}
Question
What is the perimeter of a rectangle with length 12 and width 5?
Question payload
{
"question_text": "What is the perimeter of a rectangle with length 12 and width 5?",
"answer_type": "numeric",
"correct_answer": 34.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"perimeter"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the circumference of a circle with radius 10? Use π ≈ 3.14159 and round your answer to 2 decimal places.
Question payload
{
"question_text": "What is the circumference of a circle with radius 10? Use π ≈ 3.14159 and round your answer to 2 decimal places.",
"answer_type": "numeric",
"correct_answer": 62.83,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"circle",
"circumference"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.05,
"alternatives": []
}
}
Question
What is the circumference of a circle with radius 8? Use π ≈ 3.14159 and round your answer to 2 decimal places.
Question payload
{
"question_text": "What is the circumference of a circle with radius 8? Use π ≈ 3.14159 and round your answer to 2 decimal places.",
"answer_type": "numeric",
"correct_answer": 50.27,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"circle",
"circumference"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.05,
"alternatives": []
}
}
Question
What is the perimeter of a rectangle with length 3 and width 18?
Question payload
{
"question_text": "What is the perimeter of a rectangle with length 3 and width 18?",
"answer_type": "numeric",
"correct_answer": 42.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"rectangle",
"perimeter"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}
Question
What is the volume of a rectangular box with length 8, width 5, and height 8?
Question payload
{
"question_text": "What is the volume of a rectangular box with length 8, width 5, and height 8?",
"answer_type": "numeric",
"correct_answer": 320.0,
"category": "geometry",
"difficulty": "medium",
"tags": [
"geometry",
"box",
"volume"
],
"evaluation_criteria": {
"exact_match": true,
"case_sensitive": false,
"contains": false,
"required_fields": [],
"tolerance": 0.001,
"alternatives": []
}
}