p-bench
Collection
10 items
•
Updated
id
stringclasses 5
values | answer
stringclasses 5
values | url
stringclasses 5
values | _index
stringclasses 5
values | question
stringclasses 5
values | solution
stringclasses 1
value | dataset
stringclasses 1
value | accessor_pass@k
dict |
|---|---|---|---|---|---|---|---|
amc23_43
|
27.0
|
https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_1
|
43
|
Cities $A$ and $B$ are $45$ miles apart. Alicia lives in $A$ and Beth lives in $B$. Alicia bikes towards $B$ at 18 miles per hour. Leaving at the same time, Beth bikes toward $A$ at 12 miles per hour. How many miles from City $A$ will they be when they meet?
|
amc23
|
{
"Llama-3.1-8B-Instruct": {
"K": 64,
"pass@K": 0.921875
}
}
|
|
amc23_45
|
45.0
|
https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_11
|
45
|
What is the degree measure of the acute angle formed by lines with slopes $2$ and $\frac{1}{3}$?
|
amc23
|
{
"Llama-3.1-8B-Instruct": {
"K": 64,
"pass@K": 0.7812500000000001
}
}
|
|
amc23_73
|
50.0
|
https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_2
|
73
|
Carlos went to a sports store to buy running shoes. Running shoes were on sale, with prices reduced by $20\%$ on every pair of shoes. Carlos also knew that he had to pay a $7.5\%$ sales tax on the discounted price. He had $$43$ dollars. What is the original (before discount) price of the most expensive shoes he could afford to buy?
|
amc23
|
{
"Llama-3.1-8B-Instruct": {
"K": 64,
"pass@K": 0.7187500000000001
}
}
|
|
amc23_76
|
194.0
|
https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_3
|
76
|
A $3-4-5$ right triangle is inscribed in circle $A$, and a $5-12-13$ right triangle is inscribed in circle $B$. Find the ratio of the area of circle $A$ to the area of circle $B$. The final answer can be written in the form $\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. What is $m+n$?
|
amc23
|
{
"Llama-3.1-8B-Instruct": {
"K": 64,
"pass@K": 0.53125
}
}
|
|
amc23_77
|
1625.0
|
https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_4
|
77
|
Jackson's paintbrush makes a narrow strip with a width of $6.5$ millimeters. Jackson has enough paint to make a strip $25$ meters long. How many square centimeters of paper could Jackson cover with paint?
|
amc23
|
{
"Llama-3.1-8B-Instruct": {
"K": 64,
"pass@K": 0.875
}
}
|