{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"80322c85-b484-5e54-96e1-702790ebbc49","task_key":"counting~5fand~5fprobability--test--80322c85-b484-5e54-96e1-702790ebbc49","task_revision_id":"1","upstream_id":"","short_description":"In how many patterns can six identical L-shaped pieces, each consisting of three…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"In how many patterns can six identical L-shaped pieces, each consisting of three unit squares, be placed to perfectly cover a fixed 3 by 6 board? One such pattern is shown.\\n\\n[asy]\\ndraw((0,0)--(6,0),linewidth(2));\\ndraw((0,3)--(6,3),linewidth(2));\\n\\ndraw((0,0)--(0,3),linewidth(2));\\ndraw((2,0)--(2,3),linewidth(2));\\ndraw((4,0)--(4,3),linewidth(2));\\ndraw((6,0)--(6,3),linewidth(2));\\n\\ndraw((0,1)--(1,1)--(1,2)--(3,2)--(3,1)--(5,1)--(5,2)--(6,2),linewidth(2));\\n[/asy]\",\"type\":\"Counting & Probability\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}