{"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":"97d79761-7a01-581a-8910-861fd202aa12","task_key":"counting~5fand~5fprobability--test--97d79761-7a01-581a-8910-861fd202aa12","task_revision_id":"1","upstream_id":"","short_description":"Consider the six by six grid of unit squares below. How many rectangles of area…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"Consider the six by six grid of unit squares below. How many rectangles of area 8 square units can be formed using only the line segments of the grid as the sides of the rectangles?\\n\\n[asy]unitsize(0.2inch);\\ndraw((0,0)--(6,0)--(6,6)--(0,6)--cycle);\\ndraw((1,0)--(1,6));\\ndraw((2,0)--(2,6));\\ndraw((3,0)--(3,6));\\ndraw((4,0)--(4,6));\\ndraw((5,0)--(5,6));\\ndraw((0,1)--(6,1));\\ndraw((0,2)--(6,2));\\ndraw((0,3)--(6,3));\\ndraw((0,4)--(6,4));\\ndraw((0,5)--(6,5));\\n\\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":[]}