{"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":"796e7416-d2a2-5195-b3c0-dd3e9cccfc30","task_key":"counting~5fand~5fprobability--test--796e7416-d2a2-5195-b3c0-dd3e9cccfc30","task_revision_id":"1","upstream_id":"","short_description":"Congruent segments are used to form equilateral triangles in this sequence so…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"Congruent segments are used to form equilateral triangles in this sequence so that each figure contains one more triangle than the preceding figure. Figure 3 of the sequence is made with seven congruent segments. How many congruent segments must be used to make Figure 25 of the sequence?\\n\\n[asy]\\ndraw((0,0)--(10,0)--(5,8.7)--cycle);\\ndraw((15,0)--(25,0)--(30,8.7)--(20,8.7)--cycle);\\ndraw((20,8.7)--(25,0));\\ndraw((35,0)--(55,0)--(50,8.7)--(40,8.7)--cycle);\\ndraw((40,8.7)--(45,0)--(50,8.7));\\ndraw((60,0)--(80,0)--(85,8.7)--(65,8.7)--cycle);\\ndraw((65,8.7)--(70,0)--(75,8.7)--(80,0));\\nlabel(\\\"Figure 1\\\",(2,0),S);\\nlabel(\\\"Figure 2\\\",(20,-10),S);\\nlabel(\\\"Figure 3\\\",(45,0),S);\\nlabel(\\\"Figure 4\\\",(76,-10),S);\\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":[]}