{"id":112,"date":"2015-11-13T10:25:00","date_gmt":"2015-11-13T12:25:00","guid":{"rendered":"http:\/\/matolimpiados.mif\/matematikosolimpiados\/?page_id=112"},"modified":"2025-10-05T13:57:29","modified_gmt":"2025-10-05T10:57:29","slug":"5-8-kl-olimpiados","status":"publish","type":"page","link":"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/5-8-kl-olimpiados\/","title":{"rendered":"5-8 kl. olimpiados"},"content":{"rendered":"<p>Kartu su <i><b><a href=\"https:\/\/mif.vu.lt\/matematikos-olimpiados\/?page_id=58\">Lietuvos komandine olimpiada<\/a><\/b><\/i> ruden\u012f (paprastai rugs\u0117jo pabaigoje, \u0161e\u0161tadien\u012f) vyksta individualios <b><i>Lietuvos <\/i><\/b><strong><i>5<\/i><i><span class=\"internal-link\">\u2013<\/span><\/i><i>6<\/i><\/strong><b><i> bei <\/i><\/b><strong><i>7<\/i><i><span class=\"internal-link\">\u2013<\/span><\/i><i>8<\/i><\/strong><b><i> klasi\u0173 mokini\u0173 matematikos olimpiados<\/i><\/b><i>. <\/i>Nuo 2024 m. dalyvauti \u0161iose olimpiadose mokiniai kvie\u010diami, remiantis <a href=\"https:\/\/kengura.lt\/\">Keng\u016bros<\/a> konkurso rezultatais. U\u017eduotyse \u0161alia u\u017edavini\u0173, kur reikia pateikti sprendim\u0105, bus ir <span class=\"internal-link\">\u201ekeng\u016brini\u0173\u201c testini\u0173 u\u017edavini\u0173.<\/span><\/p>\n<p><strong>U\u017eduotys:<\/strong><\/p>\n<p><a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2025\/10\/jaun25.pdf\">2025 m.<\/a>\u00a0 \u00a0 \u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2025\/10\/jaun24.pdf\">2024 m.<\/a>\u00a0 \u00a0 \u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2023\/10\/jaun23.pdf\">2023 m.<\/a>\u00a0 \u00a0 \u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2022\/09\/jaun22.pdf\">2022 m.<\/a>\u00a0 \u00a0 \u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2019\/09\/jaun19.pdf\">2019 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2018\/09\/jaun18.pdf\">2018 m.<\/a> \u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun17.pdf\">2017 m.<\/a> \u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun16.pdf\">2016 m.<\/a> \u00a0\u00a0\u00a0\u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun15.pdf\"> 2015 m.<\/a>\u00a0\u00a0\u00a0\u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun14.pdf\"> 2014 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun13.pdf\">2013 m.<\/a> \u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun12.pdf\">2012 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun11.pdf\">2011 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun10.pdf\">2010 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun09.pdf\">2009 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun08.pdf\">2008 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun07.pdf\">2007 m.<\/a>\u00a0\u00a0\u00a0\u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun06.pdf\"> 2006 m.<\/a> \u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun05.pdf\">2005 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun04.pdf\">2004 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun03.pdf\">2003 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun02.pdf\">2002 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun01.pdf\">2001 m.<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun00.pdf\">2000 m.<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun99.pdf\">1999 m.<\/a><\/p>\n<p><strong>Rezultatai:<\/strong><\/p>\n<p><a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2025\/09\/jaun25r.pdf\">2025 m.<\/a>\u00a0 \u00a0 \u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2024\/09\/jaun24r.pdf\">2024 m.<\/a>\u00a0 \u00a0 \u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2023\/10\/jaun23r.pdf\">2023 m.<\/a>\u00a0 \u00a0 \u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2022\/09\/jaun22r.pdf\">2022 m.<\/a>\u00a0 \u00a0 \u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2019\/09\/jaun19r.pdf\">2019 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2018\/09\/jaun18r.pdf\">2018 m.<\/a> \u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun17r.pdf\">2017 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun16r.pdf\">2016 m.<\/a>\u00a0 \u00a0 \u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun15r.pdf\"> 2015 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun14r.pdf\">2014 m.<\/a> \u00a0 \u00a0\u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun13r.pdf\"> 2013 m.<\/a> \u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun12r.pdf\">2012 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun11r.pdf\">2011 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun10r.pdf\">2010 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun09r.pdf\">2009 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun08r.pdf\">2008 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun04r.pdf\">2004 m.<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2015\/11\/jaun03r.pdf\">2003 m.<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2023\/05\/jaun99r.pdf\">1999 m.<\/a><\/p>\n<p><strong>Sprendimai:<\/strong><\/p>\n<p><a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2025\/10\/jaun25s.pdf\">2025 m.<\/a>\u00a0 \u00a0 \u00a0<a href=\"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-content\/uploads\/2025\/10\/jaun24s.pdf\">2024 m.<\/a><\/p>\n<p style=\"text-align: center;\"><span class=\"internal-link\"><i>\u017diupsnis \u017eod\u017ei\u0173 apie jaunesni\u0173 klasi\u0173 konkurs\u0105 prie komandin\u0117s olimpiados<\/i><\/span><\/p>\n<p style=\"text-align: left;\"><span class=\"internal-link\"><span class=\"internal-link\"><span class=\"internal-link\"> Kaip \u017einia, 1986 metais Lietuvos matematinio \u0161vietimo padang\u0117je staiga atsirado naujas gana netik\u0117tas darinys pavadinimu <b><i><a href=\"https:\/\/mif.vu.lt\/matematikos-olimpiados\/?page_id=58\">Lietuvos komandin\u0117 mokini\u0173 matematikos olimpiada<\/a> profesoriaus Jono Kubiliaus taurei laim\u0117ti<\/i><\/b>. Toji olimpiada, atsiradusi jauno ir energingo matematiko Algirdo Zabulionio iniciatyva, esmingai prapl\u0117t\u0117 \u012fprastin\u012f olimpin\u012f matematikos koncentr\u0105, kurio branduolys buvo individualioji <b><i><a href=\"https:\/\/mif.vu.lt\/matematikos-olimpiados\/?page_id=170\">Lietuvos mokini\u0173 matematikos olimpiada<\/a><\/i><\/b>. V\u0117liau, po vis\u0173 globali\u0173 slink\u010di\u0173 ir virsm\u0173 i\u0161 \u0161ios olimpiados su \u017eymiojo Latvijos matematinio \u0161vietimo mil\u017eino profesoriaus Agnio And\u017eano palaikymu Lietuvos komandin\u0117 matematikos olimpiada virto tarptautine komandine Baltijos regiono valstybi\u0173 olimpiada tauriu pavadinimu <strong>\u201eBaltijos kelias\u201c<\/strong>. Pati lietuvi\u0161koji komandin\u0117 olimpiada Vilniaus universitete liko gyvuoti ir toliau, j\u0105 reng\u0117, ved\u0117 ir organizavo visa Lietuvos olimpin\u0117 bendruomen\u0117.<\/span><\/span><\/span><\/p>\n<p style=\"text-align: left;\"><span class=\"internal-link\"><span class=\"internal-link\"><span class=\"internal-link\">Susiklos\u010dius aplinkyb\u0117ms, ma\u017edaug nuo 1995 met\u0173 \u0161iais organizaciniais reikalais buvo pavesta u\u017esiimti man. Pra\u0117jus keliems metams atsirado noras ka\u017ekokiu b\u016bdu pad\u0117ti komandin\u0117je olimpiadoje dalyvaujan\u010dioms komandoms \u201epatreniruoti savo pamain\u0105\u201c. Jei Vilniuje ar Kaune vis tiek kas nors bent kiek matemati\u0161ko dedasi (net jeigu nieko pritrenkian\u010dio ir nevyksta), tai kur nors \u201elabiau provincijoje\u201c imti jud\u0117ti yra dar sunkiau. Taip nuo 1999 met\u0173 ir atsirado Lietuvos jaunesni\u0173j\u0173 klasi\u0173 (prad\u017eioje 5\u20137 klasi\u0173 mokini\u0173) matematikos olimpiada prie Lietuvos komandin\u0117s olimpiados. V\u0117liau ji prad\u0117ta rengti dviem am\u017eiaus grup\u0117ms: 5\u20136 ir 7\u20138 klasi\u0173 mokiniams. Nuo 2014 met\u0173 7\u20138 klasi\u0173 nugal\u0117tojas yra kvie\u010diamas dalyvauti <b><i><a href=\"https:\/\/mif.vu.lt\/matematikos-olimpiados\/?page_id=170\">LMMO<\/a> <\/i><\/b>baigiamajame ture.<\/span><\/span><\/span><\/p>\n<p style=\"text-align: left;\"><span class=\"internal-link\"><span class=\"internal-link\"><span class=\"internal-link\"> Nuo 1999 met\u0173, kai \u0161i olimpiada radosi, iki m\u016bs\u0173 dien\u0173 labai pasikeit\u0117 var\u017eyboms si\u016blom\u0173 u\u017edavini\u0173 pateikimo b\u016bdas. Jeigu pirm\u0173j\u0173 olimpiad\u0173 u\u017edavini\u0173 s\u0105lygos buvo, kaip mes gal\u0117tume pasakyti, \u012fprastin\u0117s, tai laikui b\u0117gant jos neju\u010dia ilg\u0117jo, arba, sakytume, \u201ebeletrizavosi\u201c. Tai nebuvo speciali mano, kaip olimpiados organizatoriaus ir u\u017edavini\u0173 rinkiko, u\u017ema\u010dia, o visa tai, sakytume, \u201etaip jau susiklost\u0117\u201c. Vis d\u0117lto \u0161iuo metu matematiniame \u0161vietime vis garsiau kalbama, kad vis didesn\u0119 reik\u0161m\u0119 \u012fgyja geb\u0117jimas \u201ekuo giliau\u201c perskaityti arba, kitaip sakant, \u201e\u012fsiskaityti\u201c \u012f pateikiamo u\u017edavinio s\u0105lyg\u0105. Tada tokio stiliaus u\u017edavini\u0173 pateik\u0117jas jau\u010diasi teisesnis, \u012fsivaizduoja atliekantis nauding\u0105 ir reikaling\u0105 darb\u0105.<\/span><\/span><\/span><\/p>\n<p style=\"text-align: right;\"><span class=\"internal-link\"><span class=\"internal-link\"><span class=\"internal-link\">Doc. Romualdas Ka\u0161uba<\/span><\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kartu su Lietuvos komandine olimpiada ruden\u012f (paprastai rugs\u0117jo pabaigoje, \u0161e\u0161tadien\u012f) vyksta individualios Lietuvos 5\u20136 bei 7\u20138 klasi\u0173 mokini\u0173 matematikos olimpiados. Nuo 2024 m. dalyvauti \u0161iose olimpiadose mokiniai kvie\u010diami, remiantis Keng\u016bros konkurso rezultatais. U\u017eduotyse \u0161alia u\u017edavini\u0173, kur reikia pateikti sprendim\u0105, bus ir \u201ekeng\u016brini\u0173\u201c testini\u0173 u\u017edavini\u0173. U\u017eduotys: 2025 m.\u00a0 \u00a0 \u00a02024 m.\u00a0 \u00a0 \u00a02023 m.\u00a0 \u00a0 \u00a02022 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-112","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-json\/wp\/v2\/pages\/112","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-json\/wp\/v2\/comments?post=112"}],"version-history":[{"count":18,"href":"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-json\/wp\/v2\/pages\/112\/revisions"}],"predecessor-version":[{"id":2038,"href":"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-json\/wp\/v2\/pages\/112\/revisions\/2038"}],"wp:attachment":[{"href":"https:\/\/www4352.vu.lt\/matematikos-olimpiados\/wp-json\/wp\/v2\/media?parent=112"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}