{"id":128,"date":"2024-04-23T15:10:01","date_gmt":"2024-04-23T15:10:01","guid":{"rendered":"https:\/\/www.pitagorasek.pl\/?page_id=128"},"modified":"2025-04-23T15:01:10","modified_gmt":"2025-04-23T15:01:10","slug":"final-2024-zadania","status":"publish","type":"page","link":"https:\/\/www.pitagorasek.pl\/index.php\/final-2024-zadania\/","title":{"rendered":"FINA\u0141 2025 ZADANIA"},"content":{"rendered":"\n<p><strong>Zadania fina\u0142owe&nbsp; &#8211;&nbsp; 23 kwietnia 2025<\/strong><\/p>\n\n\n\n<p><strong>&nbsp;<\/strong><\/p>\n\n\n\n<h1 class=\"wp-block-heading\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/h1>\n\n\n\n<p><strong>1. <a>Podczas wakacji Zuzia i Emilka zarobi\u0142y w sumie 250z\u0142. Gdyby pierwsza z&nbsp;nich zarobi\u0142a o 30z\u0142 wi\u0119cej, a druga o 30z\u0142 mniej, to wynagrodzenie Zuzi by\u0142oby o 110z\u0142 wy\u017csze od zarobku Emilki. Ile podczas wakacji zarobi\u0142a Zuzia, a&nbsp;ile Emilka?<\/a><\/strong><\/p>\n\n\n\n<p><em><br>Rozwi\u0105zanie:<\/em><\/p>\n\n\n\n<p><em>Odpowied\u017a:&nbsp;&nbsp; &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;<\/em><\/p>\n\n\n\n<p><strong>2. <\/strong><a><strong>Ojciec ma 45 lat, a jego dzieci 7 lat, 9 lat, i 3 lata. Za ile lat wiek ojca b\u0119dzie r\u00f3wny sumie lat jego dzieci? Ile lat b\u0119dzie mia\u0142 wtedy ojciec, a ile jego dzieci?<\/strong><\/a><\/p>\n\n\n\n<p><em>Rozwi\u0105zanie:<\/em><strong><\/strong><\/p>\n\n\n\n<p><em>&nbsp;Odpowied\u017a:&nbsp; &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;<\/em><\/p>\n\n\n\n<p><strong>3. <a>Dzi\u015b rano o 9.55 Wojtek zacz\u0105\u0142 malowa\u0107 dom. Pomalowanie jednego pokoju zajmuje mu 46 minut. Do pomalowania s\u0105 4 pokoje. Wojtek zrobi\u0142 sobie 35 minutow\u0105 przerw\u0119 na herbat\u0119. O kt\u00f3rej godzinie sko\u0144czy malowa\u0107 te cztery pokoje? <\/a>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<p><em>Rozwi\u0105zanie:<\/em><\/p>\n\n\n\n<p><em>Odpowied\u017a:&nbsp;&nbsp; &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;<\/em><\/p>\n\n\n\n<p><strong>4. <\/strong><strong>Na ogrodzenie trawnika w kszta\u0142cie tr\u00f3jk\u0105ta potrzeba 73m p\u0142otka. Oblicz d\u0142ugo\u015b\u0107 poszczeg\u00f3lnych bok\u00f3w trawnika, wiedz\u0105c, \u017ce drugi bok jest 3 razy d\u0142u\u017cszy od pierwszego, a trzeci o 13m d\u0142u\u017cszy od pierwszego. <\/strong><strong><\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><br>Rozwi\u0105zanie:<\/h2>\n\n\n\n<p><em>Odpowied\u017a:&nbsp;&nbsp; &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..<\/em><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><\/td><td><\/td><td><\/td><td><\/td><\/tr><tr><td><\/td><td colspan=\"3\"><img loading=\"lazy\" decoding=\"async\" width=\"741\" height=\"2\" src=\"\"><\/td><\/tr><tr><td><\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><em>&nbsp;<\/em><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Zadania fina\u0142owe&nbsp; &#8211;&nbsp; 23 kwietnia 2025 &nbsp; \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1. Podczas wakacji Zuzia i Emilka zarobi\u0142y w sumie 250z\u0142. Gdyby pierwsza z&nbsp;nich zarobi\u0142a o 30z\u0142 wi\u0119cej, a druga o 30z\u0142 mniej, to wynagrodzenie Zuzi by\u0142oby o 110z\u0142 wy\u017csze od zarobku Emilki. Ile podczas wakacji zarobi\u0142a Zuzia, a&nbsp;ile Emilka? Rozwi\u0105zanie: Odpowied\u017a:&nbsp;&nbsp; &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; 2. Ojciec ma 45 lat, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-128","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.pitagorasek.pl\/index.php\/wp-json\/wp\/v2\/pages\/128","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.pitagorasek.pl\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.pitagorasek.pl\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.pitagorasek.pl\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.pitagorasek.pl\/index.php\/wp-json\/wp\/v2\/comments?post=128"}],"version-history":[{"count":3,"href":"https:\/\/www.pitagorasek.pl\/index.php\/wp-json\/wp\/v2\/pages\/128\/revisions"}],"predecessor-version":[{"id":172,"href":"https:\/\/www.pitagorasek.pl\/index.php\/wp-json\/wp\/v2\/pages\/128\/revisions\/172"}],"wp:attachment":[{"href":"https:\/\/www.pitagorasek.pl\/index.php\/wp-json\/wp\/v2\/media?parent=128"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}