{"id":3108,"date":"2023-01-31T23:34:59","date_gmt":"2023-01-31T22:34:59","guid":{"rendered":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/?page_id=3108"},"modified":"2026-07-28T19:32:00","modified_gmt":"2026-07-28T17:32:00","slug":"problemas-de-concursos-matematicos","status":"publish","type":"page","link":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/index.php\/departamentos\/matematicas-2\/problemas-de-concursos-matematicos\/","title":{"rendered":"Problemas de Concursos Matem\u00e1ticos"},"content":{"rendered":"\n\n<div style=\"margin:0 auto;max-width:1150px;padding:5px 16px;\">\n\t\t\t<!-- Flexy Breadcrumb -->\n\t\t\t<div class=\"fbc fbc-page\">\n\n\t\t\t\t<!-- Breadcrumb wrapper -->\n\t\t\t\t<div class=\"fbc-wrap\">\n\n\t\t\t\t\t<!-- Ordered list-->\n\t\t\t\t\t<ol class=\"fbc-items\" itemscope itemtype=\"https:\/\/schema.org\/BreadcrumbList\">\n\t\t\t\t\t\t            <li itemprop=\"itemListElement\" itemscope itemtype=\"https:\/\/schema.org\/ListItem\">\n                <span itemprop=\"name\">\n                    <!-- Home Link -->\n                    <a itemprop=\"item\" href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\">\n                    \n                                                    <i class=\"fa fa fa-home\" aria-hidden=\"true\"><\/i>                    <\/a>\n                <\/span>\n                <meta itemprop=\"position\" content=\"1\" \/><!-- Meta Position-->\n             <\/li><li><span class=\"fbc-separator\">\/<\/span><\/li><li class=\"active\" itemprop=\"itemListElement\" itemscope itemtype=\"https:\/\/schema.org\/ListItem\"><span itemprop=\"name\" title=\"Tabl\u00f3n de anuncios\">Tabl\u00f3n de anuncios<\/span><meta itemprop=\"position\" content=\"2\" \/><\/li>\t\t\t\t\t<\/ol>\n\t\t\t\t\t<div class=\"clearfix\"><\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\n\n<style>\n.concursos-mates,\n.concursos-mates * {\n  box-sizing:border-box;\n}\n\n.concursos-mates {\n  width:100%;\n  max-width:1150px;\n  margin:0 auto;\n  padding:10px 0 48px;\n}\n\n.concursos-mates__hero {\n  position:relative;\n  overflow:hidden;\n  display:grid;\n  grid-template-columns:minmax(0,1fr) 280px;\n  align-items:center;\n  gap:32px;\n  min-height:285px;\n  margin:14px 0 28px;\n  padding:38px 42px;\n  color:#ffffff;\n  background:\n    radial-gradient(circle at 88% 16%,rgba(105,216,220,.20) 0,rgba(105,216,220,.06) 22%,transparent 42%),\n    linear-gradient(135deg,#102f3e 0%,#176072 55%,#081d29 100%);\n  border-radius:20px;\n  box-shadow:\n    0 14px 31px rgba(0,0,0,.23),\n    inset 0 1px 0 rgba(255,255,255,.12);\n}\n\n.concursos-mates__hero::before,\n.concursos-mates__hero::after {\n  content:\"\";\n  position:absolute;\n  border-radius:50%;\n  pointer-events:none;\n}\n\n.concursos-mates__hero::before {\n  top:-85px;\n  right:-62px;\n  width:235px;\n  height:235px;\n  border:2px solid rgba(255,255,255,.09);\n}\n\n.concursos-mates__hero::after {\n  right:145px;\n  bottom:-105px;\n  width:170px;\n  height:170px;\n  border:30px solid rgba(255,255,255,.045);\n}\n\n.concursos-mates__hero-contenido {\n  position:relative;\n  z-index:2;\n}\n\n.concursos-mates__etiqueta {\n  display:inline-flex;\n  align-items:center;\n  gap:8px;\n  margin-bottom:14px;\n  padding:7px 13px;\n  color:#102f3e;\n  background:#ffffff;\n  border-radius:999px;\n  font-size:11px;\n  line-height:1;\n  font-weight:850;\n  letter-spacing:.09em;\n  text-transform:uppercase;\n  box-shadow:0 5px 11px rgba(0,0,0,.17);\n}\n\n.concursos-mates__hero h1 {\n  margin:0 0 13px !important;\n  color:#ffffff !important;\n  font-size:clamp(2rem,4vw,3rem) !important;\n  line-height:1.08 !important;\n  font-weight:850 !important;\n}\n\n.concursos-mates__hero p {\n  max-width:720px;\n  margin:0 !important;\n  color:rgba(255,255,255,.88) !important;\n  font-size:1rem;\n  line-height:1.68;\n}\n\n.concursos-mates__trofeo {\n  position:relative;\n  z-index:2;\n  display:flex;\n  align-items:center;\n  justify-content:center;\n  justify-self:center;\n  width:150px;\n  height:150px;\n  background:\n    linear-gradient(rgba(23,96,114,.10) 1px,transparent 1px),\n    linear-gradient(90deg,rgba(23,96,114,.10) 1px,transparent 1px),\n    radial-gradient(circle at 34% 28%,#ffffff 0%,#d9eff0 49%,#8ebdc2 100%);\n  background-size:15px 15px,15px 15px,auto;\n  border:6px solid rgba(255,255,255,.88);\n  border-radius:50%;\n  font-size:67px;\n  line-height:1;\n  box-shadow:\n    0 15px 28px rgba(4,25,34,.52),\n    inset 0 1px 0 rgba(255,255,255,.44);\n  transform:rotate(3deg);\n}\n\n.concursos-mates__intro {\n  display:grid;\n  grid-template-columns:repeat(2,minmax(0,1fr));\n  gap:20px;\n  margin-bottom:26px;\n}\n\n.concursos-mates__intro-card {\n  position:relative;\n  overflow:hidden;\n  padding:23px 23px 21px;\n  background:#ffffff;\n  border:1px solid rgba(23,96,114,.17);\n  border-radius:15px;\n  box-shadow:\n    0 9px 20px rgba(0,0,0,.10),\n    0 3px 7px rgba(0,0,0,.05);\n  transition:\n    transform .3s ease,\n    box-shadow .3s ease;\n}\n\n.concursos-mates__intro-card::before {\n  content:\"\";\n  position:absolute;\n  inset:0 0 auto;\n  height:5px;\n  background:linear-gradient(90deg,#176072,#69d8dc);\n  transform:scaleX(.33);\n  transform-origin:left center;\n  transition:transform .38s ease;\n}\n\n.concursos-mates__intro-card:hover {\n  transform:translateY(-5px);\n  box-shadow:\n    0 15px 28px rgba(0,0,0,.14),\n    0 5px 10px rgba(0,0,0,.06);\n}\n\n.concursos-mates__intro-card:hover::before {\n  transform:scaleX(1);\n}\n\n.concursos-mates__intro-superior {\n  display:flex;\n  align-items:center;\n  gap:13px;\n  margin-bottom:11px;\n}\n\n.concursos-mates__intro-icono {\n  display:flex;\n  align-items:center;\n  justify-content:center;\n  flex:0 0 48px;\n  width:48px;\n  height:48px;\n  color:#ffffff;\n  background:linear-gradient(145deg,#176072,#102f3e);\n  border-radius:14px;\n  font-size:24px;\n  box-shadow:0 7px 13px rgba(16,47,62,.24);\n}\n\n.concursos-mates__intro-card h3 {\n  margin:0;\n  color:#2e2328;\n  font-size:19px;\n  line-height:1.22;\n}\n\n.concursos-mates__intro-card p {\n  margin:0;\n  color:#665f64;\n  font-size:14px;\n  line-height:1.58;\n}\n\n.concursos-coleccion {\n  margin-top:24px;\n  padding:27px 27px 29px;\n  background:#ffffff;\n  border:1px solid rgba(123,0,59,.15);\n  border-radius:17px;\n  box-shadow:\n    0 10px 23px rgba(0,0,0,.10),\n    0 3px 7px rgba(0,0,0,.04);\n}\n\n.concursos-coleccion__cabecera {\n  display:flex;\n  align-items:center;\n  justify-content:space-between;\n  gap:20px;\n  margin-bottom:22px;\n}\n\n.concursos-coleccion__titulo {\n  display:flex;\n  align-items:center;\n  gap:14px;\n}\n\n.concursos-coleccion__icono {\n  display:inline-flex;\n  align-items:center;\n  justify-content:center;\n  flex:0 0 50px;\n  width:50px;\n  height:50px;\n  color:#ffffff;\n  background:linear-gradient(145deg,#176072,#102f3e);\n  border-radius:50%;\n  font-size:25px;\n  line-height:1;\n  box-shadow:\n    0 7px 13px rgba(0,0,0,.18),\n    inset 0 1px 0 rgba(255,255,255,.18);\n}\n\n.concursos-coleccion h2 {\n  margin:0 !important;\n  color:#2e2328 !important;\n  font-size:clamp(1.28rem,2.2vw,1.62rem) !important;\n  line-height:1.22 !important;\n}\n\n.concursos-coleccion__contador {\n  display:inline-flex;\n  align-items:center;\n  padding:7px 11px;\n  color:#7b003b;\n  background:rgba(123,0,59,.08);\n  border:1px solid rgba(123,0,59,.13);\n  border-radius:999px;\n  font-size:12px;\n  font-weight:800;\n  white-space:nowrap;\n}\n\n.concursos-coleccion__grid {\n  display:grid;\n  grid-template-columns:repeat(3,minmax(0,1fr));\n  gap:15px;\n}\n\n.concursos-doc {\n  position:relative;\n  overflow:hidden;\n  display:grid;\n  grid-template-columns:48px minmax(0,1fr) auto;\n  align-items:center;\n  gap:13px;\n  min-height:104px;\n  padding:16px;\n  color:#2e2328 !important;\n  background:\n    linear-gradient(135deg,#ffffff 0%,#fbfdfe 72%,#edf5f7 100%);\n  border:1px solid rgba(23,96,114,.18);\n  border-radius:13px;\n  box-shadow:\n    0 7px 13px rgba(0,0,0,.08),\n    0 2px 5px rgba(0,0,0,.04);\n  text-decoration:none !important;\n  transition:\n    transform .28s ease,\n    box-shadow .28s ease,\n    border-color .28s ease;\n}\n\n.concursos-doc::before {\n  content:\"\";\n  position:absolute;\n  inset:0 0 auto;\n  height:4px;\n  background:linear-gradient(90deg,#176072,#69d8dc);\n  transform:scaleX(.25);\n  transform-origin:left center;\n  transition:transform .35s ease;\n}\n\n.concursos-doc:hover {\n  color:#2e2328 !important;\n  transform:translateY(-5px);\n  border-color:rgba(23,96,114,.40);\n  box-shadow:\n    0 13px 21px rgba(0,0,0,.13),\n    0 4px 8px rgba(0,0,0,.06);\n}\n\n.concursos-doc:hover::before {\n  transform:scaleX(1);\n}\n\n.concursos-doc--solucion {\n  background:\n    linear-gradient(135deg,#ffffff 0%,#fffafb 72%,#f6eaf0 100%);\n  border-color:rgba(123,0,59,.18);\n}\n\n.concursos-doc--solucion::before {\n  background:linear-gradient(90deg,#7b003b,#b72066);\n}\n\n.concursos-doc__icono {\n  display:flex;\n  align-items:center;\n  justify-content:center;\n  width:48px;\n  height:48px;\n  color:#ffffff;\n  background:linear-gradient(145deg,#176072,#102f3e);\n  border-radius:13px;\n  font-size:23px;\n  font-weight:800;\n  box-shadow:0 6px 11px rgba(16,47,62,.23);\n}\n\n.concursos-doc--solucion .concursos-doc__icono {\n  background:linear-gradient(145deg,#7b003b,#550028);\n}\n\n.concursos-doc__contenido {\n  display:flex;\n  flex-direction:column;\n  min-width:0;\n}\n\n.concursos-doc__curso {\n  margin-bottom:3px;\n  color:#7b003b;\n  font-size:11px;\n  line-height:1;\n  font-weight:850;\n  letter-spacing:.06em;\n  text-transform:uppercase;\n}\n\n.concursos-doc__titulo {\n  color:#302a2f;\n  font-size:14px;\n  line-height:1.25;\n  font-weight:750;\n}\n\n.concursos-doc__tipo {\n  margin-top:5px;\n  color:#777077;\n  font-size:11px;\n  line-height:1.2;\n}\n\n.concursos-doc__accion {\n  display:inline-flex;\n  align-items:center;\n  gap:5px;\n  padding:7px 9px;\n  color:#ffffff;\n  background:#7b003b;\n  border-radius:8px;\n  font-size:10px;\n  line-height:1;\n  font-weight:850;\n  box-shadow:0 5px 9px rgba(123,0,59,.22);\n  transition:transform .25s ease;\n}\n\n.concursos-doc:hover .concursos-doc__accion {\n  transform:translateX(3px);\n}\n\n.concursos-mates__leyenda {\n  display:flex;\n  flex-wrap:wrap;\n  gap:10px;\n  margin-top:22px;\n}\n\n.concursos-mates__leyenda-item {\n  display:inline-flex;\n  align-items:center;\n  gap:7px;\n  padding:7px 10px;\n  color:#5f595f;\n  background:#f3f3f3;\n  border:1px solid #dedede;\n  border-radius:8px;\n  font-size:12px;\n  font-weight:650;\n}\n\n.concursos-mates__punto {\n  width:10px;\n  height:10px;\n  border-radius:50%;\n  background:#176072;\n}\n\n.concursos-mates__punto--solucion {\n  background:#7b003b;\n}\n\n@media(max-width:960px) {\n  .concursos-coleccion__grid {\n    grid-template-columns:repeat(2,minmax(0,1fr));\n  }\n}\n\n@media(max-width:760px) {\n  .concursos-mates__hero {\n    grid-template-columns:minmax(0,1fr) 200px;\n  }\n\n  .concursos-mates__intro {\n    grid-template-columns:1fr;\n  }\n}\n\n@media(max-width:620px) {\n  .concursos-mates__hero {\n    grid-template-columns:1fr;\n    justify-items:center;\n    padding:30px 23px;\n    text-align:center;\n  }\n\n  .concursos-mates__trofeo {\n    width:120px;\n    height:120px;\n    font-size:55px;\n  }\n\n  .concursos-coleccion {\n    padding:23px 18px 24px;\n  }\n\n  .concursos-coleccion__cabecera {\n    align-items:flex-start;\n  }\n\n  .concursos-coleccion__grid {\n    grid-template-columns:1fr;\n  }\n}\n\n@media(max-width:430px) {\n  .concursos-coleccion__cabecera {\n    flex-direction:column;\n  }\n\n  .concursos-doc {\n    grid-template-columns:45px minmax(0,1fr);\n  }\n\n  .concursos-doc__accion {\n    grid-column:1 \/ -1;\n    justify-self:stretch;\n    justify-content:center;\n  }\n}\n\n@media(prefers-reduced-motion:reduce) {\n  .concursos-mates__intro-card,\n  .concursos-mates__intro-card::before,\n  .concursos-doc,\n  .concursos-doc::before,\n  .concursos-doc__accion {\n    transition:none !important;\n  }\n}\n<\/style>\n\n<div class=\"concursos-mates\">\n\n  <section class=\"concursos-mates__hero\">\n\n    <div class=\"concursos-mates__hero-contenido\">\n\n      <span class=\"concursos-mates__etiqueta\">\n        Departamento de Matem\u00e1ticas\n      <\/span>\n\n      <h1>Concursos Matem\u00e1ticos<\/h1>\n\n      <p>\n        Una colecci\u00f3n de problemas de distintas ediciones de la Olimpiada\n        Matem\u00e1tica y del Concurso Intercentros de la Comunidad de Madrid,\n        con enunciados y soluciones para practicar y seguir aprendiendo.\n      <\/p>\n\n    <\/div>\n\n    <div\n      class=\"concursos-mates__trofeo\"\n      aria-hidden=\"true\"\n    >\n      \ud83c\udfc6\n    <\/div>\n\n  <\/section>\n\n  <div class=\"concursos-mates__intro\">\n\n    <article class=\"concursos-mates__intro-card\">\n\n      <div class=\"concursos-mates__intro-superior\">\n\n        <span\n          class=\"concursos-mates__intro-icono\"\n          aria-hidden=\"true\"\n        >\n          \u2211\n        <\/span>\n\n        <h3>Entrena tu razonamiento<\/h3>\n\n      <\/div>\n\n      <p>\n        Los problemas de concurso plantean situaciones diferentes a las\n        habituales y ayudan a desarrollar estrategias, creatividad y\n        capacidad de argumentaci\u00f3n.\n      <\/p>\n\n    <\/article>\n\n    <article class=\"concursos-mates__intro-card\">\n\n      <div class=\"concursos-mates__intro-superior\">\n\n        <span\n          class=\"concursos-mates__intro-icono\"\n          aria-hidden=\"true\"\n        >\n          \u2713\n        <\/span>\n\n        <h3>Comprueba tus soluciones<\/h3>\n\n      <\/div>\n\n      <p>\n        Algunas ediciones incluyen tambi\u00e9n el documento de respuestas o\n        soluciones, identificado en color granate para localizarlo\n        f\u00e1cilmente.\n      <\/p>\n\n    <\/article>\n\n  <\/div>\n\n  <section class=\"concursos-coleccion\">\n\n    <header class=\"concursos-coleccion__cabecera\">\n\n      <div class=\"concursos-coleccion__titulo\">\n\n        <span\n          class=\"concursos-coleccion__icono\"\n          aria-hidden=\"true\"\n        >\n          \u03c0\n        <\/span>\n\n        <h2>Olimpiada Matem\u00e1tica<\/h2>\n\n      <\/div>\n\n      <span class=\"concursos-coleccion__contador\">\n        13 documentos\n      <\/span>\n\n    <\/header>\n\n    <div class=\"concursos-coleccion__grid\">\n      \n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2013-2014.-Fase-0.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2013-2014. Fase 0\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2013-2014<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 0<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2012-2013.-Fase-0.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2012-2013. Fase 0\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2012-2013<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 0<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2011-2012.-Fase-1.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2011-2012. Fase 1\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2011-2012<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 1<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2011-2012.-Fase-0.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2011-2012. Fase 0\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2011-2012<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 0<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2010-2011.-Fase-0.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2010-2011. Fase 0\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2010-2011<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 0<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc concursos-doc--solucion\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2010-2011.-Fase-0.-Respuestas.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2010-2011. Fase 0. Respuestas\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2713<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2010-2011<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 0<\/span>\n            <span class=\"concursos-doc__tipo\">Soluciones<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2009-2010.-Fase-0.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2009-2010. Fase 0\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2009-2010<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 0<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc concursos-doc--solucion\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2008-2009.-Fase-0.-Respuestas.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2008-2009. Fase 0. Respuestas\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2713<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2008-2009<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 0<\/span>\n            <span class=\"concursos-doc__tipo\">Soluciones<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc concursos-doc--solucion\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2009-2010.-Fase-0.-Respuestas.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2009-2010. Fase 0. Respuestas\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2713<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2009-2010<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 0<\/span>\n            <span class=\"concursos-doc__tipo\">Soluciones<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2008-2009.-Fase-0.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2008-2009. Fase 0\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2008-2009<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 0<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2006-2007.-Fase-0.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2006-2007. Fase 0\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2006-2007<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 0<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2007-2008.-Fase-0.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2007-2008. Fase 0\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2007-2008<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 0<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Olimpiada-matem\u00e1tica-2005-2006.-Fase-0.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Olimpiada matem\u00e1tica 2005-2006. Fase 0\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2005-2006<\/span>\n            <span class=\"concursos-doc__titulo\">Fase 0<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n    <\/div>\n\n  <\/section>\n\n  <section class=\"concursos-coleccion\">\n\n    <header class=\"concursos-coleccion__cabecera\">\n\n      <div class=\"concursos-coleccion__titulo\">\n\n        <span\n          class=\"concursos-coleccion__icono\"\n          aria-hidden=\"true\"\n        >\n          \ud83c\udfeb\n        <\/span>\n\n        <h2>Concurso Intercentros<\/h2>\n\n      <\/div>\n\n      <span class=\"concursos-coleccion__contador\">\n        6 documentos\n      <\/span>\n\n    <\/header>\n\n    <div class=\"concursos-coleccion__grid\">\n      \n        <a\n          class=\"concursos-doc concursos-doc--solucion\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Concurso-intercentros-2013.-Soluciones.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Concurso intercentros 2013. Soluciones\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2713<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2013<\/span>\n            <span class=\"concursos-doc__titulo\">Soluciones<\/span>\n            <span class=\"concursos-doc__tipo\">Soluciones<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Concurso-intercentros-2013.-ESO-y-Bachillerato.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Concurso intercentros 2013. ESO y Bachillerato\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2013<\/span>\n            <span class=\"concursos-doc__titulo\">ESO y Bachillerato<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc concursos-doc--solucion\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Concurso-intercentros-2012.-Soluciones.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Concurso intercentros 2012. Soluciones\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2713<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2012<\/span>\n            <span class=\"concursos-doc__titulo\">Soluciones<\/span>\n            <span class=\"concursos-doc__tipo\">Soluciones<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Concurso-intercentros-2012.-ESO-y-Bachillerato.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Concurso intercentros 2012. ESO y Bachillerato\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2012<\/span>\n            <span class=\"concursos-doc__titulo\">ESO y Bachillerato<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc concursos-doc--solucion\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Concurso-intercentros-2011.-Soluciones.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Concurso intercentros 2011. Soluciones\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2713<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2011<\/span>\n            <span class=\"concursos-doc__titulo\">Soluciones<\/span>\n            <span class=\"concursos-doc__tipo\">Soluciones<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n\n        <a\n          class=\"concursos-doc\"\n          href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/\/wp-content\/uploads\/ies.antares.rivas\/2023\/01\/Concurso-intercentros-2011.-ESO-y-Bachillerato.pdf\"\n          target=\"_blank\"\n          rel=\"noopener noreferrer\"\n          aria-label=\"Abrir Concurso intercentros 2011. ESO y Bachillerato\"\n        >\n          <span class=\"concursos-doc__icono\" aria-hidden=\"true\">\u2211<\/span>\n\n          <span class=\"concursos-doc__contenido\">\n            <span class=\"concursos-doc__curso\">2011<\/span>\n            <span class=\"concursos-doc__titulo\">ESO y Bachillerato<\/span>\n            <span class=\"concursos-doc__tipo\">Enunciado<\/span>\n          <\/span>\n\n          <span class=\"concursos-doc__accion\">\n            PDF\n            <span aria-hidden=\"true\">\u2192<\/span>\n          <\/span>\n        <\/a>\n    <\/div>\n\n  <\/section>\n\n  <div class=\"concursos-mates__leyenda\">\n\n    <span class=\"concursos-mates__leyenda-item\">\n      <span\n        class=\"concursos-mates__punto\"\n        aria-hidden=\"true\"\n      ><\/span>\n      Enunciados y pruebas\n    <\/span>\n\n    <span class=\"concursos-mates__leyenda-item\">\n      <span\n        class=\"concursos-mates__punto concursos-mates__punto--solucion\"\n        aria-hidden=\"true\"\n      ><\/span>\n      Respuestas y soluciones\n    <\/span>\n\n  <\/div>\n\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Departamento de Matem\u00e1ticas Concursos Matem\u00e1ticos Una colecci\u00f3n de problemas de distintas ediciones de la Olimpiada Matem\u00e1tica y del Concurso Intercentros de la Comunidad de Madrid, con enunciados y soluciones para &#8230;<\/p>\n","protected":false},"author":64,"featured_media":0,"parent":2015,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"folder":[233],"class_list":["post-3108","page","type-page","status-publish","hentry"],"rttpg_featured_image_url":null,"rttpg_author":{"display_name":"Cuenta Depmatematicas ies antares rivas","author_link":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/index.php\/author\/cuenta_depmatematicas-ies-antares-rivas\/"},"rttpg_comment":0,"rttpg_category":" <a href=\"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/?taxonomy=folder&#038;term=departamentos-1675012885\" rel=\"tag\">Departamentos<\/a>","rttpg_excerpt":"Departamento de Matem\u00e1ticas Concursos Matem\u00e1ticos Una colecci\u00f3n de problemas de distintas ediciones de la Olimpiada Matem\u00e1tica y del Concurso Intercentros de la Comunidad de Madrid, con enunciados y soluciones para ...","post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/index.php\/wp-json\/wp\/v2\/pages\/3108","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/index.php\/wp-json\/wp\/v2\/users\/64"}],"replies":[{"embeddable":true,"href":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/index.php\/wp-json\/wp\/v2\/comments?post=3108"}],"version-history":[{"count":10,"href":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/index.php\/wp-json\/wp\/v2\/pages\/3108\/revisions"}],"predecessor-version":[{"id":19027,"href":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/index.php\/wp-json\/wp\/v2\/pages\/3108\/revisions\/19027"}],"up":[{"embeddable":true,"href":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/index.php\/wp-json\/wp\/v2\/pages\/2015"}],"wp:attachment":[{"href":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/index.php\/wp-json\/wp\/v2\/media?parent=3108"}],"wp:term":[{"taxonomy":"folder","embeddable":true,"href":"https:\/\/site.educa.madrid.org\/ies.antares.rivas\/index.php\/wp-json\/wp\/v2\/folder?post=3108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}