Slovné úlohy, v ktorých sa vyskytuje kvadratická nerovnica
[{"question":"S\u00fa\u010det druh\u00fdch mocn\u00edn dvoch prirodzen\u00fdch \u010d\u00edsiel id\u00facich za sebou je 1201. Ktor\u00e9 prirodzen\u00e9 \u010d\u00edsla to s\u00fa?","answers":["24 a 25","23 a 24","22 a 23","21 a 22"],"correct":"24 a 25","order":"1"},{"question":"Dru\u017estvo m\u00e1 osia\u0165 200 ha pozemkov. Ak obrobia denne o 5 ha viac ne\u017e je v pl\u00e1ne, skon\u010dia s osievan\u00edm o 2 dni sk\u00f4r. Kedy teda dokon\u010dia sejbu?","answers":["10 dn\u00ed","9 dn\u00ed","11dn\u00ed","8 dn\u00ed"],"correct":"8 dn\u00ed","order":"2"},{"question":"Jeden robotn\u00edk zhotov\u00fd s\u00fa\u010diastku o 4 hod., druh\u00fd o 9 hod. sk\u00f4r ako by ju zhotovili spolo\u010dne. Ko\u013eko to bude trva\u0165 ka\u017ed\u00e9mu robotn\u00edkovi samotne?","answers":["11 hod a 15 hod","12 hod a 15 hod","10 hod a 15 hod","10 hod a 14 hod"],"correct":"10 hod a 15 hod","order":"3"},{"question":"Za jablk\u00e1 sa zaplatilo 210\u20ac za hru\u0161ky 156\u20ac. Jablk\u00e1 s\u00fa o 1\u20ac\/1kg drah\u0161ie a nak\u00fapilo sa ich o 3kg viac. Ko\u013eko kg jab\u013ak a hru\u0161iek sa nak\u00fapilo?","answers":["16 alebo 42 za jablka, 12 alebo 39 za hrusky","15 alebo 42 za jablka, 12 alebo 39 za hrusky","15 alebo 42 za jablka, 1 alebo 39 za hrusky","15 alebo 42 za jablka, 12 alebo 48 za hrusky"],"correct":"15 alebo 42 za jablka, 12 alebo 39 za hrusky","order":"4"},{"question":"Pravouhl\u00fd trojuholn\u00edk m\u00e1 d\u013a\u017eky odvesien v pomere 5:12 a prepona je dlh\u00e1 26m. Ak\u00e9 dlh\u00e9 s\u00fa odvesny?","answers":["5 a 24 cm","10 a 24 cm","10 a 12 cm","5 a 12 cm"],"correct":"10 a 24 cm","order":"5"},{"question":"Obvod obd\u013a\u017enika je 28cm, jeho uhloprie\u010dka je 10cm dlh\u00e1. Ak\u00e9 s\u00fa rozmery obd\u013a\u017enika?","answers":["8 a 6 cm","4 a 6 cm","2 a 4 cm","1 a 2 cm"],"correct":"8 a 6 cm","order":"6"},{"question":"Obsah obd\u013a\u017enika je 6084 a jeho d\u013a\u017eka je o 65 dlh\u0161ia ne\u017e jeho \u0161\u00edrka. Ak\u00e9 s\u00fa jeho rozmery?","answers":["20 a 10 cm","65 a 23 cm","100 a 50 cm","117 a 52 cm"],"correct":"117 a 52 cm","order":"7"},{"question":"Ly\u017eiar pre\u0161iel 36km za \u010das o pol hodinu krat\u0161\u00ed ako druh\u00fd ly\u017eiar, pri\u010dom jeho r\u00fdchlos\u0165 bola o 1km\/h v\u00e4\u010d\u0161ia ne\u017e toho druh\u00e9ho. Ak\u00e1 je ich r\u00fdchlos\u0165?","answers":["9 a 10 km\/h","10 a 11 km\/h","11 a 12 km\/h","9 a 8 km\/h"],"correct":"9 a 8 km\/h","order":"8"},{"question":"Plavec prepl\u00e1val v rieke 480m po pr\u00fade aj proti pr\u00fadu za 12min a 30sek\u00fand. R\u00fdchlos\u0165 plavca je 80m\/min. Ak\u00e1 je r\u00fdchlos\u0165 pr\u00fadu?","answers":["12 m\/min","14 m\/min","16 m\/min","18 m\/min"],"correct":"16 m\/min","order":"9"},{"question":"\u0160\u00edrka obd\u013a\u017enika je 78% jeho d\u013a\u017eky. Jeho obsah je 48. Ak\u00e9 s\u00fa jeho rozmery?","answers":["(20*\u221a26)\/13 a ( 6*\u221a26)\/5","2 a 5","4 a 10","8 a 20"],"correct":"(20*\u221a26)\/13 a ( 6*\u221a26)\/5","order":"10"}]