[{"question":"Vypo\u010d\u00edtajte obsah koso\u0161tvorca, ak d\u013a\u017eka jeho strany je 4,3 cm a polomer vp\u00edsanej kru\u017enice je 1,2 cm.","answers":["5.16","10.32","10.23","5.61"],"correct":"10.32","order":"1"},{"question":"Vypo\u010d\u00edtajte polomer kru\u017enice, ktorej d\u013a\u017eka je o 7 cm v\u00e4\u010d\u0161ia ako obvod \u0161es\u0165uholn\u00edka, ktor\u00fd je do tejto kru\u017enice vp\u00edsan\u00fd.","answers":["1.3","13","2.5","25"],"correct":"25","order":"2"},{"question":"Ur\u010dite obsah obd\u013a\u017enika, ktor\u00e9ho d\u013a\u017eka a= 84 cm, ak jeho uhloprie\u010dka m\u00e1 d\u013a\u017eku o 72 cm v\u00e4\u010d\u0161iu ako jeho \u0161\u00edrka.","answers":["1092","1029","1902","1209"],"correct":"1092","order":"3"},{"question":"Vypo\u010d\u00edtajte polomer kru\u017enice vp\u00edsanej (r) a op\u00edsanej (R) \u0161tvorcu, ktor\u00e9ho obsah je 64 cm2<\/sup>.","answers":["r = 5 cm, R = 4,6 cm","r = 4 cm, R = 5,6 cm","r = 4 cm, R = 6,5 cm","r = 5 cm, R = 5,4 cm"],"correct":"r = 4 cm, R = 5,6 cm","order":"4"},{"question":"Rovnoramenn\u00fd trojuholn\u00edk m\u00e1 a = 10 cm, b=c=13 cm. Do trojuholn\u00edka je vp\u00edsan\u00e1 kru\u017enica. Zistite ko\u013eko percent z obsahu trojuholn\u00edkatvor\u00ed obsah kruhu.","answers":["0%","1%","1%","0.35%"],"correct":"1%","order":"5"},{"question":"Vypo\u010d\u00edtajte ve\u013ekos\u0165 kruhov\u00e9ho odseku ur\u010den\u00e9ho kru\u017enicou s polomerom 5 cm, tetivou dlhou 8 cm a stredov\u00fdm uhlom 106\u00b0.","answers":["11.1","23.1","12","12.2"],"correct":"11.1","order":"6"},{"question":"Pre odvesny pravouhl\u00e9ho trojuholn\u00edka plat\u00ed a : b = 2 : 3. Prepona m\u00e1 d\u013a\u017eku 10 cm. Vypo\u010d\u00edtajte obvod a obsah trojuholn\u00edka.","answers":["O = 23 cm, S=23,9 cm2<\/sup>","O = 32,9 cm, S=32 cm2<\/sup>","O = 23,9 cm, S=23 cm2<\/sup>","O = 32 cm, S=32,9 cm2<\/sup>"],"correct":"O = 23,9 cm, S=23 cm2<\/sup>","order":"7"},{"question":"V\u00fd\u0161ka a z\u00e1kladne lichobe\u017en\u00edka s\u00fa v pomere 2 : 3 : 5, jeho obsah je 512 cm2<\/sup>. Vypo\u010d\u00edtajte jeho v\u00fd\u0161ku a d\u013a\u017eky oboch z\u00e1kladn\u00ed.","answers":["16 cm, 24 cm, 40 cm","15 cm, 23 cm, 40 cm","16 cm, 23 cm, 43 cm","8 cm, 16 cm, 32 cm"],"correct":"16 cm, 24 cm, 40 cm","order":"8"},{"question":"Okolo kruhov\u00e9ho z\u00e1hona je cesti\u010dka 40 cm \u0161irok\u00e1. Z\u00e1hon m\u00e1 priemer 3,2 m. Vypo\u010d\u00edtajte obsah cesti\u010dky.","answers":["4,5261 cm2<\/sup>","4,2516 cm2<\/sup>","4,5126 cm2<\/sup>","4,5216 cm2<\/sup>"],"correct":"4,5216 cm2<\/sup>","order":"9"},{"question":"Ak\u00fd je rozdiel obsahov lichobe\u017en\u00edkov, ktor\u00e9 z\u00edskame z dan\u00e9ho lichobe\u017en\u00edka rozdelen\u00edm strednou prie\u010dkou?","answers":["v(a-c) \/ 8","v(a-c) \/ 4","(3a-3c)v \/ 8","(3a-3c)v \/ 4"],"correct":"v(a-c) \/ 4","order":"10"}]