[{"question":"Ur\u010dte obsah S obd\u00cd\u017enika ABCD, ktor\u00e9ho d\u00ed\u017eka a=84 cm a jeho uhloprie\u010dka je o 72 cm dlh\u0161ia ako jeho \u0161\u00edrka.","answers":["192 m 2<\/SUP>","19200 m 2<\/SUP>","19 m 2<\/SUP>","1092 m 2<\/SUP>"],"correct":"19 m 2<\/SUP>","order":"1"},{"question":"Vypo\u010d\u00edtajte d\u00cd\u017eku t tetivy v kru\u017enici k(S;5,5 cm), ak vzdialenos\u0165 stredu S od tetivy t je v=2,3 cm.","answers":["t=10 cm","t=11 cm","t=12 cm","t=100 cm"],"correct":"t=10 cm","order":"2"},{"question":"Z\u00e1hradu tvaru pravouhl\u00e9ho trojuholn\u00edka oplotili pletivom dlh\u00fdm 364 cm. Najkrat\u0161ia strana meria 26 m. Vypo\u010d\u00edtajte rozlohu z\u00e1hrady.","answers":["218000 m 2<\/SUP>","2184 m 2<\/SUP>","1000 m 2<\/SUP>","1184 m 2<\/SUP>"],"correct":"2184 m 2<\/SUP>","order":"3"},{"question":"V pravouhlom trojuholn\u00edku ABC je dan\u00e1 odvesna a=14 cm a polomer vp\u00edsanej kru\u017enice \u03f1=5 cm. Vypo\u010d\u00edtajte ostatn\u00e9 d\u00cd\u017eky str\u00e1n b,c.","answers":["b=22,5cm;c=26,5 cm","b=2cm;c=26,5 cm","b=22,5cm;c=5 cm","b=225cm;c=265 cm"],"correct":"b=22,5cm;c=26,5 cm","order":"4"},{"question":"Vypo\u010d\u00edtajte d\u00cd\u017eku t tetivy v kru\u017enici k(S;5 cm), ak vzdialenos\u0165 stredu S od tetivy t je v=2,5 cm.","answers":["t=10 cm","t=100 cm","t=8,6 cm","t=86 cm"],"correct":"t=8,6 cm","order":"5"},{"question":"Vypo\u010d\u00edtajte d\u00cd\u017eku t tetivy v kru\u017enici k(S;10 cm), ak vzdialenos\u0165 stredu S od tetivy t je v=6 cm.","answers":["t=19 cm","t=9 cm","t=8 cm","t=16 cm"],"correct":"t=16 cm","order":"6"},{"question":"Profil n\u00e1sypu \u017eelezni\u010dnej trate je rovnoramenn\u00fd lichobe\u017en\u00edk ABCD. AB\u2225CD,|AB|=16,4 m,|CD|=10,6 m,|AD|=|BC|=5,2 m. Vypo\u010d\u00edtajte v\u00fd\u0161ku n\u00e1sypu.","answers":["22 m","4,3 m","14 m","43 m"],"correct":"4,3 m","order":"7"},{"question":"Obd\u00ed\u017enik ABCD m\u00e1 strany AB, CD v pomere 3:4. Obd\u00ed\u017eniku ABCD je op\u00edsan\u00e1 kru\u017enica k s priemerom 10 cm. Vypo\u010d\u00edtajte d\u00ed\u017eky str\u00e1n obd\u00cd\u017enika.","answers":["5 cm, 5cm","6 cm, 7 cm","10 cm, 2 cm","6 cm, 8cm"],"correct":"6 cm, 8cm","order":"8"},{"question":"Rez \u017eelezni\u010dn\u00fdm n\u00e1sypom je rovnoramenn\u00fd lichobe\u017en\u00edk, ktor\u00e9ho z\u00e1kladne s\u00fa v pomere 5:3. Ramen\u00e1 maj\u00fa d\u00ed\u017eku 5m, v\u00fd\u0161ka n\u00e1sypu v=4,8 m. Vypo\u010d\u00edtajte ve\u013ekos\u0165 rezu S.","answers":["22 m 2<\/SUP>","26,88 m 2<\/SUP>","28,66 m 2<\/SUP>","188 m 2<\/SUP>"],"correct":"26,88 m 2<\/SUP>","order":"9"},{"question":"Ur\u010dte obsah S pravouhl\u00e9ho lichobe\u017en\u00edka ABCD (a=|AB|=66 cm;c=|CD|=18 cm), ak jeho kos\u00e9 rameno je o 36 cm dlh\u0161ie ako rameno kolm\u00e9 na z\u00e1kladne a,c.","answers":["500 m 2<\/SUP>","588 m 2<\/SUP>","1200 m 2<\/SUP>","688 m 2<\/SUP>"],"correct":"588 m 2<\/SUP>","order":"10"}]