[{"question":"Gu\u013ea je vp\u00edsan\u00e1 do ku\u017ee\u013ea, prienik ich hran\u00edc je zlo\u017een\u00fd z kru\u017enice a 1 bodu. Pomer povrchu gule a obsahu podstavy ku\u017ee\u013ea je 4:3. Rovina prech\u00e1dzaj\u00faca osou ku\u017ee\u013ea re\u017ee ku\u017ee\u013e v rovnoramennom trojuholn\u00edku. Uhol oproti z\u00e1kladni tohto trojuholn\u00edka je ve\u013ek\u00fd","answers":["60\u00b0","55\u00b0","30\u00b0","45\u00b0"],"correct":"60\u00b0","order":"1"},{"question":"Konvexn\u00e1 \u0161o\u0161ovka je prienikom dvoch g\u00fa\u013e s polomermi r1 = 1,3 cm a r2 = 14 mm. Vzdialenos\u0165 stredov g\u00fa\u013e je 2 cm. Objem konvexnej \u0161o\u0161ovky je","answers":["947, 4 cm\u00b3","947,4 mm\u00b3","479 cm\u00b3","479 mm\u00b3"],"correct":"947,4 mm\u00b3","order":"2"},{"question":"Konvexn\u00e1 \u0161o\u0161ovka je prienikom dvoch g\u00fa\u013e s polomermi r1 = 13 cm a r2 = 14 cm. Vzdialenos\u0165 stredov g\u00fa\u013e je 2 dm. Povrch konvexnej \u0161o\u0161ovky je","answers":["297 cm\u00b2","795 cm\u00b2","592,7 cm\u00b2","295,7 cm\u00b2"],"correct":"592,7 cm\u00b2","order":"3"},{"question":"Vzorcom S = \u03c0(r1)\u00b2 + \u03c0(r2)\u00b2 + 2\u03c0rv vypo\u010d\u00edtame","answers":["povrch gulov\u00e9ho p\u00e1su","objem gulov\u00e9ho p\u00e1su","objem gulovej vrstvy","povrch gulovej vrstvy"],"correct":"povrch gulovej vrstvy","order":"4"},{"question":"Vzorcom V = 1\/6 \u03c0v (3(r1)\u00b2 + 3(r2)\u00b2 + v\u00b2) vypo\u010d\u00edtame","answers":["povrch gulov\u00e9ho p\u00e1su","objem gule","objem gulovej vrstvy","povrch gulovej vrstvy"],"correct":"objem gulovej vrstvy","order":"5"},{"question":"Aby sme videli tis\u00edcinu zemsk\u00e9ho povrchu, museli by sme vyletie\u0165 do v\u00fd\u0161ky pribli\u017ene","answers":["12 700 m","127 km","1270 m","127000 m"],"correct":"12 700 m","order":"6"},{"question":"Vonkaj\u0161\u00ed priemer kovovej dutej gule je 1 m, hustota materi\u00e1lu, z ktor\u00e9ho je zhotoven\u00e1 je 7,8g\/cm3. Do vody sa ponor\u00ed svojou polovicou. Hr\u00fabka steny kovovej gule je pribli\u017ene","answers":["10, 9 cm","1,09 cm","2,18 cm","0,6 cm"],"correct":"1,09 cm","order":"7"},{"question":"Pribli\u017ene ko\u013eko km\u00b2 zaber\u00e1 pol\u00e1rne p\u00e1smo na Severnej pologuly, ktor\u00e9 sa rozprestiera medzi 66,5\u00b0 s.\u0161. a 90\u00b0 s.\u0161.?","answers":["21,12 . 10 (na) 6","131,5 . 10 (na)6","26,39 . 10 (na)7","212,48 . 10(na)6"],"correct":"21,12 . 10 (na) 6","order":"8"},{"question":"Na ko\u013ek\u00fdch km\u00b2 sa na Zemi rozprestiera mierne p\u00e1smo (medzi 23,5\u00b0 s.\u0161. a 66,5\u00b0 s.\u0161. a medzi 66,5\u00b0 j.\u0161. a 23,5\u00b0 j.\u0161.)? Na (pribli\u017ene)","answers":["21, 12 . 10 (na) 6","131,5 . 10 (na)6","26,39 . 10 (na)7","26,39 . 10 (na)9"],"correct":"26,39 . 10 (na)7","order":"9"},{"question":"Ak polomer gule zmen\u0161\u00edme 2-kr\u00e1t, jej povrch sa zmen\u0161\u00ed","answers":["2 kr\u00e1t","8 kr\u00e1t","16 kr\u00e1t","4 kr\u00e1t"],"correct":"4 kr\u00e1t","order":"10"}]