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{ | |
"test": { | |
"title": "podzim2018", | |
"slug": "podzim2018", | |
"description": "Maturitní test z podzimu 2018.", | |
"successfulLimit": 44, | |
"tasks": [ | |
{ | |
"slug": "podzim2018u01", | |
"title": "podzim2018u01", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u01.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u02", | |
"title": "podzim2018u02", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u02.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u03", | |
"title": "podzim2018u03", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u03.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u04", | |
"title": "podzim2018u04", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u04.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u05", | |
"title": "podzim2018u05", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u05.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u06", | |
"title": "podzim2018u06", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u06.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u07", | |
"title": "podzim2018u07", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u07.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u08", | |
"title": "podzim2018u08", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u08.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u09", | |
"title": "podzim2018u09", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u09.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u10", | |
"title": "podzim2018u10", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u10.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u11", | |
"title": "podzim2018u11", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u11.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u12", | |
"title": "podzim2018u12", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u13.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u13", | |
"title": "podzim2018u13", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u13.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u14", | |
"title": "podzim2018u14", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u14.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u15", | |
"title": "podzim2018u15", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u15.png&&", | |
"maxPoints": 0, | |
"type": "temp" | |
}, | |
{ | |
"slug": "podzim2018u16", | |
"title": "podzim2018u16", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u16.png&&", | |
"question": | |
"Rozhodněte o každém z následujích tvrzení, je-li pravdivé (Ano), či nikoli (Ne).", | |
"maxPoints": 2, | |
"type": "yes-no", | |
"options": [ | |
{ | |
"name": "opt1", | |
"problem": | |
"Petr prodával řetězci každý týden o 20% méně vajec než Marek" | |
}, | |
{ | |
"name": "opt2", | |
"problem": | |
"Petr prodával řetězci každý týden o 500 vajec méně než Marek." | |
}, | |
{ | |
"name": "opt3", | |
"problem": | |
"Marek s Petrem prodávali řetězci dohromady 5500 vajec týdně." | |
}, | |
{ | |
"name": "opt4", | |
"problem": | |
"Za 13 letních týdnů prodal Marek řetězci o 20% více vajec než Petr." | |
} | |
], | |
"correctAnswer": [ | |
{ "name": "opt1", "correct": true }, | |
{ "name": "opt2", "correct": true }, | |
{ "name": "opt3", "correct": true }, | |
{ "name": "opt4", "correct": false } | |
] | |
}, | |
{ | |
"slug": "podzim2018u17", | |
"title": "podzim2018u17", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u17.png&&", | |
"question": | |
"Jaký je obsah obrazce? Výsledek je zaokrouhlen na celé ##cm^2##", | |
"maxPoints": 2, | |
"type": "options", | |
"options": [ | |
{ "name": "opt1", "problem": "##21~cm^2##" }, | |
{ "name": "opt2", "problem": "##24~cm^2##" }, | |
{ "name": "opt3", "problem": "##27~cm^2##" }, | |
{ "name": "opt4", "problem": "##28~cm^2##" }, | |
{ "name": "opt5", "problem": "##30~cm^2##" } | |
], | |
"correctAnswer": ["opt4"] | |
}, | |
{ | |
"slug": "podzim2018u18", | |
"title": "podzim2018u18", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u18.png&&", | |
"question": "Jaká je výška ##h## nejvyšší stěny chalupy?", | |
"maxPoints": 2, | |
"type": "options", | |
"options": [ | |
{ "name": "opt1", "problem": "menší než 3,5 m" }, | |
{ "name": "opt2", "problem": "3,5 m" }, | |
{ "name": "opt3", "problem": "3,6 m" }, | |
{ "name": "opt4", "problem": "větší než 3,7 m" } | |
], | |
"correctAnswer": ["opt1"], | |
"solutions": [{}] | |
}, | |
{ | |
"slug": "podzim2018u19", | |
"title": "podzim2018u19", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u19.png&&", | |
"question": "Jakou část objemu druhé nádoby voda zaplní?", | |
"maxPoints": 2, | |
"type": "options", | |
"options": [ | |
{ "name": "opt1", "problem": "##\\large{3 \\over 4}##" }, | |
{ "name": "opt2", "problem": "##\\large{2 \\over 3}##" }, | |
{ "name": "opt3", "problem": "##\\large{2 \\over 9}##" }, | |
{ "name": "opt4", "problem": "##\\large{1 \\over 5}##" }, | |
{ | |
"name": "opt5", | |
"problem": | |
"Voda přeteče, objem druhé nádoby je menší než objem první nádoby." | |
} | |
], | |
"correctAnswer": ["opt1"], | |
"solutions": [{}] | |
}, | |
{ | |
"slug": "podzim2018u20", | |
"title": "podzim2018u20", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u20.png&&", | |
"question": "Jaký je objem kvádru?", | |
"maxPoints": 2, | |
"type": "options", | |
"options": [ | |
{ "name": "opt1", "problem": "##27~cm^3##" }, | |
{ "name": "opt2", "problem": "##27 \\sqrt{2}~cm^3##" }, | |
{ "name": "opt3", "problem": "##27 \\sqrt{3}~cm^3##" }, | |
{ "name": "opt4", "problem": "##54~cm^3##" }, | |
{ "name": "opt5", "problem": "jiný objem" } | |
], | |
"correctAnswer": ["opt4"], | |
"solutions": [{}] | |
}, | |
{ | |
"slug": "podzim2018u21", | |
"title": "podzim2018u21", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u21.png&&", | |
"question": | |
"Jaká je odchylka přímek ##p,~q##? Výsledek je zaokrouhlen na celé minuty.", | |
"maxPoints": 2, | |
"type": "options", | |
"options": [ | |
{ "name": "opt1", "problem": "36°52'" }, | |
{ "name": "opt2", "problem": "37°45'" }, | |
{ "name": "opt3", "problem": "38°40'" }, | |
{ "name": "opt4", "problem": "39°20'" }, | |
{ "name": "opt5", "problem": "větší než 40°" } | |
], | |
"correctAnswer": ["opt3"], | |
"solutions": [{}] | |
}, | |
{ | |
"slug": "podzim2018u22", | |
"title": "podzim2018u22", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u22.png&&", | |
"question": | |
"Do kterého intervalu patří diference této posloupnosti?", | |
"maxPoints": 2, | |
"type": "options", | |
"options": [ | |
{ | |
"name": "opt1", | |
"problem": "##\\langle -1,5;~-0,5 \\rangle##" | |
}, | |
{ | |
"name": "opt2", | |
"problem": "##( -0,5;~0,5 \\rangle##" | |
}, | |
{ | |
"name": "opt3", | |
"problem": "##( 0,5;~1,5 \\rangle##" | |
}, | |
{ | |
"name": "opt4", | |
"problem": "##\\langle 1,5;~2,5 \\rangle##" | |
}, | |
{ | |
"name": "opt5", | |
"problem": "Taková posloupnost neexistuje." | |
} | |
], | |
"correctAnswer": ["opt3"], | |
"solutions": [{}] | |
}, | |
{ | |
"slug": "podzim2018u23", | |
"title": "podzim2018u23", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u23.png&&", | |
"question": | |
"Jaká je pravděpodobnost, že ani jeden z těchto 4 darovaných losů nevyhraje? Výsledek je zaokrouhlen na setiny.", | |
"maxPoints": 2, | |
"type": "options", | |
"options": [ | |
{ "name": "opt1", "problem": "0,16" }, | |
{ "name": "opt2", "problem": "0,18" }, | |
{ "name": "opt3", "problem": "0,20" }, | |
{ "name": "opt4", "problem": "0,25" }, | |
{ "name": "opt5", "problem": "0,33" } | |
], | |
"correctAnswer": ["opt2"], | |
"solutions": [{}] | |
}, | |
{ | |
"slug": "podzim2018u24", | |
"title": "podzim2018u24", | |
"taskText": | |
"&&\\images\\tasks\\podzim2018\\podzim2018u24.png&&", | |
"question": "Jaký je předpis funkce ##f##?", | |
"maxPoints": 2, | |
"type": "options", | |
"options": [ | |
{ | |
"name": "opt1", | |
"problem": "##y=\\large{{-2} \\over x}##" | |
}, | |
{ | |
"name": "opt2", | |
"problem": "##y=\\large{2 \\over {x-2}}##" | |
}, | |
{ | |
"name": "opt3", | |
"problem": "##y=\\large{{x-2} \\over {x+2}}##" | |
}, | |
{ | |
"name": "opt4", | |
"problem": "##y=\\large{{x-2} \\over {-x+2}}##" | |
}, | |
{ | |
"name": "opt5", | |
"problem": "##y=\\large{{x-2} \\over x}##" | |
} | |
], | |
"correctAnswer": ["opt5"], | |
"solutions": [{}] | |
}, | |
{ | |
"slug": "podzim2018u25", | |
"title": "podzim2018u25", | |
"taskText": | |
"Ke každé z následujících funkcí (1-4) s definičním oborem R přiřaďte obor hodnot (A-F) dané funkce.", | |
"question": "", | |
"maxPoints": 4, | |
"partPoints": [0, 1, 2, 3, 4], | |
"type": "pairs", | |
"options": [ | |
{ | |
"name": "opt1", | |
"problem": "##y=(x-3)^2##", | |
"part": "opt" | |
}, | |
{ | |
"name": "opt2", | |
"problem": "##y=3+{x}^2##", | |
"part": "opt" | |
}, | |
{ | |
"name": "opt3", | |
"problem": "##y=x-3##", | |
"part": "opt" | |
}, | |
{ | |
"name": "opt4", | |
"problem": "##y=3##", | |
"part": "opt" | |
}, | |
{ | |
"name": "ans1", | |
"problem": "##\\mathbb{R}##", | |
"part": "ans" | |
}, | |
{ | |
"name": "ans2", | |
"problem": "##(-\\infty ;0\\rangle##", | |
"part": "ans" | |
}, | |
{ | |
"name": "ans3", | |
"problem": "##(-\\infty ;3\\rangle##", | |
"part": "ans" | |
}, | |
{ | |
"name": "ans4", | |
"problem": "##\\langle 0;+ \\infty )##", | |
"part": "ans" | |
}, | |
{ | |
"name": "ans5", | |
"problem": "##\\langle 3;+\\infty)##", | |
"part": "ans" | |
}, | |
{ | |
"name": "ans6", | |
"problem": "##\\{3 \\}##", | |
"part": "ans" | |
} | |
], | |
"correctAnswer": [ | |
{ "name": "opt1", "correct": "ans4" }, | |
{ "name": "opt2", "correct": "ans5" }, | |
{ "name": "opt3", "correct": "ans1" }, | |
{ "name": "opt4", "correct": "ans6" } | |
], | |
"solutions": [{}] | |
}, | |
{ | |
"slug": "podzim2018u26", | |
"title": "podzim2018u26", | |
"taskText": | |
"Ke každé nerovnici (1-3) řešené v oboru R přiřaďte odpovídající množinu všech řešení (A-E).", | |
"question": "", | |
"maxPoints": 3, | |
"partPoints": [0, 1, 2, 3], | |
"type": "pairs", | |
"options": [ | |
{ | |
"name": "opt1", | |
"problem": "##x^{2} \\leq 0 ##", | |
"part": "opt" | |
}, | |
{ | |
"name": "opt2", | |
"problem": "##-2x \\leq 4 - 2 \\cdot 2##", | |
"part": "opt" | |
}, | |
{ | |
"name": "opt3", | |
"problem": | |
"##\\large{{2x^{2}-4x}\\over {(x-2) \\cdot x}} \\leq 0 ##", | |
"part": "opt" | |
}, | |
{ | |
"name": "ans1", | |
"problem": "##\\emptyset##", | |
"part": "ans" | |
}, | |
{ "name": "ans2", "problem": "##\\{0\\}##", "part": "ans" }, | |
{ | |
"name": "ans3", | |
"problem": "##\\langle 0; +\\infty )##", | |
"part": "ans" | |
}, | |
{ | |
"name": "ans4", | |
"problem": "##(-\\infty ; 0 \\rangle##", | |
"part": "ans" | |
}, | |
{ | |
"name": "ans5", | |
"problem": "jiná množina", | |
"part": "ans" | |
} | |
], | |
"correctAnswer": [ | |
{ "name": "opt1", "correct": "ans2" }, | |
{ "name": "opt2", "correct": "ans3" }, | |
{ "name": "opt3", "correct": "ans1" } | |
], | |
"solutions": [{}] | |
} | |
] | |
} | |
} |
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