{"paper":{"id":"site-3280","subject":"matematyka","category":"zbiory","year":2012,"month":null,"level":null,"variant":null,"exam_pdf":null,"key_pdf":null,"question_count":8,"source_label":"Matematyka · Zbiory zadań · 2012","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-3280/zad/3284","paper_id":"site-3280","number":"3284","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2012,"month":null,"level":null,"text":"Wyrażenie ||x|+1| dla x<0 jest równe A. x+1, B. x-1, C. -x+1, D. -x-1","answer":null,"answer_text":null,"solution":null,"image":"img/site/3280/zad-3284.svg","solution_image":"img/site/3280/rozw-3284.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań · 2012","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3280/zad/3286","paper_id":"site-3280","number":"3286","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2012,"month":null,"level":null,"text":"Wielomian 4x^2-100 jest równy A. (2x-10)^2, B. (2x-10)(2x+10), C. 4(x-10)^2, D. 4(x-10)(x+10)","answer":null,"answer_text":null,"solution":null,"image":"img/site/3280/zad-3286.svg","solution_image":"img/site/3280/rozw-3286.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań · 2012","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3280/zad/3291","paper_id":"site-3280","number":"3291","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2012,"month":null,"level":null,"text":"Na rysunku przedstawiony jest wykres funkcji y=f(x). A. <-4,-3>, B. <-4,-1>u<1,3>, C. <-4,-1>u(1,3>, D. <-5,6>","answer":null,"answer_text":null,"solution":null,"image":"img/site/3280/zad-3291.svg","solution_image":"img/site/3280/rozw-3291.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań · 2012","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3280/zad/3295","paper_id":"site-3280","number":"3295","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2012,"month":null,"level":null,"text":"Dane są punkty A=(6,1) i B=(3,3). Współczynnik kierunkowy prostej AB jest równy A. -2/3, B. -3/2, C. 3/2, D. 2/3","answer":null,"answer_text":null,"solution":null,"image":"img/site/3280/zad-3295.svg","solution_image":"img/site/3280/rozw-3295.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań · 2012","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3280/zad/3297","paper_id":"site-3280","number":"3297","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2012,"month":null,"level":null,"text":"Dany jest trójkąt prostokątny o przyprostokątnych 5 i 12. Promień okręgu opisanego na tym trójkącie jest równy A. 12, B. 8,5, C. 6,5, D. 5","answer":null,"answer_text":null,"solution":null,"image":"img/site/3280/zad-3297.svg","solution_image":"img/site/3280/rozw-3297.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań · 2012","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3280/zad/3298","paper_id":"site-3280","number":"3298","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2012,"month":null,"level":null,"text":"Dane są dwa okręgi o promieniach 12 i 17. Mniejszy okrąg przechodzi przez środek większego okręgu. Odległość między środkami tych okręgów jest równa A. 5, B. 12, C. 17, D. 29","answer":null,"answer_text":null,"solution":null,"image":"img/site/3280/zad-3298.svg","solution_image":"img/site/3280/rozw-3298.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań · 2012","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3280/zad/3301","paper_id":"site-3280","number":"3301","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2012,"month":null,"level":null,"text":"Jeżeli A jest zdarzeniem losowym oraz A' jest zdarzeniem przeciwnym do zdarzenia A i P(A)=5 * P(A'), to prawdopodobieństwo zdarzenia A jest równe A. 4/5, B. 1/5, C. 1/6, D. 5/6","answer":null,"answer_text":null,"solution":null,"image":"img/site/3280/zad-3301.svg","solution_image":"img/site/3280/rozw-3301.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań · 2012","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-3280/zad/3308","paper_id":"site-3280","number":"3308","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2012,"month":null,"level":null,"text":"Tabela przedstawia wyniki uzyskane na sprawdzianie przez uczniów klasy III. Oblicz średnią arytmetyczną i kwadrat odchylenia standardowego uzyskanych ocen.","answer":null,"answer_text":null,"solution":null,"image":"img/site/3280/zad-3308.svg","solution_image":"img/site/3280/rozw-3308.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań · 2012","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}