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It carries 80 marks over three hours, plus 15 minutes to read the paper, and has 38 compulsory questions in five sections. Section A is twenty one-mark items, eighteen multiple-choice and two assertion-reason. Sections B, C and D are very short, short and long answers of 2, 3 and 5 marks. Section E has three case studies of 4 marks each, including a carom board. Calculators are not allowed, and π is to be taken as 22/7 where it is not given. This copy has questions only.","30/4/1",80,"3 hours",38,false,[70,74,78,82,85],{"section":71,"detail":72,"marks":73},"Section A","Questions 1–18 are multiple-choice and questions 19–20 are assertion-reason, 1 mark each",20,{"section":75,"detail":76,"marks":77},"Section B","Questions 21–25, very short answers, 2 marks each; internal choice in two",10,{"section":79,"detail":80,"marks":81},"Section C","Questions 26–31, short answers, 3 marks each; internal choice in two",18,{"section":83,"detail":84,"marks":73},"Section D","Questions 32–35, long answers, 5 marks each; internal choice in two",{"section":86,"detail":87,"marks":88},"Section E","Questions 36–38, case studies, 4 marks each, with an internal choice in the 2-mark part",12,[90,91,92,93,94,95,96],"Real numbers and quadratic equations","Arithmetic progressions","Triangles and circles","Trigonometry","Probability","Coordinate geometry","Surface areas and volumes",[98,99,100,101,102,103],"If the quadratic equation 9x² + 8kx + 16 = 0 has real and equal roots, then the value of k is 3, −3, −4 or 3/2.","Verify that the roots of (p − q)x² + (q − r)x + (r − p) = 0 are equal when q + r = 2p.","D is a point on side BC of triangle ABC such that angle CAB equals angle CDA. 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