Mathematics — previous courses · 2014 · November · Paper 2 · HL · Question paper

N14/5/MATHL/HP2/ENG/TZ0/XX MATHEMATICS HIGHER LEVEL PAPER 2 INSTRUCTIONS TO CANDIDATES  Write your session number in the boxes above.  Do not open this examination paper until instructed to do so.  A graphic display calculator is required for this paper.  Section A: answer all questions in the boxes provided.  Section B: answer all questions in the answer booklet provided. Fill in your session number on the front of the answer booklet, and attach it to this examination paper and your cover sheet using the tag provided.  Unless otherwise stated in the question, all numerical answers should be given exactly or correct to three significant figures.  A clean copy of the Mathematics HL and Further Mathematics HL formula booklet is required for this paper.  The maximum mark for this examination paper is [120 marks]. 16 pages [Personal identifier removed] 8 8 1 4 – 7 2 0 2 Thursday 13 November 2014 (morning) 2 hours © International Baccalaureate Organization 2014 16EP01 88147202 – 2 – N14/5/MA THL/HP2/ENG/TZ0/XX 16EP02 Full marks are not necessarily awarded for a correct answer with no working. Answers must be supported by working and/or explanations. In particular, solutions found from a graphic display calculator should be supported by suitable working, for example, if graphs are used to find a solution, you should sketch these as part of your answer. Where an answer is incorrect, some marks may be given for a correct method, provided this is shown by written working. You are therefore advised to show all working. SECTION A Answer all questions in the boxes provided. Working may be continued below the lines if necessary. 1. [Maximum mark: 6] Consider the two planes π1 42 8: xy z+− = π 2 33 3: xy z++ = . Find the angle between π1 and π2 , giving your answer correct to the nearest degree. ........................................................................... ........................................................................... ........................................................................... ...........................................................................