ACSI 2020 Promo Paper 2

FINAL EXAMINATION 2020 YEAR 5 IB DIPLOMA PROGRAMME MATHEMATICS HIGHER LEVEL PAPER 2 FRIDAY 25 SEP 2020 2 hours _________________________________________________________________________ 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. Answers must be written within the answer boxes provided. • Section B: answer all questions on the writing paper provided. Fill in your session number on each answer sheet, and attach them to this examination paper using the string provided. • Unless otherwise stated in the question, all numerical answers must be given exactly or correct to three significant figures. • A clean copy of the Mathematics Analysis and Approaches formula booklet is required for this paper. • The maximum mark for this examination paper is [110 marks] • Questions with an asterisk (*) are common to both HL and SL papers This question paper consists of 14 printed pages including this cover page. Section A (55 Marks) Section B (55 Marks) Question Marks Question Marks 1 10 2 3 4 11 5 6 7 12 8 9 Subtotal Subtotal TOTAL / 110 Candidate Session Number 0 0 2 3 2 9

ACS (Independent) / Mathematics Department / Mathematics HL / Year 5 / 2020 Final Examination / Paper 2 2 Full marks are not necessarily awarded for a correct answer with no working. Answers must be supported by working and/or explanations. 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. Answers must be written within the answer boxes provided. Working may be continued below the lines, if necessary. 1. [Maximum mark: 4] Solve the simultaneous equations 3 24 8 log log 3 xy xy = +=

ACS (Independent) / Mathematics Department / Mathematics HL / Year 5 / 2020 Final Examination / Paper 2 3 2. *[Maximum mark: 3] Prove that the product of two odd numbers is odd.

ACS (Independent) / Mathematics Department / Mathematics HL / Year 5 / 2020 Final Examination / Paper 2 4 3. *[Maximum mark: 9] It is speculated that there is an association between the height of a student, x centimetres and the time taken, y seconds, to do a 100 m sprint. The following paired data are collected.. (a) Find the Pearson’s product moment correlation coefficient between the height and the time taken. Comment on your answer. [3]