SJI 2024 Year 6 HL MAA Prelim Examination Paper 2

ST. JOSEPH’S INSTITUTION YEAR 6 PRELIMINARY EXAMINATION 2024 MATHEMATICS: ANALYSIS AND APPROACHES HIGHER LEVEL PAPER 2 Tuesday 20 August 2024 2 hours 1300 – 1500 hrs INSTRUCTIONS TO CANDIDATES • Write your session number in the boxes above. • Write your name and your teacher’s name in the spaces provided. • Do not open this examination paper until instructed to do so. • Section A: Answer all questions showing working and answers in the spaces provided in the exam paper. • Section B: Answer all questions using the writing paper provided. • The use of a scientific or examination graphical calculator is permitted in this paper. • TI-Nspire calculators must be in Press-to-Test mode and cleared of all previous data. • TI-84+ graphical calculators must only have permitted apps and be ram cleared. • A clean copy of the Mathematics: Analysis and Approaches formula booklet is required for this paper. • Unless otherwise stated in the question, all numerical answers are to be given exactly or correct to three significant figures. • The maximum mark for this examination paper is [110 marks]. • This question paper consists of 14 printed pages including the Cover Sheet. • Sections A and B are to be submitted separately. _______________________________________________________________________ FOR MARKER USE ONLY: Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 TOTAL /110 STUDENT NAME: TEACHER NAME:

Year 6 Mathematics: Analysis and Approaches HL Preliminary Examination 2024/P2 2 Full marks are not necessarily awarded for a c orrect 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 th is is shown by written working. You are advised to show all working. SECTION A (55 marks) Answer all questions in the spaces provided. 1 [Maximum mark: 6] The weights, W, of newborn babies in Singapore are normally distributed with a mean of 3.24 kg and standard deviation 375 g. A newborn baby is considered a big baby if it weighs more than w kg. 10% of newborn babies are considered big babies. (a) Find the value of w. [3] (b) A particular newborn baby is considered a big baby. Find the probability that the baby weighs at least 4 kg. [3] ……………………………………………………………………………………………. ……………………………………………………………………………………………. ……………………………………………………………………………………………. ……………………………………………………………………………………………. ……………………………………………………………………………………………. ……………………………………………………………………………………………. ……………………………………………………………………………………………. …………………………………………………………………………………………….