Swiss Cottage WA2 2023.QP

1 SWISS COTTAGE SECONDARY SCHOOL SECONDARY FOUR WEIGHTED ASSESSMENT 2 O Name: ( ) Class: MATHEMATICS 4052 Wednesday 10 May 2023 45 Minutes READ THESE INSTRUCTIONS FIRST Write your class, index number and name on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Answer all the questions. If working is needed for any question it must be shown with the answer. Omission of essential working will result in loss of marks. The use of an approved scientific calculator is expected, where appropriate. If the degree of accuracy is not specified in the question and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For , use either your calculator value or 3.142, unless the question requires the answer in terms of . The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 30. This document consists of 9 printed pages. Setter: Mr Ngoh Kia Joon, Ms Leung Yan Ru, Mr Ang Hanping [Turn over Home of Thoughtful Leaders: Serve with Honour, Lead with Humility Qn Mark Concept Application Careless Student Analysis/Remarks 1 6    2 4    3 2    4 8    5 3    6 7    Total Mark 30 Parent’s Signature

2 Mathematical Formulae Compound interest Total amount = nrP    1001 Mensuration Curved surface area of a cone = lr Surface area of a sphere = 24 r Volume of a cone = hr2 3 1 Volume of a sphere = 3 3 4 r Area of triangle ABC = Cba sin2 1 Arc length = r , where  is in radians Sector area = 2 2 1r , where  is in radians Trigonometry C c B b A a sinsinsin  Acbcba cos2222  Statistics Mean =  f fx Standard deviation = 22        f fx f fx

3 1 A group of students participated in a competition to estimate the mass of a jar of marbles. The cumulative frequency diagram below shows the estimation by the students. (a) Use the graph to estimate (i) median, Answer .................................... g [1] (ii) interquartile range for the mass of the jar of marbles. Answer .................................... g [2] Cumulative frequency 0 10 20 30 40 50 60 70 80 100 200 300 400 500 600 700 Mass (grams)

4 (b) Estimate the number of students who answered that the mass of the jar of marbles is at least 500 g. Answer ....................................... [2] (c) To increase the difficulty of the competition