Manjusri 4045 01 PRELIM 2024 QP

This document consists of 18 printed pages and 2 blank pages [Turn over MANJUSRI SECONDARY SCHOOL 2024 PRELIMINARY EXAMINATION Name Class Index Number MATHEMATICS Secondary Four Normal (Academic) / NT SBB Paper 1 Candidates answer on the Question Paper. 4045/01 1 August 2024 2 hours READ THESE INSTRUCTIONS FIRST Write your Name, index number and class 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 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 π, use either your calculator value or 3.142, unless the question requires the answer in terms of π. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 70. Parent’s / Guardian’s Signature: …………………….. For Examiner’s Use Total / 70

2 4045/01/PRELIM/2024 Mathematical Formulae Compound Interest Total amount = n rP      + 1001 Mensuration Curved surface area of a cone = πrl Surface area of a sphere = 4πr 2 Volume of a cone = 3 1πr2h Volume of a sphere = 3 4πr3 Area of triangle ABC = 2 1 ab sin C Arc length = rθ, where θ is in radians Sector area = 2 1 r2θ, where θ is in radians Trigonometry C c B b A a sin sin sin= = a2 = b2 + c2 – 2bc cos A Statistics Mean = ∑ ∑ f fx Standard deviation = 22       − ∑ ∑ ∑ ∑ f fx f fx

3 4045/01/PRELIM/2024 [Turn over Answer all the questions. 1 Write the following numbers in order of length, starting with the largest. 48 1000 , 48, 4 48 10 , 48 × 104 Answer ………………….… , ………..…...…..…… , ………….......…… , ….…….…….…… [2] largest 2 By rounding each number to 1 significant figure, estimate the value of 0.87 547 0.498 × Show your working. Answer …………………………... [2] 3 Find the largest integer x satisfying the inequality 5 36x−> . Answer x =…………………… [2]

4 4045/01/PRELIM/2024 4 Draw an enlargement of this trapezium using a scale factor of 1.5 . [2] 5 The first five terms of a sequence are 9, 16, 23 and 30. (a) Write down the next two terms in the sequence.