2023 CCHY 4NA Prelim EM P1 Sol

* © CCHY 2023 [Turn_over 2023 Preliminary Examination Secondary Four Normal Academic CANDIDATE NAME MARKING SCHEME CLASS INDEX NUMBER MATHEMATICS 4045/01 Paper 1 27 July 2023 2 hours Candidates answer on the Question Paper. No Additional Materials are required. READ THESE INSTRUCTIONS FIRST Write your name, class and index number on 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 paper clips, glue or correction fluid. Answer all the questions. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. The use of an approved scientific calculator is expected, where appropriate. You are reminded of the need for clear presentation in your answers. Up to 2 marks may be deducted for improper presentation. The number of marks is given in brackets [ ] at the end of each question or part question. Question Number Marks Possible Marks Obtained Question Number Marks Possible Marks Obtained 1 2 11 3 2 3 12 3 3 2 13 3 4 5 14 3 5 4 15 3 6 3 16 1 7 6 17 3 8 5 18 4 9 3 19 6 10 4 20 4 Presentation Deduction – 1 / – 2 TOTAL 70 This document consists of 15 printed pages and 1 blank page. CHUNG CHENG HIGH SCHOOL (YISHUN)

2 © CCHY 2023 [Turn_over Mathematical Formulae Compound Interest Total amount 1 100 n rP=+  Measurement Curved surface area of a cone πrl= 2Surface area of a sphere 4 πr= 21Volume of a cone 3 πr h= 34Volume of a sphere 3 πr= 1Area of triangle sin 2ABC ab C= , where is in radiansArc length r= 2 , where is in radians1Sector area 2 r = Trigonometry sin sin sin a b c A B C== 2 2 2 2 cos Aa c bcb += − Statistics Mean fx f=  22 Standard deviation fx fx ff  =−   

3 © CCHY 2023 [Turn_over Answer all the questions. 1 7 2 330% 2  0.325 12 15 Write these numbers in descending order. Answer: 7 2 , 330% , 2  , 12 15 , 0.325 [2] 2 (i) Solve 4 6 21x− − − and represent your answer on a number line. Answer: 4 6 21x− − − [2] 4 21 6x− − + 4 15x− − 15 4x − − 33 4x (ii) Hence, find the smallest integer that satisfies 4 6 21x− − − . Answer: ……………………………………… [1] 3 (a) Sarah mixes 0.4 kg of flour with 250 g of butter. Write the ratio of butter : flour in its simplest form. 250 : 400 5 : 8 Answer: ………………… : …………………… [1] 0 3 4 4 5 8

4 © CCHY 2023 [Turn_over (b) A bag contains only blue and pink bean bags. 3 11 of the bean bags are pink. Write the ratio pink bean bags : blue bean bags in its simplest form.