North Vista 4E EM Prelim P1 2024 QP

[Turn over NORTH VISTA SECONDARY SCHOOL Preliminary Examination 2024 Secondary 4 Express/ 5 Normal Academic CANDIDATE NAME CLASS _________________________________________________________________________ MATHEMATICS 4052/01 Paper 1 19 August 2024 2 hours 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, class and index number 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. The number of marks is given in brackets [ ] at the end of each question or part question. 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 total of the marks for this paper is 90. 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. This document consists of 20 printed pages. INDEX NUMBER For Examiner’s Use Category Question No. Accuracy Brackets Fractions Units Others Marks Deducted 90

2 Mathematical Formulae Compound Interest Total amount = 1 100 nrP+ Mensuration Curved surface area of a cone = πrl Surface area of a sphere = 24 r Volume of a cone = 21 π3 rh Volume of a sphere = 34 π3 r Area of triangle ABC = Cabsin2 1 Arc length = rθ, where θ is in radians Sector area = 21 2 r  , where θ is in radians Trigonometry C c B b A a sinsinsin == 2 2 2 2 cosa b c bc A= + − Statistics Mean =   f fx Standard deviation = 22fx fx ff −  

3 [Turn over Answer all the questions. 1 Calculate 3 13.5 14.04 0.31 15.625 + −+ , giving your answer correct to one significant figure. Answer ……………………………... [1] 2 Alex buys a shirt at a price of £14.75. Paul buys a shirt at a price of $21.99. The exchange rate is $1 = £0.73. Calculate how much more Paul pays than Alex. Answer …...…….……………………... [2] 3 (a) Simplify 3 4 25(3 5 ) . Give your answer in the form 35ab . Answer …...…….……………………... [1] (b) 100 972 4 2 2 k−  = Use laws of indices to find the value of k. Show your working. Answer k = …………..………………... [2]

4 4 (a) A number p has exactly 12 factors. Two of the factors are 4 and 15. Find the value of p. Answer p = …………………………... [1]