TKGS 2024 S4 Math Prelim P1_Question Paper (with Answer Key)

TANJONG KATONG GIRLS’ SCHOOL PRELIMINARY EXAMINATION SECONDARY FOUR EXPRESS CANDIDATE NAME CLASS INDEX NUMBER MATHEMATICS 4052/01 Paper 1 16 August 2024 2 hours 15 minutes Candidates answer on the Question Paper READ THESE INSTRUCTIONS FIRST Write your 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. DO NOT WRITE ON ANY BARCODES. Answer all the 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 π, use either your calculator value or 3.142. This document consists of 23 printed pages and 1 blank page. For Examiner’s use

Tanjong Katong Girls’ School 2 4052/S4Prelim/01/2024 Mathematical Formulae Compound interest Total amount = n rP      + 1001 Mensuration Curved surface area of a cone = rl Surface area of a sphere = 4 2r Volume of a cone = hr 2 3 1 Volume of a sphere = 3 3 4 r Area of triangle ABC = Cabsin2 1 Arc length = r , where  is in radians Sector area = 2 2 1 r , where  is in radians Trigonometry C c B b A a sinsinsin == Abccba cos2222 −+= Statistics Mean = f fx   Standard deviation = 22        −  f fx f fx

Tanjong Katong Girls’ School [Turn over 3 4052/S4Prelim/01/2024 Answer all the questions. 1 (a) Calculate 2 4165 75.125 11.2 ( 3) 3.142 + −  − . Write your answer correct to 2 significant figures. Answer …………….……………………. [1] (b) The number of people in a shopping mall is 1100, correct to the nearest hundred. Write down the minimum number of people there are in the mall. Answer …………….……………………. [1] 2 Simplify (a) 5 2(6 1)x−− , Answer …………….……………………. [1] (b) 1 9 3 6 27b a −   . Answer …………….……………………. [2]

Tanjong Katong Girls’ School 4 4052/S4Prelim/01/2024 3 Albert and Chris have some savings in the ratio 5 : 3. They spent $30 each from their savings and the new ratio of their savings is 2 : 1. Find the amount of savings Chris has at the start. Answer $ …………….…………………. [2] 4 (a)