YTSS 2026 Emaths Paper 2 With Ans

NAME: ( ) CLASS: SUBJECT TEACHER: ________________________________ YISHUN TOWN SECONDARY SCHOOL PRELIMINARY EXAMINATION 2026 SECONDARY 4/5 MATHEMATICS G3 PAPER 2 (4052/02) DATE : 13 August 2026 DAY : Thursday DURATION: 2 h 15 min MARKS: 90 READ THESE INSTRUCTIONS FIRST Do not turn over the cover page until you are told to do so. Write your name, class and class index number in the spaces at the top of this page. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, 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 of the marks for this paper is 90. MARKS OBTAINED FULL 1 12 2 6 3 6 4 8 5 7 6 8 7 10 8 12 9 11 10 10 TOTAL 90 This question paper consists of 24 printed pages and 2 blank pages. G3

2 2026 YTSS Preliminary Examination Secondary 4/5 Mathematics G3 (4052/02) Mathematical Formulae Compound Interest Total amount = n rP      + 1001 Mensuration Curved surface area of a cone = rl Surface area of a sphere = 4πr2 Volume of a cone = 1 3 πr2h Volume of a sphere = 4 3 πr3 Area of a triangle ABC = ab2 1 sin C 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 == 2 2 2 2 cosa b c bc A= + − Statistics Mean =   f fx Standard deviation = 22       −     f fx f fx

3 2026 YTSS Preliminary Examination Secondary 4/5 Mathematics G3 (4052/02) [Turn over Answer all the questions. 1 (a) Solve the equation 2 71 293 x xx + =− +−− . Give your solutions correct to 2 decimal places. Answer x = …………….…… or ……..……..…….. [5]

4 2026 YTSS Preliminary Examination Secondary 4/5 Mathematics G3 (4052/02) (b) Solve the inequalities 24 9439 y y y+  +  + . Answer ……………..….………….……… [3]

5 2026 YTSS Preliminary Examination Secondary 4/5 Mathematics G3 (4052/02) [Turn over (c) Given that 14 32 zb z −=+ , (i) Find b when z = 2, Answer b = ………….……………..… [1] (ii) Rearrange the formula to make z the subject. Answer z = ………….…………………..… [3]

6 2026 YTSS Preliminary Examination Secondary 4/5 Mathematics G3 (4052/02) 2 YTSS is testing two AI systems, System A and System B, tracking their response times (in seconds) to student queries. The response times for System A are shown below: System A Stem Leaf 3 8 9 4 1 2 5 7 5 0 3 6 6 2 4 (a) (i) Find the median response time for System A. Answer ……………………… seconds [1] (ii) Find the standard deviation of the response times for System A. Answer ……………………… seconds [1] Key: 4 2 represents 42 seconds

7 2026 YTSS Preliminary Examination Secondary 4/5 Mathematics G3 (4052/02) [Turn over The following information is shown for System B: System B - Minimum = 35 - Lower Quartile = 40 - Median = 48 - Upper Quartile = 55 - Maximum = 70 (b) Construct a box-and-whisker plot for System B using the data provided. [1] (c) One student claims: “System A is more consistent, but System B is faster.” State whether you agree with this claim. Justify your answer using statistical measures. ……………………………………………………………………………… ……………………………………………………………………………… ……………………………………………………………………………… ……………………………………………………………………………… ………………………………………………………………………………. ………………………………………………………………………………. [3] 30 40 50 60 70 80

8 2026 YTSS Preliminary Examination Secondary 4/5 Mathematics G3 (4052/02) 3 A, B, C, D and F are points on a circle in the diagram above, O is the centre of the circle. Line AE meets line OC at O. The line AF cuts the line DC at P. The ratio of angle AOC to angle ABC is 4 : 3. (a) Show that the angle AFC is 72o. Give a reason for each step of your working. [2] A D E O P F C B

9 2026 YTSS Preliminary Examination Secondary 4/5 Mathematics G3 (4052/02) [Turn over (b) Find the perimeter of the major sector ADFC, given that the diameter of the circle with centre O is 11cm. Answer ……………………….. cm [2] (c) Another circle is drawn on the diagram such that line AD is its diameter. Determine whether point E lies on its circumference if 18oDAO= . Give reasons for each statement you make. Answer …………………………………………………………………. ………………………………………………………………………….. ………………………………………………………………………….. ………………………………………………………………………….. ………………………………………………………………………….. ………………………………………………………………………….. ………………………………………………………………………….. [2]

10 2026 YTSS Preliminary Examination Secondary 4/5 Mathematics G3 (4052/02) 4 Solutions to this question by accurate drawing will not be accepted. The diagram below shows 4 points, A, B, C and D. Points B and D lies on the x-axis and point C lies on the y-axis. B is the point (2, 0) and AB intersects the y-axis at 1. It is given further that BC is parallel to AD and the equation of the line AD is y – 4 – x = 0. (a) Find the equation of the line AB. Answer ………………………….. [2] x y O A B (2, 0) D C y – 4 – x = 0 1