2024 FMSS EMATH P1 PRELIM QP

NAME: ____________________________ ( ) CLASS: _______ FAIRFIELD METHODIST SCHOOL (SECONDARY) PRELIMINARY EXAMINATION 2024 SECONDARY 4 EXPRESS / 5 NORMAL (ACADEMIC) MATHEMATICS 4052/01 Paper 1 Date: 19 August 2024 Duration: 2 hours 15 minutes Candidates answer on the Question Paper. 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 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 , use either your calculator value or 3.142. For Examiner’s Use Table of Penalties Question Number Presentation  1  2 Rounding off  1 Parent’s/Guardian’s Signature Setter: Mr Alester Tan This question paper consists of 23 printed pages  90

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express / 5 Normal (Academic) Preliminary Examination 2024 2 Mathematics Paper 1 Mathematical Formulae Compound interest Total amount = P n r       1001 Mensuration Curved surface area of a cone = rl Surface area of a sphere = 24 r Volume of a cone = hr 2 3 1  Volume of a sphere = 3 3 4 r Area of a triangle ABC = Cab sin2 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

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express / 5 Normal (Academic) Preliminary Examination 2024 3 Mathematics Paper 1 Answer all the questions. 1 Given that : 16 3 : 20p  , find the value of p. Answer p =…………………………………… [1] 2 (a) Factorise completely 22 2a c ad abc bd   . Answer … …………………………………… [2] (b) Expand and simplify   7 4 3x y x y  . Answer ……………………………………… [2] 3 Tristen has written five positive integers. The median of these numbers is 8, the mode is 7 and the mean is 13. The range of these numbers is 21. Find the five numbers. Answer …….…… …….…… …….…… …….…… …….…… [2]

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express / 5 Normal (Academic) Preliminary Examination 2024 4 Mathematics Paper 1 4 In the diagram, ABC is a triangle. D is the point on AC such that ABC ADB  . (a) Show that triangles ABC and ADB are similar. Answer ………... ………………………………………………………………………………… ...……………………………………………………………………………… ……. ...[2] (b) Given that AB = 8 m and AD = 5 m, find AC. Answer ………………………………… m [1] A B C D

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express / 5 Normal (Academic) Preliminary Examination 2024 5 Mathematics Paper 1 5 The graph shows the number of electric vehicles (EVs) manufactured by a company for the years 2022 and 2023. Explain how the graph above may be misleading. Answer ………………………………………………………………………………………… …… . ...…………………………………………………………………………………… ……. [1] 6 A map has a scale of 1 : 2 000 000. The area of Johor Bahru on the map is 0.55 cm2. Calculate the actual area, in square kilometres of Johor Bahru. Answer …………………………………km 2 [2] 60 Number of EVs (thousands) Year 2022 2023 50

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express / 5 Normal (Academic) Preliminary Examination 2024 6 Mathematics Paper 1 7 In a sequence, the same number is added each time to obtain the next term. The second term of the sequence is 11 and the fifth term of the sequence is 32. (a) Write an expression in terms of n, for the nth term of the sequence. Answer …………………………………… [1] (b) Explain why 121 is not a term in the sequence. Answer …… ……………………………………………………………………………………… ...……………………………………………………………………………… ........... [1] 8 The force, F, between two particles is inversely proportional to the square of the distance, d, between them. Calculate the percentage change in force when the distance between the two particles is increased by 350%. Answer ………………………………… % [2]

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express / 5 Normal (Academic) Preliminary Examination 2024 7 Mathematics Paper 1 9 (a) The sketch represents the graph of ny x . Write down a possible value of n. Answer n = ………………………………. [1] (b) The point (1, 1) is marked on each diagram below. On these diagrams, sketch the graphs of (i) 2 1y x  , Answer [1] (ii) 2 2y x . Answer [1] y x . 0 y x 1 1 . 0 y x 1 1 0

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express / 5 Normal (Academic) Preliminary Examination 2024 8 Mathematics Paper 1 10 The diagram shows a parallelogram ABCD. The perpendicular height is h cm. The area of parallelogram is increased by 150% when AB is reduced by 20% and h is increased by x %. Find the value of x. Answer x = ……………………………… [ 2] 11 The frequency table shows the Mathematics quiz marks of 25 students. The mean marks is 13.8. Marks 12 13 14 15 16 Number of students 5 5 7 6 2 (a) Find the standard deviation of the marks. Answer ….. ……………………………… [ 2] (b) It was discovered that there was a mistake in the recording of the quiz marks. The correct mark for each student was 3 more than the recorded mark. A student commented that the spread of the quiz marks in the class is now wider after the addition of marks. Explain why his comment is wrong using mean and standard deviation of the marks. Answer ……………………………………………………………………………………… ...………………………………………………………………………… ……... [1] A B C D h

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express / 5 Normal (Academic) Preliminary Examination 2024 9 Mathematics Paper 1 12 Three points A, B and C are shown below. (a) Construct the perpendicular bisector of BC. [1] (b) Construct the angle bisector of angle ACB. [1] (c) These two bisectors meet at P. Complete the statement below. Answer The point P is equidistant from the lines ………………… and ………………… and equidistant from the points ………………… and ………………… . [1] A B C

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express / 5 Normal (Academic) Preliminary Examination 2024 10 Mathematics Paper 1 13 (a) Use prime factors to explain why 54 150 is a perfect square. Answer ………………………………………………………………………………………… … ...…………………………………………………………………………………… ... [