St-Anthonys-Canossian-Secondary-E-Math-Prelim-2023

BP-513 Name lndex Number ST. ANTHONY'S CANOSSIAN SECONDARY SCHOOL Preliminary Examination 2023 Secondary 4 Express MATHEMATICS Paper 1 Setter: Mdm Bey Young Keng 4052t01 22 August2023 2 hours 15 minutes Candidates answer on the Ouestion 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 conection fluid. Answer all questions. lf 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. lf the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant flgures. Give answers in degrees to one decimal place. For n, use either your calculator value or 3.142, unless the question requires the answer in tems of n. The number of marks is given in brackets I I at the end of each question or part question. The total number of marks for this paper is 90. 90 Parent's Signature: This document consists of 23 printed pages rn over F ruN

BP-516 Answer all the questions. 282.314- J5U1 1 (a) Calculate 3 '12 x 5 '97 Write down the first five digits of your answer. Answer (b) Write your answer to part (a) correct to 2 significant figures. Answer tll t1l 1 Expand and simp16, 3(5'-2)-(a-+o; . Answer t2) 3 x _z(x-2) 3 The equation 4 3 can be rewritten as Ax+B=O wherel >B. Find the value ofl and the value ofB. SACSS Prelimiuary Exam 2023 4OszlMa,$JOl/48 Answer A B:..........121

BP-517 5 4 The line graph shows the number of patients in a hospital who are diagnosed with a certain type ofblood disorder over the years. 80 70 60 Nrrrrb., of 50 patieots ,10 30 20 10 0 :018 20t& 5 t019 2019,s 3030 20?0"5 l0:l :021.5 102: Year (a) Calculate the percentage increase in the number ofpatients diagrosed with the blood disorder from 2018 to 2019. Answer % 11) (b) State and explain one aspect of the line graph that may be misleading. tll SACSS Pre liminary Exan2023 4052/Mathl0l /4F. [Tirru Over

BP- 51 8 6 s (a) Express :2 -6x-16 in the form $- P)' * q Answer (b) Hence, explain why the value of rt - 6'r - 16 carmot be -30 . tll tll 6 (a) Express 336 as a product ofits prime factors. Answer 336 - t1l t1l -2 .) -l(b) Given that l/oa=z x5 \t , (i) exprcss the smallest integer which is a multiple of 336 and 1764 as a product of its prime factors, Answer 1764n (ii) fin<l the smallest positive integer value ofn such that 336 is a perfect square- SACSS Preliminary Exam 2023 4052/MathJ0l/4E

BP-519 '/ Answer n: t1l 7 The diagram shows a plot of land IBCD with a house in one comer. (a) On the diagram, construct (i) the perpendicular bisector ofBC. (ii) the bisector of angle BAD. (b) A tree is to be planted nearer to AB thar. AD and nearer to B than C. Shade the region representing the area in which the tee can be planted. .1 t) B C tll t1l t1l I{ouse SACSS Preliminary Exun 2023 4052lMathJ0l l4E [Thru Over

BP - 520 8 8 The table below shows the number of children in 100 families living in a housing estate. Number of children 0 I 2or3 Number of families 10 25 65 The mean number of children per family is 1.82. Calculate the number of families with 2 children. Answer t3l 9 The straight line 3x + 5y = 24 cuts the r-axis and y-axis at points P and Q respectively. Calculate the len glh of PQ. SACSS Preliminary Exarn 2023 4052/Math/01/4E Answer PQ=........................... t3l

9 BP - 521 10 I .s In the diagram, P, p, R, S and 7n are points on the circle. Angle PTQ= 35' and angle 75P : 139' . (a) Find angle ZPrR. Give a reason for each step of your working. (b) Explain why TP ard RQ re not parallel. Answer Angle TPR : ................. [] I2l 8x -121, l1 Simpliff 2x2 -ry-3Y' t3l SACSS Preliminary Exam 2023 4052tMath/O1/48 Answer [Turn Over

BP -522 t2 10 x ln the diagmm, XYZ is an isosceles tri angle with XY - XZ. The side .lZ is produced to Q snch that XZ - ZQ. The side ZIis produced to P suchthat ZY= YP. (a) Name a pair of congruent kiangles. Answer Tiarl.gle.........and triangle O) Show that the two triangles in (a) are congruent. P tll t2) SACSS Prelirninary Exarlr 2023 4052/Mat]r./01/48

BP - 523 ll 13 (a) The speed of lighl 15 3 x 108 -r.. Express 3'l0t as tmillion. Answer million [] (b) The relationship between the wavelength aod frequency of a wave is given by c = v'x f where c is the speed of light, 3x 108 -t ,lry is the wavelenglh in metres and/ is the frequency in Hertz (llz). (i) The wavelength of a photon particle is observed to be 500 nanometres. [ 1 nanometre: l0-e metres ] Express 500 nanometres in metres, leaving your answer in standard form. Answer metres [1] (ii) Calculate the frequency of the photon particle, [saving yeur answer in standard form. Answer Hz [] SACSS Preliminary Exarr:, 2023 4052lMath/01/48 lTirra Over

BP-524 t2 t4 L' t) E C ln the diagram, a regular hexagon ABCDEF and a regular pentagon EFGIll are joined together at the side EF. DEl is a staight line. Calculate angle ./E/. Answer Al,gle JEI : ................... t31 SACSS Preliminary Exut 2O23 40s2/Math/01/48