Section A Name : ( ) Class : 50. BsseBSSCESSCESSCBSSCBSSEBSSCBSSCRSSCRSSCRSSCESSCBSSCESSCBESCBSsCESSCESSCHSSCBESCESSCES Cedar Girls’ Secondary School End-of-Year Examination 2006 CESSCRSSCESSCR SSC ESSCESSCRSSCESSCERSSCBSSCBSSCESSCESSCESSOBSSCRSSCESSCESSCRSSCESSCESSCES Subject g Mathematics Paper Bi Section A Level g Secondary One Duration 8 1 hour Date : 5 October 2006 INSTRUCTIONS TO CANDIDATES All questions in Section A must be attempted. Answers to Section A are to be written in the SPACES provided in the question booklet. The use of calculators is not allowed in the computation of answers in Section A. All calculators must be placed on the floor. ‘Working must be shown clearly in ink, Omission of essential working will result in loss of marks, Section A will be collected after 1 hour. You can begin to work on Section B before the end of 1 hour provided that the calculator is not used. Pee wEal Additional Materials: Nit This section consists of 9 printed pages www.misskoh.comFor Examiticr's use Cedar Girls" Secondory Schoo} Endf.fear Examination 2008 Secondary I Mathematics Section A [50 marks] ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER 1 Express 0.385 (a) as.adecimal, correct to 2 significant figures, (b) asa fraction in its lowest terms Answer (a) Oo () a) 2 Consider the following numbers 1 0, 2, * 4, V2, 66. Write down (a) the integers, (b) the irrational numbers. Answer (a) 9 ) a For Examiner’ www.misskoh.comFor Examiner's use Cedar Grts' Secondary Shoot End-o- Year Examination 2006. Sonor athanas 3. Find the value of f) (2-3)+(-)’, ) = 28 Fe 6 ul Answer (a) o @ Q] 4 (a) Given that3 :x=5: 8, find the value of x, (b) The number of red marbles to yellow marbles is 5 - 6 and the number of red marbles to blue marbles is 7 : 8, Find the ratio of the number of yellow marbles to blue marbles. Answer (a) 0 (2) For www.misskoh.com(Cedar Gurl” Secondary School Ende ear Gentnton 206 Secon | Mathoatis For vas ori ; For ‘Examiner's S (a) Express 3969 as a product of its prime factors and give your answer in index {Examiner's me notation. ‘se (b) Hence or otherwise, find the square root of 441 Answer (a) : Ry e — 6 Using the result 20.4% 12,5 = 255, find the exact value of (@) 408x125, (b) 2554375, Answer (a) _ 2] o ; (2) www.misskoh.comFor Examiner's Cedar Girls’ Secondary Schoo! Endof Tear Beamination 2005, ae 7 Simplify (a) 3a(2a—1)— 2a(2~ 4a), 69" (b) 4 Answer (a) _ @ () 2] 8 Express the following as a single fraction in its simplest form 304 = 5 O he (b) Answer (a) 2] ® 2] For Examiner" www.misskoh.caomFor Examiner's use Cedar Girl” Socondary School Stes Broan Sh Sandy tenes 9 (a) Solve the equation 2**6 429, (b) Given that @=3, 6=1, ¢=-1, find the value of gue) =) b a+b Answer (a) 2 ® Ry 10 A survey was conducted on a class of 40 pupils to find out their favourite colour. (a) How many pupils chose pink as their favourite colour? (b) Later in the year, 3 pupils joined the class and they said their favourite colour is pink. What is the percentage increase in the number of pupils who chose pink as their favourite colour? Answer (a) 0) 2] For lexaminer’s www.misskoh.comCCeaar Ges’ Secondary Shoot En-of Year Examination 2008, Seen 1 Mathomar For ; ster ., | 1H Inan n-sided polygon, three of the interior angles are 120° each and the other For Examiner's exterior angles are 20° each, Find Ene (a) the value of m, (b) the sum of the interior angles of this polygon. Answer (a) f21 @ == [2] 12 In the given figure, ABCD is a thombus of side 12 om and it has an area of 132 cm’, Given that EAB is a straight line, find in terms of x (@) ZEAD, (b) ZACD ‘The rhombus contains a shaded triangle. (©) Find the area of the shaded triangle. < Answer (a) ZEAD= ol (b) ZACD= Rj © Q) www.misskoh.comCedars Secondary Shoot Endo Yor Exoinaton 2008 Secondary 1sathomatie Exaiter's | 13 Town Wonderful and Town Beautiful are 500 km apart. At 10 am, Car A set off ae te from Town Wonderful for Town Beautiful at 60 km/h and Car B set off from . use ‘Town Beautiful for Town Wonderful at 90 km/h, Given that they travelled on the same road, at what time did both cars meet? Answer - a) www.misskoh.comFor Examiner's Cedar Girls” Sacondary School End.f-Yeor Bxomination 2008 Secondary I Mathematics 14 A series of diagrams of shaded and unshaded small triangles is shown below. Find (a) the number of small shaded triangles in Diagram 4, (b) the number of small shaded triangles in Diagram n oe Diagram! Diagram 2 Diagram 3 Answer (a) o 12] End of Section A For Examiner’ use www.misskoh.camCRSSCRSSCRSSCBSSCHSS CBSSCBSSCRSSCRSSCHSSCR SSCUSSCgSSCPSSORSSCESSCBSSCBSSCESSCESSCESS Cedar Girls’ Secondary School End-of-Year Examination 2006 , CBSSCESSCRSSCBSSCHSSCB SSCESSCESSCESSCESSCHSSCRSSCUSSOBSSCESSCBSSRSSCESSCRSSCESSCOSS Subject g Mathematics Paper 8 Section B Level 8 Secondary One Duration : 1 hour 15 minutes Date : 5 October 2006 INSTRUCTIONS TO CANDIDATE: All questions must be attempted. Answers are to be written in the writing paper provided. The use of calculators is allowed in the computation of answers, Working must be shown clearly in ink. Omission of essential working will result in loss of marks. The intended marks for the question or parts of the question are given in brackets [ | If the degree of accuracy is not specified in the question, and if the answer is not exact, the answers should be given to 3 significant figures. Answers in degrees should be given to 1 decimal place. 7. Attach the cover page provided to the top of your answer scripts of Section B. Oo Rene Additional Materi 1. 4 sheets of writing paper 2, 4 sheet of plain paper 3. 2 sheets of graph paper This section consists of 7 printed pages www.misskoh.com{Cedar Girt Secondary School ‘nf fear Bromma 2008 Secondo 1 Mothenates Section B [50 marks] Answer all the questions 15 > 9x10 ° r ie OR ° 2(4—x) ‘ PORS'sa rectangle. Tis a point on SR such that ST is 2(4—x) units and PO is (9x + 10) units. The perimeter of the rectangle is (48 ~ 2x) units Find in terms of x, the length of ° @) TR [2] (b) PS. B) 16 ‘The figure above shows a triangular prism where the cross-sections ABC and DEF are equilateral triangles. It has a cylindrical hole in the centre and a.square base BCFE of area 36 cm*. The volume of the cylindrical hole is 75.36 em’ and the perpendicular distance from A to BC is 5.2. em. Find the total surface area of the figure [Take x=3.14] (6) Page 11 www.misskoh.caomCedar Girt Secondary Sehoot ‘nd Tear Exanirton 208 Seoandary 1 Aathemtice 17 Ona cycling expedition, Carolyn cycled from Tuas to Changi Airport which is 25 km away. At 0600 h, Carolyn started her joumey and she travelled at a Constant speed of 10 kna/h until 0700 h. She then rested for 45 minutes before completing the rest of the journey at a constant speed of 5 knv/h, At 0630 h, another cyclist, Cedric started from Changi Airport and travelled at a constant speed towards Tuas. ‘The graph below shows the travel graphs of Carolyn and Cedric, (a) At what time did Carolyn reach Changi Airport? 0) (b) How far was Carolyn from Changi Airport during her rest? fi) (©) How far has Carolyn travelled when she met Cedric? tt) (4) How far were they from each other at 0930 h? 2 (8) At what speed was Cedric travelling at? Pj () Find the average speed of Carolyn for the whole journey. Bi) Page 12 www.misskoh.comder re’ Secondary Sehoat ExdfTear Examination 2008 ‘Secondary I Methomatie 18 Answer the whole of this question on a sheet of graph paper. A survey was conducted on 250 students on their family size. The results are shown in the table below. ‘Number of family members 2 3 4 6 Frequency 16.| 64 | a5 | 55 | 30 Represent the above data using a histogram. (al 19 Answer the whole of this question on a sheet of plain paper. Construct a quadrilateral ABCD in which AB = 7 cm, BC =5 om, DC=6 cm, BAD = 45° and diagonal BD = 8 cm, BI (a) Measure and write down the length of AC. w _ (b)_— Onthe same diagram, construct and label (i) hy, the perpendicular bisector of AB, ul (ii) _h, the angle bisector of ZADC. fi} 20 A hollow tank above has an internal diameter of 7 m and an external diameter of 8 m, The external height of the tank is 9 m and the thickness of the base is 15m. If the density of the material used to make the tank is $0 g/em’, calculate the weight of the tank in kg. [4] Page 13 www.misskoh.comCedar Girt! Secondary Scoot Bndof Year Beomintion 2006 ma Secondary 1 Methemtics 1sm ‘The rectangular tank above is initially completely filled with water. ‘The valve is then opened and water starts to flow into the cylindrical tank. If the water level in the rectangubr tank is decreasing at a constant rate of 10 cm/s. Find (a) the time taken for the rectangular tank to be completely drained, [1] (b) the rate of water flow from the rectangular tank in m/s, , (2) (c) the height of the water level in the cylindrical tank after 10 seconds. (2) Page 14 www.misskoh.comCedar irs Secondory Schoo! Exd-of Year Examination 2005 Secondary I Mothemosie 22 Answer the whole of this question on a sheet of graph paper. ‘Variables x and y are related by the equation 2y +3x—4=1. The table below shows some corresponding values of x and y. x -3 -2 -1 oO 1 2 3 y a 35 6 25 e [-os | a (a) Calculate the values of a, 6, e and d. 2 (b) Using a scale of 2 cmto represent 1 unit on the x-axis and 1 em to Fepresent 1 unit on the y-axis, draw the graph of 2y+3x—4=1. [3] Hence, use your graph to find (@__ the value of y when x. Gi) the value of x when y (©) (On the same axes, plot the graph of y =3r. ay oy 21 (ii) Hence, write down the coordinates of the point of intersection of the graphs of 2y+3x~4=1 and y =3y. End of Section B Page 15 www.misskoh.com fyCedar Girl” Secondary School End-of Year Examination 2006, Secondary 1 Mathonanes Cedar Girls' Secondary School Mathematics Secondary One EYE 2006 (Answer Key) Section A Sexton T a) [039 1S fa) |] TR=iix+2 D7 by | PS=2¢7— Sx) 200 2 fy ]-104 16 189-44 om Dla 7 a) | 10aShrs 7 hy [2 [is km Taal 9 /i25km ha ® | 1525 km D | 7iakwh 3 fa [5.26 km/h 5) iv Histogram 1 B 11.5 em (£02 em) Dy a 8 190 000k 7 |) | taQa—) 21 _[3) | 20 seconds D D 7 1 | Ty a7hy ) 04s mis 202 8 [a | 20 9 [0.159m 3x by | rare 13 Yay 2 Ta ae 3 De a oy [oa 3 10 | 9) | 6 pupiis wi | 235 [50% i) | (0.58.7) i fa) [n= ») | 180° P18) nape B = ” | cacy Pe 2 ° 165 16.Sem? B 1.20 pm or 1320 1 | a) | 128 shaded triangles bY | 2x 4",2?°* shaded triangles www.misskoh.com