2022 CCSS Sec 2 EOY Math

2E /End of Year Examination Paper 1/ 2022 Candidate Name Class Register Number Calculator Model No CHANGKAT CHANGI SECONDARY SCHOOL End of Year Examination 2022 Subject : Mathematics Level : Sec 2 Express Paper : 4052/01 Date : 12 October 2022 Duration : 1 hour 15 minutes Setter : Mrs Peh ___________________________________________________________________________ READ THESE INSTURCTIONS FIRST Write your name, class and register number on all the work you hand in. Write in dark blue or black pen. You may use an HB for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer ALL 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 50. For Examiners’ Use Marks Marks / 50 Personal Target Actual Grade Parent’s / Guardian’s Signature This document consists of 12 printed pages, including the cover page. [Turn Over

2E /End of Year Examination Paper 1/ 2022 2 Mathematical Formulae Compound Interest Total Amount = nrP )1001( + Mensuration Curved Surface area of a cone = rl Curved 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 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 == bccba 2222 −+= Acos Statistics Mean =   f fx Standard deviation = 2 2 )(     − f fx f fx

2E /End of Year Examination Paper 1/ 2022 3 Answer all the questions 11 (a) Simplify 5(2 1) 3x+− . Answer …................................ [1] (b) Factorise 6xy x− . Answer …................................ [1] 2 The stem-and-leaf diagram shows the masses, in grams, of 25 kiwi fruits. 7 0 0 1 1 2 5 8 8 2 2 6 8 9 0 0 0 1 5 9 10 3 3 5 11 0 0 0 1 12 0 Key 10 5 represents 105 grams For these masses, find (a) the range, Answer …...................... grams [1] (b) the mean, Answer …........................grams [2] (c) the median, Answer …........................grams [1] (d) the mode. Answer ….......... , ...........grams [1] [Turn Over

2E /End of Year Examination Paper 1/ 2022 4 3 (a) Solve 6 1 3 28xx+ − + . Answer …................................ [2] (b) Represent the solution in (a) on the number line provided below. [1] (c) Write down the smallest possible integer that satisfy the solution in (a). Answer ….…............................ [1] 4 Show that ( ) 2 2 1 3n−+ is a multiple of 4 for all integer values of n. Answer [2] 1− 0 1 2 3 4

2E /End of Year Examination Paper 1/ 2022 5 5 Factorise completely 3 2 6ab a b− + − . Answer …................................. [2] 6 Solve 21 15 15 yy −−= . Answer y = ............................... [2] [Turn Over

2E /End of Year Examination Paper 1/ 2022 6 7 22() 2 m v uW −= (a) Calculate the value of W when m = 4, u = 3 and v = 10. Answer ….…............................ [1] (b) Make v the subject of the formula. Answer ….…........................... [2] 8 9 (a) Factorise completely 22 15xx−− . Answer …................................ [2] (b) Hence, factorise completely 22(2 3) (2 3) 15yy− − + − + . Write your answer as simply as possible. Answer ….…........................... [2]

2E /End of Year Examination Paper 1/ 2022 7 9 The diagram shows a square pyramid VABCD. AB = BC = 12 cm and the height of the pyramid is 10 cm (a) Calculate the length of VM. Answer …............................ cm [2] (b) Find the total surface area of the pyramid, leaving your answer to 2 decimal place. Answer …............................ cm2 [2] [Turn Over

2E /End of Year Examination Paper 1/ 2022 8 10 The mass, M grams, of each object is directly proportional to the square of its radius, r centimetres. The object with radius 2 cm has a mass of 100 grams. (a) Find a formula for M in terms of r. Answer …................................ [2] (b) Find the mass of the object with a radius 5 cm. Answer ….............................. g [1] (c) The mass of an object is increased by 40%. Calculate the percentage increase in the radius of the object. Answer …............................. % [2]

2E /End of Year Examination Paper 1/ 2022 9 11 A bag contains 5 red counters, 8 green counters and 7 blue counters. Red s (a) A counter is chosen at random and then replaced. What is the probability that it is not a red counter? Answer …................................ [1] (b) x blue counters are removed from the bag. The probability of choosing a red counter is now . Find the value of x. Answer …................................ [2] [Turn Over

2E /End of Year Examination Paper 1/ 2022 10 12 A map of Japan has a scale of 1 : 2 000 000. Red s (a) The length of the Yubari river on the map is 6.8 cm. Calculate the actual length, in kilometres, of the Yubari river. Answer…………………. km [2] (b) The area of Hokkaido is 83 454 km2. Calculate the area, in square centimetres, of Hokkaido on the map. Answer………………… cm2 [2]