HIHS Sec 2 Math 2022 EOY P1

HOLY INNOCENTS’ HIGH SCHOOL Candidate Name Class Index Number END OF YEAR EXAMINATION 2022 SECONDARY 2 MATHEMATICS PAPER 1 4052/01 Date: 6 Oct 2022 Duration: 1 h 30 min Candidates answer on the Question Paper. No Additional Materials are required. READ THESE INSTRUCTIONS FIRST Write your name, class and index number 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 paper clips, glue or correction tape/fluid. Answer ALL 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 60. 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 𝜋, use either your calculator value or 3.142. For Examiner’s use Set by: Mr Lin WeiDing Vetted by: Mr Shahrom This document consists of 16 printed pages (including cover page). O N A 60

2 Holy Innocents’ High School End of Year Examination 2022 Secondary 2 Express Mathematics Paper 1 Mathematical Formulae Mensuration Curved surface area of a conerl= Surface area of a sphere 24r= Volume of a cone hr2 3 1= Volume of a sphere 3 3 4r=

3 Holy Innocents’ High School End of Year Examination 2022 Secondary 2 Express Mathematics Paper 1 Answer all the questions 1 Write these numbers in order of size, starting with the smallest. ()21 1 10% 0.12  Answer …………… , …………… , …………… , …………… , ……………. [2] smallest largest 2 The number of National Day Parade 2022 participants were estimated to be 26000, corrected to 2 significant figures. Find (a) the largest possible number of participants, Answer ………………………… [1] (b) the smallest possible number of participants. Answer ………………………… [1]

4 Holy Innocents’ High School End of Year Examination 2022 Secondary 2 Express Mathematics Paper 1 3 A graph showing the daily sales for two mobile phone brands is shown below. State one feature of the graph that may be misleading and explain why. Answer ………………………………………………………………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….… [2] 4 Solve the equation ()()27 3 1 5 .xx++ = Answer x = ................................. [3] Daily Sales Kphone Samsong Number of devices sold (Hours) 10 12 18 Mobile Phone Brand 14 16

5 Holy Innocents’ High School End of Year Examination 2022 Secondary 2 Express Mathematics Paper 1 5 In the diagram, RS = 5 cm, ST = 12 cm, and RT = 13 cm. Is triangle RST a right-angled triangle? Show your working. Answer ………………………………………………………………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….… [2] 6 (a) Solve the inequality 32 5.4 x− Answer ………………………… [2] (b) Hence write down the largest integer that satisfies the inequality in part (a). Answer x = …………………… [1] R S T 5 cm 13 cm 12 cm

6 Holy Innocents’ High School End of Year Examination 2022 Secondary 2 Express Mathematics Paper 1 7 It is given 2 .ab Mq += (a) Express a in terms of M, q and b. Answer a = …………………… [2] (b) Find the value of M when 1.75,a=− 3b=−and 0.5.q= Answer M = …………………… [1] 8 Jaclyn bought a smartwatch in Korea that cost 234000 Korean won. She pays GST at 7% on the cost of the smartwatch when she returned to Singapore. The exchange rate between Singapore dollars and Korean won is $1 = 937.30 won Calculate the amount, to the nearest dollar, Jaclyn spent on the smartwatch including GST. Answer $ ……………………… [3]

7 Holy Innocents’ High School End of Year Examination 2022 Secondary 2 Express Mathematics Paper 1 9 Solve the simultaneous equations 32 5 , 45 2 . xy xy −= −= Answer x = .……………………….... [1] y = .……………………….... [3]

8 Holy Innocents’ High School End of Year Examination 2022 Secondary 2 Express Mathematics Paper 1 10 There were 12 girls and 8 boys in a Tennis club in Term 1. One person was selected at random to participate in a competition. (a) Find the probability of selecting a boy for the competition. Answer ………………………… [1] (b) In Term 2, a few more girls joined the Tennis club and the probability of selecting a girl became 9.13 Find the number of girls who joined the Tennis club in Term 2. Answer …………………… girls [2]

9 Holy Innocents’ High School End of Year Examination 2022 Secondary 2 Express Mathematics Paper 1 11 (a) Written as products of their prime factors, 237abc L=and 23 108 2 3 .= The highest common factor of L and 108 is 22 23 . The lowest common multiple of L and 108 is 33 237 . Find the value of a, b a