HIHS Sec 2 Math 2023 EOY P2

HOLY INNOCENTS’ HIGH SCHOOL Candidate Name Class Index Number END OF YEAR EXAMINATION 2023 SECONDARY 2 MATHEMATICS PAPER 2 4052/02 Date: 4 Oct 2023 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 𝜋𝜋, use either your calculator value or 3.142. For Examiner’s use Set by: Mrs Chang Poh Joo Vetted by: Mr Ian Sim This document consists of 16 printed pages (including cover page) and 2 blank pages. O 60

2 Holy Innocents’ High School End of Year Examination 2023 Secondary 2 Express Mathematics Paper 2 Mathematical Formulae Mensuration Curved surface area of a conerlπ= Surface area of a sphere 24 rπ= Volume of a cone hr2 3 1 π= Volume of a sphere 3 3 4 rπ=

3 Holy Innocents’ High School End of Year Examination 2023 Secondary 2 Express Mathematics Paper 2 [Blank Page]

4 Holy Innocents’ High School End of Year Examination 2023 Secondary 2 Express Mathematics Paper 2 Answer all the questions. 1 (a) Find the prime factors of 936, giving your answer in index form. Answer…………………………... [1] (b) Two integers, A and B, can be written as products of prime factors, where p, q and r are constants and r < p < q. A = p × q r + 1 × 13 B = p3 × q r × 13 The lowest common multiple (LCM) of A and B is 936. (i) Write down the values of p, q and r. Answer p = …………………... q = …………………... r = …………………... [2] (ii) Find the highest common factor (HCF) of A and B. Answer…………………………... [1] (iii) Find the smallest positive integer k such that 936 kis a square number. Answer k = ……………………... [1]

5 Holy Innocents’ High School End of Year Examination 2023 Secondary 2 Express Mathematics Paper 2 2 (a) The speed of a toy car, v m/s is inversely proportional to the square root of its mass, m g. When the mass is 49 g, its speed is 6.4 m/s. Find the speed of the toy car when its mass is 36 g. Answer………………………… m/s [2] (b) A 220 m long train enters a tunnel and passes through it completely in 1 minute 20 seconds at an average speed of 270 km/h. (i) Change 270 km/h into m/s. Answer………………………… m/s [1] (ii) Find the length of the tunnel, representing your answer in metres. Answer………………………… m [2]

6 Holy Innocents’ High School End of Year Examination 2023 Secondary 2 Express Mathematics Paper 2 3 An observation was carried out on a group of 15 students to find out the number of hours they exercise in a week. The results for 5 students have been represented on the dot diagram below. (a) The number of hours spent exercising for 10 other students are recorded below. 5 7 1 2 5 2 3 4 6 7 Represent this data on the dot diagram. [2] (b) Write down the number of hours that occurs most frequently. Answer………………… h [1] (c) Write down the number of hours that is an outlier. Answer………………… h [1] (d) Find the percentage of students who exercise at least 5 hours a week. Answer………………… % [1] (e) Is it appropriate to represent the data using a line graph? Explain your reasoning clearly. Answer ………………………………………………………………………………... ……………………………………………………………………………….………... ……………………………………………………………………………………... [1] 0 1 2 3 4 5 6 7 8 9 10 11 Number of hours students exercise in a week

7 Holy Innocents’ High School End of Year Examination 2023 Secondary 2 Express Mathematics Paper 2 4 On a certain day, a bank had the following exchange rates. 1 SGD 0.8163 USD= and 1 USD 0.6977 EUR= (a) Find the exchange rate between Singapore dollars (SGD) and Euros (EUR) in SGD/EUR correct to 4 significant figures. Answer ……………… SGD / EUR [2] (b) A watch was sold for 430 EUR on an European website and 600 USD on an American website. If shipping is free for both websites, which one offers a better deal? Show your working clearly. Answer The ……………………… website offers a better deal because …...….… …………………………………………………………………………………….…. [2] (c) Ming bought a camera in Europe costing 500 EUR. She pays GST at 8% on the cost of the camera when she returns to Singapore. Calculate the amount, in dollars, Ming spent on the camera including GST. Answer ………………… SGD [2]

8 Holy Innocents’ High School End of Year Examination 2023 Secondary 2 Expres