HIHS Sec 2 Math 2023 EOY P1

HOLY INNOCENTS’ HIGH SCHOOL Candidate Name Class Index Number END OF YEAR EXAMINATION 2023 SECONDARY 2 MATHEMATICS PAPER 1 4052/01 Date: 10 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 𝜋, use either your calculator value or 3.142. For Examiner’s use Set by: Mr Lin WeiDing Vetted by: Mr Ian Sim This document consists of 17 printed pages (including cover page) and 1 blank page. O N A 60

2 Holy Innocents’ High School End of Year Examination 2023 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 2023 Secondary 2 Express Mathematics Paper 1 Answer all the questions 1 By rounding off each number to the nearest whole number, estimate the value of 649.823 21.33 4.7 0.32−− . Show your working. Answer ………………………… [2] 2 Factorise 91 2 34 .mn np mq pq+−− Answer ………………………… [2] 3 The figure below is made up of a rectangle ABDE and isosceles triangle BCD. Answer (a) (a) Draw the line(s) of symmetry on the figure. [1] (b) State the order of rotational symmetry of the figure. Answer ………………………… [1] A B C D E

4 Holy Innocents’ High School End of Year Examination 2023 Secondary 2 Express Mathematics Paper 1 4 Liquid fertilisers costs m cents per litre. Ellie buys some fertilisers and it costs her n dollars. She was given a 50% discount. Find an expression, in terms of m and n, for the number of litres that Ellie buys. Answer ………………………… litres [2] 5 In the diagram, EF = 20 cm, FG = 21 cm, and EG = 29 cm. Is triangle EFG a right-angled triangle? Show your working. Answer ………………………………………………………………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….… [2] E F G 20 cm 29 cm 21 cm

5 Holy Innocents’ High School End of Year Examination 2023 Secondary 2 Express Mathematics Paper 1 6 A graph showing the daily ratings for two shops is shown below. State one feature of the graph that may be misleading and explain why. Answer ………………………………………………………………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….… [2] 7 p is directly proportional to 2.q It is known that p = 125 for a particular value of q. Find the value of p when this value of q is increased by 200%. Answer ………………………… [2] Daily Rating Shop A Shop B Number of good ratings 0 4 12 8 10

6 Holy Innocents’ High School End of Year Examination 2023 Secondary 2 Express Mathematics Paper 1 8 It is given 22 3.pb Ma += Express b in terms of M, a and p. Answer b = …………………… [2] 9 (a) Solve the inequality 8 10 3 18 .10 15 dd+− Answer ………………………… [2] (b) Hence write down the smallest prime number that satisfies the inequality in part (a). Answer d = …………………… [1]

7 Holy Innocents’ High School End of Year Examination 2023 Secondary 2 Express Mathematics Paper 1 10 (a) The first four terms of a sequence are 33 3312 , 24 , 36 , 48 .−−−− Find an expression Tn, in terms of n, for the nth term in this sequence. Answer Tn = …………………… [1] (b) The nth term in a different sequence is given by 12 5.n− Explain if 235 is a term in this sequence. Show all your working. Answer ………………………………………………………………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….…… ……………………………………………………………….………….………….… [2]

8 Holy Innocents’ High School End of Year Examination 2023 Secondary 2 Express Mathematics Paper 1 11 (a) Factorise 2225 .xy− Answer ………………………… [1] (b) It is given that 22 16ab+= and 9a b=−. Find the value of 2() .ab− Answer ………………………… [2] 12 (a) Simplify 22 33 .42 8 xy x y pp−− Answer ………………………… [2] (b) Write 71 21 2mm−−+ as a single fraction in its simplest form. Answer ………………………… [2]

9 Holy Innocents’ High School End of Year Examination 2023