HIHS Sec 2 Math 2024 EOY P1

HOLY INNOCENTS’ HIGH SCHOOL Candidate Name Class Index Number END OF YEAR EXAMINATION 2024 SECONDARY 2 MATHEMATICS PAPER 1 4052/01 Date: 8 Oct 2024 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: Mrs Lo Sock Kui Vetted by: Mr Ian Sim This document consists of 16 printed pages (including cover page). O N A 60

2 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 1 Mathematical Formulae Mensuration Curved surface area of a conerl= Surface area of a sphere 24r= V olume of a cone hr2 3 1= V olume of a sphere 3 3 4r=

3 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 1 Answer all the questions. 1 (a) Solve the inequality ()24 5 .cc− − Answer .......................................... [2] (b) State the largest integer value of c which satisfies the inequality in (a). Answer .......................................... [1] 2 A number is chosen at random from 1 to 20 inclusive. Find the probability that the number chosen is (a) a multiple of 6, Answer .......................................... [1] (b) a prime number. Answer .......................................... [1] _____________________________________________________________________________

4 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 1 3 Solve (a) 54 3x=, Answer x = .................................... [1] (b) 13 832 xx−++=. Answer x = .................................... [2] 4 y is inversely proportional to the square of x. When x increases by 300%, find the percentage change in y. Answer ...................................... % [3] _____________________________________________________________________________

5 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 1 5 Solve these simultaneous equations. 35 3 3 2 17 xy yx += −= Answer x = ................................... y = .................................... [3] _____________________________________________________________________________

6 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 1 6 The diagram below shows triangleABC where 35AB=cm, 21BC=cm and 28AC=cm. (a) Show that triangleABC is a right-angled triangle. Answer ........................................................................................................................ ...................................................................................................................................... ...................................................................................................................................... ...................................................................................................................................... ...................................................................................................................................... ...................................................................................................................................... ...................................................................................................................................... ...................................................................................................................................... [2] (b) Find the shortest distance from C to AB. Answer ..................................... cm [2] _____________________________________________________________________________ A B C 35 21 28

7 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 1 7 (a) Expand 2()ab−. Answer .......................................... [1] (b) Hence find the value of 22ab+given that 3ab−=and 40ab=. Answer .......................................... [2] _____________________________________________________________________________

8 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 1 8 In the diagram, triangleABCis similar to triangle .EDC 66AD=cm, 24CD=cm, 30CE=cm, 18DE=cm, angle 90ABC= and angle 53.1BAC=. Find (a) angle ,CED Answer ........................................  [1] (b) the length of CB,