HIHS Sec 2 Math 2022 EOY P2

HOLY INNOCENTS’ HIGH SCHOOL Candidate Name Class Index Number END OF YEAR EXAMINATION 2022 SECONDARY 2 MATHEMATICS PAPER 2 4052/02 Date: 28 Sep 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: Miss Jolene Koh Vetted by: Mr Shahrom This document consists of 18 printed pages (including cover page) O 60

2 Holy Innocents’ High School End Of Year Examination 2022 Secondary 2 Express Mathematics Paper 2 Mathematical Formulae Mensuration Curved surface area of a conerl= Surface area of a sphere 2 4r= 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 2 Answer all the questions. 1 (a) By rounding off each number to 1 significant figure, estimate the value of 60145 0.51 421 99  −. Answer…………………………... [2] (b) Find the value of 3512using prime factorisation. Answer…………………………... [2]

4 Holy Innocents’ High School End Of Year Examination 2022 Secondary 2 Express Mathematics Paper 2 2 Express each of the following as a single fraction in its simplest form. (a) 2444 9 27 2 y y −+ Answer …………………….. [2] (b) 78 3 92 ( 92 ) ( 5 3 ) p pp p ++−−+ Answer …………………….. [3]

5 Holy Innocents’ High School End Of Year Examination 2022 Secondary 2 Express Mathematics Paper 2 3 (a) In the figure below, ABCDE is congruent to PQRST. AB = 1.5 cm, DE = 8 cm, TP = 2.5 cm, RQ = 7 cm, angle BCD = 93°, angle TPQ = 105° and angle STP = 120°. The perimeter of ABCDE is 30 cm. Find (i) the value of x, Answer x = ……………………° [1] (ii) the value of y. Answer y = ………………….cm [2] A B C D D E P Q R S T 1.5 cm 2.5 cm 7 cm 8 cm x 105° 120° 93° y

6 Holy Innocents’ High School End Of Year Examination 2022 Secondary 2 Express Mathematics Paper 2 (b) In the figure below, ABCDE is reduced to VWXYZ. (i) Find the scale factor of the reduction, Answer ………………………. [1] (ii) Find the length of VW, Answer ……………………….cm [1] (iii) Find the perimeter of VWXYZ. Answer ………………………cm [1] V W X Y Z 4 cm A 1.5 cm E 93° C B D 8 cm

7 Holy Innocents’ High School End Of Year Examination 2022 Secondary 2 Express Mathematics Paper 2 4 The variable y, is directly proportional to the square of x. It is given that the difference between the values of y when 2x=and 4x=is 1500. (a) Show that 2125yx=. [3] (b) Calculate the values of x when 540y=. Answer x =…………or x =……………. [2] (c) Find the change in the value of y when the value of x becomes 6 times its original value. Answer ………………………………………………………………………………. ……………………………………………………………………………………...... ………………………………………………………………………………………... [2]

8 Holy Innocents’ High School End Of Year Examination 2022 Secondary 2 Express Mathematics Paper 2 5 The selling price of prawns in Singapore is $x per kg during the regular season. The price increases by $4 per kg during the festive season. Mrs Lim bought $40 worth of prawns during regular season. (a) Write down an expression, in terms of x, for the mass of the prawns she bought. Answer …………………kg [1] (b) Write down an expression, in terms of x, for the mass of the prawns she would receive if she had bought the prawns during the festive season instead. Answer …………………kg [1] (c) Given that the difference in the mass in (a) and (b) is 500g, form an equation in x and show that it reduces to 2 43 2 0 0xx+− = . [3]

9 Holy Innocents’ High School