HIHS Sec 2 Math 2024 EOY P2

1 HOLY INNOCENTS’ HIGH SCHOOL Candidate Name Class Index Number END OF YEAR EXAMINATION 2024 SECONDARY 2 MATHEMATICS PAPER 2 4052/02 Date: 2 Oct 2024 Duration: 1 h 30 mins 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 , use either your calculator value or 3.142. Set by: Mrs Chang Poh Joo Vetted by: Mr Ian Sim This document consists of 18 printed pages (including cover page) and 2 blank pages. O N A 60 For Examiner’s use

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

3 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 2 [Blank Page]

4 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 2 Answer all the questions. 1 (a) Anna bought an antique vase for $345. One year later, she sold it for a profit of 180% of the cost price. Calculate the selling price. Answer $……………………. [2] (b) Ben bought a tablet during a sale where the prices are reduced by 6%. The sale price of the tablet is $785. Calculate the price of the tablet before the sale. Give your answer correct to the nearest dollar. Answer $……………………. [2]

5 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 2 (c) Factorise completely 26 2 12 .p qr pq pr− − + Answer ……………………….. [2] (d) It is given that y is directly proportional to .x Find the value of m in the following table. Answer m = ………………. [2] x 9 16 25 y 40.5 m 67.5

6 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 2 2 A survey was conducted to find the number of pets each household has. The results are shown in the dot diagram. (a) Find the number of households that have less than 2 pets. Answer ……………………….. [1] (b) Find the probability that a household, chosen at random, has 3 pets. Answer ……………………….. [1] (c) If the results were represented by a pie chart, calculate the angle of the sector that would represent the number of households who do not have any pets. Answer ………………………  [1] (d) State the modal number of pets. Answer ……………………….. [1] 0 1 2 3 4 Number of pets Number of pets per household

7 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 2 (e) Find the mean number of pets per household. Answer ……………………….. [2] (f) David suggests using the mean as a measure of central tendency for this data set. Suggest why using the mean is appropriate. ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… …………………………………………………………………………………... [1] (g) 1 new household with 5 pets is included in the data set. Find the new mean number of pets per household. Answer ……………………….. [1]

8 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 2 3 (a) In the expression 22 3 7 5p pq q q+ − + − , write down the coefficient of .q Answer ……………………….. [1] (b) Expand and simplify ( )1 4.2 r s r s +− Answer ……………………….. [2]

9 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 2 (c) Simplify 22 20 12 2 .25 9 mn m n m + − Answer ……………………….. [3] (d) It is given that 21 .2s ut at=+ Express a in terms of s, u and t. Answer ……………………….. [2]

10 Holy Innocents’ High School End of Year Examination 2024 Secondary 2 Express Mathematics Paper 2 4 (a) The diagram shows a trapezium ABCD. AD = 14 cm, CD = 10 cm and angle ABD = 65 . (i) Calculat