HIHS Sec 2 Math 2021 EOY P1

HOLY INNOCENTS’ HIGH SCHOOL Candidate Name Class Index Number END OF YEAR EXAMINATION 2021 SECONDARY 2 MATHEMATICS PAPER 1 4045/01 Date: 11 October 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 Zoel Ng Vetted by: Mr Lin Weiding This document consists of 13 printed pages (including cover page) and 1 blank page. E 60

2 Holy Innocents’ High School End Of Year Examination 2021 Secondary 2 Express Mathematics Paper 1 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 2021 Secondary 2 Express Mathematics Paper 1 1 (a) Written as a product of its prime factors, 2180 2 3 5 .xy= Find the values of x and y. Answer x = .……………………….... [1] y = .……………………….... [1] (b) Find the greatest number that will divide 180 and 36 exactly. Answer ……………………………... [1] 2 On a particular day, the ratio of time spent by Dan on sleeping and studying is 7 : 13 . The ratio of time spent on studying and playing is 2 : 1. If Dan spent a total of 11.5 hours sleeping, studying and playing, calculate the amount of time he spends on studying on this day. Answer ………………………. hours [2]

4 Holy Innocents’ High School End Of Year Examination 2021 Secondary 2 Express Mathematics Paper 1 3 (a) Calculate ()2 3 3.56 8 614.59 − + . Correct your answer to 2 significant figures. Answer ……………………………... [1] (b) Cara says that 2.50 m is as accurate as 2.5 m. Justify if Cara is correct in saying this. ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ………………………………………………………………………………… [1] 4 It is given that 2() 1 6ab+= and 2.ab=− (a) Show that 22 20.ab+= Answer [1] (b) Hence find the value of 2() .ab− Answer ……………………………... [1]

5 Holy Innocents’ High School End Of Year Examination 2021 Secondary 2 Express Mathematics Paper 1

6 Holy Innocents’ High School End Of Year Examination 2021 Secondary 2 Express Mathematics Paper 1 5 (a) Convert 0.64 m3 to cm3. Answer ………………………… cm3 [1] (b) Convert 60 m/s to km/h. Answer ………………….…….. km/h [1] 6 A triangle ABC has sides AB = 20 cm, BC = 21 cm and AC = 29 cm. Determine whether this triangle is a right-angled triangle. Show your working clearly. ……………………………………………………………………………………............. ……………………………………………………………………………………………. ……………………………………………………………………………………………. ……………………………………………………………………………………………. ………………………………………………………………………………………. [2] 7 (a) Factorise 249 .x− Answer ……………………………... [1] (b) Factorise fully 63 84 .px qx py qy+−− Answer ……………………………... [2]

7 Holy Innocents’ High School End Of Year Examination 2021 Secondary 2 Express Mathematics Paper 1 8 The diagram shows a sketch of the graph of .ya x b=+ The line crosses the axes at ()5, 0A− and ()0,15 .B (a) Find the gradient of the line AB. Answer ……………………………... [1] (b) Write down the equation of the line AB. Answer ……………………………... [1] (c) Hence find the value of y when 2.x=− Answer y = ..………………………... [1] 9 It is given that 22 2.=+vu a s (a) Find v when u = 19, a = 9 and s = 1800, where v > 0. Answer v = ..………………………... [1] (b) Express u in terms of v, a and s. Answer ……………………………... [2] x y A B

8 Holy Innocents’ High School End Of Year Examination 2021 Secondary 2 Express Mathematics Paper 1 10 The heights of 20 students were measured and shown in the table below. 123 134 157 176 176 142 134 168 127 172 121 137 155 164 170 132 163 129 130 133 (a) Use the data above to complete this frequency table. Height, x centimetres Frequency 120 130x 130 140x 140 150x 150 160x 160 170x 170 180x [2] (b) It is discovered that the heights had been measured incorrectly. The correct heights were all 2 cm less than those recorded. State how the mean of the heights have been affected by this error. ……………………………………………………………………………………… ……………………………………………………………………………………… ………………………………………………………………………………… [1]

9 Holy Innocents’ High School End Of Year Examination 2021 Secondary 2 Express Mathematics Paper 1 11 (a) (i) Solve the inequality ()()22 5 3 3.− +xx Answer ……………………………... [2] (ii) Hence write down the smallest prime number that satisfies the inequality. Answer ……………………………... [1] (b) Represent 2x− on the number line. Answer [1]