2022 Sec 3 Express Math EOY Outram Secondary with Answer

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lndex Number Name: EsTi .306 Subject Paper No. Level (Stream) : SecondaryThree Express Date : 11 October 2022 Duration : t hour 30 minutes Marks : 50 READ THESE INSTRUCTIONS FIRST Candidates answer on the Question Paper. 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 pencll for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or corection fluid. Answer all questions. lf working is needed for any question it must be shown with the answer. Omission of essential working will result in loss of marks. The use of an approved scientific calculator is expected, where appropriate. lf the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three signiflcant figures. Give answers in degrees to one decimal place. For r, use either your calculator value ot 3.142, unless the question requires the answer in terms of r. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question For Examiner's Use 50 OUTRAM SECONDARY SCHOOL EN D.OF.YEAR EXAMINATION 2022 : Mathematics : 4048101 This document mnsists of 12 printed pages, including this cover page. Setter: Ms. Woo See Wei PartnerlnLeaming 3.13 BP-317 I-

BP-319 I Answer all the questions. Nurul, Olivia and Philip shared 36 sweets in the ratio 4:3:2. How many sweets does Nurul have? Answer tll , E'*n o, $ as a percetrtage. Answer o/" ll 3 (a) Express 0.00045038924 in standard form. Answer (b) Given that p --7.8xld and q=1.74x10'{,find kave your answer in standard form. Answer 4p q' tll 12) PartnerlnLeaming 315

BP - 320 4 (a) Simplify (4r'), O) Solve 9'=3r+33+33. Answer Answer x = 12) t2) 5 wn-,- )+-+ as a single fracfion in its simplest form. Answer t2) PartnerlnLeaming 316

BP'321 6 (a) Express x'-4x+gintheformof (x ft)'?+,t. Answer (b) Write down the coordinates of the minim,'m point of the graph y=x2-4x+g- t2l tllAnswer 7 Sketch the graph of y=(r-3)(x+4) on the axes below. Indicate clearly the values of the points where the graph crosses x andy axes on the curve. x v t3l PartnerlnLeaming 317 )

BP-322 8 (a) Solve the inequalities -Z{.r+ }) < 3 < 2(5 - x). Answer (b) Represent the solution on the number line below (c) Hence, state the smallest prime number that satisfies the inequalities Answer t3l tll PartnerlnLeam,ng 318 tll

9 BP - 323 Factorise completely (a) x2 -25 , O) 4a+6ab-3b-2 Answer Answer tll l2l (c) Using factorisation, solve 8x2 + l8x - 5 = 0 Answer x: __ t31 PartnerlnLeaming 319 or

BP-3?4 10 The estimated number ofbabies bom in Singapore decreased fiom 60 000 in 1990 to 45 600 in 2020. The number decrease by n%o every year. Find the value ofr Answer t2l 11 (a) Express 270 as a product ofits prime factors. Answer (b) The number 270p is a perfect cube. Find the smallest value ofp. Answer tll ttl PartnerlnLeaming 320

BP - 325 12 Sheila invests $2500 at rate of /Z compound interest per annum. At the end of 6 years, the value ofher investment is $3100. Find the value ofr. Answer % t3) 13 Given that y = 36 - 2xz , (a) find y when r = -2 . Answer (b) Rearrange the formula to make.x the subject ofthe given equation. Answer tll 321 t2) PartnerlnLeaming

BP - 326 14 The sine of an angle, x", rounded to 3 significant figures is 0.378. Give two possible values for the angle. Answer x: or 12) 15 Five positive integers have a mean of 5-6, a median of7 and a mode of2. Find the five numbers. Answer t2) 16 ABCDE is a trapezium- Angle BDC =32' , angle DBC = angle DCB. Find the value ofx. E D CBA Answer x = I2l PartnerlnLeaming 322