Math - Sec 2 - SA 2 - 2021 - ACS Barker

) I CLASS . ~ ( ~ Ii' " \~ . . ~ght .. ~IJittdt c,it\11111 (~arktt~ab) END-OF-YEAR EXAMINATION SECONDARY TWO EXPRESS MATHEMATICS PAPER 1 1 HOUR 30 MINUTES Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your index number and name 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 staples, paper clips, glue or correction fluid. Answer all questions . 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 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 1r , use either your calculator value or 3.142, unless the question requires the answer in terms of 1r. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 60. For Examiner's Use This question paper consists of 15 printed pages and 1 blank page. Partnerlnlearning 3 BP-3

Compound interest Mensuration Trigonometry Statistics End-of-Year Examination 202 1 Pap er I Mathematical Formulae Total amount = P (1 + -.!::_)" 100 Curved surface area of a cone = 1rrl Surface area of a sphere = 4n-r 2 1 Volume of a cone = - 1rr 2 h 3 4 Volume of a sphere = - ,rr 3 3 Area of triangle ABC = I_ ab sin C 2 Arc length = r0 , where 0 is in radians Sector area = l..r20 , where 0 is in radians 2 a b C --=--=--sin A sinB sin C a 2 =b2 +c2 -2bccosA "'V tx Mean =-LJ __ It Standard deviation = Itx 2 -[ItxJ 2 It It 2 Partnerlnlearning 4 Secondary 2 Express Mathe matics BP-4

1 Write these durations from the shortest to the longest. 308 minutes 5.1 hours 1 5- hours 6 Answer [1] 2 The table gives the lowest temperatures recorded in Beijing on each day of a week. Day Sun Mon Tue Wed Thu Fri Sat Temperature 2 3 0 -1 -3 -4 0 (in °C) (a) What was the difference between the lowest temperatures on Mon and Thu? Answer °C [1] ----------- (b) Between which two consecutive days was the change in temperature greatest? Answer and ------- ------- [1] 3 By writing each number correct to 1 significant figure, estimate the value of Show your working. End-of-Year Examination 2021 Paper 1 ✓490x0.763 4.49 Answer 3 Partnerlnlearning 5 [2] Secondary 2 Express Mathematics BP-5

i' BP-6 4 . Expand and simplify ( 3a - 2b) ( 3a + b) + 3ab . Answer 5 (a) Solve -4a + 2 ~ 17. Answer (b) Find the largest integer satisfying -4a + 2 ~ 17. End-of-Year Examination 2021 Paper 1 Answer 4 PartnerlnLearning 6 [2] [1] [1] Secondary 2 Express Mathematics

6 Find the reflex angle formed by the minute hand and the hour hand of a clock at 1.30 pm . Answer 7 Two rectangles are geometrically similar. The first has adjacent sides of lengths 10 cm and 12 cm. The second one has one side of length 15 cm. Find the two possible lengths of the adjacent side of the second rectangle. ., 0 [2] Answer cm or cm [2] ----- ----- End-of-Year Examination 2021 Paper I 5 Partnerlnlearning 7 Secondary 2 Express Mathematics BP-7

8 The graph below shows the number of confirmed Covid-19 cases in 17 EU countries by age group, over approximately 40 weeks in the year 2020. Younger People Are Driving the Current Surge. in Covid-19 Cases Across :Europe 1~~(){)., 1;,000 12;500 10,000 10 15 .20 25 30 W:EEKSlNT0.20.20 ~Cmlnlll%1'X-~(~~~1)li\ ;J~:Wl111'\;.~fW;;:,~~~lt~ . ~'¾,~~11,M.l!l!i,lk\t~it~~~-$t;;,,,.,, $«1«)):$w1)JmP.~~~~pi:.ttJf!M.EU1~Pi"A1l~fM@te-,1;allm,~~;1r¢{-0n1tol •15,24 -~ •o~ U'/ <15 State one feature of the graph that may be misleading and explain why. Answer ----------------------------- 9 Given that p is inversely proportional to q2 and that p = 100 when q = 2, find the value of p when q = 5. Answer p = __________ _ 6 [2] [3] End-of-Year Examina tion 202 1 Paper 1 Partnerlnlearning 8 Secondary 2 Express Ma thematics BP-8

10 Express the following as a single fraction in its simplest form, 9m 3m2 5-,-10' (a) 4 2 (b) --- x-3 (x-3)2 · 11 Solve the simultaneous equations Answer Answer 2x+3y = 7 3x-y=16. [1] [2] Answer x = ______ and y = _____ _ [3] End-of-Year Examination 2021 Paper I 7 Partnerlnlearning 9 Secondary 2 Express Mathematics BP-9

12 The diagram shows three circles with diameters 2r, 4r and 6r. Find the ratio of the area of the shaded part to the unshaded part. End-of-Year Examination 2021 Paper 1 Answer 8 PartnerlnLearning 10 [3] Secondary 2 Express Mathematics

13 A class has twice as many girls as boys . The mean mass of the girls is 52 kg and the mean mass of the boys is 61 kg. What is the mean mass of all the students in the class? Answer kg [2] ------------ 14 A rectangular display cabinet has width 120 cm and length 75 cm. It is going to be divided into smaller areas of congruent squares. What is the smallest number of squares that can be attained, without leaving any parts of the cabinet out? Answer 9 [4] End-of- Year Exami nation 2021 Paper I Partnerlnlearning 11 Secondary 2 Express Mathe matics

15 Diagram 1 shows a treadmill . Its running belt revolves around a running board , and the belt fonns the shape shown in Diagram 2. ABC and EFG are semicircles with diameter 6 cm. ACGE is a rectangle. The running belt has a lifespan of 750 000 revolutions before it needs to be replaced. Mr Tan uses the treadmill three times a week and he runs at 8 km/h for 30 minutes each time. Diagram 1 : Treadmill A( B(6cm C 1.8m Diagram 2: Running Belt Find the number of weeks before the treadmill belt needs to be replaced. Give your answer correct to the nearest whole number. Answer ____ _ ____ weeks [4] End-of-Year Examinat ion 2021 Paper 1 10 Partnerlnlearning 12 Second ary 2 Express Mathematics BP-12