h How many kg of rice co uld be bought by Jack Ca tering with 102 in September

H how many kg of rice co uld be bought by jack ca

This preview shows page 197 - 200 out of 477 pages.

(h} How many kg of rice co uld be bought by Jack Ca tering with $102 in September 20 I I? Express your an swe r in terms of x. (c} If the difference in 1.hc numbe r of kg of rice oought in January and September is 8, form an equation in x and show that it reduces to x 2 + 20x - 25500 = O. (d) Solve the equa ti on in (c) and use it to find the numbe r of kg of rice that co uld (I] [11 [3] he bought in Se ptember 20 I I. [31 4 An swer the whole of t his que stion on " sh eet of graph paper. The variables x an d y are connected by the equ ation y =4 - 2x I x 2 S vme corresponding va lu es of.< and y arc give n in th e fo llowin g tabl e. (a) Find the val ue u[p. (h) Using 2 cm to represent I unit on the x-ax is and I cm to r eprese nt l unit 0 11 the y-aitis, draw the graph of y = 4 - 2x + x 1 fo r - 3 S: x $ 4. On your axes, plot the points given in the t ab le and join th em with a smooth curve. (c) From I.he graph, (i) find the minimum value of the curve . (ii) write down the equation of the line of symmetry. (iii} tind the two so lutio ns or 4 - 2x+x 2 =8 . (d) (i) On the same axes, draw the grap h of y = x + 4 . (ii} Henc e, write down the coordin ates of the points when y = x + 4 intersects y = 4 -2x+ x'. CC HMS Serl Express l:.rul -Of-Year Exuminmion 101 I (11 [31 ri J (I] (2] [I] (2] 3
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5 The object below consists of a s olid cylinder with a solid conical top and a hollow hemispherical base. The conical top has a ve1tical height of 8 cm and a slant height of 10 cm. The cylinder has a height of 12 cm and ·the hemispherical base !tas a radius of r cm. (a) Show that the value ofr is 6. [2] 6 (b) Find the volume oftbe object in terms offf . [4] (a) (c) -- Find the total surface area of the object in t.erms of ;r. The description of set A and set Bare given below: A = {x: xis art integer s uch that x 2 <IO} B = {x: - 5 < x < 4 and xis a natural number) List the clements contained in each of the sets above. (b) It is given that: c = {l,2,3,4,5,6, 7,8,9,10} E = {2,4,6,8} S = {I. 4, 9} (i) Draw a clearly labelled Venn diagram to illustrnte the relationship [4] [2] between 1:, £and S. [2 J (ii) List the elements contained in Eu S. (iii) Find n(E' n S). (c) In a survey, JOO children were asked to name their colour preferences. The following results were obtained : 61 prefeffed Blue, 55 prefeffed Red and 7 did not prefer both Blue and Red. (i) Let R be the set of children who prefer Red and B be the set of children who prefer Blue, draw a clearly labelled Venn diagram to represent the above infom1ation. (ii) If a child is selected randomly from the above , what is the probability of selectu1g one who likes Red only. - - End of Paper- - l ( J 111 [2) [I] CCI/MS Sec 2 E."f>rc.<s End-Of-Yeor £xami1101io11 1011 4
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j Na me :_ _ _ I Class: I Class Register No: lV ~ "' ii ----'-- ~ - 50 CHUN G C HENG HIGH SC HOOL {MAIN) Parent'-s - Signature Chung Cheog H"igh School Chung Chong High Sc:l\ool Chung Cheng High SchOOI Chung Cheng High Sd'lool . Chung Cheog Higll School Chung Cheng High Sc:l\ool Chung Cheng High School Chung ~ Hig11 SchOol .. Chung Cheng High $diool Chung Chong High School Chung Cheng High School C hu l)lj Ch~ !i'9h Sctioo' ·Chung Cheng High Sch ool Chung Che ng High School Chung Cheng High SchOol C~ung Cheng H"igh Schoof END OF YEAR EX AMINA TION 20
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