I. What is the value of the digit 3 in the ·· · · • 'riu1~h~r324:1:1 , (0) 2:. ~ J (A) (D) (C) (r s. JO (A) .300 3 000 ,.. is the same 4 - 6 (D) 4 3 (C) - a - 0. 7 5 wriuen.as conimqn fraction is (A) 2 (C) (U) (D) 6. 3 If P = (2,3,5,7) Q = ( 2,3,6) nnd S = (2,4,5). .... 7 8 then scq~1ence. I, 6, 13, 22, 33 the next ... · tcrrn is ' (A) (D) CC> (D) (A) (13) (C) (D) P" S = Q " .. ( ) l 2 ) (2,) l (2, ), 4, 5, 6, 7) 44 .rs 7. ·16 52 P' I' 8. Q' Q Wi1at trahsfonnation maps 6 PQR onto D. P'Q'/\'? Translation Rencction l{olation Enlargcmcnl Which of the following sets is cquivalcn1 lo (a, b. c, cl)'! (A) (B) (C) (0) 4. (A) ( 13) (C) (D) 9 2 .; · 1·;, the 9 4 4 I (ll) ~s ( ~ ) (11. b, c) (p, q, r, s) (I, 2, 3, 4, 5) The product of a nun1bcr p and its reciproca I may be wri llcn as (A) r' x (D) r' x -p (C) p x-p (D) r x r p 9. IU. 11. 2"' x Ja = 15. (A) Sa' (Bl 6t! 2 (C) (0) Ga' 12a' If a= 4, and u = J. Then (-a)"= (A) -8 I (D) -64 (C) (D) -12 +12 5x - 2y - Jx + 2y = (A)' (D) (C) (D) hi the figure above, the shaded area can be rcprcscnlcd by 2x Bx 2x c. 4y Bx+ 4y (A) (U) (C) (0) 12. A boy scored 60% in a test. If the maximum mark possible: wns 80, how many marks did he score eon the lest? .(A)· 13. 16. 4B (C) (D) 60 75 . (A) I Sx + 12 = J (A) (Bl (C) (D) (D) 17x 15x+4 .5x + 12 5x + 4 (C) 14. (a-b)'= . •: (A) ( 13) (C) (D) a' - b' a.2 + b' a' - 2ab - b" e1' - 2ab + Ii' s x x y y s - 2) ;,, - 2) s -21 ;,, -21 Whic,1 of_ these drawings rcpresems a sqi1are 1iyra111id? 20 (D) (-3 ( - 3 ;,, (- J s ( - 3 ;:: {DJ How many kilograms are there in one tonne? 17. ··.·.·. (A) (B) -(C) . (D) 22. ... Which of the following is a subse_t .. of { I, 2, 3 f7 . , 10 100 (A) I 000 (B) 10000 .<C:> .·. (D) "How a housewife divides her budget:" Which of the following best displays the answer? 18. (A) Bar chart· 1 (B') · ·· •'His!ogtam (C) Line graph (D) Pie c;h~rt; :·. 19. . ( 1..3) (0, ·3) (~. 4) (l,'2,3,4) liem 23 refers to the figure below which shows the.number ofleaves on rose-stems . ... . .. . . . . .. .. . . .. ·1+···++H· · · ~ In a class of no· students; 100 are·gitls. Whal is the probabilil.Y Iha! a student chosen' at random is a boy? . 1 (A) 6 (B) -51 (C). - Number 1 2 5 (D) 20. 21. -6 An article bought for $125 was sold for $175. The percentage profit was (A) (ll) 28.6 40 (Cl 50 (C) 71.4 299.4 x 0.05 is approximately (A) (ll) (C) CD) 0.15 1.5 IS 150 23. or leaves The tot"l number of rose-stems is (A) (ll) (C) (D) 36 40 100 110 ·· · · · 26. 24. Tom bought a pen for $60and sold il lo gain 20% on his cost price. How much money did he guin'I · y (A) (B) Sl2 S40 (Cj $72 (D) $80 2 I x -1 27. -2 · When the sum of x and 6 is multiplied by 2 and the resull added to 3, the answer is 5. The slalemcnl above may be wrillen as (A) (B) (C) The diagram abo\le shows a graph of y = x(x -. 2). The·.1ninimum poinl is (D) 2x+6+3=5 .. +G(6x2)+3=5 6xx·2+3=5 · 2(x +· 6) + 3 = 5 (0, 0) .· ' cz:or..,-.< · ''"(l • l)•'.•V· . : . ,, . ', .. ~... (I, -JL· .: . . ·.: ' . 28. If x is:an mlcgcr whii:h salislics lhe inequalities ·. 4 < x -2 < 8, lhcn x may be :·;. /"• 25; (A) (B) (C) (D) A 4 5 6 7 29. x AOB is a sector of a circle _such lhal angle AOB=60°and0Bisrunilslong. The area of AOB is -4 2 5-·<-----J.-8 H- (A) y II ..L Ttr II 14 6 (B) l Ttr 3 (C) (D) I I I 3 nr !.. nr 6 The arrow diagram above shows a function. Which of lhe following BEST describes lhc function? (A) (B) (C) (D) I: x __. y y=x x=y +3 y =x + 3 .. , .. JO. · In which of the following a_rc the fractions . . ··- arraug.ed· from the smallest to the greatest? {A) 5 {~2 • -5I ) (1::1) (G)-- (D) I /f · -. 4" 1~5. { 5 I I - - 4 3 )' 4 -3 2 c111'. } } In lhe figure above, x = ' 34. ADCD is a rcclanglc. The points P, Q. fl and S arc midpoints of the sides llD, BC, CD and 011 respectively. The two axes of symmetry are (A) 9 cm (D) .j75 Clll (C) 10 cm (D) .J12s cm Which of the following is NOT a quadrilateral? .. Square Pentagon . Parallelogram Rhombus (A) (B) (C) c and no (D) PR and SQ II C and PR SQ and DD JS. CC) T l' (0)". '; 36. s Q In lhe diagram, PT is parallel lo QS, and . nrea of t1 TQS Qll =RS. Then lI1c ral10 • area d /'QR or IS I: I (0) 2: I J: I 4: I (C) (l)J 2.3 x 10 2.J x 10' · 7.2 X• IO 7.2 x IO' ,· Mr Jones paid a fixed charge of $12.50 plus 55 cents for.each Kwh of clectrici1y used. How much did he pay for using 7_5 Kwh of ~lectriCity? (A) .$ 13.80 (D)i • $ 41.25 $ 53.75 $142.50 (Cl (D) (A) is approximately Js20 (A) (B) Item 32refers10 lhe diagram below. 32. c.-... ·. } c 11 . 8 31. (A) (D) (C) (D) ·-· .·6 l· 2 4· . 33. 37. During a sale a discount or 15% was gi YCll . off the marked price or a chair. Ir !he marked price was $115.00, then the sale price was 42. .:::-~.+l-·~-·-...1-·-----~t--•t---7 •..· ... -3 -2 -1 0 . (A) (D) (C) (D) 38. .$ 97.15 ·$ I00.00 $130.QO $132.25 (A) (U) (C) (D) . CC) (0) .. 3 I The graph or the inequality in the diagram abovds de lined by · The exact value or 2.;. \0.01) is (A) (B) l 0.002 0.02 200 2000 -2 <x.< 2 -2 < .< s 2 -2 x s2 -2 s x < 2 s 43. Hem 6 c111 . · 6 c1n 39. The width of a rectangular block of wood is .rcentimetres. trils height is two-thirds its width and its leuglh is 4 times ils heigh!, then its volume. in cubic centimetres is Wha~ i~.lhl' perimeter or the shape ~~ovc? (A) (0) 40. 2•1 cri1 16.c J . (D) (C) 9. (0) 26 cm 28cm 48 cm Sx' 3 (D) -l7x 3 44. A car was bought for $10 000 in January 1997. Ir the <:nr depreciates by 10% every year, what was its worth in January 2000? $3 000 $7 290 $8 000 $9 000 (U) (C) (D) $ 375 $ 500 .'S 1 500 $4 500 Tkc set (x : 6 integer) is s x < 10, where.< is an (A) (D) (6.7.8.9) (6. 7. 8. 9. 101 (C) (7, 8, 9) (7,8,9, 10) (I)) ,. The simple interest on $15 000 for three months al 10% per annum is (A) ' > (A) (C) (A) (13) (C) (D) 41. ,... 8.c 9 , .. · 47. 45. 0 Jerry takes 16. minutes to drive to his . workplace which is 24 km away from his home; .His speed in km per himr is (A) 16 . I -x24 60 (B) 24· 16 -x60 . l {C) 16 60 -x24 1 {0) 24 60 -x. 16 . r 32 cm Iii the figure above; not drnwn to·scnle, 0 is the centre oflhe circle, AD is a chord and OM is perpendicular to AD. If OD= 20cm nnd . AB = J2 cm, then OM= . (A) Bern (B) 10 cm 12cm 16 cm (C) (D) 48. (A) (D) (C) Item 46 refers to the., following diagram. x '• (D) 49. 46. The diagram above shows a regular hci<agon inscribed in a circle. The distance between X and l' along the arc is Each exterior angle of a regular polygon measures 45°. How many sides has the polygon?. 50. 4 6 8 10 If (P - J) is the largest of four odd numbers, then lhc smallest is CA) P- ll (8) (C) (0) P-9 P+3 /' +5 An article costs $161. lfa profit of I 3% is to be made when selling, the selling price, in dollars, is (A) nR 3 (A) 161 (1 + &) (D) -- 1.nU (0) IJ (1 + :~) (C) 161(13+.&-) (D) n(161+m,) (C) (D) ) nR 2 3 2nfl 3 2 SI. A company employs 12 gardeners at $'.!6 per day, and 8 clerks al S 17 per day. What is the mean daily wage, in dollars, of the 20 · employees7 .. .,., (A) {B) (C) $20.00 .$21.50 (D) .$31.50 54. Homework Reading T.V $22.40 Items 52 - 53 refer to the table below. The diagram above shows how a pupil spends the time between 8 a.m. and 8 p.m. on Saturdays. A die is thrown and the scores recorded as shown. How many hours,does he spe!ld_ on T.V.? Score· I 3 2 4. 5 6 {A). Frequency. 2 I 3 6 5 (B)' 3 (C) (0) 52. ·2· ·3: 4 6 The median score is c 55. (A) (B) (C) (D) 53. 3. 4 5 5 cru 6 The mean score is (Al 3.7 (B) (C) (D) 4 l l cm A 8 111 triangle AOC above. AD = 12 cm, AC·= ·13 cm, DC= 5 cm. Whal is tan C! 5 13.3 (A) .... 5 13 cny·•· -1213 (C) (0) 12 5 13 5 l!cms 56 am! 57 refer to the graph below. .. H. tt· :t .j::i.~~1: f:IJt1. :_v:·1- ltJ.I i:l I ·1 . :ti:r l ! f-t t ;·1.1: 58. A ~I- : I l'1 ' I , 1'_ - - J .. . . ~. . 2- .. -· I - ·:: .. RfnWr.17.-.. ·.1:!ff.:t:J:t_+t.>I - .. - .. .. : r ::· I· In the parallelogram ABCD above. AB = 5. cm, BC = 4 cm and angle ABC = 56°. Whal is the area of 1he parallelogram ABCD? ... .. ~~" ~1·I ' : .~ : .~: :,'. . :~ .:. •: •' .:~. • [:l ,-_1_ J_ ;-ij:l-J -~ . . . . '.: : : _1 : J : : 4 ::1 'j. :: -~ , 1:, . . . t l:, . . . . . . . . . -... '" I : ' : [JlI l .j:· .j::fl ..... 1:r.; . . . . I 1 .•• + ::r• . .1 (A) . {D) ::;:: · -lj:. I ,. . .. (C) -(D) Which or lhe following represents the equation or lhe graph above? (A) (D) (C) (0) 57. B ti .tt · · ·'·'" ..11. ·l't · 1:f ~i..[ ..'./1~l i·. r.1· 11 ttr:r-,J .L;. ·('1!:1 i·/ . .,.rr pi: .Lt'~: t:· .{. , ,.•. ~ , t .. 4 " I ""·I "' J H' ,., ... · fl.·l ' "'"'.~I ' :· ·'l.· ·-'l· ·t·· · : . ·l il J · "l • :rr ·1. ·J 1. ·ti-,·•·+· .• . :~+ 56. Scm (C) {t:l) 59. . fix) = 3 + 2< - x' flxJ=.< 1 ~2< -3 fix) = .1>' + 2t - 3 fix) = 3 - 2x - .< 1 The values or x for whichj{x) = 0 arc (A) {D) 5 sin 56° cm' 5 cos $6~ cm'. 20 sin. 56° cm' 10 cos 56° cm' :c = 3 and x = 4 x = I and x = 4 x=-1 andx=3 x = 0 and x = 3 ln°1he figure above, 0 is lhe centre of lhe circle. Angle PQR is (A) (ll) (C) . 11 • 90° IJS• (0) 1so· ' .. •• 60. The poinl 1\ is shown 011 lhcd i:igram abov c. Whal an: lhe co-ordinalesorthe image of 1\ under rc!lcclion in lhc_v-a><is'I (A) (IJ) (C) (D) (-4, J) (4, -J) (J. _,,) (-J, 4)