1 Find the volume of each solid, correct to one decimal place where necessary. 12 cm 14 m. 25 mm. p c 5 ffiffiffi

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1 1 Find the volume of eh solid, orret to one deiml le where neessry. 8 m 6 m m 14 m 65 m 2 2 m d 7.6 mm 2 m 4 m 4 m 7 m 25 mm Stge 5.3 See Chter 1 See Chter 7 See Chter 9 See Chter 9 See Chter 13 2 Simlify eh exression. ffiffiffiffiffiffiffi 5 7 ffiffi ffiffiffiffiffi 3 þ 5 5 ffiffiffi Mke t the sujet of the formul k ¼ my 1 2 mt2. ffiffiffi 7 d 9 ffiffiffiffiffi 56 ffiffiffi 7 4 This dot lot shows the rojet results (out of 10) for Yer 9 lss. How mny students were in the lss? Find: i the rnge ii the mode iii the men, orret to iv the medin one deiml le Mrks Whih of the sores n e onsidered s n outlier? d Are there ny lusters? 5 Clssify eh tye of dt s tegoril (C), quntittive disrete (QD) or quntittive ontinuous (QC). numer of txis on the rod rting of film (1 str to 5 strs) weights of ies in mternity wrd d rnds of TVs 6 The digonls of the qudrilterl ABCD iset eh other. D C Prove tht ndtc nbta. Hene rove tht DC AB. T A B 556

2 7 A survey ws held to find whether smle of 30 Austrlins hd trvelled to Jn or Vietnm. The results re shown elow: Jn 9 Vietnm 18 Jn nd Vietnm 5 Coy nd omlete the Venn digrm to show this informtion. Wht is the roility tht erson hosen t rndom from this smle: i hs not een to either ountry? ii hs een to Jn or Vietnm ut not oth? iii hs een to Vietnm ut not Jn? 8 Convert: 40 m/s to km/h 10 g/s to kg/min Jn 9 Find the eqution of this line. y Vietnm See Chter See Chter 2 See Chter x Jotik erns slry of $ How muh (orret to the nerest ent) did she ern: er week? er month? 11 In nlkm, \M ¼ 90, MK ¼ 6 m nd KL ¼ 9m. Sketh digrm of nlkm. Find the length of ML orret to two deiml les. Ftorise eh exression. y 2 4y þ 2y 8 m 2 8m þ 15 5m Find eh shded re, orret to one deiml le. See Chter 8 See Chter 4 Stge 5.3 See Chter 3 9 m 7 m 10 m 2 m 557

3 See Chter 8 Stge 5.3 See Chter 5 See Chter 5 See Chter 9 See Chter 3 14 George erns $21.45 er hour. How muh does he ern for working 38 hours t norml rtes nd 6 hours t time-nd--hlf? 15 Wht is the vlue of 8 5 3? Selet the orret nswer A, B, C or D. A 13 1 B 32 C Simlify eh exression. k 7 3 k 5 d 10 4 d q 3 5q 3 d 20hk 5 4 5hk e 2r 3 f Comlete frequeny tle for this dt, inluding fx olumn. D Find the men of this dt. Show this dt in frequeny histogrm nd olygon. d Find the mode. e Find the medin. 18 Exnd eh exression. 3(1 2y) x(2x 7) 4m(1 m) d (5x þ 7)(x 4) Stge 5.3 See Chter 7 See Chter 6 19 Simlify eh exression. 5 3 ð16xþ Wht re the vlues of m nd in this digrm? Selet the orret nswer A, B, C or D. ffiffiffiffiffiffiffiffiffi d r 2 3 A m ¼ 110, ¼ 70 B m ¼ 5, ¼ 70 C m ¼ 110, ¼ 55 D m ¼ 5, ¼ 55 m 21 For the qudrilterl LMNP, lulte its: erimeter orret to two deiml les re L M 5 P N 558

4 22 The numer of gols sored y Dmien s hokey tem in 18 gmes were: See Chter 9 If 5 gols were sored in the tenth gme, whih sttistil mesure will not hnge? Selet the orret nswer A, B, C or D. A the rnge B the men C the medin D the mode 23 Thli is id weekly ommission of 4.3% on the vlue of her sles of erfume over $1500. Clulte her ommission if her sles during one week totlled $ Ftorise eh exression. 2y þ þ 2 25 Find, orret to two deiml les, the vlue of eh ronumerl. See Chter 8 See Chter 3 See Chter k m d 26 Romesh uys r for $ nd sells it for $5200 two yers lter. Clulte the erentge loss orret to one deiml le. 27 Find the vlue of eh ronumerl. See Chter 2 See Chter 6 55 m 3e 7k Wht is the eqution of the horizontl line tht sses through the oint ( 2, 5)? 29 For the intervl joining the oints (5, 3) nd ( 4, 2), find: the midoint the length in ext form the grdient 30 The sle of ln is 1 : Wht distne in entimetres on the ln would reresent rel distne of 50 m? See Chter 11 See Chter 11 See Chter

5 See Chter 6 See Chter 9 31 Nme the most generl she tht mthes eh desrition. A qudrilterl with equl digonls. A tringle with three equl sides. A qudrilterl with oosite sides equl nd two xes of symmetry. d A tringle with two equl ngles. 32 The medin of the dt shown in this stem-nd-lef lot is 154. Stem Lef Wht is the missing vlue shown y h? Find the rnge Desrie the she of the distriution h See Chter Whih similrity test n e used to rove tht the two tringles re similr? Find the vlue of k k See Chter 11 See Chter 2 See Chter 2 See Chter Grh eh eqution on different numer lne. i y ¼ 2x 1 ii y ¼ x 2 þ 3 iii x 2 þ y 2 ¼ 4 Wht is the grdient nd y-interet of the grh of y ¼ 2x 1? Wht re the oordintes of the vertex of the grh of y ¼ x 2 þ 3? 35 Clulte the simle interest on $8750 invested t 5.5% for 4 yers. 36 The ost of noteook omuter, inluding 10% GST, is $968. Wht is the mount of the GST? 37 Whih of the following oints lie on the line y ¼ 2x 5? Selet the orret nswer A, B, C or D. A (0, 3) B (1, 3) C ( 3, 0) D ( 3, 1) 38 Find the surfe re of eh solid, orret to three signifint figures where neessry. All mesurements re in entimetres

6 39 Solve eh eqution. m 2 m ¼ 3 3k 1 ¼ 2k þ 1 4(3y 1) þ 6 ¼ 2(2y þ 7) d 3x 2 ¼ 27 e 6( x) ¼ 48 f 3 8 ¼ Exress eh numer in sientifi nottion Evlute eh exression in sientifi nottion orret to two signifint figures. ( ) 2 9: : A die ws reetedly rolled nd the results re shown in this tle. Outome Frequeny Find, orret to two deiml les, the exerimentl roility of rolling: i 1 ii 4 iii n even numer iv numer less thn 5 v neither 2 nor 6. Bsed on the theoretil roility, wht is the exeted frequeny of rolling numer less thn 5? How does the tul frequeny omre with the exeted frequeny? 43 Find the vlue of y orret to the nerest minute. θ θ θ 24 See Chter 7 See Chter 5 See Chter 5 See Chter See Chter 4 44 Wht is the ngle sum of regulr otgon? Wht is the size of one ngle in regulr otgon? Wht is the size of one exterior ngle in regulr otgon? d Wht is the sum of the exterior ngles of ny olygon? See Chter 6 561