*GMT62* *20GMT6201* Mathematics. Unit T6 Paper 2 (With calculator) Higher Tier [GMT62] MONDAY 11 JUNE 3.00 pm 4.15 pm. 1 hour 15 minutes.

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1 entre Numer ndidte Numer Mtemtis Generl ertifite Seondry Edution 0 Unit T6 Pper (Wit lultor) Higer Tier [GMT6] MONDAY JUNE 3.00 pm4.5 pm *GMT6* *GMT6* TIME our 5 minutes. INSTRUTIONS TO ANDIDATES Write your entre Numer nd ndidte Numer in te spes provided t te top tis pge. Write your nswers in te spes provided in te question pper. omplete in lue or lk ink only. Do not write in penil or wit gel pen. Answer ll tirteen questions. Any working sould e lerly sown in te spes provided e mrks my e wrded for prtilly orret. You my use lultor for tis pper. INFORMATION FOR ANDIDATES Te totl mrk for tis pper is 50. Figures in rkets printed down te rigt-nd side pges indite te mrks wrded to e question or prt question. Funtionl Elements will e ssessed in tis pper. Qulity written ommunition will e ssessed in questions nd 5. You sould ve lultor, ruler, ompsses nd protrtor. Te Formul Seet is on pge. 74 *0GMT60* *0GMT60*

2 Formul Formul Formul Formul Formul Formul Formul Formul Formul Seet Seet Formul Seet Formul Formul Seet Seet Formul Formul Seet Seet rossross + ) trpezium trpezium ( + ( ) ross ross ross + trpezium trpezium prism prism ) (+ + +( )+)) trpezium ( ) trpezium trpezium ( + ( ) ross ross trpezium prism ( trpezium trpezium ( prism prism + ( )+ ) (+ trpezium ( + ) ) trpezium trpezium prism prism ( )+ ) trpezium ( + B BB B A A AA A A A B B B Surfe Surfe Surfe Surfe 4πr 4πr 4πr 4πr Surfe Surfe 4πr 4πr l l l r r r r r r r 0,0,re re 0,given re given yy y given 0, re 0,given re given y y 0, re 0, given re given y y Qudrti Qudrti Eqution Eqution Qudrti Eqution Qudrti Qudrti Eqution Eqution xx Qudrti Qudrti Eqution Te Te Eqution x x xx x x Te Te Te xx 0 0 xx Te Te 0,given x x 0 0 0, re re given y y given 0,0, re re 0,given re given yy y 0, re 0,given re given y y ± ± x x x± ±± 4 x x ± ± 4 4 over over x x over over over over over πr πr πr πr πr 34 πr πr 33 Surfe Surfe 4πr 4πr Surfe 4πr Surfe Surfe 4πr 4πr Surfe Surfe 4πr 4πr Surfe 4πr l l l l r r r r r r r prism prism prism prism prism prism prism one one3 πr 3πr πr one πr one one3 πr 3 3 πr one one3 πr 3 urved urved surfe surfe one one πrl πrl InInny In tringle ny tringle AB AB urved surfe one urved surfe one urved surfe one πrlπrlπrl ny tringle AB In ny In tringle ny tringle AB AB urved urved surfe surfe one one πrl πrl In ny In tringle ny tringle ABAB tringle tringle tringle tringle tringle tringle tringle rule :rule rule : :: A rule :rule AB B rule :rule : B A B A A B A B B A oe oe rule: rule: os Aos A Formu oe rule: os A Formul oe oe rule: rule: + + os Aos AFormul oe oe rule:rule: + + os Aos Formul A Formu Formul Formu trpezium trpezium ( + ( ) + ) + trpezium ) trpezium trpezium ( + ( ) + ) ( trpezium trpezium ( + )+ ) ( Surfe Surfe AB Surfe Surfe Surfe InIn ny In tringle ny tringle AB Surfe Surfe ny tringle AB In ny In tringle ny tringle AB AB In ny In tringle ny tringle AB AB πr one one 3 πr πr 3 πr one one one 3 πr 3 one one 3 πr 33πr urved urved surfe surfe one one πrlπrl πrl urved surfe one urved urved surfe surfe one one πrl πrl urved urved surfe surfe one one πrl πrl l l l l l l l Qudrti Qudrti eqution: eqution: prism prism Qudrti eqution: Qudrti Qudrti eqution: eqution: prism prism prism Qudrti Qudrti eqution: eqution: prism Aprism A B B A++ B 0, 0, Ax Ax B+ B x Te Te x + 0, 0, A+x Ax B 0,0, 0, Te x + B+ 0,0, Te Te x ++ 0, +x x Te Te x +x x + + x + 0, 0, 0, 0, os oe oe Aos os A A 4 os Aos A oe ±oe ±oe ± 4 4 oe oe os A os A x x ± ± 4 4 In ny In tringle ny tringle AB AB x xin AB x ± Inny ±ny tringle In 4tringle tringle 4 AB ny AB x x In ny ny ABAB tringle In tringle tringle tringle tringle tringle tringle tringle over over over tringle tringle tringle tringle over over tringle tringle tringle tringle over over *0GMT60* *0GMT60*

3 Answer ll questions. Exminer Only Mrks Remrk 75 grms flour nd 35 millilitres milk re needed to mke isuits. () How mu flour is needed to mke 30 isuits? Answer grms [] () How mny isuits n e mde wit 75 grms flour, provided tere is enoug milk? Answer isuits [] () A numer isuits re mde ug 300 grms flour. How mu milk is needed? Answer millilitres [] Totl Question 74 over *0GMT603* *0GMT603*

4 Qulity written ommunition will e ssessed in tis question. () Mke y te sujet in te following eqution nd simplify te nswer. Exminer Only Mrks Remrk 5x 7 5 y Answer y [] () Wi te sttements elow desries te numer 3n, n represents ny wole numer? Explin your nswer. lwys even lwys odd ould e even or odd Answer euse [] Totl Question 74 *0GMT604* *0GMT604*

5 3 In gme squre, tringle, exgon or str will pper on te sreen. Some proilities te spes ppering re reorded in te tle. Exminer Only Mrks Remrk Spe Proility () Wt is te proility te exgon ppering? Answer [] () If I ply te gme 60 times, ow mny times sould I expet te tringle to pper? Answer [] Totl Question 3 74 over *0GMT605* *0GMT605*

6 4 Bo drove to te DIY store from is ome. He ougt some deorting mterils nd ten returned ome. Exminer Only Mrks Remrk Te distnetime grp elow sows is journey. 8 7 Distne from ome (km) Time dy () By looking t te grp, ow n you tell tt te verge speed going to te store ws greter tn te verge speed oming from te store? Answer [] () Work out Bo s verge speed on is journey to te store. Give your nswer in kilometres per our. Answer km/ [] 74 *0GMT606* *0GMT606*

7 () Bo s wife left ome t 4.30 nd drove to te sme store to meet Bo. Se drove t n verge speed 4 km/. Exminer Only Mrks Remrk Drw grp er journey on te distnetime grp opposite. [] (d) How fr from te store ws Bo s wife t 4.4? Answer km [] Totl Question 4 74 over *0GMT607* *0GMT607*

8 Qulity written ommunition will e ssessed in tis question. Exminer Only Mrks Remrk 5 Jennifer knows te proility getting wen fir die is trown is 6 Se lso knows te proility getting prime numer wen fir die is trown is Se onludes ten, tt te proility getting or prime numer on one trow fir die is: Is Jennifer orret in er onlusion? Explin your nswer. Answer euse [] Totl Question 5 74 *0GMT608* *0GMT608*

9 6 y Exminer Only Mrks Remrk A x () Drw te imge tringle A fter trnsltion 6. Lel it B. [] () Drw te imge tringle A fter rottion 90 lokwise out te point (, 0). Lel it. [] Totl Question 6 74 over *0GMT609* *0GMT609*

10 7 () Simplify: Exminer Only Mrks Remrk (i) 4 4 Answer [] (ii) 5 Answer [] (iii) Answer [] () Solve 8x 6 3x Answer [] Totl Question 7 74 *0GMT60* *0GMT60*

11 8 Find te totl surfe solid ylindril rolling pin wit rdius 3 m nd 40 m. Exminer Only Mrks Remrk Give your nswer to n pproprite degree ury. Answer m [4] Totl Question 8 74 over *0GMT6* *0GMT6*

12 9 E letter,,, nd d, represents. omplete te tle elow inditing weter te expressions ould represent,, volume or none tese. Exminer Only Mrks Remrk 4 π π( d) [3] Totl Question 9 74 *0GMT6* *0GMT6*

13 0 In Mr te proility dry dy is 7 0 Exminer Only Mrks Remrk If it is dry, te proility tt I go for wlk is 3 5 If it is wet, te proility tt I go for wlk is 5 () omplete te tree digrm to sow ll te proilities Wlk 7 0 Dry No wlk Wet Wlk No wlk [] () lulte te proility tt I go for wlk on dy in Mr. Answer [3] Totl Question 0 74 over *0GMT63* *0GMT63*

14 Simplify x 5 y Exminer Only Mrks Remrk Answer [] Totl Question 74 *0GMT64* *0GMT64*

15 In gme, drt is dropped t rndom onto squre ord wi s irle insried in it s sown. Exminer Only Mrks Remrk Find te proility tt te drt lnds on te sded. Leve your nswer in terms π. Answer [4] Totl Question 74 over *0GMT65* *0GMT65*

16 3 Te digrm elow sows setor irle rdius 0 m. Prt tis setor is sded leving unsded setor irle rdius x. Te ngle A is 80. Exminer Only Mrks Remrk Te sded BDE is twie te unsded ABE. lulte te rdius x te smll setor. x B Digrm not drwn urtely A 80 0 m E D Sow your working. Answer x m [5] THIS IS THE END OF THE QUESTION PAPER Totl Question 3 74 *0GMT66* *0GMT66*

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20 DO NOT WRITE ON THIS PAGE For Exminer s use only Question Numer QW Totl Mrks Mrks Exminer Numer Permission to reprodue ll opyrigt mteril s een pplied for. In some ses, efforts to ontt opyrigt olders my ve een unsuessful nd EA will e ppy to retify ny omissions knowledgement in future if notified. 74 *0GMT60* *0GMT60*