MATHEMATICAL LITERACY

Transcription

1 MATBUS NOVEMBER 2013 EXAMINATION DATE: 8 NOVEMBER 2013 TIME: 14H00 16H00 TOTAL: 100 MARKS DURATION: 2 HOURS PASS MARK: 40% (UC-02) MATHEMATICAL LITERACY THIS EXAMINATION PAPER CONSISTS OF 11 QUESTIONS: ANSWER ALL THE QUESTIONS (100 MARKS) INSTRUCTIONS: 1. Read the fllwg structs carefully befre aswerg the aer, as falure t act u them wll result a lss f marks. 2. Wrte yur aswers yur aswer bk, whch s rvded the eam. 3. Esure that yur ame ad studet umber are clearly dcated yur aswer bk. 4. Wrte yur aswers ether blue r black k yur aswer bk. 5. Read each uest very carefully befre yu aswer t ad umber yur aswers eactly as the uests are umbered. 6. Beg wth the uest fr whch yu thk yu wll get the best marks. 7. Nte the mark allcats fr each uest gve eugh facts t ear the marks allcated. D't waste tme by gvg mre frmat tha reured. 8. Yu are welcme t use dagrams t llustrate yur aswers. 9. Please wrte eatly we cat mark llegble hadwrtg. 10. Ay studet caught cheatg wll have hs r her eamat aer ad tes cfscated. The Cllege wll take dsclary measures t rtect the tegrty f these eamats. 11. If there s smethg wrg wth r mssg frm yur eam aer r yur aswer bk, lease frm yur vglatr mmedately. If yu d t frm yur vglatr abut a rblem, the Cllege wll t be able t rectfy t afterwards, ad yur marks cat be adjusted t allw fr the rblem. 12. Ths aer may be remved frm the eamat hall after the eamat has take lace. NOTE: A FORMULAE SHEET AND 'THE WORLD CLOCK - TIME ZONES, ARE ATTACHED AT THE END OF THE QUESTION PAPER FOR YOUR INFORMATION. YOU MAY USE A NON-PROGRAMMABLE CALCULATOR. YOU MUST SHOW YOUR WORKING STEPS. DAMELIN CORRESPONDENCE COLLEGE NOVEMBER 2013 PAGE 1 OF 9

2 ANSWER ALL THE QUESTIONS (100 MARKS) QUESTION 1 Name tw methds that ca be used terretve research. (2) (c) (d) Why wuld a researcher refer the survey methd the fllwg scear? The researcher wats t study user rfles f Facebk users Suth Afrca. A reresetatve samle f Facebk users was selected. (4) Researchers d t always use smle radm samlg. They may refer systematc samlg. Ela wth a ractcal eamle hw systematc samlg s de. (2) Defe the term hythess as used statstcs. Gve a eamle f a hythess. (2) [10] QUESTION 2 The fuel eedture f sales res fr a surace cmay was recrded fr the last week: Cstruct a freuecy table fr weekly fuel eedture. Ht: use class wdth = 100. (5) Whch tye f grah wll yu use t rereset the fllwg tyes f frmat? the fuel rce fr the last 12 mths (1) favurte TV chaels Suth Afrca (1) dfferet ercetages f males ad females studyg statstcs ver the last 5 years (1) DAMELIN CORRESPONDENCE COLLEGE NOVEMBER 2013 PAGE 2 OF 9

3 (c) Name the statstcal ccet llustrated the grah abve. (1) What ca yu cclude frm the grah. (1) [10] QUESTION 3 Fd the mea ad the stadard devat fr the fllwg data: Age Freuecy (8) Peter has tw favurte jeas ad fur favurte T-shrts. He wats t wear hs favurtes hs frst date wth Nazeema: Sky jeas Baggy jeas Blue T Red T Purle T Gree T Sky & Sky & Sky & Sky & Blue T Red T Purle T Gree T Baggy & Baggy & Baggy & Baggy & Blue T Red T Purle T Gree T Use the grd f ttal ssbltes t determe the rbablty f Peter: wearg hs sky jeas. (1) wearg hs urle T-shrt. (1) wearg hs urle T-shrt wth hs sky jeas. (1) v wearg hs urle T-shrt r hs sky jeas. (1) DAMELIN CORRESPONDENCE COLLEGE NOVEMBER 2013 PAGE 3 OF 9

4 (c) Nazeema has 36 ars f shes: 22 ars f hgh heels, 8 ars f bts ad 6 ars f ums. Determe the rbablty that her frst date wth Peter she wll wear: hgh heels. (1) ums r bts. (1) t wear ums. (1) [15] QUESTION 4 Defe the atal budget. (1) What are the ctets f the atal budget? (4) Calculate the Paasche rce de fr the fllwg data ad terret yur results: Prduct Prce Quatty A B C (5) [10] QUESTION 5 Dscuss the ecmc ccet f balace f aymet. (3) Name tw ways whch the gvermet ca crrect a balace f aymet defct. (2) [5] QUESTION 6 The ma am f taat s t rase mey t ay fr gvermet sedg. Dscuss fve rcles that shuld be art f taat. [5] QUESTION 7 T herted R frm hs late gradfather. If he vests hs hertace at 4,5% er aum (smle terest) fr 5 years, hw much terest wll he ear? (2) If he vests hs hertace at the same terest rate ad fr the same erd cmuded aually, hw much terest wll he ear? (3) [5] DAMELIN CORRESPONDENCE COLLEGE NOVEMBER 2013 PAGE 4 OF 9

5 QUESTION 8 Name the essetal arts f a useful system f measuremet. (4) Name e devce whch ca be used where accurate measuremet s reured. (1) Charé s gg her frst camg hlday. She wats t ut u her tet. The le at the back f the tet s 1,2 meters hgh. A re wth a fed legth f 2 meters s attached t the t f the le. Hw far frm the le must she lat the hk (tet eg) that wll hld the ther sde f the re? (5) [10] QUESTION 9 Use the attached Wrld Clck tme zes t determe the tme Adelade f t s 2:00 m Jhaesburg. (1) If a ta travels 250 km 2,5 hurs fd the average seed. (3) If that ta travelled at the reured 60 km/hur, fd the dstace t wuld have travelled. (3) The ta reaches a seed f 60 km/hur wth 12 secds f ckg u the last asseger at a ck-u t. Determe the accelerat f the ta. (3) [10] QUESTION 10 Determe the area f the fllwg tragle: Base = 100 mm; Peredcular le = 30 mm (2) Bsle wats t at a cyldrcal ctaer wth a ld wth gltter at as a gft fr hs grlfred. The at s very eesve, s he wats t buy eactly the rght amut f at. As the at sales ers, calculate the ttal area that he wats t at. The measuremets are: ctaer: heght = 20 cm; radus = 6 cm; ld: heght = 1,5 cm; radus = 6,2 cm (Nte: he wll t at the sdes f the ctaer ad ld.) (8) [10] DAMELIN CORRESPONDENCE COLLEGE NOVEMBER 2013 PAGE 5 OF 9

6 QUESTION 11 Nevlle lst hs huse las, but he remembers that the area f hs huse s 75% f the lt sze. The lt s measured t be 20 m 30 m. What s the area f hs huse? (5) Shw the cmets f a frst class level a dagram. (5) [10] [100] TOTAL: 100 MARKS DAMELIN CORRESPONDENCE COLLEGE NOVEMBER 2013 PAGE 6 OF 9

7 DAMELIN CORRESPONDENCE COLLEGE NOVEMBER 2013 PAGE 7 OF 9 USEFUL FORMULAE Statstcal frmulae 1 ; f 1 2 = 1 ) ( 2 ; f f 2 ) ( Ecmcal Frmulae I = 100 P L () = 100 Q L () = 100 P P () = 100 Q P () = 100 V = LastCPI CurretCPI LastCPI b c GDP GDP I = PRT A = r P Measuremet frmulae t d v a = t f v v

8 Area 1 bh 2 average f arallel sdes dstace betwee r 2 2rh rl 4r 2 Vlume legth wdth heght area f crss sect legth r 2 h 4 r r 2 h 3 DAMELIN CORRESPONDENCE COLLEGE NOVEMBER 2013 PAGE 8 OF 9

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