some of the questions that floored grade 6 maths teachers

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8 ^`md `l ted qudstj`fs teht lb``rdk Orhkd < mhtes tdhnedrs Jt js pdrehps edbplub t` pr`vjkd h ldw dxhmpbds `l weht Orhkd < mhtedmhtjns tdhnedrs jf ^`ute Hlrjnh if`w rdbhtjvd t` tdhnedrs jf `tedr Hlrjnhf n`uftrjds. [ed ^`utedrf hfk Dhstdrf Hlrjnhf N`fs`rtjum l`r M`fjt`rjfo Dkunhtj`fhb Xuhbjty (^HNMDX) 711? tdstdk h fhtj`fhbby rdprdsdfthtjvd shmpbd `l Orhkd < stukdfts hfk hbs` tdstdk tedjr tdhnedrs (h shmpbd `l ;18 Orhkd < mhtedmhtjns tdhnedrs jf ^`ute Hlrjnh) (M`b`j & Nedtty, 7188). Xudstj`f < `l ted ^ HNMDX Orhkd < mhtedmhtjns tdhnedr tdst hsis tdhnedrs t` nhbnubhtd ted l`bb`wjfo sum3 Xudstj`f <3 81 x 7 + (< - ;) ÿ 7 = h) 88 g) 87 n) 71 k) 78 [ed n`rrdnt hfswdr js "k". [ejs js hf hppbjnhtj`f `l ted Grhnidts-@l-Kjvjkd-Mubtjpby-Hkk-^u gtrhnt (G@KMH^) rubd l`r ne``sjfo ted `rkdr jf wejne t` pdrl`rm `pdrhtj`fs. [ejs js phrt `l ted Or hkd < nurrjnubum. E`wdvdr, `fby ;<% `l Orhkd < mhtes tdhnedrs jf ^`ute Hlrjnh n`ubk hfswdr t ejs n`rrdntby, hfk jf ted Dhstdrf Nhpd `fby >1% `l Orhkd < mhtes tdhnedrs n`ubk hfswdr tejs n`rrdntby. [ejs js `fby mhrojfhbby hg`vd weht tdhnedrs w`ubk odt jl tedy cust oudssdk ted hfswdr, sjfnd tedy w`ubk odt jt rjoet 74% `l ted tjmd `f h l`ur-ne`jnd tdst jtdm. Tfsurprjsjfoby, `fby 77% `l Orhkd < stukdfts jf ^`ute Hlrjnh nhf hfswdr tejs n` rrdntby - dqujvhbdft t` rhfk`m oudssjfo. Xudstj`f >43 [` mjx h ndrthjf n`b`ur ` l phjft, Dffj n`mgjfds 4 bjtrds `l rdk phjft, 7 bjtrds `l gbud phjft, hfk 7 bjtrds `l ydbb`w phjft. _eht js t ed rhtj` `l rdk phjft t` t ed t`thb hm`uft `l phjft0 h) 437 g) 43; n) 43: k) :3; [ed n`rrdnt hfswdr js "n ". [ejs qudstj`f js wdbb wjtejf ted Orhkd < mhtes nurrjnubum, ydt `fby >>% `l ted ^`ute Hlrjnhf Orhkd < mhtes tdhn edrs n`ubk hfswdr jt n`rrdntby. Hohjf `fby sbjoetby gdttdr t ehf oudssjfo. Jf n`ftrhst, 57% `l Idfyhf Or hkd < mhtes tdhnedrs hfk <;% `l [hfzhfjhf Orhkd < mhtes tdhnedrs n`ubk hfswdr jt n`rrdntby. Jf lhnt, ojvdf teht tejs qudstj`f whs hbs` hsidk jf h prdvj`us jftdrfhtj`fhb stukdft hssdssmdft ([jmss 8::4) wd hbs` if`w e`w Orhkd 5 stukdfts lr`m hr`ufk ted w`rbk pdrl`rmdk `f tejs qudstj`f. _ejbd hf hst`fjsejfoby b`w 8<% `l ^`ute Hlrjnhf Orhkd 5 stukdfts n`ubk hfswdr tejs qudstj`f n`rrdntby, 5?% `l I`rdhf Orhkd 5 stukdfts hfk :4 % `l ^jfohp`rdhf Orhkd 5 stukdfts n`ubk hfswdr jt n`rrdntby. [eht js t` shy teht ted hvdrhod 8 ; ydhr `bk nejbk jf ^jfohp`rd `r I`rd h w`ubk pdrl`rm gdttdr `f tejs jtdm tehf ted hvdrhod Orhkd < mhtes tdhnedr jf ^`ute Hlrjnh.

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7/27/2019 Some of the questions that floored Grade 6 maths teachers

http://slidepdf.com/reader/full/some-of-the-questions-that-floored-grade-6-maths-teachers 1/3

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Znbh nl tih quhstfnas tiot ldnnrhm Gromh < botis thojihrs

Ft fs phriops ihdplud tn prnvfmh o lhw hxobpdhs nl wiot Gromh < botihbotfjs thojihrs fa Znuti Olrfjo

`anw rhdotfvh tn thojihrs fa ntihr Olrfjoa jnuatrfhs. ]ih Znutihra oam Hosthra Olrfjoa Jnasnrtfub lnr

Bnaftnrfag Hmujotfnaod _uodfty (ZOJBH_) 5;;7 thsthm o aotfnaoddy rhprhshatotfvh sobpdh nl Gromh <

stumhats oam odsn thsthm tihfr thojihrs (o sobpdh nl =;? Gromh < botihbotfjs thojihrs fa ZnutiOlrfjo) (Bndnf & Jihtty, 5;??). _uhstfna < nl tih ZOJBH_ Gromh < botihbotfjs thojihr thst os`s

thojihrs tn jodjudoth tih lnddnwfag sub3

_uhstfna <3 ?; x 5 + (< - =) ÷ 5 2

o) ??

e) ?5

j) 5;

m) 5?

]ih jnrrhjt oaswhr fs "m". ]ifs fs oa oppdfjotfna nl tih Eroj`hts-Nl-Mfvfmh-Budtfpdy-Omm-Zuetrojt(ENMBOZ) rudh lnr jinnsfag tih nrmhr fa wifji tn phrlnrb nphrotfnas. ]ifs fs port nl tih Gromh <

jurrfjudub. Inwhvhr, nady =<% nl Gromh < botis thojihrs fa Znuti Olrfjo jnudm oaswhr tifs jnrrhjtdy,

oam fa tih Hosthra Joph nady :;% nl Gromh < botis thojihrs jnudm oaswhr tifs jnrrhjtdy.

]ifs fs nady borgfaoddy oenvh wiot thojihrs wnudm ght fl tihy cust guhsshm tih oaswhr, sfajh tihy wnudm

ght ft rfgit 58% nl tih tfbh na o lnur-jinfjh thst fthb. Xasurprfsfagdy, nady 55% nl Gromh < stumhats fa

Znuti Olrfjo joa oaswhr tifs jnrrhjtdy - hqufvodhat tn roamnb guhssfag.

_uhstfna :83 ]n bfx o jhrtofa jndnur nl pofat, Haaf jnbefahs 8 dftrhs nl rhm pofat, 5 dftrhs nl eduh pofat,

oam 5 dftrhs nl yhddnw pofat. Wiot fs tih rotfn nl rhm pofat tn tih tntod obnuat nl pofat>

o) 835

e) 83=

j) 836

m) 63=

]ih jnrrhjt oaswhr fs "j". ]ifs quhstfna fs whdd wftifa tih Gromh < botis jurrfjudub, yht nady ::% nl tih

Znuti Olrfjoa Gromh < botis thojihrs jnudm oaswhr ft jnrrhjtdy. Ogofa nady sdfgitdy ehtthr tioa guhssfag.

Fa jnatrost, 95% nl @hayoa Gromh < botis thojihrs oam <=% nl ]oazoafoa Gromh < botis thojihrs jnudm

oaswhr ft jnrrhjtdy.

Fa lojt, gfvha tiot tifs quhstfna wos odsn os`hm fa o prhvfnus fathraotfnaod stumhat osshssbhat (]fbss

?668) wh odsn `anw inw Gromh 9 stumhats lrnb ornuam tih wnrdm phrlnrbhm na tifs quhstfna. Wifdh oa

ostnafsifagdy dnw ?<% nl Znuti Olrfjoa Gromh 9 stumhats jnudm oaswhr tifs quhstfna jnrrhjtdy, 97% nl 

@nrhoa Gromh 9 stumhats oam 68% nl Zfagopnrhoa Gromh 9 stumhats jnudm oaswhr ft jnrrhjtdy. ]iot fs tn

soy tiot tih ovhrogh ?= yhor ndm jifdm fa Zfagopnrh nr @nrho wnudm phrlnrb ehtthr na tifs fthb tioa tih

ovhrogh Gromh < botis thojihr fa Znuti Olrfjo.

7/27/2019 Some of the questions that floored Grade 6 maths teachers

http://slidepdf.com/reader/full/some-of-the-questions-that-floored-grade-6-maths-teachers 2/3

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Fa lojt, nl tih ?< quhstfnas tiot whrh jnbbna tn enti tih Gromh < botis thojihr thst (Zojbhq 5;;7)

oam tih Gromh 9 stumhat thst (]fbss ?668), Znuti Olrfjoa thojihrs nady sjnrhm :;% jnrrhjt olthr

omcustfag lnr guhssfag. ]ih lfgurh lnr @hayoa Gromh < botis thojihrs fs 75% oam lnr Zfagopnrhoa Gromh

9 stumhats ft fs 7?% (enti odsn omcusthm lnr guhssfag).

Dnn`fag ot twn ntihr quhstfnas lrnb tih thst (quhstfna 5? oam 58) lurtihr rhvhod inw dnw Znuti Olrfjoabotihbotfjs thojihr jnathat `anwdhmgh rhoddy fs.

7/27/2019 Some of the questions that floored Grade 6 maths teachers

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Xasurprfsfagdy, tih fathraotfnaod rhpnrt na tih ZOJBH_ stumy stoths tiot nady :5% nl Gromh < botis

thojihrs fa Znuti Olrfjo iom mhsfroedh suechjt `anwdhmgh fa botihbotfjs (Iuagf, ht od., 5;??, p. 85). ]ifs

fs fa stor` jnatrost tn boay ntihr Olrfjoa jnuatrfhs wfti buji ifgihr prnpnrtfnas nl botis thojihrs

wfti mhsfroedh dhvhds nl jnathat `anwdhmgh, lnr hxobpdh3 @hayo (6;%), Sfbeoewh (7<%) oam Zwozfdoam

(88%). ]ih sftuotfna fs odsn ifgidy vorfoedh ey prnvfajh fa Znuti Olrfjo wfti Bpubodoago iovfag odbnst

an botis thojihrs wfti mhsfroedh jnathat `anwdhmgh (=%).