I-CAPS yoMzantsi Afrika · AmaBanga 8–12

Imibuzo yohlobo loviwo engenasiphelo, eveliswa ngomzuzu oyifuna ngawo.

Khetha isihloko se-CAPS ufumane imibuzo emitsha engenasiphelo — nganye inememo yenyathelo ngenyathelo nemizobo elungele ukuprintwa. Yakhelwe phezu kwe-injini yethu, ngoko ayipheli.

Vula ibala lokudlala Yakha iphepha lomsebenzi

Izihloko zasimahla kwibanga ngalinye · Iikhowudi zesimemo zivula yonke into · Kootitshala, abaqeqeshi, abazali namaqonga

Properties of operations · iBa 8(2)

Calculate, by grouping the factors smartly: $2\times78\times50$

Real number system (ℕ, ℕ₀, ℤ, ℚ, ℚ′) · iBa 8(3)

Which of the following are integers? A) −30 B) 0 C) $\tfrac{1}{2}$ D) $\sqrt{2}$ E) 21

Factors, HCF & LCM · iBa 8(3)

Show that the LCM of 84 and 48 is 336.

Imemo

84=2^{2}\times3\times7

48=2^{4}\times3

∴

LCM=2^{4}\times3\times7=336

✓ (matches the given answer, as required)

Imveliso ye-injini ephilayo — seed 20260710

Imibuzo yokuziqhelanisa iveliswa ngesiNgesi nangesiBhulu — iilwimi ekufundiswa nekuviwa ngazo iMathematika ye-CAPS.

izihloko zekharityhulam

8–12

amabanga aqukiweyo

iifomathi zokukhupha — HTML · JSON · SVG · PNG

Isebenza njani

Ukusuka kwisihloko ukuya kwiphepha ngamanyathelo amathathu

Khetha isihloko

Khangela umthi wekharityhulam — isihloko ngasinye sidityaniswe nebanga laso, iphepha nomgangatho wokucinga.

Lungisa izilawuli

I-seed, ubunzima, uhlobo nenani. Indibaniselwano nganye yiseti entsha esetyenzwe ngokupheleleyo.

Khuphela naphi na

Printa amaphepha omsebenzi ohlobo loviwo anee-memo, okanye uthathe nawuphi na umbuzo njenge-JSON, i-SVG okanye i-PNG nge-API.

I-injini ye-Diipone

Iibhanki zemibuzo ziyaphela. Eyethu i-injini ayipheli.

Sizakhele eyethu i-injini yemibuzo endaweni yokuthenga ilayisenisi yebhanki. Umbuzo ngamnye uneeparamitha: amanani, iimeko nemizobo kukhutshwa kwi-seed, kwaye imemo ifunyanwa kunye nazo. Abafundi baziqhelanisa nesakhono esifanayo kwimizekelo emitsha engenasiphelo — kwaye ootitshala banokubonisa apho impendulo nganye ivela khona.

Which of the following are integers? A) −126 B) 0,1666… C) 40 D) $-\tfrac{1}{5}$ E) 0,9

A) −126 (a negative whole number — an integer ✓)
B) 0,1666… (a recurring decimal, not a whole number — not an integer ✗)
3C) 40 (a positive whole number — an integer ✓)

This is a whole number (even when it is disguised as a root sign or as zero) with no fractional part — an integer.

Imveliso ye-injini ephilayo

Iimemo ezisetyenziweyo, inyathelo ngenyathelo

I-injini ikhupha wonke umsebenzi kunye nombuzo ngamnye ewuvelisayo — akukho nto incanyathiselwa emva kwexesha.

seed #424242 Xuba

i-seed efanayo
→ imibuzo efanayo
→ imemo efanayo

Ine-seed kwaye iyaphindeka

Yabelana nge-URL, wonke umntu abone iphepha elifanayo ncam — kulungile ekumodareyitheni.

Imveliso ye-injini ephilayo

Imizobo yokwenene

Ijiyometri, iigrafu nemizobo kuveliswa kunye namanani — njenge-SVG elungele ukuprintwa.

Ubunzima

Umgangatho 1Umgangatho 2Umgangatho 3Umgangatho 4

Uhlobo

ZonkeUhlobo AUhlobo B

Ubunzima neentlobo

Imigangatho emine yokucinga neentlobo ngesihloko ngasinye zijolisa kanye kwisakhono osifundisayo.

Iphepha lomsebenzi + imemo API

GET /api/questions?…&format=svg

Yiprinte, okanye wakhe phezu kwayo

Amaphepha omsebenzi ohlobo loviwo anee-memo avela kumakhi — okanye i-JSON, i-SVG ne-PNG evela kwi-API.

Kubakhi

Umbuzo ngamnye une-URL

Hlola nayiphi na ithayile kwibala lokudlala uze ukopishe umnxeba wayo we-API. I-seed efanayo ibuyisela umbuzo ofanayo qho — njenge-JSON elungelelanisiweyo ye-app yakho, okanye njengekhadi elizotyiweyo okanye umzobo nje nge-SVG ne-PNG.

Yizame kwisihloko

GET /api/questions

?curriculum=caps

&subject=mathematics

&topics=algebra:12

&seed=424242

&format=svg

seed → inani elifanayo, imibuzo efanayo, qho

format → json · svg · png (+ mode=card|figure)

why=1 → faka inkcazelo epheleleyo

ANALYSIS GRID (TEST BLUEPRINT) · SET #482913

MODERATION SUMMARY

Cognitive level	Achieved	Target
Knowledge	25%	25%
Routine procedures	44%	45%
Complex procedures	21%	20%
Problem solving	10%	10%

Blueprint compliant · 75 marks

Kuviwo olusesikweni

Uviwo olulungele ukumodareyithwa ngocofo olunye

Khetha ibanga nobungakanani bephepha — umdibanisi udibanisa izihloko, amanani namanqaku ukuze iphepha lifikelele kubunzima nakwizisindo zemigangatho yokucinga ezimiselwe yi-DBE. Vula Kufuneka ifikelele kwiithagethi ze-CAPS ize iqhubeke icokisa de kungabikho mgca womodareyitha uphawulwayo.

Iphepha ngalinye liza negridi yohlalutyo abayicelayo abamodareyitha
Phinda uvelise nawuphi na umbuzo omnye, okanye uwubophelele kuhlobo oluthile
Imemo epheleleyo ifunyanwa kunye nephepha — printa zombini ngexesha elinye

Dibanisa uviwo

Yakhelwe i-CAPS namhlanje. Yakhelwe ukukhula.

Iyasebenza ngoku

IMathematika ye-CAPS

Amabanga 8–12, izihloko ezingama-99 ezidityaniswe namaphepha nemigangatho yokucinga, kunye neentlobo neememo ezisetyenziweyo.

Iyeza kungekudala

Ezinye izifundo

I-injini ayixhomekekanga kwisifundo esinye — ezinye izifundo ze-CAPS ziyalandela.

Iyeza kungekudala

Ezinye iikharityhulam namazwe

Iikharityhulam zingena njengeenkcazelo — ikharityhulam ye-DepEd MATATAG (iPhilippines, iMathematika yeBanga 8) sele isebenza ngoku, kwaye amazwe amatsha neesilabhasi zingena ngaphandle kokwakha kwakhona i-injini.

Imibuzo eqhelekileyo

Imibuzo iphenduliwe

Ikhona enye into oyicingayo? Buza nge-Diipone Academy.

Ewe. Imibuzo ziitemplete ezineeparamitha: amanani, iimeko nemizobo kukhutshwa kwi-seed, kwaye imemo ifunyanwa kunye nazo. I-seed entsha nganye liphepha elitsha.

Isihloko ngasinye sidityaniswe nebanga laso le-CAPS, iphepha loviwo nomgangatho wokucinga. IMathematika yeBanga 8 inokugutyungelwa okunzulu namhlanje, kwaye amabanga 9–12 ayakhula.

Ootitshala nabaqeqeshi abafuna izinto ezintsha zokuziqhelanisa, abazali abaxhasa abafundi ekhaya, namaqonga afuna ukwakha phezu kwe-API yemibuzo.

Izihloko zokuqala zebanga ngalinye zisimahla. Sikwi-beta yabucala — ikhowudi yesimemo ivula yonke into. Yakhiwe ngu-Diipone Academy, isikolo se-intanethi se-CAPS esifikelelekayo ngexabiso — izicwangciso zexesha elide ziya kubhengezwa apho.

Ewe. Umdibanisi woviwo ukhetha izihloko, amanani namanqaku ukuze iphepha lihambelane nezisindo zemigangatho yokucinga ze-DBE nesikhokelo sobunzima, kwaye uprinta igridi yohlalutyo abamodareyitha abajonga ngayo amaphepha. Imowudi engqongqo iqhubeka icokisa de kungabikho mgca uphawulwayo.

Ewe — i-injini ayixhomekekanga kwisifundo okanye kwikharityhulam enye. Ezinye izifundo ze-CAPS ziyalandela, kwaye ezinye iikharityhulam namazwe zisezicwangcisweni.

Isayithi ifumaneka ngesiNgesi, ngesiBhulu, ngesiZulu, ngesiXhosa, ngeSepedi, ngeSesotho nangeSetswana, kunye nange-Filipino nange-Cebuano. Imibuzo yokuziqhelanisa iveliswa ngesiNgesi nangesiBhulu — iilwimi ekufundiswa nekuviwa ngazo iMathematika ye-CAPS; iMathematika ye-DepEd MATATAG ifundiswa ngesiNgesi, ngoko nayo iqukiwe. Njengoko iikharityhulam zamanye amazwe zongezwa, imibuzo iya kulandela iilwimi ezo kharityhulam zifundiswa ngazo.

Yeka ukuzingela amaphepha akudala.
Velisa awakho.

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