Exam (elaborations)
TECH MATHS P1 QP GR11 NOV2023_Afrikaans D
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TECH MATHS P1 QP GR11 NOV2023_Afrikaans D
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NASIONALESENIORSERTIFIKAAT
GRAAD 11
NOVEMBER 2023
TEGNIESE WISKUNDE V1
PUNTE: 150
TYD: 3 uur
Hierdie vraestel bestaan uit 13 bladsye, insluitend ʼn
2-bladsy inligtingsblad en ʼn antwoordblad.
,2 TEGNIESE WISKUNDE V1 (EC/NOVEMBER 2023)
INSTRUKSIES EN INLIGTING
Lees die volgende instruksies aandagtig deur voordat jy die vrae beantwoord.
1. Hierdie vraestel bestaan uit AGT vrae.
2. Beantwoord AL die vrae.
3. Beantwoord VRAAG 5.5 op die ANTWOORDBLAD wat verskaf word. Skryf jou
naam en skool se naam in die spasies wat op die ANTWOORDBLAD verskaf word
en handig die ANTWOORDBLAD met jou ANTWOORDEBOEK in.
4. Toon duidelik ALLE berekeninge, diagramme, grafieke, ensovoorts wat jy gebruik
het om jou antwoorde te bepaal.
5. ʼn Goedgekeurde wetenskaplike sakrekenaar (nieprogrammeerbaar en niegrafies) kan
gebruik word, tensy anders vermeld.
6. Indien nodig, moet ALLE antwoorde tot TWEE desimale plekke afgerond word,
tensy anders vermeld.
7. Nommer die antwoorde korrek volgens die nommeringstelsel wat in hierdie vraestel
gebruik is.
8. Diagramme is NIE noodwendig volgens skaal geteken NIE.
9. Skryf netjies en leesbaar.
Kopiereg voorbehou Blaai om asseblief
, (EC/NOVEMBER 2023) TEGNIESE WISKUNDE V1 3
VRAAG 1
1.1 Vereenvoudig die volgende volledig SONDER om ʼn sakrekenaar te gebruik.
3
1.1.1 (5 3 0
√ − x5) (1)
1
1.1.2 x2(3 − x) (2)
1.1.3 (√3 − 3)(√3 + 3) (3)
1 1
log2325 + log2273
1.1.4
log 2 6+ log7x0 (6)
3x1
1.2 Beskou: y x 7.3x1
6 9x
1
1.2.1 Bewys dat 1 31 x
y
3 9 (5)
1.2.2 Vervolgens, toon aan dat vir y reele le dan is xewe
(1)
getalle. getal
1.3 Beskou binêre getalle X = 1000002 en Y = 1112
1.3.1 Skryf X en Y in desimale vorm. (2)
1.3.2 Vervolgens of andersins, bepaal (X − Y) in binêre vorm. (2)
Kopiereg voorbehou Blaai om asseblief
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