Wiskunde
Op a s
so m m ot
in gs & N
Graad 8
© 2026 Knap Opsommings
All notes, summaries, and study materials are owned by Knap Opsommings. Please use them only for your personal school learning. Do not copy, share, or sell our content
without permission.
, INHOUDSOPGAWE
1.Natuurlike- en Telgetalle
2.Heelgetalle
3.Volgorde van Bewerking
4.Breuke
5.Getalpatrone
6.Algebra
7.Vergelykings
8.Hoeke & Driehoeke
9.Meetkunde: Reguitlyne
10.Meetkunde: Ewewydige Lyne
11.Meetkunde: Driehoeke
12.Stelling van Pythagoras
13.Meetkunde: Vierhoeke
14.Cartesiese Vlak
15.Grafieke
16.Omtrek & Oppervlakte
17.Verhoudings
18.Persentasies
19.Enkelvoudige Rente
20.Wisselkoers & Huurkoop
© 2026 Knap Opsommings
All notes, summaries, and study materials are owned by Knap Opsommings. Please use them only for your personal school learning. Do not copy, share, or sell our content
without permission.
, NATUURLIKE-EN-TELGETALLE
Natuurlike Getalle (begin met 1) N ∈ {1; 2; 3; 4; ...}
Telgetalle N₀ ∈ {0; 1; 2; ...}
V₆ = 6; 12; 18; ...
Veelvoude
V₁₀ = 10; 20; 30; ...
F₆ = 1; 2; 3; 6
Faktore F₁₈ = 1; 2; 3; 6; 9; 18
F₂₁ = 1; 3; 7; 21
Net 2 faktore
Priemgetalle
2; 3; 5; 7; 11; 13; 17; 19; 23; ...
F₆ = 1; 2; 3; 6
PF₆ = 2; 3
Priemfaktore
F₁₄ = 1; 2; 7; 14
PF₁₄ = 2; 7
Meer as 2 faktore
Saamgestelde Getalle 4; 6; 8; 9; 10; 12; ...
14; 15; 16; ...
F₁₂ = 1; 2; 3; 4; 6; 12
Grootste Gemene Faktor
F₁₈ = 1; 2; 3; 6; 9; 18
(GGF)
GGF = 6
V₃ = 3; 6; 9; 12; 15; ...
Kleinste Gemene Veelvoud
V₄ = 4; 8; 12; 16; ...
(KGV)
KGV = 12
0÷3=0
Deling deur 0
3 ÷ 0 = ongedefinieerd
© 2026 Knap Opsommings
All notes, summaries, and study materials are owned by Knap Opsommings. Please use them only for your personal school learning. Do not copy, share, or sell our content without permission.
, HEELGETALLE
ℤ ∈ { ... ; -2 ; -1 ; 0 ; 1 ; 2 ; ... }
REËLS VIR MAAL REËLS VIR DEEL
+×+=+ +÷+=+
−×−=+ −÷−=+
+×−=− −÷+=−
−×+=− +÷−=−
VOORBEELDe OPTELLING NOG VOORBEELDE
Voorbeeld:
− −
(3)( 5) = 15 (−8) + (2) = −6
− −
( 2)( 3) = 6 −5) + (−2)
( (−6) + (8) = 2
− −
( 10)(2) = 20 −3 − 7 = −10
− −
8÷2= 4 → Skuld 5 −10 + 4 = −6
− −
10 ÷ 5 = 2
→ Skuld 2 (−2) + (−3) = −5
→ Skuld 7 5 + (−9) = −4
−2 + 10 = 8
(−5) + (−2) = −7 12 − 15 = −3
uitdagings wenke
−5 − (−8) = −5 + 8 = 3
7 − (−10) = 7 + 10 = 17 Geen hakies = tel op
−3 + (−5) = −3 − 5 = −8 Waar daar hakies is, kruip maal weg
Voorbeeld
−
2( 3) + 2(4)²
−
= 2 × ( 3) + 2 × (4) × (4)
© 2026 Knap Opsommings
All notes, summaries, and study materials are owned by Knap Opsommings. Please use them only for your personal school learning. Do not copy, share, or sell our content
without permission.
Op a s
so m m ot
in gs & N
Graad 8
© 2026 Knap Opsommings
All notes, summaries, and study materials are owned by Knap Opsommings. Please use them only for your personal school learning. Do not copy, share, or sell our content
without permission.
, INHOUDSOPGAWE
1.Natuurlike- en Telgetalle
2.Heelgetalle
3.Volgorde van Bewerking
4.Breuke
5.Getalpatrone
6.Algebra
7.Vergelykings
8.Hoeke & Driehoeke
9.Meetkunde: Reguitlyne
10.Meetkunde: Ewewydige Lyne
11.Meetkunde: Driehoeke
12.Stelling van Pythagoras
13.Meetkunde: Vierhoeke
14.Cartesiese Vlak
15.Grafieke
16.Omtrek & Oppervlakte
17.Verhoudings
18.Persentasies
19.Enkelvoudige Rente
20.Wisselkoers & Huurkoop
© 2026 Knap Opsommings
All notes, summaries, and study materials are owned by Knap Opsommings. Please use them only for your personal school learning. Do not copy, share, or sell our content
without permission.
, NATUURLIKE-EN-TELGETALLE
Natuurlike Getalle (begin met 1) N ∈ {1; 2; 3; 4; ...}
Telgetalle N₀ ∈ {0; 1; 2; ...}
V₆ = 6; 12; 18; ...
Veelvoude
V₁₀ = 10; 20; 30; ...
F₆ = 1; 2; 3; 6
Faktore F₁₈ = 1; 2; 3; 6; 9; 18
F₂₁ = 1; 3; 7; 21
Net 2 faktore
Priemgetalle
2; 3; 5; 7; 11; 13; 17; 19; 23; ...
F₆ = 1; 2; 3; 6
PF₆ = 2; 3
Priemfaktore
F₁₄ = 1; 2; 7; 14
PF₁₄ = 2; 7
Meer as 2 faktore
Saamgestelde Getalle 4; 6; 8; 9; 10; 12; ...
14; 15; 16; ...
F₁₂ = 1; 2; 3; 4; 6; 12
Grootste Gemene Faktor
F₁₈ = 1; 2; 3; 6; 9; 18
(GGF)
GGF = 6
V₃ = 3; 6; 9; 12; 15; ...
Kleinste Gemene Veelvoud
V₄ = 4; 8; 12; 16; ...
(KGV)
KGV = 12
0÷3=0
Deling deur 0
3 ÷ 0 = ongedefinieerd
© 2026 Knap Opsommings
All notes, summaries, and study materials are owned by Knap Opsommings. Please use them only for your personal school learning. Do not copy, share, or sell our content without permission.
, HEELGETALLE
ℤ ∈ { ... ; -2 ; -1 ; 0 ; 1 ; 2 ; ... }
REËLS VIR MAAL REËLS VIR DEEL
+×+=+ +÷+=+
−×−=+ −÷−=+
+×−=− −÷+=−
−×+=− +÷−=−
VOORBEELDe OPTELLING NOG VOORBEELDE
Voorbeeld:
− −
(3)( 5) = 15 (−8) + (2) = −6
− −
( 2)( 3) = 6 −5) + (−2)
( (−6) + (8) = 2
− −
( 10)(2) = 20 −3 − 7 = −10
− −
8÷2= 4 → Skuld 5 −10 + 4 = −6
− −
10 ÷ 5 = 2
→ Skuld 2 (−2) + (−3) = −5
→ Skuld 7 5 + (−9) = −4
−2 + 10 = 8
(−5) + (−2) = −7 12 − 15 = −3
uitdagings wenke
−5 − (−8) = −5 + 8 = 3
7 − (−10) = 7 + 10 = 17 Geen hakies = tel op
−3 + (−5) = −3 − 5 = −8 Waar daar hakies is, kruip maal weg
Voorbeeld
−
2( 3) + 2(4)²
−
= 2 × ( 3) + 2 × (4) × (4)
© 2026 Knap Opsommings
All notes, summaries, and study materials are owned by Knap Opsommings. Please use them only for your personal school learning. Do not copy, share, or sell our content
without permission.
