Graad 10 Wiskunde Vraestel Maart 2024
Groot Totaal: 60 punte
Hierdie vraestel dek die volgede werk:
Getalle | Algebra | Eksponente | Trigonometrie verhoudings
Hierdie is 'n oefenvraestel met memorandum bedoel om die leerling se kennis te toets, en sal nie dieselfde vraestel wees wat vir die...
VRAAG 1
1.1 Teken die volgende tabel oor en voltooi:
Los slegs ‘n regmerkie in die gepaste kolom/me. (4)
N N0 Z Q Q' R R'
√ 9+8
6
0
0,1313
√9
1.2 Determine between which integers the following irrational number lie:
√ 133 (2)
1.3 Gebruik die leertjie metode om die priemfaktore van 5184 te bepaal.
Skryf jou antwoord in eksponensiële vorm. (2)
[8]
VRAAG 2
Faktoriseer volledig:
2.1 x 2−49 (1)
2.2 2 p ( p−q )−3(q− p) (2)
2.3 ¿ (3)
2
2.4 3 x + 9 x −12 (2)
[8]
VRAAG 3
Vereenvoudig die volgende uitdrukkings:
3.1 (x−5)(3 x +2) (2)
3.2 (x−2)(x 2+ 5 x−1) (3)
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Graad 10 Maart Vraestel 1
, 2
3 x +9 x
3.3 (3)
3x
[8]
VRAAG 4
Vereenvoudig die volgende deur gebruik van eksponentwette.
5
4.1 (1)
x0
4.2 ¿ (3)
Solve for x :
4.3 2 x −5=11 (2)
[6]
VRAAG 5
Los op vir x :
5.1 ( x−3 )( x +5 )=0 (2)
5.2 3 x ( x +1 )−x ( 2 x−3 )=7 (3)
1 3 2
5.3 ¿ −¿ (4)
x−1 x x+2
x+3
5.4 +5>8 (3)
2
5.5 Los x en y gelyktydig op. (5)
3 x+ y=2
6 x− y =25
5.6 Jane is 3 jaar ouer as haar suster. Saam is hulle 19 jaar oud.
Hoe oud sal Jane se sussie wees in 5 jaar? (4)
[21]
VRAAG 6
6.1 Gebruik die volgende driehoek en bepaal die trigonometriese verhoudings:
√ 125
5
θ
10
6.1.1 sinθ (2)
6.1.2 cosθ (2)
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Graad 10 Maart Vraestel 1
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