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Oefenopgaven lkt rekenen - Verhoudingen
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  • Course
  • Rekenen
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  • Avans Hogeschool (Avans)

In dit document vind je oefenopgaven voor de LKT rekenen (afkomstig van de oefensite kennisbasistoets rekenen), maar dan overzichtelijk geordend per domein. In dit geval het domein vpbk (verhoudingen, procenten , breuken en kommagetallen). Per vraag wordt steeds aangegeven welke kernbegrippen van...

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Document information

  • February 15, 2024
  • 152
  • 2023/2024
  • Other
  • Unknown

Subjects

  • rekenen
  • lkt rekenen
  • rekenen pabo
  • lkt

Written for

  • Avans Hogeschool (Avans)
  • Lerarenopleiding Basisonderwijs / PABO
  • Rekenen
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Uitwerking kennisbasis rekensite – VPBK
Inhoud
1. Aantal ogen.........................................................................................................................................4
2. Aantal T-shirts.....................................................................................................................................6
3. Absoluut en relatief............................................................................................................................9
4. Alcoholpercentage (ZRM).................................................................................................................10
5. Appels (ZRM)....................................................................................................................................11
6. Assad (ZRM)......................................................................................................................................12
7. Cola kopen........................................................................................................................................13
8. Blokjesbalk........................................................................................................................................15
9. Blonde kinderen...............................................................................................................................16
10. Boekenkraam..................................................................................................................................20
11. Bossen bloemen.............................................................................................................................21
12. Breuken...........................................................................................................................................23
13. Breuken omzetten...........................................................................................................................24
14. Breuken positioneren.....................................................................................................................25
15. Breukenraadsels.............................................................................................................................26
16. Breukensom....................................................................................................................................28
17. Broeken kopen met korting............................................................................................................29
18. Broodjes in de aanbieding..............................................................................................................32
19. BTW (ZRM)......................................................................................................................................33
20. Dansende meisjes...........................................................................................................................34
21. Decimale breuk...............................................................................................................................36
22. Dichtst bij 1.....................................................................................................................................37
23. Dichtste bij......................................................................................................................................40
24. Discussie over breuken, procenten en kommagetallen...................................................................41
25. Dobbelen (ZRM)..............................................................................................................................43
26. Dobbelstenen.................................................................................................................................44
27. Fahrenheit......................................................................................................................................46
28. Fietsen en autorijden (ZRM)...........................................................................................................47
29. Free a girl........................................................................................................................................49
30. Frisdrank.........................................................................................................................................50
31. Gekke sinaasappels.........................................................................................................................51
32. Goud...............................................................................................................................................53
33. Goud inwisselen (ZRM)...................................................................................................................55

,34. Het dichtstbij 1................................................................................................................................56
35. Hoeveel M&M's?............................................................................................................................57
36. Hoeveel kilometer? (ZRM)..............................................................................................................59
37. Hoeveel korting...............................................................................................................................60
38. Hoeveel kost de kaas?.....................................................................................................................61
39. Hoeveelste rij?................................................................................................................................62
40. Hoogte flat......................................................................................................................................63
41. Infrarood sauna (ZRM)....................................................................................................................64
42. iPad (ZRM)......................................................................................................................................65
43. Iphone 6 (ZRM)...............................................................................................................................66
44. Kameel............................................................................................................................................67
45. Kauwgomballen..............................................................................................................................69
46. Kenteken.........................................................................................................................................70
47. Kerstfooi..........................................................................................................................................71
48. Kilo gehakt......................................................................................................................................73
49. Kleurpotloden.................................................................................................................................74
50. Knikkers..........................................................................................................................................76
51. Konijnenvoer kopen........................................................................................................................79
52. Koolhydraten..................................................................................................................................80
53. Korting Mediamarkt (ZRM).............................................................................................................81
54. Korting telefoonabonnement.........................................................................................................83
56. Meningsverschil..............................................................................................................................86
57. Mini's..............................................................................................................................................87
58. Moeilijke som.................................................................................................................................88
59. Muntgeld........................................................................................................................................89
60. Op vakantie.....................................................................................................................................90
61. Parallelwegen (ZRM).......................................................................................................................91
62. Passende breuk zoeken...................................................................................................................93
63. Paardenmeisjes...............................................................................................................................95
64. Percentage berekenen (ZRM).........................................................................................................97
65. Pi.....................................................................................................................................................98
66. Procent korting...............................................................................................................................99
67. Procenten Ipod.............................................................................................................................100
68. Promille........................................................................................................................................101
69. Rechthoek.....................................................................................................................................102
70. Reinigingsmiddel...........................................................................................................................103

,71. Rente (ZRM)..................................................................................................................................104
72. Rente spaargeld (ZRM).................................................................................................................105
73. Repetendum.................................................................................................................................106
74. Rijexamen afleggen.......................................................................................................................107
75. Samsung Galaxy S5.......................................................................................................................108
76. Sinaasappelen verkopen...............................................................................................................109
77. Snoepzak.......................................................................................................................................111
78. Sparen...........................................................................................................................................112
79. Sportende kinderen......................................................................................................................114
80. Staatsloterij (ZRM)........................................................................................................................115
81. Stipsom.........................................................................................................................................117
82. Startbedrag berekenen (ZRM)......................................................................................................118
83. Supermarkt (ZRM)........................................................................................................................120
84. Tablet............................................................................................................................................121
85. Tanken (ZRM)................................................................................................................................122
86. Teller.............................................................................................................................................124
87. Temperatuur cyclus.......................................................................................................................125
88. Treinontbijt (ZRM).........................................................................................................................126
89. Twee breuken...............................................................................................................................127
90. Uitverkoop....................................................................................................................................128
91. Vakantiegeld.................................................................................................................................129
92. Vakantieroutes (ZRM)...................................................................................................................130
93. Vakantie shoppen.........................................................................................................................132
94. Van kommagetal naar rest............................................................................................................134
95. Veiligheidsscan (ZRM)...................................................................................................................135
96. Verf tekort.....................................................................................................................................136
97. Verhoudingstabel..........................................................................................................................137
98. Verkeerd positioneren..................................................................................................................138
99. Verkiezingen (ZRM).......................................................................................................................139
100. Verkiezingen 2............................................................................................................................141
101. Vermenigvuldigen breuk.............................................................................................................142
102. Watermeloenen..........................................................................................................................143
103. Watertank hockeyveld................................................................................................................145
104. Wat is deelbaar door 24?............................................................................................................146
105. Welke breuk................................................................................................................................147
106. Werkloosheid (ZRM)...................................................................................................................148

,107. Wielrenner..................................................................................................................................149
108. Zelfscannen.................................................................................................................................150
109. Zoek de breuk.............................................................................................................................152




1. Aantal ogen

,Kernbegrip(pen): kansen, verhouding



Gegeven

Jan gooit met een rode en een blauwe dobbelsteen. Het is de bedoeling dat hij in totaal 8 ogen
gooit.

Gevraagd

a) Wat is de kans dat hem dat lukt? Geef je antwoord in de vorm van een vereenvoudigde breuk.

b) Wat is de kans op 8 gooien als Jan met twee identieke rode dobbelstenen zou gooien?


Hint:
Gebruik onderstaande tabel bij het berekenen van de kans.




Antwoord: In beide gevallen is de uitkomst




Uitwerking
Uitwerking vraag a (gooien met een blauwe en een rode dobbelsteen)

Het invullen van de tabel geeft:




In totaal zijn er (6 x 6 =) 36 verschillende worpen mogelijk. Bij 5 van die mogelijkheden is het totaal
aantal ogen 8. Al deze mogelijkheden zijn even waarschijnlijk.

Dat betekent dat de kans op 8 ogen =

, Uitwerking vraag b (gooien met twee identieke rode dobbelstenen)

Het maakt niet uit of je met twee verschillend gekleurde of twee identiek gekleurde dobbelstenen
gooit. Je vraagt je misschien af of er dan inderdaad nog steeds 36 mogelijke worpen zijn, want 3
met de ene en 1 met de andere gooien ziet er hetzelfde uit als 1 met de ene en 3 met de andere
gooien. Toch zijn dat twee verschillende situaties.

Stel je maar even voor dat je de ene dobbelsteen steeds aan de linkerkant van de tafel gooit en de
andere dobbelsteen aan de rechterkant. Dan is 3-1 anders dan 1-3. Dus zo zie je dat er nog steeds
36 mogelijkheden zijn waarvan er 5 acht opleveren, en dus blijft de kans op 8 gooien gelijk aan


(als het tenminste twee zuivere dobbelstenen zijn), net als bij die rode en die blauwe dobbelsteen.




2. Aantal T-shirts
Kernbegrip(pen): verhoudingen

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