WISKUNDIGE GELETTERDHEID
GRAAD 10
NOG OEFENINGE
  
Kaarte, roetes en reise : antwoorde
  
MATHEMATICAL LITERACY
GRADE 10
MORE EXERCISES
  
Maps, routes and trips : answers
  
  
Antwoorde / Answers  1  
  
    
         1.1  962 km                             [ A 1.1 ]
    
         1.2  Volg die N12 tot by Drie Susters
                (Three Sisters), volg dan die
                N1 na Kaapstad.
                                                         [ V 1.2 ]
    
         1.3.1  77 km
                   OF  253 ─ 176 = 77 km
                   OF  786 ─ 709 = 77 km
                   van die sypanele verkry
                                                         [ V 1.3.1 ]
    
         1.3.2  Drie Susters en Beaufort Wes
                                                         [ V 1.3.2 ]
    
         1.4  Beaufort Wes en Laingsburg
                afstand = 198 km
                                                         [ V 1.4 ]
    
         1.5  N10                                  [ V 1.5 ]
    
         1.6  Naby Touwsrivier op die R354
                                                         [ V 1.6 ]
    
         1.7.1  700 km                          [ V 1.7.1 ]
  
         1.7.2  598 km                          [ V 1.7.2 ]
    
         1.8  Draai op die R45 van die N1
                af, ry deur die Paarl en dan
                na Malmesbury.
                OF  
                Draai af na die R304 en volg
                dit na Malmesbury.
                OF  
                Draai af op die R302, ry deur
                Durbanville en dan
                na Malmesbury.
                OF  
                Draai af na die N7 en volg
                dit na Malmesbury.
                                                         [ V 1.8 ]
    
         1.9  Stellenbosch                    [ V 1.9 ]
    
       1.10.1  Hugenot Toll Route / Hugenot tunnel
                                                        [ V 1.10.1 ]
    
       1.10.2  Du Toits Kloof Pas
                                                         [ V 1.10.2 ]
    
       1.10.3  Heksrivier Pas               [ V 1.10.3 ]
    
       1.11.1  Op die R381                  [ V 1.11.1 ]
    
       1.11.2  Loxton                           [ V 1.11.2 ]
    
       1.12  N2                                     [ V 1.12 ]
    
       1.13  Westelike Provinsie          [ V 1.13 ]
    
         1.1  962 km                                   [ Q 1.1 ]
    
         1.2  Follow the N12. At Three Sisters
                you turn onto the N1 and then
                follow that to Cape Town.
                                                               [ Q 1.2 ]
    
         1.3.1  77 km
                   OR 253 ─ 176 = 77 km (side bar)
                   OR 786 ─ 709 = 77 km (side bar)
                                                               [ Q 1.3.1 ]
  
    
         1.3.2  Three Sisters and Beaufort West
                                                               [ Q 1.3.2 ]
    
         1.4  Beaufort West and Laingsburg
                distance = 198 km
                                                               [ Q 1.4 ]
    
         1.5  N10                                         [ Q 1.5 ]
    
         1.6  Near Touws River on the R354
                                                               [ Q 1.6 ]
    
         1.7.1  700 km                                [ Q 1.7.1 ]
  
         1.7.2  598 km                                [ Q 1.7.2 ]
    
         1.8  Turn off the N1 onto the R45,
                pass through Paarl and drive
                to Malmesbury.
                OR  
                Turn off onto the R304 and follow
                that to Malmesbury.
                OR  
                Turn off onto the R302, pass
                through Durbanville and drive
                to Malmesbury.
                OR  
                Turn off onto the N7 and
                drive to Malmesbury.
                                                               [ Q 1.8 ]
    
         1.9  Stellenbosch                          [ Q 1.9 ]
    
       1.10.1  Hugenot Toll Route / Hugenot tunnel
                                                              [ Q 1.10.1 ]
    
       1.10.2  Du Toits Kloof Pass
                                                              [ Q 1.10.2 ]
    
       1.10.3  Hexriver Pass                     [ Q 1.10.2 ]
    
       1.11.1  On the R381                       [ Q 1.11.1 ]
    
       1.11.2  Loxton                                 [ Q 1.11.2 ]
    
       1.12  N2                                          [ Q 1.12 ]
    
       1.13  Western Cape Province         [ Q 1.13 ]
  
Antwoorde / Answers  2  
  
    
         2.1  472 km                             [ V 2.1 ]
    
         2.2.1  47 km                          [ V 2.2.1 ]
    
         2.2.2  Potchefstroom en Klerksdorp
                                                      [ V 2.2.2 ]
    
         2.1  472 km                             [ Q 2.1 ]
    
         2.2.1  47 km                           [ Q 2.2.1 ]
    
         2.2.2  Potchefstroom and Klerksdorp
                                                         [ Q 2.2.2 ]
    
         2.3.1  309 km
                   OF / OR  472 ─ 163 = 309 km
                   OF / OR  43 + 22 + 52 + 23 + 24 + 81 + 64  = 309 km
                                                                                                                                 [ V/Q 2.3.1 ]
    
         2.3.2  227 km
                   OF / OR  472 ─ 245 = 227 km
                   OF / OR  64 + 47 + 42 + 27 + 47  = 227 km
                                                                                                                                 [ V/Q 2.3.2 ]
    
         2.3.3  308 ─ 74 = 234 km
                   OF / OR  398 ─ 164 = 234 km
                   OF / OR  81 + 64 + 47 + 42  = 234 km
                                                                                                                                 [ V/Q 2.3.3 ]
    
         2.4  N12                                  [ V 2.4 ]
    
         2.5  R52                                  [ V 2.5 ]
    
         2.6  Hartbeesfontein               [ V 2.6 ]
    
         2.7  In Wolmaranstad ry met die
                R505, draai af op die R504 en
                volg dit na Schweizer-Reneke.
                OF  
                Van Bloemhof ry met die R34
                na Schweizer-Reneke.
                OF  
                Draai suid van Bloemhof af op die
                R708, draai dan op die R506 en
                volg dit na Schweizer-Reneke .
                                                         [ V 2.7 ]
    
         2.8.1  Noord-Wes Provinsie        [ V 2.8.1 ]
    
         2.8.2  Noord Kaap Provinsie       [ V 2.8.2 ]
    
         2.9  Draai suid van Bloemhof op die
                R708, draai af op die R506 en
                volg dit oor Jan Kempdorp
                na Ganspan.
                OF  
                Ry met die R49 vanaf
                Warrenton, draai af op die
                R506 en volg dit na Ganspan.
                                                         [ V 2.9 ]
    
       2.10  Deur Gauteng, dan deur
                Noord Wes en dan deur
                Noord Kaap.                    [ V 2.10 ]
    
       2.11  Die Vaalrivier                   [ V 2.11 ]
    
       2.12  Boshof en Schmidtsdrif     [ V 2.12 ]
    
         2.4  N12                                          [ Q 2.4 ]
    
         2.5  R52                                          [ Q 2.5 ]
    
         2.6  Hartbeesfontein                       [ Q 2.6 ]
    
         2.7  In Wolmaranstad drive on the
                R505, turn off onto the R504 and
                follow that to Schweizer-Reneke.
                OR  
                From Bloemhof drive on the R34
                to Schweizer-Reneke .
                OR  
                South of Bloemhof turn off onto the
                R708, then turn onto the R506 and
                follow that to Schweizer-Reneke .
                                                                 [ Q 2.7 ]
    
         2.8.1  North West Province           [ Q 2.8.1 ]
    
         2.8.2  Northern Cape Province     [ Q 2.8.2 ]
    
         2.9  South of Bloemhof turn off onto
                the R708 then turn onto the
                R506 and follow that via
                Jan Kempdorp to Ganspan.
                OR  
                At Warrenton drive on the R49
                to the R506 and follow that
                to Ganspan.
                                                                 [ Q 2.9 ]
    
       2.10  Through Gauteng, then through
                North West and the through
                Northern Cape.                        [ Q 2.10 ]
    
       2.11  The Vaal River                         [ Q 2.11 ]
    
       2.12  Boshof and Schmidtsdrif.        [ Q 2.12 ]
  
Antwoorde / Answers  3  
  
    
         3.1  143 km                             [ V 3.1 ]
    
         3.2.1  Noord Wes                    [ V 3.2.1 ]
  
         3.2.2  Suid Oos                       [ V 3.2.2 ]
    
         3.1  143 km                                     [ Q 3.1 ]
    
         3.2.1  North West                          [ Q 3.2.1 ]
  
         3.2.2  South East                          [ Q 3.2.2 ]
  
    
         3.3.1    18 mm  :  45 km
  
                     18 mm  :  45 X 1 000 X 1 000 mm
  
                                        45 X 1 000 X 1 000 mm
                       1 mm  :  ─────────────────
                                                         18
  
                              1  :   2 500 000 
  
                     Die skaal is dus / The scale is thus   1 :  2 500 000                                           [ V / Q 3.3.1 ]
  
  
         3.3.2              1 :  2 500 000 
  
                        1 cm  :  2 500 000  cm
  
                     2,3 cm  :  2,3  X  2 500 000 cm
  
                     2,3 cm  :  5 750 000  ÷  (100 X 1 000)  km
  
                     2,3 cm  :  57,500 km                                                                                   [ V / Q 3.3.2 ]
  
  
         3.3.3  Vanaf Hoopstad na Wesselsbron / From Hoopstad to Wesselsbron  =  47 km     [ V / Q 3.3.3 ]
  
  
         3.3.4                  2 500 000 cm  :  1  cm
  
                                                                       1
                                                1  cm  :  ────────  cm
                                                                2 500 000
  
                                                                       1
                       47 X 1 000 X 100 cm  :  ────────  X  47 X 1 000 X 100  cm
                                                               2 500 000
  
                       47 X 1 000 X 100 cm  :  1,88  cm
  
  
                   Die afstand op die kaart is 1,88 cm  /  The distance on the map is 1,88 cm.            [ V / Q 3.3.4 ]
  
  
    
         3.4.1  Vanaf Petrus Streyn volg Gert
                   die R707 oor Lindley en
                   Arlington na Senekal.
                                                          [ V 3.4.1 ]
  
         3.4.2  Piet is verkeerd. Die afstand
                   vanaf Viljoenskroon na
                   Senekal is groter as die vanaf
                   Petrus Steyn na Senekal en
                   Piet sal dus langet ry.
                                                          [ V 3.4.2 ]
  
         3.4.3  Van Senekal volg hulle die
                   N5 oor Paul Roux en
                   Bethlehem. Na Bethlehem
                   draai hulle van die N5 af
                   op die R711 na Clarens
                   en volg die pad na die Park.
                                                          [ V 3.4.3 ]
  
    
         3.4.1  From Petrus Streyn Gert follows
                   the R707 via Lindley and
                   Arlington to Senekal.
                                                              [ Q 3.4.1 ]
  
         3.4.2  Piet is wrong. The distance
                   from Viljoenskroon to Senekal
                   is greater than that from
                   Petrus Steyn to Senekal and
                   therefor he will drive longer.
                                                              [ Q 3.4.2 ]
  
         3.4.3  From Senekal they follow the N5
                   via Paul Roux and Bethlehem.
                   After Bethelehem they turn off
                   the N5 onto the R711 to
                   Clarens and then follow the
                   road to the Park.
                                                              [ Q 3.4.3 ]