WISKUNDIGE GELETTERDHEID
GRAAD 10
NOG OEFENINGE
Kaarte, roetes en reise
MATHEMATICAL LITERACY
GRADE 10
MORE EXERCISES
Maps, routes and trips
Kaart / Map : Map Studio : Southern Africa Road Atlas 1st edition
Die kaart hierbo is 'n roetekaart
van Kimberley na Kaapstad.
Gebruik die kaart om die
volgende vrae te antwoord :
1.1 Hoe ver, volgens die roetekaart,
is Kaapstad vanaf Kimberley?
[ A 1.1 ]
1.2 Watter hoofpad volg jy vanaf
Kimberley na Kaapstad?
[ A 1.2 ]
1.3.1 Hoe ver is Strydenburg
vanaf Britstown?
[ A 1.3.1 ]
1.3.2 Watter ander twee dorpe is
dieselfde afstand van mekaar?
[ A 1.3.2 ]
1.4 Watter twee dorpe, behalwe
Kimberley en Kaapstad, is die
verste van mekaar? Noem
die dorpe en die afstand.
[ A 1.4 ]
1.5 Watter hoofpad volg jy vanaf
Prieska na die N12?
[ A 1.5 ]
1.6 Naby watter dorp kan jy afdraai
na Sutherland en met watter
pad sal jy ry?
[ A 1.6 ]
1.7 Hoe ver is
1.7.1 Laingsburg vanaf Kimberley?
[ A 1.7.1 ]
1.7.2 Victoria Wes vanaf Kaapstad?
[ A 1.7.2 ]
1.8 Beskryf hoe jy vanaf die N1
na Malmesbury sal ry.
[ A 1.8 ]
1.9 Jy draai van die N1 af op die R44.
Na watter dorp is jy op pad?
[ A 1.9 ]
1.10.1 Op die N1 ry jy dear 'n tonnel. Wat
is die naam van hierdie tonnel?
[ A 1.10.1 ]
1.10.2 In plaas van om deur die tonnel
te ry kan jy oor 'n pas ry. Wat is
die naam van die pas?
[ A 1.10.2 ]
1.10.3 Naby Touwsrivier loop
die N1 oor 'n pas.
Wat word die pas genoem?
[ A 1.10.3 ]
1.11.1 Met watter pad sal jy oor
die Molteno Pas ry?
[ A 1.11.1 ]
1.11.2 Na watter dorp lei die pad?
[ A 1.11.2 ]
1.12 Na watter hoofpad draai die
R300 van die N1 af?
[ A 1.12 ]
1.13 In watter provinsie is Nelspoort?
[ A 1.13 ]
The accompanying map is a route
map or strip toute from Kimberley to
Cape Town. Use the map to answer the
following questions :
1.1 How far, according to the
route map, is Cape Town
from Kimberley?
[ A 1.1 ]
1.2 Which main road do you follow from
Kimberley to Cape Town?
[ A 1.2 ]
1.3.1 How far is Strydenburg
from Britstown?
[ A 1.3.1 ]
1.3.2 Which other two towns are
the same distance apart?
[ A 1.3.2 ]
1.4 Apart from Kimberley and Cape Town,
which two towns are the farthest
apart? Name the towns and
the distance.
[ A 1.4 ]
1.5 On which main road do you drive
fom Prieska to the N12?
[ A 1.5 ]
1.6 Near which town will you turn off
to Sutherland and which road
do you follow?
[ A 1.6 ]
1.7 How far is
1.7.1 Laingsburg from Kimberley?
[ A 1.7.1 ]
1.7.2 Victoria West from Cape Town?
[ A 1.7.2 ]
1.8 Describe how you turn off
the N1 to drive to Malmesbury.
[ A 1.8 ]
1.9 You turn off the N1 onto the R44.
To which town are you going?
[ A 1.9 ]
1.10.1 On the N1 you drive through a
tunnel. What is the name of this tunnel?
[ A 1.10.1 ]
1.10.2 Instead of driving through the
tunnel you drive over a pass.
What is the name of this pass?
[ A 1.10.2 ]
1.10.3 Near Touws River the
N1 passes over a pass.
What is this pass called?
[ A 1.10.3 ]
1.11.1 On which road will you find
the Molteno Pass?
[ A 1.11.1 ]
1.11.2 This road leads to which town?
[ A 1.11.2 ]
1.12 The R300 leaves the N1 to
join which main road?
[ A 1.12 ]
1.13 In which Province is Nelspoort?
[ A 1.13 ]
Kaart / Map : Map Studio : Southern Africa Road Atlas 1st edition
Die kaart hierbo is 'n roetekaart
van Johannesburg na Kimberley.
Gebruik die kaart om die
volgende vrae te antwoord :
2.1 Hoe ver, volgens die
roetekaart, is Kimberley
vanaf Johannesburg?
[ A 2.1 ]
2.2.1 Hoe ver is Windsorton Road
van Kimberley?
[ A 2.2.1 ]
2.2.2 Watter ander twee dorpe is
dieselfde afstand van mekaar?
[ A 2.2.2 ]
2.3 Hoe ver is
2.3.1 Bloemhof van Johannesburg?
[ A 2.3.1 ]
2.3.2 Wolmaranstad van Kimberley?
[ A 2.3.2 ]
2.3.3 Warrenton van Klerksdorp?
[ A 2.3.3 ]
2.4 Watter hoofpad gebruik jy om van
Johannesburg na Kimberley
te reis?
[ A 2.4 ]
2.5 Watter pad gebruik jy om van
Potchefstroom na Parys
te reis?
[ A 2.5 ]
2.6 Van Klerksdorp af volg jy
die R503. Watter dorp wil
jy bereik?
[ A 2.6 ]
2.7 Beskryt hoe jy vanaf die N12
Schweizer-Reneke sal bereik.
[ A 2.7 ]
2.8 In watter Provinsie vind jy
2.8.1 Fochville?
[ A 2.8.1 ]
2.8.2 Jan Kempdorp?
[ A 2.8.2 ]
2.9 Beskryt hoe jy vanaf die
N12 na Ganspan sal ry.
[ A 2.9 ]
2.10 Deur watter Provinsies reis
jy terwyl jy van Johannesburg
af na Kimberley ry.
[ A 2.10 ]
2.11 Watter rivier vloei in die
Bloemhof dam in?
[ A 2.11 ]
2.12 Watter twee dorp kan jy met
die R64 bereik?
[ A 2.12 ]
The accompanying map is a route
map/strip route from Johannesburg
to Kimberley. Use the map to answer
the following questions :
2.1 How far, according to the
route map, is Kimberley
from Johannesburg?
[ A 2.1 ]
2.2.1 How far is Windsorton Road
from Kimberley?
[ A 2.2.1 ]
2.2.2 Which other two towns are
the same distance apart?
[ A 2.2.2 ]
2.3 How far is
2.3.1 Bloemhof from Johannesburg?
[ A 2.3.1 ]
2.3.2 Wolmaranstad from Kimberley?
[ A 2.3.2 ]
2.3.3 Warrenton from Klerksdorp?
[ A 2.3.3 ]
2.4 Which main road do you use
to travel from Johannesburg
to Kimberley?
[ A 2.4 ]
2.5 Which road will you use
to travel from Potchefstroom
to Parys?
[ A 2.5 ]
2.6 From Klerksdorp you follow the
R503. Which town do you want
to reach?
[ A 2.6 ]
2.7 Describe how you would drive
from the N12 to Schweizer-Reneke.
[ A 2.7 ]
2.8 In which Province will you find
2.8.1 Fochville?
[ A 2.8.1 ]
2.8.2 Jan Kempdorp?
[ A 2.8.2 ]
2.9 Describe how you would drive
from the N12 to Ganspan.
[ A 2.9 ]
2.10 Through which Provinces do
you drive when driving from
Johannesburg to Kimberley?
[ A 2.10 ]
2.11 Which river flows into the
Bloemhof Dam?
[ A 2.11 ]
2.12 Which two towns can you reach
by driving on the R64?
[ A 2.12 ]
Kaart / Map : Map Studio : Tourist Map South Africa 4th edition
Die kaart hierbo is 'n kaart van
'n gedeelte van die Vrystaat.
Gebruik die kaart om die volgende
vrae te beantwoord :
3.1 Hoe ver, volgens die
kaart, is Springfontein
vanaf Bloemfontein?
[ A 3.1 ]
3.2 Wat is die rigting van
3.2.1 Heilbron van Petrus Steyn?
[ A 3.2.1 ]
3.2.2 Senekal van Viljoenskroon?
[ A 3.2.2 ]
3.3.1 Op die kaart is die afstand
van Heilbron na Petrus Steyn
18 mm. Die werklike afstand
van Heilbron na Petrus Steyn
is 45 km. Toon aan dat die skaal
van die kaart 1 : 2 500 000 is.
Toon al jou berekeninge.
[ A 3.3.1 ]
3.3.2 Op die kaart is die afstand van
Viljoenskroon na Kroonstad
2,3 cm. Bereken die werklike afstand.
[ A 3.3.2 ]
3.3.3 Hoe ver, volgens die kaart is
Hoopstad van Wesselsbron?
[ A 3.3.3 ]
3.3.4 Wat sal die afstand op die kaart
wees? Toon al jou berekeninge.
[ A 3.3.4 ]
3.4 Die Golden Gate Highlands
Nasionale Park is naby Clarens
in die Oos Vrystaat geleë.
Twee vriende. Piet en Gert
besluit om die Park te besoek.
Piet kom van Viljoenskroon
en Gert van Petrus Steyn.
Hulle besluit om in Senekal
te ontmoet.
3.4.1 Beskryf die roete wat Gert
sal volg,
[ A 3.4.1 ]
3.4.2 Piet beweer dat as hulle albei
hulle tuistes om 10:00 verlaat,
hulle gelyktydig in Senekal
sal aankom. Is sy bewering
korrek? Gee redes vir jou antwoord.
[ A 3.4.2 ]
3.4.3 Beskryf die roete wat hulle van
Senekal na die Park sal volg,
[ A 3.4.3 ]
The map above is a map of part of
the Freestate Province.
Use the map to answer the
following questions :
3.1 How far, according to the
map is Springfontein
from Bloemfontein?
[ A 3.1 ]
3.2 What is the direction of
3.2.1 Heilbron from Petrus Steyn?
[ A 3.2.1 ]
3.2.2 Senekal from Viljoenskroon?
[ A 3.2.2 ]
3.3.1 On the map the distance
from Heilbron to Petrus Steyn
is 18 mm. The real distance
from Heilbron to Petrus Steyn
is 45 km. Show that the scale of .
the map is 1 : 2 500 000. Show
all your calculations.
[ A 3.3.1 ]
3.3.2 On the map the distance from
Viljoenskroon to Kroonstad is
2,3 cm. Calculate the real distance.
[ A 3.3.2 ]
3.3.3 How far, according to the map,
is Hoopstad from Wesselsbron?
[ A 3.3.3 ]
3.3.4 What will the distance on the
map be? Show all your calculations.
[ A 3.3.4 ]
3.4 The Golden Gate Highlands National
Park is situated near Clarens in the
Eastern Free State.
Two friends, Piet and Gert decide to
visit the Park.Piet will come from
Viljoenskroon and Gert will come from
Petrus Steyn. They decide to meet
at Senekal.
3.4.1 Describe the route that Gert
will follow.
[ A 3.4.1 ]
3.4.2 Piet states that if they both leave
their homes at 10:00 they will arrive
simultaneously at Senekal.
Is his statement correct? Give
reasons for yout answer.
[ A 3.4.2 ]
3.4.3 Describe the route that they
will follow from Senekal to the Park.
[ A 3.4.3 ]
Kaart / Map :
Vraestel / Question paper : Province of Eastern Cape Grade 10 Mathematical Literacy November 2020 Paper 2
Die kaart hierbo is 'n kaart van
die Republiek van Suid-Afrika.
Gebruik die kaart om die volgende
vrae te beantwoord :
4.1 Watter tipe skaal word op die kaart
aangedui en hoe word die skaal
geïnterpreteer?
[ A 4.1 ]
4.2 Jy wil van Bergville na
Graaf-Reinet vlieg.
4.2.1 In watter algemene rigting
sal jy vlieg?
[ A 4.2.1 ]
4.2.2 Oor watter provinsies en
lande sal jy vlieg?
[ A 4.2.2 ]
4.3 Wat is die algemene rigting van
Bloemfontein vanaf Kaapstad?
[ A 4.3 ]
4.4 Bereken die reguit lyn afstand,
korrek tot die naaste kilometer,
van Sabie na Beaufort Wes as
die afstand op die kaart 9 cm is.
[ A 4.4 ]
4.5 Bereken die afstand op die kaart,
korrek tot die naaste millimeter,
van Lambertsbaai na Calvinia as
die reguit lyn afstand 195 km is.
[ A 4.5 ]
The map above is a map of the
Republic of Sout Africa.
Use the map to answer the
following questions :
4.1 What type of the scale is given
on the map and how is it
interpreted?
[ A 4.1 ]
4.2 You want to fly from Bergville
to Graaf-Reinet.
4.2.1 In what general direction would
you fly?
[ A 4.2.1 ]
4.2.2 Over which provinces and countries
would you fly?
[ A 4.2.2 ]
4.3 What is the general direction of
Bloemfontein from Cape Town?
[ A 4.3 ]
4.4 Calculate the straight line distance,
correct to the nearest kilometer,
from Sabie to Beaufort West if the
distance on the map is 9 cm.
[ A 4.4 ]
4.5 Calculate the distance on the map,
correct to the nearest millimeter,
from Lamberts Bay to Calvinia if
the straight line distance is 195 km.
[ A 4.5 ]