WISKUNDIGE GELETTERDHEID
GRAAD 10
NOG OEFENINGE
Kaarte, roetes en reise : antwoorde
MATHEMATICAL LITERACY
GRADE 10
MORE EXERCISES
Maps, routes and trips : answers
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 ]
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 ]
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 ]
4.1 Verhoudingskaal.
1 eenheid op die kaart stel
15 000 000 werklike eenhede
voor.
[ V 4. ]
4.2.1 Suid Wes
[ V 4.2.1 ]
4.2.2 Kwa-Zulu Natal, Lesotho en
Oos Kaapprovinsie
[ V 4.2.2 ]
4.3 Noordoos
[ V 4.3 ]
4.1 Ratio scale,
1 unit on the map represents
15 000 000 real units.
[ Q 4.1 ]
4.2.1 South West
[ Q 4.2.1 ]
4.2.2 Kwa Zulu Natal, Lesotho and
Eastern Cape Province.
[ Q 4.2.2 ]
4.3 North East
[ Q 4.3 ]
4.4 1
: 15 000 000 . . . Skaal / Scale
1 cm
: 15 000 000 cm
9 cm
: 9 X 15 000 000 cm
9 cm
: 135 000 000 ÷ (100 X 1 000) km
9 cm
: 1 350 km
Die afstand vanaf Sabie na Beaufort Wes is 1 350 km.
The distance from Sabie to Beaufort West is 1 350 km.
[ V / Q 4.4 ]
4.5 195 km = 195 X 1 000 X 1 000 mm
= 195 000 000 mm
15 000 000
: 1 . . . Skaal / Scale
15 000 000 mm
: 1 mm
1
1 mm
: ───────── mm
15 000 000
1
195 000 000 mm
: ───────── X 195 000 000 mm
15 000 000
195 000 000 mm
: 13 mm
Die afstand op die kaart is 13 mm. / The distance on the map is 13 mm.
[ V / Q 4.5 ]