WISKUNDIGE GELETTERDHEID
NOG OEFENINGE

Koers, verhouding en eweredigheid : antwoorde

MATHEMATICAL LITERACY
MORE EXERCISES

Rate, ratio and proportion : answers

1.1  Meer aartappels sal meer kos.
[ V 1.1 ]

1.2  Direkte eweredigheid.
[ V 1.2 ]

1.1  More potatoes will cost more.
[ Q 1.1 ]

1.2  Direct proportion
[ Q 1.2 ]

1.3    4 kg aartappels kos / potatoes cost  R 28,45

28,45
1 kg aartappels kos / potatoes cost  R ──────
4

28,45
15 kg aartappels kos / potatoes cost  R ──────  X  15
4

d.i. / i.e.  R106,69

15 kg aartappels kos / potatoes cost R106,69                                                                       [ V / Q 1.3 ]

1.4    R28,45 is die prys van / the price of 4 kg aartappels / potatoes

4
R 1 is die prys van / price of   ──────    aartappels / potatoes
28,45

4
R 77,10 is die prys van / price of   ──────  X  77,10    aartappels / potatoes
28,45

d.i. / i.e.  10,84 kg

10,84 kg aartappels kos / potatoes cost R77,10                                                                   [ V / Q 1.4 ]

2.1    3 pampoene kos / pumpkins cost  R 38,25

38,25
1 pampoen kos / pumpkin costs  R ──────
3

38,25
8 pampoene kos / pumpkins cost  R ──────  X  8
3

d.i. / i.e.  R102,00

8 pampoene kos / pumpkins cost R102,00                                                             [ V / Q 2.1 ]

2.2    R38,25 koop / buys 3 pampoene / pumpkins

3
R 1 koop / buys    ──────    pampoene / pumpkins
38,25

4
R 63,75 koop / buys   ──────  X  63,75    aartappels / potatoes
28,45

d.i. / i.e.  5

5 pampoene kos / pumpkins cost R63,75                                                               [ V / Q 2.2 ]

3.1  34,25 ℓ petrol kos R655,55

655,55
1 ℓ petrol kos  R ─────
34,25

655,55
68,21 ℓ petrol kos  R ─────  X  68,21
34,25

68,21 ℓ petrol kos  R 1 305,55

[ V 3.1 ]

3.2  R655,55 koop 34,25 ℓ petrol

34,25
R 1 koop ───── ℓ petrol
655,55

34,25
R 816,20 koop ───── X 816,20 ℓ
655,55

R 816,20 koop 42,643 ℓ petrol.

[ V 3.2 ]

3.1  34,25 ℓ of petrol costs R655,55

655,55
1 ℓ of petrol costs  R ─────
34,25

655,55
68,21 ℓ of petrol costs  R ─────  X  68,21
34,25

68,21 ℓ of petrol costs  R 1 305,55

[ Q 3.1 ]

3.2  R655,55 buys 34,25 ℓ of petrol

34,25
R 1 buys ───── ℓ of petrol
655,55

34,25
R 816,20 buys ───── X 816,20 ℓ
655,55

R 816,20 buys 42,643 ℓ of petrol.

[ Q 3.2 ]

4.1  9 km im 36,5 minute

36,5
1 km in    ─────  minute
9

36,55
21 km in   ─────  X  21  minutes
9

21 km in   85,17 minute  =  1 h 25,17 m

[ V 4.1 ]

4.1  9 km in 36,5 minutes

36,5
1 km in  ───── minutes
9

36,5
21 km in  ─────  X  21 minutes
9

21 km in 85,17 minutes = 1 h 25,17 m

[ Q 4.1 ]

4.2    In 36,5 minute / minutes hardloop hy / he runs 9 km

9
In 1 minuut / minute hardloop hy / he runs  ──────  km
36,5

9
In 55,8 minute / minutes hardloop hy / he runs  ──────  X  55,8  km
36,5

d.i. / i.e.  13,759  km

In 55,8 minute / minutes hardloop hy / he runs 13,759 km                                          [ V / Q 4.2 ]

5.1    In 33,4375 minute / minutes ry dit / it travels 53,5  km

53,5
In 1 minuut / minute ry dit / it travels  ───────  km
33,4375

53,5
In 60 minute / minutes ry dit / it travels  ───────  X  60  km
33,4375

d.i. / i.e.  96  km

Spoed van mtor / Speed of car is 96 km/h                                                                  [ V / Q 5.1 ]

5.2    In 33,4375 minute / minutes ry die motor / the car travels 53,5  km

53,5
In 1 minuut / minute ry die motor / the car travels  ───────  km
33,4375

53,5
In 3,5 X 60 minute / minutes ry die motor / the car travels  ────────  X  3,5 X 60  km
33,4375

d.i. / i.e.  336  km

Afstand gery / Distance traveled is 336 km                                                              [ V / Q 5.2 ]

OF / OR

In 1 uur / hour ry die motor / the car travels 96 km    . . . . Van / From  5.1

In 3,5 uur / hours ry die motor / the car travels 96 X 3,5  km

d.i. / i.e.  336  km

Afstand gery / Distance traveled is 336 km                                                             [ V / Q 5.2 ]

5.3    Die motor ry / The car travels 53,5 km in 33,4375 minute / minutes

33,4375
Die motor ry / The car travels 1 km in  ───────  minute / minutes
53,5

33,4375
Die motor ry / The car travels 38,7 km in  ───────  X 38,7  minute / minutes
53,5

d.i. / i.e.  24,19  minute / minutes

Dit neem 24.19 minute om 38,7 km te ry.  /  It takes 24,19 minutes to travel 38,7 km.

[ V / Q 5.3 ]

OF / OR

Die motor ry / The car travels 96 km in 60 minute / minutes

60
Die motor ry / The car travels 1 km in  ────  minute / minutes
96

60
Die motor ry / The car travels 38,7 km in  ────  X 38,7  minute / minutes
96

d.i. / i.e.  24,19  minute / minutes

Dit neem 24.19 minute om 38,7 km te ry.  /  It takes 24,19 minutes to travel 38,7 km.

[ V / Q 5.3 ]

6.1    1 brood lewer / loaf of bread gives 17 snye / slices.

6 brode lewer / loaves of bread give 6 X 17 snye / slices.

d.i. / i.e.  102 snye / slices

3 snye / slices voed / feeds 1 kind / child.

1
1 sny / slice voed / feeds ── kind / child.
3

1
102 snye / slices voed / feeds ──  X  102  kinders / children.
3

d.i. / i.e.   34  kinders / children                                              [ V / Q 6.1 ]

7.1  meer liter is nodig                       [ V 7.1 ]

7.2  Direkte eweredigheid                  [ V 7.2 ]

7.1  More liters                        [ Q 7.1 ]

7.2  Direct proportion              [ Q 7.2 ]

7.3    31,947 km  gebruik / uses   2,3  ℓ

2,3
1  km   gebruik / uses   ──────     ℓ
31,947

2,3
100  km   gebruik / uses   ──────  X  100   ℓ
31,947

d.i. / i.e.  7,199  ℓ

7,199  ℓ  word benodig / is needed.                                                                            [ V / Q 7.3 ]

7.4      2,3 ℓ  is nodig vir / needed for  31,947  km

2,3
1  ℓ  is nodig vir  / needed for   ──────   km
31,947

2,3
18,6  ℓ  is nodig vir  / needed for   ──────   X 18,6  km
31,947

d.i. / i.e.  258,354  km

Afstand is  /  Distance is  258,354 km                                                                   [ V / Q 7.4 ]

8.1  1 koppie = 147 g
2 koppies = 147 X 2 g
= 294 g < 300 g
Sy het genoeg meel.           [ V 8.1 ]

8.2  1 koppie melk = 250 mℓ
½ koppie = 250 X ½ mℓ
= 125 mℓ             [ V 8.2 ]

8.1  1 cup = 147 g
2 cups = 147 X 2 g
= 294 g < 300 g
She has enough flour.           [ Q 8.1 ]

8.2  1 cup of milk = 250 mℓ
½ cups = ½ X 250 mℓ
= 125 mℓ                     [ Q 8.2 ]

8.3    1  teelepel / teaspoon  =  5  mℓ

3  teelepels / teaspoons  =  3 X 5  mℓ

=  15  mℓ

250 mℓ  suiker weeg / sugar weighs  200  g

200
1 mℓ  suiker weeg / sugar weighs  ────  g
250

200
15 mℓ  suiker weeg / sugar weighs  ────  X  15  g
250

d.i. / i.e.  12  g

Sy het 12 g suiker nodig  /  She needs 12 g of sugar.                                            [ V / Q 8.3 ]

5
8.4      T  =   ── ( 450  ─  32 )  °C
9

=  232,22  °C                                                                                                     [ V / Q 8.4 ]