WISKUNDIGE GELETTERDHEID
GRAAD 10
NOG OEFENINGE
  
Koers, verhouding en eweredigheid
  
MATHEMATICAL LITERACY
GRADE 10
MORE EXERCISES
  
Rate, ratio and proportion
  
  
Vraag  / Question  1  
  
    
         Vier kilogram aartapples kos R28,45.
  
         1.1  Sal 15 kg aartappels minder
                of meer kos?
                                                         [ A 1.1 ]
         1.2  Watter soort eweredigheid
                is dit die?
                                                         [ A 1.2 ]
         1.3  Wat sal 15 kg aartappels kos?
                                                         [ A 1.3 ]
         1.4  Hoeveel kilogram aartappels sal
                R77,10 kos?
                                                         [ A 1.4 ]
    
         Four kilogram of potatoes cost R28,45.
  
         1.1  Will 15 kg of potatoes cost
                more or less?
                                                               [ A 1.1 ]
         1.2  What kind of proportion is this?
                                                               [ A 1.2 ]
         1.3  What will 15 kg of potatoes cost?
                                                               [ A 1.3 ]
         1.4  How many kilograms of potatoes
                will cost R77,10?
                                                               [ A 1.4 ]
  
Vraag  / Question  2  
  
    
         Drie pampoene kos R38,25.
  
         2.1  Wat sal 8 pampoene kos?
                                                         [ A 2.1 ]
    
         2.2  Hoeveel pampoene kan jy
                vir R63,75 koop?
                                                         [ A 2.2 ]
    
         Three pumpkins cost R38,25.
  
         2.1  What will 8 pumpkins cost?
                                                               [ A 2.1 ]
    
         2.2  How many pumpkins can you
                buy for R63,75?
                                                               [ A 2.2 ]
  
Vraag  / Question  3  
  
    
         34,25 liter petrol kos R655,55.
  
         3.1  Wat sal 68,21 liter petrol kos?
                                                         [ A 3.1 ]
         3.2  Hoeveel liter petrol kos
                R816,20?
                                                         [ A 3.2 ]
  
    
         34,25 liters of petrol cost R655,55.
  
         3.1  What will 68,21 liters of petrol cost?
                                                               [ A 3.1 ]
         3.2  How many liters of petrol will
                cost R816,20?
                                                               [ A 3.2 ]
  
  
Vraag  / Question  4  
  
    
         'n Seun hardloop 9 km in 36,5 minute.
         Aanvaar dat hy teen dieselfde
         spoed hardloop en beantwoord
         dan die volgende vrae :

         4.1  Hoe lank sal hy neem om
                21 km te hardloop?
                                                         [ A 4.1 ]
    
         4.2  Hoe ver kan hy in 55,8 minute
                hardloop?
                                                         [ A 4.2 ]
  
    
         A boy runs 9 km in 36,5 minutes.
         Accept that he maintains the same
         speed and the answer the
         following questions :

         4.1  How long will it take him to
                run 21 km?
                                                               [ A 4.1 ]

         4.2  How far does he run in
                55,8 minutes?
                                                               [ A 4.2 ]
  
  
Vraag  / Question  5  
  
    
         'n Motor ry 53,5 km in 33,4375 minute.
         Aanvaar dat dit teen dieselfde
         spoed ry en beantwoord dan
         die volgende vrae :
    
         5.1  Wat is die spoed van die
                motor in km/h?
                                                         [ A 5.1 ]
    
         5.2  Hoe ver sal die motor
                in 3,5 uur ry?
                                                         [ A 5.2 ]
    
         5.3  Hoe lank neem dit om
                38,7 km af te lê?
                                                         [ A 5.3 ]
  
    
         A car travels 53,5 km in 33,4375 minutes.
         Accept that the car maintains the same
         speed and answer the
         following questions :
    
         5.1  What is the speed of the car
                in km/h?
                                                               [ A 5.1 ]
    
         5.2  How far will the car travel
                in 3,5 hours?
                                                               [ A 5.2 ]
    
         5.3  How long will it take the car
                to travel 38,7 km?
                                                               [ A 5.3 ]
  
  
Vraag  / Question  6  
  
    
         'n Man sny 17 snye van 'n brood af.
         'n Kind kry 3 snye vir aandete.
         Hoeveel kinders kan met
         6 brode kos kry?
                                                         [ A 6. ]
    
         A man cuts 17 slices off a loaf of bread.
         A child gets 3 slices for supper.
         How many children can be fed with
         6 loaves of bread?
                                                               [ A 6. ]
  
Vraag  / Question  7  
  
  
         'n Motor ry 31,947 km met 2,3 liter petrol.
         2,3 liter petrol.
    
         7.1  Sal meer of minder petrol
                nodig wees om 100 km te ry?
                                                         [ A 7.1 ]
    
         7.2  Watter soort eweredigheid is die?
                                                         [ A 7.2 ]
    
         7.3  Hoeveel liter petrol is nodig
                om 100 km teen dieselfde
                verbruik, te ry?
                                                         [ A 7.3 ]
    
         7.4  Hoe ver kan die motor met
                18,6 liter petrol, teen
                dieselfde verbruik, ry?
                                                         [ A 7.4 ]
  
         A car travels 31,947 km using
         2,3 liters of petrol.
    
         7.1  Will more or less petrol be needed
                to travel 100 km?
                                                               [ A 7.1 ]
    
         7.2  What kind of proportion is this?
                                                               [ A 7.2 ]
    
         7.3  How many liters of petrol is
                needed to travel 100 km at
                the present consumption?
                                                               [ A 7.3 ]
    
         7.4  How far can the car travel
                using 18,6 liters of petrol
                at the present consumption?
                                                               [ A 7.4 ]
  
Vraag  / Question  8  
  
    
         Anna wil botterbroodjies vir ontbyt bak.
         Sy het die meegaande resep :
         8.1  Sy het 300 g meelblom. Sal sy
                genoeg meel hê om die broodjies
                te bak? Gegee dat 1 koppie
                meelblom se massa 147 g is.
                Toon al jou berekeninge.
                                                         [ A 8.1 ]
         8.2  Anna het nie 'n maatkoppie nie
                maar wel 'n maatbeker, gemerk
                in mℓ. Hoeveel mℓ melk het sy
                nodig as 1 koppie melk 'n
                volume van 250 mℓ het?
                Toon al jou berekeninge.
                                                         [ A 8.2 ]
         8.3  Die massa van 250 mℓ
                suiker is 200 g. Hoeveel gram
                suiker moet sy gebruik as
                1 teelepel = 5 mℓ?
                                                         [ A 8.3 ]
         8.4  Skakel 450 °F to °C.
                                        5
                Gebruik °C = ──  (°F - 32)
                                        9
                                                               [ A 8.4 ]
  

  

  


  
  
  
  
  
    
         Anne wants to bake scones for breakfast.
         She has the accompanying recipe :
         8.1  She has 300 g of flour. Does she have
                enough flour to bake the scones?
                Given that 1 cup of flour has a mass
                of 147 g. Show all your calculations.
                                                               [ A 8.1 ]
         8.2  Anne does not have a measuring cup.
                She has a measuring jar marked in mℓ.
                How many mℓ of milk does she need
                if 1 cup of milk has a volume of
                250 mℓ. Show your calculations.
                                                               [ A 8.2 ]
         8.3  The mass of 250 mℓ of sugar is 200 g.
                How many grams of sugar should she
                use if 1 teaspoon = 5 mℓ?
                                                               [ A 8.3 ]
         8.4  Convert 450 °F to °C.
                                  5
                Use °C = ──  (°F - 32)
                                 9
                                                               [ A 8.4 ]
  
  
  

  
  
  
  
  
Vraag  / Question  9  
  
    
         'n Koeldrank word gemaak deur
         2 dele konsentraat met 5 dele
         water te meng.

         9.1  Hoeveel water moet by 50 ml
                konsentraat gevoeg word?
                                                               [ A 9.1 ]
  
         9.2  Hoeveel konsentraat moet by
                500 ml water gevoeg word?
                                                               [ A 9.2 ]
  
         9.3  Jy wil 3 liter koeldrank aanmaak.
                Hoeveel konsentraat moet met
                hoeveel water gemeng word?
                                                               [ A 9.3 ]
  
    
         A cold drink is made by mixing
         2 parts of concentrate with
         5 parts of water.

         9.1  How many ml of water must be
                added to 50 ml of concentrate?
                                                               [ A 9.1 ]
  
         9.2  How much concentrate must be added
                to 500 ml of water?
                                                               [ A 9.2 ]
  
         9.3  You want to prepare 3 liters of
                cold drink. How much concentrate
                must be added to how much water?
                                                               [ A 9.3 ]