Vintage cars

Vintage cars

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This task is about distance time and speed.

     

Some vintage cars were travelling in a car rally.

Question 1Change answer

a) The first car took an average time of 2 minutes for every kilometre it travelled.

    i)  How long did it take the car to travel 300 kilometres? 

    ii) What was its average speed?  km/h

Question 1Change answer

vintage car

b) A second car travelled at an average speed of 50 kilometres per hour.

    How long did it take this car to travel 225 kilometres?  hours

Question 1Change answer

vintage car

c) Another car took an average time of 1 minute 15 seconds for every kilometre it travelled.

    i)  How long did it take this car to travel 160 kilometres?  

    ii) What was its average speed?  km/h

Task administration: 
This task can be completed with pencil and paper or online (with auto marking displayed to students).
Level:
5
Keywords: 
Description of task: 
Students convert speeds of vintage cars into kilometres per hour, and calculate distances travelled at these speeds.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y10 (11/99)

a)

i)
ii)

600 minutes or 10 hours
30 [Accept 300 ÷ answer to a) i) in hours]

easy
moderate

b)

 

Any 1 of:

  • 270 minutes
  • 4 hours 30 minutes
  • 4.5 hours

easy

c)

i)

 

 
 
ii)

Any 1 of:

  • 200 minutes
  • 3 hours 20 minutes
  • 3.33 hours

48 [Accept 160 ÷ answer to b) i) in hours]

very difficult

 

 
 
difficult

Diagnostic and formative information: 
 

Common error

Likely calculation

Likely reason

a) i)
 
 
 
    ii)

6 hour
150 min
1 hr 50 min
 
60

600 ÷ 100
300 ÷ 2
300 ¸ 2
 
600 ÷ 10

Assumes 1 hour = 100 minutes.
Divides instead of multiplies.
Divides instead of multiplies and assumes 1 hour = 100 minutes.

c) i)

184 min
3 hrs 4 min

160 × 1.15

Assumes 15 min = 0.15 hours.