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  1. Surveys
  2. 2017
  3. June
  4. A
  5. Analytical Test
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Complete the following series of numbers in a reasonable way: 

  1. 1)  1 – 4 – 11 – 30 – 85 – ?

    2)  6 – 8 – 11 – 16 – 23 – 34 – ?

    3) 15     – 17 – 21 – 29 – 45 – ?

    4)  2 – 8 – 12 – 48 – 52 – ?

   
 
 
 

  1. Peter is driving with his brand-new Ferrari on the Autobahn. After doubling his initial speed first and then reducing it by 25%, Peter drives at a speed of 120 km/h. What was his initial driving speed? 

   
 
 
 

  1.  A stone weighs 6 kg plus a quarter of the stone’s weight. How much does the stone weigh? 

   
 
 
 

  1.  Peter is driving 45 km with a motorboat on a river from Hamburg to Stade. On his way to Stade, he takes advantage of the current and drives 30 km/h. On his way back, he drives against the current at 15 km/h. What is the average speed of both ways? 

   
 
 
 

  1. 8)  Peter is driving 45 km with a motorboat on a river from Hamburg to Stade. On his way to Stade, he takes advantage of the current and drives 30 km/h. On his way back, he drives against the current at 15 km/h. What is the average speed of both ways? 

   
 
 
 

  1.  Half the value of a number and a sixth of the same number sum up to 24. What is the corresponding number? 

   
 
 
 

  1.   240 kg of soil have to be removed from the garden of Peter’s father. Peter would need 2 hours to do it on his own, but fortunately, he has invited two friends (Paul and Pascal) to help him. Paul would need 3 hours on his own and Pascal 6 hours. How much time do the three friends need to remove the soil together? 

   
 
 
 

  1. 11)  240 kg of soil have to be removed from the garden of Peter’s father. Peter would need 2 hours to do it on his own, but fortunately, he has invited two friends (Paul and Pascal) to help him. Paul would need 3 hours on his own and Pascal 6 hours. How much time do the three friends need to remove the soil together? 

   
 
 
 

  1.  Peter builds the cathedral of Cologne on a scale of 1:200. His model weights 64 kg. He wonders: What would be the weight of a model on a scale of 1:100?