Sommertraining Mathematik 4, Arbeitsheft

20 21 A Journey to England The Journey This summer you are travelling to England with your best friend. You will spend a few days in the city of London, but you will also explore other parts of the country, for instance Stonehenge. You planned your whole trip and already bought tickets to some of the attractions. What have you planned each day? Solve the exercises! Monday The London underground has a total length of 250 mi (miles) and drives at an average speed of 20,5 mph (miles per hour). How many hours would it take to drive through all the stations? Tuesday The longest continuous tunnel in the Lon- don Underground runs between East Finch- ley and Morden. At a speed of 28,75 mph it takes 36 min to drive through the tunnel. How long is the tunnel? Wednesday The distance between the Tuesday and the Wednesday destination is 76,95 mi. It takes 2 h 6 min to get there by train. Calculate the average speed (mi/h). Thursday You and your friends won tickets to one of the famous horse races in England! The hor- se “Black Lightning” needs exactly 2 minu- tes to finish the race, the horse “White Star” needs 2 minutes 15 seconds. The average speed of “Black Lightning” is 7 km/h higher than “White Star’s”. Calculate the length of the course in meters. Friday As you are already there, you also want to visit the Castle in town. You checked the direction on your smartphone. It is 2,6 km away and takes 38 min to get there. Calcula- te the average speed the app used. Saturday After your trip you take the train back to London. The train departs at 17:03 and arrives in London at 19:21. The distance is 135 km. What is the average speed (in km/h)? Sunday This is the day you have to fly home! The flight from London to Vienna departs at 3:20 pm in London and arrives at 6:40 pm in Vienna. How long does the flight take (in minutes)? It’s teatime London’s most famous teaseller wants to offer a new mixture of two different sorts. He mixes 5 pounds “Queen’s Blend”, which costs 9 £ per pound, with “London Darling”, which costs 18,25 £ per pound. He wants to offer this newly created mixture for 12 £ per pound. How many pounds of “London Darling” does he have to use to get his desired mixture? Can you think of a catchy name for this new product? He needs kg of “London Darling”. Catchy name: Shopping in London Mary spent her holiday in England doing a great deal of shopping in London. Find out what Mary bought on her trip by checking which tables define a function. What did Mary buy? What a rainy trip! Before the trip Marina checked the temperature (in °C) and the amount of rainfall (in mm) for two weeks. She has put all the data into a table: temperature (°C) 27 30 21 18 20 22 23 24 26 27 19 24 26 25 rainfall (mm) 2 2 0 1 6 1 3 1 0 0 7 0 0 1 Show this data in a scatterplot 1 ! Fill in the fourfold table 2 ! Interpret the data with your own words! 1 scatterplot = Streudiagramm 2 fourfold table = Vierfeldertafel temperature (°C) rainfall (mm) 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 15 Which attractions would you like to visit on your journey to England? •  •  •  London Eye 140 Churchill War Rooms 58,7 Tower of London 17,25 Big Ben 12,2 White Cliffs of Dover 4,1 Stonehenge 36,64 Durdle Door 2100 rainfall <3 mm ≥3 mm sum tempe- rature <24 °C ≥24°C sum x 1 1 1 1 y 2 3 4 5 x 1 2 3 4 y 5 3 –1 –3 x 1 2 3 4 y –2 –2 –2 –2 x 1 2 3 4 y 5 7 9 11 x 1 2 3 4 y 1 2 1 2 x 1 2 1 2 y 2 3 4 5 Big Ben 2,4 a cap, icecream, sunglasses and sneakers There is a tendency that warmer days are dryer and colder days are wetter. 3 8 11 3 0 3 6 8 14 Tower of London Stonehenge Durdle Door White Cliffs of Dover Churchill War Room London Eye 2 3 5 6 Nur zu Prüfzwecken – Eigentum des Verlags öbv