Problem solving maths challenge week 8 Room 7/8

Here is your problem solving challenge:

1. Individually, you will need to try and complete the questions for 15 mins on your own. 

2. Secondly, you need to get in a group 2,3 or 4 people and discuss your answers. Record your discussion on a device and send it to Miss Adin or Mr Morris as proof. Challenge each others answers and find out why you got similar or dissimular answers. 

Printouts of the questions are under the TV. 

1. 544 and 760 are both three-digit numbers whose digits add to 13.
   
   What is the smallest three-digit number whose digits add to 13?
   
   
   
2. Bob managed to colour the different regions in this map using just three colours: red, green and blue. He did it so that no two adjacent regions had the same colour.
   
   If he coloured region 1 blue and region 2 red, what colour did he use for region X?
   
   
   
3. Supa Cycles make both two-wheeled bicycles and three-wheeled tricycles. Last week they made 12 in total, and used 31 wheels. How many tricycles did they make?
   
   
   
4. Enter one A, one B and one C in each row and column of this design of 16 squares, leaving four squares empty. When viewed along one of the arrows the first letter you must see is the letter given.
   
   Give the last row from left to right, using * for the empty square (e.g. A*BC).
   
   
   
   
5. One-tenth of the cars in a car park are yellow. Another car arrives and now one-ninth of the cars are yellow. How many cars are now in the car park?