At school this week, we were due a visit from a representative of our chosen charity, 'Dorset and Somerset Air Ambulance'. We would you to think about the key workers in our community and then select one of them and write a letter of thanks to them for the essential work that they are doing during the lockdown. This could be an individual worker or to the service as a whole. Why is their work so essential to us at this time? What would happen if they were not working? What sacrifices have they had to make to continue going to work?
Take care with this week’s one because scale factors are often where people go wrong. If something increases by a scale factor of 2, it does not get two times bigger. Think about why not as you watch the video and complete today’s challenge:
Sensationally Sinister Problem Solving Challenge of the Week:
Some sensational answers last week – congratulations to BlondePanda11, Wolvesfan8 and StrawberrySundaeSuperGirl for their answers. Apologies to the Masked Mathematician whose video answer seems not to be uploading...
This one is perhaps Mr Reynolds' favourite puzzle...
A chessboard is an 8 x 8 grid. The Queen can move up, down, left, right and diagonally as far as she likes. If there is another piece in the way, the queen can take them.
The Eight Queens puzzle is a famously difficult puzzle – can you fit 8 queens onto a chessboard without them being able to take each other?
This challenge is insanely difficult. However, a good starting point is smaller boards and fewer queens.
Four Queens: If you had a 4 x 4 grid, how can you fit four queens on a chessboard?
Five Queens: How could you fit 5 queens on a 5 x 5 chessboard?
Six Queens: What about 6 queens onto a 6 x 6 chessboard?
Seven Queens: Or a 7x7 chessboard with 7 queens?
Remember, they absolutely cannot take each other so check to see if there is another queen vertically, horizontally or diagonally.
How many Queen problems can you solve? Can you crack the 4 Queens problem? What about the 5 Queens problem?
Send photographs of your chessboards or diagrams as you come across them and let’s see who can solve this sensationally sinister logic puzzle.
Are you bored of being housebound? Perhaps it’s time to go on a virtual world tour! On Google Maps (https://www.google.co.uk/maps/) you can drag the little orange person in the right hand corner onto the map to see Street View. Using Street View, we would like you to plot a world tour that includes at least three different biomes. Make sure to jot down where your locations were and what they were like!