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The Lily Pond

Freddie Frog visits as many of the leaves as he can on the way to see Sammy Snail but only visits each lily leaf once. Which is the best way for him to go?

A Cartesian Puzzle

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

Transformation Tease

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?

Eight Hidden Squares

Age 7 to 14
Challenge Level

Lots of school groups handed in excellent solutions to this problem.
Well done particularly to Ramu and Atasha from Brookland Primary School for their answers:
 
Square 1 - (1,0) , (1,3) , (4,0) , (4,3)
Square 2 - (1,3) , (0,7) , (5,4) , (4,8)
Square 3 - (20,1) , (16,1) , (16, 5) , (20,5)
Square 4 - (0, 13) , (8,7) , (20,5) , (15,12)
Square 5 - (12,7) , (12,14) , (19,7) , (19,14)
Square 6 - (12,14) , (8,18) , (12,22) , (16,18)
Sqaure 7 - (5,11) , (11,12) , (10,18) , (4,17)
Sqaure 8 - (0,14) , (3,10) , (7,13) , (4,17)
 
The Year 4s from Bradfield Dungworth sent in their picture:
 As


As did the Year 6s from Wingrave C of E:
 
 
Congratulations everyone!