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Freida from Little Chalfont Primary School and Richard from Wilson's School found one way of starting at $y = 4x + 7$ and ending at $y = 4x-2$:
Sophie, Evie and Sinthu from Dr Challoner's High School also started with the same two reflections but then switched the translations and still ended at $y = 4x-2$:
Keira, Christina and Amy, also from Dr Challoner's High School, explained why they also started with a pair of reflections:
Jack from Hertford South Primary drew a table of all the possibilities and explains:
Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?
The centre of the larger circle is at the midpoint of one side of an equilateral triangle and the circle touches the other two sides of the triangle. A smaller circle touches the larger circle and two sides of the triangle. If the small circle has radius 1 unit find the radius of the larger circle.
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?