Reflections

problem
Rose

Age

16 to 18

Challenge level

What groups of transformations map a regular pentagon to itself?
problem
Surprising transformations

Age

14 to 16

Challenge level

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?
problem
HexPentas

Age

5 to 11

Challenge level

How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?
problem
Reflecting lines

Age

11 to 14

Challenge level

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
problem
Semaphore

Age

11 to 14

Challenge level

I am standing behind five pupils who are signalling a five-digit number to someone on the opposite side of the playground. What number is actually being signalled?
problem
Potatoes

Age

11 to 14

Challenge level

Weekly Problem 19 - 2009
When I looked at the greengrocer's window I saw a sign. When I went in and looked from the other side, what did I see?
problem
Flagged up

Age

11 to 14

Challenge level

Weekly Problem 31 - 2008
The flag is given a half turn anticlockwise about the point O and is then reflected in the dotted line. What is the final position of the flag?
problem
The fire-fighter's car keys

Age

14 to 16

Challenge level

A fire-fighter needs to fill a bucket of water from the river and take it to a fire. What is the best point on the river bank for the fire-fighter to fill the bucket ?.
problem
...on the wall

Age

11 to 14

Challenge level

Explore the effect of reflecting in two intersecting mirror lines.
problem
Mirror, mirror...

Age

11 to 14

Challenge level

Explore the effect of reflecting in two parallel mirror lines.