Translations

problem
It's times again

Age

7 to 14

Challenge level

Which way of flipping over and/or turning this grid will give you the highest total? You'll need to imagine where the numbers will go in this tricky task!
problem
Poly plug pattern

Age

5 to 7

Challenge level

Create a pattern on the small grid. How could you extend your pattern on the larger grid?
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
Translating lines

Age

11 to 14

Challenge level

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
problem
Rectangle dissection

Age

11 to 14

Challenge level

Weekly Problem 2 - 2009
The 16 by 9 rectangle is cut as shown. Rearrange the pieces to form a square. What is the perimeter of the square?
problem
Knights moving

Age

16 to 18

Challenge level

Can you swap the black knights with the white knights in the minimum number of moves?
problem
Arrow arithmetic 1

Age

14 to 16

Challenge level

The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.
problem
Shape mapping

Age

7 to 11

Challenge level

What is the relationship between these first two shapes? Which shape relates to the third one in the same way? Can you explain why?
$Who \is the \fairest of \them \all ?$

problem
Who is the fairest of them all ?

Age

11 to 14

Challenge level

Explore the effect of combining enlargements.
problem
Mirror, mirror...

Age

11 to 14

Challenge level

Explore the effect of reflecting in two parallel mirror lines.