If I use 12 green tiles to represent my lawn, how many different
ways could I arrange them? How many border tiles would I need each
Follow the journey taken by this bird and let us know for how long
and in what direction it must fly to return to its starting point.
Here you see the front and back views of a dodecahedron. Each
vertex has been numbered so that the numbers around each pentagonal
face add up to 65. Can you find all the missing numbers?
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Investigate what happens to the equation of different lines when
you translate them. Try to predict what will happen. Explain your
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.
I took the graph y=4x+7 and performed four transformations. Can you
find the order in which I could have carried out the
Each of the main diagonals of this sudoku must contain the numbers
1 to 9 and each rectangle width the numbers 1 to 4.
Morgan, Sara, Billie and Lucy discovered some rules for predicting
what will happen when you join the numbers round the circle in
Go to last month's problems to see more solutions.
Written for teachers, this article discusses mathematical
representations and takes, in the second part of the article,
examples of reception children's own representations.
Vicki Pike was one of four NRICH Teacher Fellows who worked on embedding NRICH materials into their teaching. In this article, she writes about her experiences of working with students at Key Stage two.
What can you see? What do you notice? What questions can you ask?