Up and Across Age 11 to 14 Challenge Level: In how many different ways can you do it? How many different trains can you make? They are each holding a card with a number on it. There is a clock-face where the numbers have become all mixed up.

Use the maps to work out the number of points each of their routes scores. Amy has a box containing domino pieces but she does not think it is a complete set. Three Neighbours Age 7 to 11 Challenge Level: Can you prove it to be true for a rectangle or a hexagon? My measurements have got all jumbled up!

## Search by Topic

Half Time Age 5 to 11 Challenge Level: Here’s a strategy game with lots to explore. At what time, to the nearest second, does this happen? Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

The great planetary explorer Nico counted 52 legs. Paradoxes Age 7 to 14 A paradox proble, a statement that seems to be both untrue and true at the same time.

Three Neighbours Age 7 to 11 Challenge Level: Experiment with the interactivity of “rolling” regular polygons, and explore how the different positions of the red dot affects the probldm it travels at each stage.

Can you find out where all the numbers have got to from these ten statements?

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. All the Digits Age 7 to 11 Challenge Level: They are each holding a card with a number on it. Explore Alex’s number plumber.

Table Patterns Go Wild! To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. How could you find out how long each piece is?

Factor track is not a race but a game of skill. The planet of Vuvv has seven moons. You could investigate your own starting shape.

## Addition and Subtraction KS2

Sealed Solution Age 7 to 11 Challenge Level: Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers. Use the cards to gather all the information you need.

Amy has a box containing domino pieces but she does not think it is a complete set. How far and in what direction must he travel to get back to his base?

Can you draw a square in which the perimeter prolem numerically equal to the area? Use the ‘double-3 down’ dominoes to make a square so that each side has eight dots.

# Addition and Subtraction KS2 :

Area and Perimeter Age 7 to 11 Challenge Level: Can you see how these factor-multiple chains work? Explore Alex’s number plumber.

Prlblem this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. Carrying Cards Age 7 to 11 Challenge Level: Can you put the numbers in the V shape so that both ‘arms’ have the same total? Amy’s Dominoes Age 7 to 11 Challenge Level: He could then pay any sum of money from 1p to 15p without opening any bag. All the Digits Age 7 to 11 Challenge Level: