

Nim-7

En-counters
This task requires learners to explain and help others, asking and answering questions.

Ip dip
"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

Sitting round the party tables


Factors and multiples game
A game in which players take it in turns to choose a number. Can you block your opponent?

Exploring wild and wonderful number patterns

Bracelets
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Super shapes
The value of the circle changes in each of the following problems. Can you discover its value in each problem?

Square corners
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Fractional triangles
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Nine-pin triangles
How many different triangles can you make on a circular pegboard that has nine pegs?

What's in the box?
This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

Planning a school trip

Counters in the middle
This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

What shape?
This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.


This Pied Piper of Hamelin
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

Pebbles
Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Four go

Arranging cubes
A task which depends on members of the group working collaboratively to reach a single goal.