Being collaborative

There are 308 NRICH Mathematical resources connected to Being collaborative

problem

Favourite

Counting cogs

Age

7 to 14

Challenge level

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

problem

Favourite

Place your orders

Age

11 to 14

Challenge level

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

problem

Favourite

Roll these dice

Age

7 to 11

Challenge level

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

problem

Favourite

Chain of changes

Age

5 to 7

Challenge level

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

problem

Favourite

Chances are

Age

14 to 16

Challenge level

Which of these games would you play to give yourself the best possible chance of winning a prize?

problem

Favourite

A cartesian puzzle

Age

7 to 11

Challenge level

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

problem

Favourite

Hexy-metry

Age

14 to 16

Challenge level

A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?

problem

Favourite

Square it

Age

11 to 16

Challenge level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

problem

Favourite

Cover the camel

Age

5 to 7

Challenge level

Can you cover the camel with these pieces?

problem

Favourite

Matching triangles

Age

5 to 7

Challenge level

Can you sort these triangles into three different families and explain how you did it?

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For younger learners

Being collaborative

Counting cogs

Place your orders

Roll these dice

Chain of changes

Chances are

A cartesian puzzle

Hexy-metry

Square it

Cover the camel

Matching triangles