Being collaborative

There are 300 NRICH Mathematical resources connected to Being collaborative
6 Beads
problem

6 Beads

Age
5 to 7
Challenge level
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If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

Domino Square
problem

Domino Square

Age
7 to 11
Challenge level
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Use the 'double-3 down' dominoes to make a square so that each side has eight dots.
Five Coins
problem

Five Coins

Age
5 to 11
Challenge level
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Ben has five coins in his pocket. How much money might he have?
Four Triangles Puzzle
problem

Four Triangles Puzzle

Age
5 to 11
Challenge level
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Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
Let's Investigate Triangles
problem

Let's Investigate Triangles

Age
5 to 7
Challenge level
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Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
Maze 100
problem

Maze 100

Age
7 to 11
Challenge level
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Can you go through this maze so that the numbers you pass add to exactly 100?
Making Cuboids
problem

Making Cuboids

Age
7 to 11
Challenge level
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Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?
Making Boxes
problem

Making Boxes

Age
7 to 11
Challenge level
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Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
Sweets in a box
problem

Sweets in a box

Age
7 to 11
Challenge level
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How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
I'm Eight
problem

I'm Eight

Age
5 to 11
Challenge level
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Find a great variety of ways of asking questions which make 8.