Being collaborative

There are 308 NRICH Mathematical resources connected to Being collaborative
Twenty Divided into Six
problem
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Twenty divided into six

Age
7 to 11
Challenge level
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Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?
Sealed Solution
problem
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Sealed solution

Age
7 to 11
Challenge level
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Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
Cut Nets
problem
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Cut nets

Age
7 to 11
Challenge level
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Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Stringy Quads
problem
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Stringy quads

Age
7 to 11
Challenge level
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This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Factors and Multiples Puzzle
problem
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Factors and multiples puzzle

Age
11 to 14
Challenge level
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Using your knowledge of the properties of numbers, can you fill all the squares on the board?
Thousands and Millions
problem
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Thousands and millions

Age
11 to 14
Challenge level
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Here's a chance to work with large numbers...
Sticky Numbers
problem
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Sticky numbers

Age
11 to 14
Challenge level
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Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
Fraction Match
problem
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Fraction match

Age
5 to 11
Challenge level
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A task which depends on members of the group noticing the needs of others and responding.

Stick images
problem
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Stick images

Age
7 to 14
Challenge level
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This task requires learners to explain and help others, asking and answering questions.

What does random look like?
problem
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What does random look like?

Age
11 to 14
Challenge level
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Engage in a little mathematical detective work to see if you can spot the fakes.