Being collaborative

There are 300 NRICH Mathematical resources connected to Being collaborative
Remainders
problem

Remainders

Age
7 to 14
Challenge level
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I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
Got It
problem

Got It

Age
7 to 14
Challenge level
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A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Sealed Solution
problem

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?
Skeleton Shapes
problem

Skeleton Shapes

Age
5 to 7
Challenge level
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How many balls of modelling clay and how many straws does it take to make these skeleton shapes?
Two Primes Make One Square
problem

Two Primes Make One Square

Age
7 to 11
Challenge level
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Can you make square numbers by adding two prime numbers together?
Square Corners
problem

Square Corners

Age
7 to 11
Challenge level
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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?
A Puzzling Cube
problem

A Puzzling Cube

Age
7 to 11
Challenge level
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Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
Factor Lines
problem

Factor Lines

Age
7 to 14
Challenge level
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Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Multiplication Squares
problem

Multiplication Squares

Age
7 to 11
Challenge level
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Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.
Reach 100
problem

Reach 100

Age
7 to 11
Challenge level
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Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.