Being collaborative

There are 300 NRICH Mathematical resources connected to Being collaborative
All the Digits
problem

All the Digits

Age
7 to 11
Challenge level
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This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
Plenty of Pens
problem

Plenty of Pens

Age
7 to 11
Challenge level
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Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?
A Cartesian Puzzle
problem

A Cartesian Puzzle

Age
7 to 11
Challenge level
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Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
Fractions in a Box
problem

Fractions in a Box

Age
7 to 11
Challenge level
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The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.
In the Money
problem

In the Money

Age
7 to 11
Challenge level
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One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?
Mystery Matrix
problem

Mystery Matrix

Age
7 to 11
Challenge level
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Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
The Moons of Vuvv
problem

The Moons of Vuvv

Age
7 to 11
Challenge level
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The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
What's it worth?
problem

What's it worth?

Age
11 to 16
Challenge level
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There are lots of different methods to find out what the shapes are worth - how many can you find?
Twenty Divided into Six
problem

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?
Numerically Equal
problem

Numerically Equal

Age
7 to 11
Challenge level
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Can you draw a square in which the perimeter is numerically equal to the area?