Odd and even numbers

There are 75 NRICH Mathematical resources connected to Odd and even numbers
Neighbourly Addition
problem

Neighbourly addition

Age
7 to 14
Challenge level
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I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?
Magic Crosses
problem

Magic crosses

Age
7 to 14
Challenge level
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Can you find examples of magic crosses? Can you find all the possibilities?

Pairs of legs
problem

Pairs of legs

Age
5 to 7
Challenge level
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How many legs do each of these creatures have? How many pairs is that?
Numbers as Shapes
problem

Numbers as shapes

Age
5 to 7
Challenge level
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Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
Number Tracks
problem

Number tracks

Age
7 to 11
Challenge level
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Ben's class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
One of Thirty-Six
problem

One of thirty-six

Age
5 to 7
Challenge level
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Can you find the chosen number from the grid using the clues?
Three Spinners
problem

Three spinners

Age
7 to 11
Challenge level
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These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?
The Thousands Game
problem

The thousands game

Age
7 to 11
Challenge level
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Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
Sorting Numbers
problem

Sorting numbers

Age
5 to 7
Challenge level
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Can you sort numbers into sets? Can you give each set a name?
Summats Clear
problem

Summats clear

Age
16 to 18
Challenge level
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Find the sum, f(n), of the first n terms of the sequence: 0, 1, 1, 2, 2, 3, 3........p, p, p +1, p + 1,..... Prove that f(a + b) - f(a - b) = ab.