Being resilient

There are 55 NRICH Mathematical resources connected to Being resilient
Triangles to Tetrahedra
problem
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Triangles to tetrahedra

Age
11 to 14
Challenge level
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Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
Find the Difference
problem
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Find the difference

Age
5 to 7
Challenge level
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Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Maze 100
problem
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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?
Frogs
problem
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Frogs

Age
11 to 14
Challenge level
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How many moves does it take to swap over some red and blue frogs? Do you have a method?
m, m and m
problem
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M, m and m

Age
11 to 14
Challenge level
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If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Four Triangles Puzzle
problem
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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?

Got It
problem
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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.

Elevenses
problem
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Elevenses

Age
11 to 14
Challenge level
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How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
Mixed-up Socks
problem
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Mixed-up socks

Age
5 to 7
Challenge level
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Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?
Reflecting Squarely
problem
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Reflecting squarely

Age
11 to 14
Challenge level
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In how many ways can you fit all three pieces together to make shapes with line symmetry?