Introducing algebra

There are 44 NRICH Mathematical resources connected to Introducing algebra
Two and Two
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Two and two

Age
7 to 16
Challenge level
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How many solutions can you find to this sum? Each of the different letters stands for a different number.

Break it up!
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Break it up!

Age
5 to 11
Challenge level
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In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Shape Products
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Shape products

Age
11 to 14
Challenge level
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These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?
Heads and Feet
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Heads and feet

Age
5 to 7
Challenge level
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On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
Your number is...
problem
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Your number is...

Age
7 to 14
Challenge level
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Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
Price Match
problem
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Price match

Age
7 to 11
Challenge level
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Can you find pairs of differently sized windows that cost the same?

Sweetie Box
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Sweetie box

Age
5 to 11
Challenge level
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Max and Bryony both have a box of sweets. What do you know about the number of sweets they each have?
How many eggs?
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How many eggs?

Age
7 to 11
Challenge level
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Peter, Melanie, Amil and Jack received a total of 38 chocolate eggs. Use the information to work out how many eggs each person had.
Spell by Numbers
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Spell by numbers

Age
7 to 11
Challenge level
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Can you substitute numbers for the letters in these sums?