Introducing algebra

There are 44 NRICH Mathematical resources connected to Introducing algebra
Augustus' Age
problem

Augustus' age

Age
7 to 11
Challenge level
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In 1871 a mathematician called Augustus De Morgan died. De Morgan made a puzzling statement about his age. Can you discover which year De Morgan was born in?
Buckets of Thinking
problem

Buckets of thinking

Age
7 to 11
Challenge level
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There are three buckets each of which holds a maximum of 5 litres. Use the clues to work out how much liquid there is in each bucket.
Two Number Lines
problem

Two number lines

Age
7 to 11
Challenge level
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Max and Mandy put their number lines together to make a graph. How far had each of them moved along and up from 0 to get the counter to the place marked?
Sisters and Brothers
problem

Sisters and brothers

Age
7 to 11
Challenge level
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Cassandra, David and Lachlan are brothers and sisters. They range in age between 1 year and 14 years. Can you figure out their exact ages from the clues?
Gift Stacks
problem

Gift stacks

Age
7 to 11
Challenge level
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Use the information to work out how many gifts there are in each pile.
Weighing Scales
problem

Weighing scales

Age
14 to 16
Challenge level
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Can you work out how many spheres will balance a single pyramid?
Counting Counters
problem

Counting counters

Age
7 to 11
Challenge level
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Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?
Cherry Buns
problem

Cherry buns

Age
7 to 11
Challenge level
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Sam's grandmother has an old recipe for cherry buns. She has enough mixture to put 45 grams in each of 12 paper cake cases. What was the weight of one egg?
Gran, how old are you?
problem

Gran, how old are you?

Age
7 to 11
Challenge level
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When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?