Introducing algebra

problem
Favourite

Carrying Cards

Age

7 to 11

Challenge level

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?
problem

Two Number Lines

Age

7 to 11

Challenge level

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?
problem
Favourite

Shape Times Shape

Age

7 to 11

Challenge level

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
problem
Favourite

Price Match

Age

7 to 11

Challenge level

Can you find pairs of differently sized windows that cost the same?
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Counting Counters

Age

7 to 11

Challenge level

Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?
problem

How Many Eggs?

Age

7 to 11

Challenge level

Peter, Melanie, Amil and Jack received a total of 38 chocolate eggs. Use the information to work out how many eggs each person had.
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Augustus' Age

Age

7 to 11

Challenge level

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?
problem

Buckets of Thinking

Age

7 to 11

Challenge level

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.
problem
Favourite

Table Patterns Go Wild!

Age

7 to 11

Challenge level

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
problem

Gran, How Old Are You?

Age

7 to 11

Challenge level

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