Exploring and noticing

problem
Plenty of pens

Age

7 to 11

Challenge level

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?
problem
Fractions in a box

Age

7 to 11

Challenge level

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.
problem
In the money

Age

7 to 11

Challenge level

One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?
problem
Find a path

Age

5 to 7

Challenge level

Can you find a path from a number at the top of this network to the bottom which goes through each number from 1 to 9 once and once only?
problem
Path to the stars

Age

7 to 11

Challenge level

Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?
problem
Four colours

Age

5 to 11

Challenge level

Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.
problem
Four goodness' sake

Age

7 to 11

Challenge level

Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?
problem
Mystery matrix

Age

7 to 11

Challenge level

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
problem
The moons of Vuvv

Age

7 to 11

Challenge level

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
problem
What's it worth?

Age

11 to 16

Challenge level

There are lots of different methods to find out what the shapes are worth - how many can you find?