Working systematically

problem

1 to 8

Age

7 to 11

Challenge level

Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.
problem

Chocs, Mints, Jellies

Age

7 to 11

Challenge level

In a bowl there are 4 Chocolates, 3 Jellies and 5 Mints. Find a way to share the sweets between the three children so they each get the kind they like. Is there more than one way to do it?
problem

Paw Prints

Age

7 to 11

Challenge level

A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?
problem

Polo Square

Age

7 to 11

Challenge level

Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
problem

Arrangements

Age

7 to 11

Challenge level

Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?
problem

One to Fifteen

Age

7 to 11

Challenge level

Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
problem

Putting Two and Two Together

Age

7 to 11

Challenge level

In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
problem

Tiling

Age

7 to 11

Challenge level

An investigation that gives you the opportunity to make and justify predictions.
problem

Cubes Here and There

Age

7 to 11

Challenge level

How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?
problem

Order the Changes

Age

7 to 11

Challenge level

Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?