Working systematically

problem

Snakes

Age

5 to 7

Challenge level

2 out of 3

Explore the different snakes that can be made using 5 cubes.
problem

Jumping Cricket

Age

5 to 7

Challenge level

2 out of 3

El Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?
problem

Teddy Bear Line-Up

Age

5 to 7

Challenge level

2 out of 3

What is the least number of moves you can take to rearrange the bears so that no bear is next to a bear of the same colour?
problem

Briefcase Lock

Age

5 to 7

Challenge level

2 out of 3

My briefcase has a three-number combination lock, but I have forgotten the combination. I remember that there's a 3, a 5 and an 8. How many possible combinations are there to try?
problem

Whose Sandwich?

Age

5 to 7

Challenge level

2 out of 3

Chandra, Jane, Terry and Harry ordered their lunches from the sandwich shop. Use the information below to find out who ordered each sandwich.
problem

Mrs Beeswax

Age

5 to 7

Challenge level

2 out of 3

In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?
problem

Routes 1 and 5

Age

5 to 7

Challenge level

2 out of 3

Find your way through the grid starting at 2 and following these operations. What number do you end on?
problem

Nineteen Hexagons

Age

5 to 7

Challenge level

2 out of 3

In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?
problem

Late Again

Age

5 to 7

Challenge level

2 out of 3

Moira is late for school. What is the shortest route she can take from the school gates to the entrance?
problem

Name the Children

Age

5 to 7

Challenge level

2 out of 3

Can you find out in which order the children are standing in this line?