Working systematically

problem

Teddy Bear Line-Up

Age

5 to 7

Challenge level

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

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

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

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

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

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

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

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

A Bag of Marbles

Age

5 to 7

Challenge level

Use the information to describe these marbles. What colours must be on marbles that sparkle when rolling but are dark inside?
problem

One of Thirty-Six

Age

5 to 7

Challenge level

Can you find the chosen number from the grid using the clues?