Working systematically

problem

Knights Moving

Age

16 to 18

Challenge level

3 out of 3

Can you swap the black knights with the white knights in the minimum number of moves?
problem

Train Routes

Age

5 to 7

Challenge level

3 out of 3

This train line has two tracks which cross at different points. Can you find all the routes that end at Cheston?
problem

One Out One Under

Age

14 to 16

Challenge level

3 out of 3

Imagine a stack of numbered cards with one on top. Discard the top, put the next card to the bottom and repeat continuously. Can you predict the last card?
problem

Homes

Age

5 to 7

Challenge level

1 out of 3

Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?
problem

Red Express Train

Age

5 to 7

Challenge level

1 out of 3

The Red Express Train usually has five red carriages. How many ways can you find to add two blue carriages?
problem

The School Trip

Age

5 to 7

Challenge level

1 out of 3

Lorenzie was packing his bag for a school trip. He packed four shirts and three pairs of pants. "I will be able to have a different outfit each day", he said. How many days will Lorenzie be away?
problem

Fair Exchange

Age

5 to 7

Challenge level

1 out of 3

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
problem

Dienes' Logiblocs

Age

5 to 7

Challenge level

2 out of 3

This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?
problem

Three Block Towers

Age

5 to 7

Challenge level

2 out of 3

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?
problem

Leap Frog

Age

5 to 7

Challenge level

2 out of 3

The brown frog and green frog want to swap places without getting wet. They can hop onto a lily pad next to them, or hop over each other. How could they do it?