Working systematically

problem

Seating Arrangements

Age

7 to 11

Challenge level

Sitting around a table are three girls and three boys. Use the clues to work out were each person is sitting.
problem

Knight's Swap

Age

7 to 11

Challenge level

Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?
problem

Pasta Timing

Age

7 to 11

Challenge level

Nina must cook some pasta for 15 minutes but she only has a 7-minute sand-timer and an 11-minute sand-timer. How can she use these timers to measure exactly 15 minutes?
problem

Fake Gold

Age

7 to 11

Challenge level

A merchant brings four bars of gold to a jeweller. How can the jeweller use the scales just twice to identify the lighter, fake bar?
problem

Tri-Five

Age

7 to 11

Challenge level

Find all the different shapes that can be made by joining five equilateral triangles edge to edge.
problem

A Shapely Network

Age

7 to 11

Challenge level

Your challenge is to find the longest way through the network following this rule. You can start and finish anywhere, and with any shape, as long as you follow the correct order.
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.