Working systematically

problem

Home City

Age

7 to 11

Challenge level

2 out of 3

Use the clues to work out which cities Mohamed, Sheng, Tanya and Bharat live in.
problem

Professional Circles

Age

7 to 11

Challenge level

2 out of 3

Six friends sat around a circular table. Can you work out from the information who sat where and what their profession were?
problem

Dodecamagic

Age

7 to 11

Challenge level

2 out of 3

Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?
problem

A Right Charlie

Age

7 to 11

Challenge level

2 out of 3

Can you use this information to work out Charlie's house number?
problem

Zargon Glasses

Age

7 to 11

Challenge level

2 out of 3

Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?
problem

Arranging the Tables

Age

7 to 11

Challenge level

2 out of 3

There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.
problem

Team Scream

Age

7 to 11

Challenge level

2 out of 3

Seven friends went to a fun fair with lots of scary rides. They decided to pair up for rides until each friend had ridden once with each of the others. What was the total number rides?
problem

Map Folding

Age

7 to 11

Challenge level

2 out of 3

Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?
problem

Creating Cubes

Age

7 to 11

Challenge level

2 out of 3

Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.
problem

Plates of Biscuits

Age

7 to 11

Challenge level

2 out of 3

Can you rearrange the biscuits on the plates so that the three biscuits on each plate are all different and there is no plate with two biscuits the same as two biscuits on another plate?