Working systematically

problem

Delia's Routes

Age

7 to 11

Challenge level

2 out of 3

A little mouse called Delia lives in a hole in the bottom of a tree.....How many days will it be before Delia has to take the same route again?
problem

Hubble, Bubble

Age

7 to 11

Challenge level

2 out of 3

Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?
problem

Six Is the Sum

Age

7 to 11

Challenge level

2 out of 3

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
problem

Two Egg Timers

Age

7 to 11

Challenge level

2 out of 3

You have two egg timers. One takes 4 minutes exactly to empty and the other takes 7 minutes. What times in whole minutes can you measure and how?
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

Neighbours

Age

7 to 11

Challenge level

2 out of 3

In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
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

Prison Cells

Age

7 to 11

Challenge level

2 out of 3

There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?