Multiplication and division

problem
Machines

Age

7 to 11

Challenge level

What is happening at each box in these machines?
problem
A mixed-up clock

Age

7 to 11

Challenge level

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?
problem
The Deca Tree

Age

7 to 11

Challenge level

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.
problem
A square of numbers

Age

7 to 11

Challenge level

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
problem
Trebling

Age

7 to 11

Challenge level

Can you replace the letters with numbers? Is there only one solution in each case?
problem
The Brown family

Age

5 to 7

Challenge level

Use the information about Sally and her brother to find out how many children there are in the Brown family.
problem
The Pied Piper of Hamelin

Age

7 to 11

Challenge level

This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
problem
Gift stacks

Age

7 to 11

Challenge level

Use the information to work out how many gifts there are in each pile.
problem
Clever Santa

Age

7 to 11

Challenge level

All the girls would like a puzzle each for Christmas and all the boys would like a book each. Solve the riddle to find out how many puzzles and books Santa left.
problem
Clock face

Age

7 to 11

Challenge level

Where can you draw a line on a clock face so that the numbers on both sides have the same total?