Attractive tablecloths
Frogs
Finding factors
Reversals
Treasure hunt
A little light thinking
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
Shifting times tables
Can you find a way to identify times tables after they have been shifted up or down?
Multiplication arithmagons
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
Arithmagons
Can you find the values at the vertices when you know the values on the edges?
Special numbers
My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?
Charlie's delightful machine
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
How old am I?
In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?
Tower of Hanoi
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.