Can you make square numbers by adding two prime numbers together?
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.
You may like to read the article on Morse code before attempting this question. Morse's letter analysis was done over 150 years ago, so might there be a better allocation of symbols today?
Equal touching circles have centres on a line. From a point of this line on a circle, a tangent is drawn to the farthest circle. Find the lengths of chords where the line cuts the other circles.
Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
How many ways can you write the word EUROMATHS by starting at the top left hand corner and taking the next letter by stepping one step down or one step to the right in a 5×5 array?
What is the sum of all the digits in all the integers from one to one million?
