problem
2 out of 3
Favourite
Circles Ad Infinitum
Age
16 to 18
Challenge level
2 out of 3
A circle is inscribed in an equilateral triangle. Smaller circles touch it and the sides of the triangle, the process continuing indefinitely. What is the sum of the areas of all the circles?
problem
1 out of 3
Favourite
Direct Logic
Age
16 to 18
Challenge level
1 out of 3
Can you work through these direct proofs, using our interactive proof sorters?
problem
1 out of 3
Speedy Summations
Age
16 to 18
Challenge level
1 out of 3
Watch the video to see how to add together an arithmetic sequence of numbers efficiently.
problem
1 out of 3
Medicine Half Life
Age
14 to 18
Challenge level
1 out of 3
A short challenge concerning the decay of medicines in the body.
problem
1 out of 3
Mad Robot
Age
16 to 18
Challenge level
1 out of 3
Can you work out what happens when this mad robot sets off?
problem
1 out of 3
Prime APs
Age
16 to 18
Challenge level
1 out of 3
What can you deduce about prime numbers in arithmetic progression?
problem
1 out of 3
AP Train
Age
16 to 18
Challenge level
1 out of 3
An arithmetic progression is shifted and shortened, but its sum remains the same...