If we choose a number other than 30 and compare its product with itself to the product of the numbers one above and one below it, which is bigger? Does this always work the same way?
If you choose any two numbers that are above and below 30 by the same amount, what is the difference between their product and 30 × 30?
Solution next week
#25 Triangles in circles
Solution
From seven points you can make four triangles, and from 12 points, 12 triangles.…
Advertisement
Sign up to our weekly newsletter
Receive a weekly dose of discovery in your inbox!
We'll also keep you up to date with New Scientist
events and special offers.