Add new comment

Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
We talk to Stuart Johnston who uses mathematics to find out how noise pollution in the oceans impacts whales.
Generating electricity without the use of fossil fuels is not just an engineering and industrial challenge, it is also a huge mathematical challenge.
In this podcast author Coralie Colmez shares insights into her novel The irrational diary of Clara Valentine.
We talk to early career mathematicians who spent some of their summer holiday solving problems posed by industry — such as how to blend a perfect smoothie!
Don't like plantbased meat alternatives, but want to spare animals and the environment? There's hope on the horizon, aided by a good helping of maths.
A scale can only yield an answer whether the left or right sides are heavier. I would use the divide and conquer binary strategy. My answer would be 3 attempts. First attempt: Put four on the left and four on the right. Which ever side weight the most I would keep these 4 balls and discard the other 4 balls. Now I would take group of 4 heavier balls and divide them into two groups of two for the second weighing. Now I would get a second result of which group was heaviest. Then on the third attempt I would have on two balls so I would place one on the left and one on the right. Which ever one tipped the scale would the heaviest ball of the starting 8.