Can you solve it? Are you in the smartest 1 per cent (of 13-year-olds)?
The test given to the UK’s maths prodigies
Today you are pitting yourselves against the best 13-year-old mathematicians in the UK.
The questions below are taken from last week’s Junior Mathematical Olympiad, a competition aimed at children up to Year 8 (in England) who score in roughly the top half per cent of mathematical ability.
The competition is a two hour paper, split into two sections. I’ve chosen three questions from the more challenging section, presented in increasing level of difficulty.
1. In this word-sum, each letter stands for one of the digits 0–9, and stands for the same digit each time it appears. Different letters stand for different digits. No number starts with 0.
Find all the possible solutions of the word-sum shown above.
2. In the diagram below, a quarter circle with radius 3cm is positioned next to a quarter circle with radius 4cm.
By Alex Bellos