On Thursday, 48 A level mathematicians took part in the prestigious UKMT Senior Challenge, the annual maths competition completed by schools from across the UK and around the world. The challenge comprises 25 stimulating maths problems, designed to stretch even the best maths students. Our mathematicians are now waiting for their scores – we will keep you updated!
Think you’re clever enough? Here’s one of this year’s Senior Challenge questions to have a go at. The Intermediate and Junior versions of the competition will be completed by our most able mathematicians in Years 7 to 11 later in the year.
The positive integer N has 2025 digits. The first digit is a 3. Every two consecutive digits of N form a number that is divisible by either 17 or 23. The units digit of N could be either p or q. What is the value of p + q?
a) 3 b) 6 c) 7 d) 9 e) 10
(Answer at the bottom of the page.)
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The answer is… c) 7
