Issue 2 of Chalkdust magazine will be released on Tuesday 6th October, in just under 5 weeks’ time. While we work on writing, editing and designing the content for the magazine, here are a few puzzles to keep you entertained…
Make the Sums
Put the digits 1 to 9 (using each digit exactly once) in the boxes so that the sums reading across and down are correct. The sums should be read left to right and top to bottom ignoring the usual order of operations. For example, 4+3×2 is 14, not 10.
Source: UKMT Junior Mathematics Challenge 2014
The diagram shows a regular octagon with sides of length 1. The octagon is divided into regions by four diagonals. What is the difference between the area of the hatched region and the area of the region shaded grey?
Find two digits $a$ and $b$ such that $ab$ in base 10 is equal to $ba$ in base 4.
Find two digits $c$ and $d$ such that $cd$ in base 10 is equal to $dc$ in base 7.
Find two digits $e$ and $f$ such that $ef$ in base 9 is equal to $fe$ in base 5.
The answers to these puzzles will appear here on Sunday at midday (GMT).
More from Chalkdust
- We reveal the solutions to our Christmas puzzles!
- Puzzle #3 in our 2020 Christmas puzzle series
- Puzzle #2 in our 2020 Christmas puzzle series
- Puzzle #1 in our 2020 Christmas puzzle series
- Scroggs debates whether sharing truly is caring
- Did you solve it?