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Eight Dominoes

Using the 8 dominoes make a square where each of the columns and rows adds up to 8

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There are exactly 3 ways to add 4 odd numbers to get 10. Find all the ways of adding 8 odd numbers to get 20. To be sure of getting all the solutions you will need to be systematic. What about a total of 15 with 6 odd numbers?

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Medal Muddle

Countries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished?


Age 11 to 14 Challenge Level:

This was a popular problem that was answered correctly by many of you. The messages say "HELP ME" and "BROKEN".

Mathew Ladley from Saddleworth School reasoned as follows:

"For the first answer I narrowed down the possibilities of the broken pin - either the bottom right or the middle right one (since these hadn't been used). So then I just worked out what letter each symbol could possibly be, and worked it out from there..."

Ben Goulding from Whitgift School added:

"The dot on the middle right is not working. Some letters do not need this dot so do not get caught out."

Catherine Y and Yi Jean C from North London Collegiate decoded the second message as follows:

"We made a list of possible letters for each symbol, allowing either no mistakes or 1 mistake. We got a list as follows:

First letter could be: BFHL

Second letter could be: NORZ

Third letter could be: NORZ

Fourth letter could be: KLMOU

Fifth letter could be: DEHO

Sixth letter could be: MNPX

From here, we tried to make words:

The first two letters could either be Bo, Fo, Ho, Br or Lo.

We just tried various words until we got to BROKEN!!!"