This mathematical series of puzzle caches has questions from all levels of school education, from Key Stage 1 (age 5-7) in the first few caches, all the way up to Further Maths A-Level in the last few caches. Everybody should be able to get the solutions to the first few caches, but how far through the series will you be able to get? For a full description of the series, please see the first cache “1+1=1”. If you can’t solve a particular set of questions, try asking somebody of the appropriate age, or your friendly neighbourhood Maths teacher!
Please note that many of the caches are hidden near busy roads, so please take care when finding them, especially if you have children with you. It is worth noting that there is parking possible within a few hundred metres of all caches and a quick look on a satellite view map should show suitable places.
This cache contains questions that are suitable for Sixth Form age students.
1. A=the sum of the digits of the largest 4-digit palindromic number that is divisible by 15.
2. Two sides of a triangle have lengths 4cm and 5cm. The third side has length Xcm, where X is an integer. B=the number of different values that X could take.
3. How many different arrangements are there of the letters in the word GEOCACHE? C=the fourth digit in your answer.
4. If X-1/X = Y-1/Y and X and Y are different, D=X*Y where * means multiply.
5. Becky and Adam are 51 miles apart and cycle towards each other. Starting at noon, Becky cycled at X mph. Starting at 2pm, Adam cycled at Y mph. They meet at 4pm. If they had both started at noon, they would have met at 2.50pm. E=2*Y.
The cache can be found at N50 45.PQR E0 14.STU where P=2(A-E), Q=B-D, R=C, S=E-2B-3, T=(C+D)/B, U=A-2C
You can check your answers for this puzzle on GeoChecker.com.