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 which are suitable for ages 16 and under, school years 11 and under.
1. All four digits of two 2-digit numbers are different. What is the largest possible sum of two such numbers? A= the sum of the digits in your answer.
2. The prime numbers p and q are the smallest primes that differ by 6. b= the sum of p and q.
3. When I looked at my car milometer, it showed 24942 miles, a palindromic number. Two days later, it showed the next palindromic number. How many miles did my car travel in those two days? C= your answer divided by 10.
4. If 5^p=9, 9^q=12, 12^r=16, 16^s=20 and 20^t=25, d=p*q*r*s*t (* means multiply)
5. A 30cm x 40cm page of a book includes a 2cm margin on each of the four edges. E= the percentage of the page occupied by the margins.
The cache can be found at N50 45.PQR E0 12.STU where P=A-C, Q=B-10, R=D+5, S=B-C-D, T=E-D-B, U=E-A-D
You can check your answers for this puzzle on GeoChecker.com.