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1+1=13 Mystery Cache

This cache has been archived.

Monkey_Chops: I am archiving this cache to open up the area so that new caches can be hidden.

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Hidden : 4/1/2014
Difficulty:
2.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:


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 13 and under, school years 8 and under.

1. In a football league, a team gets a number of points for a win, a lower amount of points for a draw and no points for a loss.  If “Cachers United” got 44 points for 7 wins and 3 draws, how many points do “Waymarkers Athletic” get for 5 wins and 2 draws? A= the sum of the digits in your answer.
2. What is the smallest four digit positive integer which has four different digits? B= the fourth digit in your answer.
3. My tankard holds 480ml when it is one quarter empty.  How much does it hold when it is one quarter full? C = the sum of the digits in your answer.
4. A pattern that repeats every six numbers starts as 121314121314121314….  D= the sum of the 100th and 101st digits.
5. Peter is 50 years, 50 months, 50 weeks and 50 days old.  What age will he be on his next birthday? E= the sum of the digits in your answer.

The cache can be found at N50 45.PQR E0 12.STU where P=A+2, Q=B-3, R=C-2, S=2D, T=E-A-D-1, U=C

You can check your answers for this puzzle on GeoChecker.com.

Additional Hints (No hints available.)