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 from the A-Level Maths course, from the Statistics module.
1. Judge A gives marks to 5 competitors of 10, 8, 7, 6, 3. Judge B gives marks to the corresponding competitors of 22, 17, 8, 19, 10. The value of Spearman’s Rank Correlation Coefficient is 0.A. Find A.
2. The Standard Deviation of 32, 38, 41, 26 and 45 is 6.71B when written to 3 decimal places. Find B.
3. A 3 sided dice has faces labeled 1, 2 and 3. If P(1)=0.3, P(2)=f, P(3)=g and the expectation of the score is 2.2, the variance of the score is 0.C6. Find C.
4. A geocacher counts the number of geocaches he finds in a month and discovers that it is normally distributed with a mean of 50 and a standard deviation of 2. He finds more than 45.D5 geocaches in 99% of months. Find D.
5. A group of geocachers were asked about their caching habits. Two fifths of them liked puzzle caches. Two thirds of the group went to event caches. Of those who went to event caches, nine twenty-fifths also liked puzzle caches. Find the probability that a randomly chosen member of the group does not like puzzle caches and does not go to event caches. If you write your answer as a fraction in the simplest form possible, E= the numerator of the fraction.
The cache can be found at N50 45.PQR E0 14.STU where P=A+2, Q=A+B, R=D, S=C-4, T=E-10, U=A+E-C-D
You can check your answers for this puzzle on GeoChecker.com.