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. Three of the interior angles in a quadrilateral are each 80 degrees. What is the fourth angle? A=the sum of the digits in your answer.
2. “You eat more than I do” said Tweedledee to Tweedledum. “That is not true”, said Tweedledum to Tweedledee. “You are both wrong”, said Alice to them both. “You are right”, said the White Rabbit to Alice. B= the number of statements that are true.
3. At Corbett’s Ironmongery, a fork handle and a candle cost a total of £6.10. The fork handle costs £4.60 more than the candle. What is the cost of two fork handles and four candles? C= the sum of the digits in your answer.
4. If 4x-y=5, 4y-z=7 and 4z-x=18, d=x+y+z
5. My cylindrical birthday cake this year wasn’t big enough, so next year I will double the radius and triple the height of the cake. What will be the ratio of the volume of next year’s birthday cake to the volume of this year’s cake, if written as e:1?
The cache can be found at N50 45.PQR E0 14.STU where P=A+B, Q=C-7, R=D-1, S=E-A, T=E-A-B, U=C-D-B
You can check your answers for this puzzle on GeoChecker.com.