To solve this third cache, you will need to solve maths problems similar to those found on a GCE Advanced Subsidiary (AS) Level Maths paper. If you want, start at the first cache in the series (Geomaths #1) though there is no pre-requistic - you can do these in any order.
The cache can be found at N50 ab.cde W 000 fg.hjk. The cache itself is a small black taped clip-lock box.
Please do not include hints, spoilers etc in your logs about the questions or the cache location. This will be classed as cheating and may result in disqualification from the cache!
GEOCACHING EXAMINATIONS BOARD
General Certificate of Education
MATHEMATICS
Advanced Subsidiary Examination
Time allowed: who can be first to find?
You do not need to show clearly how you work out your answer.
Use of a calculator is permitted.
1.If 5(x - y) = 125 and 5(x + y) = 3,125, what is value does x have? Let h = x.
2.A curve is described by the equation y = (2x - 1)(x + 3)(x - 1).
Show that the equation giving the gradient of the curve is of the form mx2 + nx + c.
3.A circle is described by the equation x2 + y2 - 6x - 10y = 0. What is the radius of the circle (to the closest integer)? Let k be the radius of the circle.
4.The gradient of a curve is given by 
and it passes through points (3,4) and (p,6). Find the equation of the curve, in the form ax2 + mx + n.
5.Use the trapezium rule, with 4 strips each of width 0.5, to find an approximate value for
giving your answer to 2 d.p. The first decimal place gives g (i.e. #.g#).
6.The point R on the curve y = 7x has y-coordinate equal to 108.81. Use logarithms to find the x-coordinate of R, correct to 2 decimal places. The first decimal place gives f (i.e. #.f#).
7.One root of the quadratic equation rx2 + sx + t, where r and s are real, is 9 - 5i. What is the other root of the quadratic equation? The first digit of your answer gives j.
8.The driver of a motorbike accelerating uniformly from rest sees an obstruction. She brakes immediately bringing the motorbike to rest with constant deceleration at a distance of 6m from its initial at rest starting point. The motorbike travels in a straight line and is in motion for 3 seconds. Calculate the maximum speed of the motorbike during its motion. Your answer gives d.
9. John, a clay pigeon shooter, is allowed to fire two rounds at a clay. The probability that John succeeds in hitting a clay with his first round is 0.6. If he fails on his first round, the probability that he succeeds on his second round is 0.8. Calculate the probability that John hits the clay.
The first decimal place of your answer gives b. (i.e. #.b#)
10.e = ln (e)
You can check your answers for this puzzle on GeoChecker.com.
Well done to ATLS for FTF!