Work though the 6 questions. You should refer back to the introductory lessons if you are not sure of any answer. Then recheck every calculation completely. If you make a significant numerical mistake you will fail the test. Write out the answers very briefly in an email and send it to If you are successful you will be allowed onto the next stage of the course.

1. The following are the results of rides on calibration courses before and after measurements.

1.1 Calibration course length 400m.
Pre-measurement calibration - Ride 1: 64252.5 to 68616, Ride 2: 68616 to 72980, Ride 3:72980 to 77344, Ride 4: 77344 to 81709
Post-measurement calibration - Ride1: 62807.5 to 67172, Ride2: 67172 to 71537, Ride3: 71537 to 75901, Ride4: 75901 to 80266.5

1.2 Calibration course length 695.254m.
Pre-measurement calibration - Ride 1: 81399 to 88984, Ride 2: 88984 to 96569, Ride 3: 96569 to 04154, Ride 4: 04154 to 11740.5
Post-measurement cal - Ride 1: 25329 to 32915, Ride 2: 32915 to 40501.5, Ride 3: 40501.5 to 48087.5, Ride 4: 48087.5 to 55674

1.3 Calibration course length 0.5 miles
Pre-measurement calibration - Ride 1: 72473 to 81623, Ride 2: 81834 to 90984, Ride 3: 91179 to 00329, Ride 4: 00527 to 09674
Post-measurement cal - Ride 1: 51586 to 60735, Ride 2: 60801 to 69949, Ride 3: 70069 to 79217, Ride 4: 79340 to 88487

In each case calculate

a) the pre-measurement constant,
b) the post measurement constant, and
c) the constant of the day (in counts/km).

2. Now recalculate the 3 pre-measurement calibration constants from question 1 as counts per mile.

3. The following are the results from measuring the Cranleigh Course which is approximately 15 miles.

Calibration course length 330m
Pre-measurement cal - Ride 1: 64500 to 67743, Ride 2: 71200 to 74443.5, Ride 3: 77900 to 81142.5, Ride 4: 84600 to 87843
Post-measurement cal - Ride 1: 96100 to 99343, Ride 2:02800 to 06042, Ride 3: 09500 to 12743, Ride 4: 16300 to 19543

Course Ride: Start: 93500 Finish: 34662.

a) Calculate the exact length in miles and yards

b) What adjustment would need to be made to the length to make the course exactly 25 km?

4. I measure a loop (of less than 8k) for a 50km race. The result for just one lap is Start of lap count 13000; Return to starting point 66476 counts. My constant for day is 9328 counts/km.

a) Calculate how many complete laps are required, and how much additional distance is needed to make 50 km.

b) How much is the additional distance in counts?

5. How long is a Half Marathon Race?

a) in metres

b) in miles and yards