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It might help to draw a table to show the riders, and their scores at each stage of the race.
A | B | C | D | E | |
Stage 1 | |||||
Stage 2 | |||||
Stage 3 | |||||
Stage 4 | |||||
Stage 5 | |||||
Total score |
You can then use the information given in the question to start to fill in some of the cells of the table.
It might also help to work out the total score of all five riders.
There is a lot of information in the question, so be prepared to go back and read it again to see if you have missed anything, or if there is some piece of information that you couldn't use initially which you can use later on.
This problem asks you to use your curve sketching knowledge to find all the solutions to an equation.
Can you find a three digit number which is equal to the sum of the hundreds digit, the square of the tens digit and the cube of the units digit?
How many numbers are there less than $n$ which have no common factors with $n$?