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The Tour De Clochemerle

Age 14 to 18
Challenge Level Yellow star
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources

This question requires students to read the given information carefully, work out what they can deduce initially, and then make further deductions, until they have solved the problem.  

Some questions to help students might include:

  • Can you work out where Arouet came in each of the five stages?
  • What is the total number of points earned by the five riders at the end of each stage?
  • What is the total number of points earned by all five riders over the five stages?
  • Can Eluard have gained less than 11 points?  Can he have gained more than 11 points?

It might be helpful to encourage students to draw a table (like the one in Getting Started) to help them organise their deductions.

 

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Curvy Equation

This problem asks you to use your curve sketching knowledge to find all the solutions to an equation.

Digital 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?

Euler's Totient Function

How many numbers are there less than $n$ which have no common factors with $n$?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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