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