You’ve seen how mathematical problems can be solved with less, or even no, detailed calculation by looking at what the problem tells you about the shape of the solution.
Another useful method, at least for checking answers, is to look at simple special cases of the problem, or simplified versions of the problem. We saw some of that when we talked about how to check your answers in FP1 and M2. Continue reading
- Click here for MAT papers and solutions
- Click here for STEP papers and solutions; or here
- My own suggestions on problem-solving in mathematics
- Click here for pdf of Terry Tao’s excellent book “Solving Mathematical Problems”