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The material has been carefully selected to provide an accessible and supportive introduction to advanced problem-solving, and to help you build your confidence, fluency and speed.
You may also be interested in Stephen Siklos's book, Advanced Problems in Mathematics: Preparing for University, which can be downloaded for free.Note: Problems from magazines discussed and solved in the Math PSG emailing list may be submitted to the magazines in the name of the Northwestern University Math Problem Solving Group. Postings sent to the list will not be automatically forwarded to its members, they must await approval by the moderator. If you want to give a chance the other members of the group to think the problem too, instead of a complete solution you may post only some hints first. After the solution is considered correct, and if nobody has anything to add, the coordinator will write a final version and submit it to the magazine in behalf of the group.If there is some discussion, or more that one solution posted, the coordinator will try to compose a "combined solution" with the different contributions. Ideally we should try to solve at least one problem from each issue and submit it to the magazine before the deadline.Please note, due to the inclusion of new less difficult problems the difficulty rating for each task has been amended.These resources are designed to help potential university applicants develop their advanced problem-solving skills and prepare for sitting examinations such as STEP.The best way to become a skilled problem solver is to learn the background material well, and then to solve a lot of problems! I could use this strategy when there are a limited number of possible answers and when two items are the same but they have one characteristic that is different.Some problems are obviously about a geometric situation, and it is clear you want to draw a picture and mark down all of the given information before you try to solve it. Notice none of the perfect squares end in 2, 3, 7, or 8.You can also evaluate expressions, factor polynomials, combine/multiply/divide expressions.You can step by step solve your algebra problems online - equations, inequalities, radicals, plot graphs, solve polynomial problems.CCEA has developed this resource to promote problem solving in mathematics, providing suggested activities that allow pupils to demonstrate their mathematics in real-life and work situations.Key features of resource: While the problem solving materials don’t always have a focus on one particular strand of knowledge and understanding, they have been grouped in the tabs below into the strands that have the greater focus.