Math Problem Solving Examples

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Practice your math problem solving skills with our tests. You shouldn't need more than three lines of working for any problem.

Redraw geometry figures to include the information in the question.

Initially don't worry too much about the time until you have a feel for the type of questions.

But, by the time you have done two or three tests you should start getting tough about the time you take.

The 24 modules below begin with general problem-solving skills and gradually introduce new techniques, ideas and advice to help you to solve advanced problems.

There is also a discussion forum to support Y12 and Y13 students preparing for STEP and other advanced mathematics examinations.We know there are seven days in the week, so: d e = 7 And she trains 27 hours in a week, with d 5 hour days and e 3 hour days: 5d 3e = 27 We are being asked for how many days she trains for 5 hours: d Solve: The number of "5 hour" days is 3 Check: She trains for 5 hours on 3 days a week, so she must train for 3 hours a day on the other 4 days of the week.3 × 5 hours = 15 hours, plus 4 × 3 hours = 12 hours gives a total of 27 hours So Joel’s normal rate of pay is per hour Check Joel’s normal rate of pay is per hour, so his overtime rate is 1¼ × per hour = per hour.The relevance of these situations to the students is varying.The situation in the first example is well-known to most people and may be useful in helping primary school students to understand the concept of subtraction.If your fundamentals are weak and you need extra help check out our recommended resources.* SAT is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product.Apart from a few procedure texts for finding things like square roots, most Old Babylonian problems are couched in a language of measurement of everyday objects and activities. The mainmast is broken, the cabin boy is on deck, there are 12 passengers aboard, the wind is blowing East-North-East, the clock points to a quarter past three in the afternoon. At the same time, a local train traveling 30 miles an hour carrying 40 passengers leaves Phoenix bound for Santa Fe...") trails off with a schoolboy character instead imagining that he is on the train.Students had to find lengths of canals dug, weights of stones, lengths of broken reeds, areas of fields, numbers of bricks used in a construction, and so on. You can ask for help and hints if you’re stuck, share what you have tried so far, offer advice to others and get expert guidance from Cambridge University students and staff.You may also be interested in Stephen Siklos's book, Advanced Problems in Mathematics: Preparing for University, which can be downloaded for free.