Math Problem Solving Examples

So his normal pay of 40 × = 0, plus his overtime pay of 12 × = 0 gives us a total of 0 There are 12 girls!

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These resources are designed to help potential university applicants develop their advanced problem-solving skills and prepare for sitting examinations such as STEP.

This guide has been produced by MEI for all teachers of GCSE and A level Mathematics to support them with the problem solving content of these qualifications.

The guide, the examples, and their solutions are provided below as separate documents.

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.

Math Problem Solving Examples

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.

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.

There are seven houses; in each house there are seven cats; each cat kills seven mice; each mouse has eaten seven grains of barley; each grain would have produced seven hekat. In more modern times the sometimes confusing and arbitrary nature of word problems has been the subject of satire.

Gustave Flaubert wrote this nonsensical problem, now known as the Age of the captain: Since you are now studying geometry and trigonometry, I will give you a problem.