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Forty Harder Problems for the Classroom

For anyone who enjoys thinking about non-routine problems

Forty Harder Problems for the Classroom See some sample pages

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Forty Problems for the Classroom

Forty Problems for the Classroom

Challenge curiosity: give a taste for, and a means of, independent thinking.

 

  • FS
  • KS1
  • KS2
  • KS3
  • KS4
  • FE
  • HE

Key Stage suitability • Explanation

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Forty Harder Problems for the ClassroomForty Harder Problems for the Classroom

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Forty Harder Problems for the Classroom - PDFForty Harder Problems for the Classroom - PDF

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Forty Harder Problems for the Classroom

This collection of challenging mathematical problems is suitable for anyone over the age of 11 who enjoys thinking about non-routine problems. Working on these problems helps learners to use and apply their mathematical knowledge and skills.

Some of the problems use content met in the first year of key stage 3, but you have to keep your head and use quite a lot of imagination if you are going to solve them. Others require mathematical facts and skills met at a later stage and yet might be relatively more straightforward to tackle. For example, the second part of the very last problem invites the solver to prove a result using integral calculus; yet the first part could be tackled by key stage 3 pupils who can think laterally.

All the problems in this collection are mathematically interesting - they require a bit of flair to solve them, the kind of flair that a research mathematician needs to possess.

Included in the book are comprehensive hints and suggestions for further work. The hints outline the knowledge and skills needed to solve the problems.

Suitable for KS3, KS4 and AS/A2 students.

By Derek Ball

Association of Teachers of Mathematics

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