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### Number and algebra

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### Working mathematically

### For younger learners

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# Finding All Solutions

### Shady Symmetry

### Isosceles Triangles

### M, M and M

### Peaches Today, Peaches Tomorrow...

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These problems invite students to find all possible solutions. One of the best answers to "How do you know you have found them all" is to be able to say "I worked systematically!"

Age 11 to 14

Challenge Level

This problem is a good activity for the visualisation of symmetry, and for encouraging students to work systematically.

Age 11 to 14

Challenge Level

This problem encourages students to use coordinates, area and isosceles triangles to solve a non-standard problem. To find all possible solutions they will need to work systematically.

Age 11 to 14

Challenge Level

This problem offers the students an opportunity to consolidate what they are expected to know about mean, mode and median whilst also challenging them to work systematically, and justify their reasoning

Age 11 to 14

Challenge Level

This problem could replace repetitive textbook work on calculating fractions of integers. It offers plenty of practice of these calculations while requiring students to come up with problem-solving strategies.