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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Working Systematically at Stage 4 and 5

### How Old Am I?

### Odds and Evens Made Fair

### Sorted

### A Long Time at the Till

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These resources can be used with older students to improve their skills of working systematically.

Age 14 to 16

Challenge Level

In this problem students create quadratic equations and solve them by factorisation or by using the quadratic formula. The follow-up questions offer the chance for some interesting generalisations and justifications.

Age 14 to 16

Challenge Level

To search for a fair game in this probability task, students will need to work systematically and record their findings appropriately.

Age 14 to 18

Challenge Level

This problem uses playing cards and video to introduce students to some well-known sorting algorithms.

Age 14 to 18

Challenge Level

This problem provides an introduction to advanced mathematical behaviour which might not typically be encountered until university. The content level is secondary, but the thinking is sophisticated and will benefit the mathematical development of school-aged mathematicians.