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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Inverse Problems

### A Little Light Thinking

### Which Spinners?

### Data Matching

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In this feature, the problems give you an answer or output, and you need to work out the question or input. Mathematicians call this an inverse problem, and inverse problems have applications in fields as diverse as seismology, medical imaging and diagnostics, and financial maths.

Age 14 to 16

Challenge Level

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

Age 14 to 18

Challenge Level

Can you work out which spinners were used to generate the frequency charts?

Age 14 to 18

Challenge Level

Use your skill and judgement to match the sets of random data.