### Not a Polite Question

When asked how old she was, the teacher replied: My age in years is not prime but odd and when reversed and added to my age you have a perfect square...

### Whole Numbers Only

Can you work out how many of each kind of pencil this student bought?

### Symmetricality

Add up all 5 equations given below. What do you notice? Solve the system and find the values of a, b, c , d and e. b + c + d + e = 4 a + c + d + e = 5 a + b + d + e = 1 a + b + c + e = 2 a + b + c + d = 0

# Sweet Shop

### Why do this problem?

This problem provides a useful context for equations and especially simultaneous equations.

There is also an opportunity to discuss the issue of redundant information.

### Possible approach

Jonathan Linton sent us these slides which aim to present the problem in an accessible way for students.

### Key questions

How much does one lollypop cost?
Would it be a good idea to see what Kenny bought next?
What did Nathan and Judy both buy?
Would it be helpful to write it all out as equations?
Would it be a good idea to call the sweets b, c, m and l?

### Possible extension

Learners could go on to Letter Land or invent their own sweet shop questions.

### Possible support

Suggest starting by working out the cost of lollipops from what Liam bought. Next look at what Kenny bought. Then continue through the other children's purchases.