### 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

##### Stage: 3 Challenge Level:

Five children went into the sweet shop after school. They looked at the things that cost under $50$p. There were choco bars, chews, mini eggs and lollypops.

Each of the children had a £$1$ coin they could spend, but they didn't necessarily want to spend all of it!

Judy bought a choco bar, a mini egg and a chew. She spent $61$p.

Kenny bought a choco bar, a mini egg and a lollypop. He had $46$p change from his £$1$.

Liam bought $3$ lollypops. They cost $84$p.

Mandy bought a mini egg, a lollypop and a chew. She had $20$p change from her £$1$.

Nathan bought one of each - a choco bar, a mini egg, a lollypop and a chew. How much change did he get from his £$1$?

Suggest a way in which Nathan could spend all his money.