### Kate's Date

Weekly Problem 31 - 2012
When Kate ate a giant date, the average weight of the dates decreased. What was the weight of the date that Kate ate?

### Balancing the Books

Weekly Problem 32 - 2012
How many visitors does a tourist attraction need next week in order to break even?

### Grandpa's Rock Cakes

Weekly Problem 34 - 2012
Grandpa made a super-heavy rock cake. Five people have guessed the weight of the cake. Can you work out the weight of his cake?

# How Would You Score It?

##### Stage: 3 Challenge Level:

A game was played at a fair in which children guessed the weight of Mr Jones, the rugby teacher.

Five children made the following guesses:

1. Between 70 kg and 90 kg
2. Between 75 kg and 100 kg
3. Between 88 kg and 140 kg
4. Between 90 kg and 95 kg
5. 85 kg exactly

It turns out that Mr Jones weighs 88 kg.

Each child argues that they should win the prize.
How might each child argue that their guess was best?

If you had to award the prize, who would you choose to be the winner, and how would you justify your choice?

Devise a scoring system that penalises those whose guess has a very wide range, and rewards guesses where the middle of the range is very close to the actual weight.

Does your scoring system reward the child you thought should be the winner?