# Processing and Representing Data - Short Problems

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Processing and Representing Data.

### Balancing the Books

##### KS 2 & 3 Short Challenge Level:

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

### Better Spelling

##### KS 2 & 3 Short Challenge Level:

Weekly Problem 12 - 2010
Can Emily increase her average test score to more than $80$%? Find out how many more tests she must take to do so.

### Ice Cream Pie

##### KS 2 & 3 Short Challenge Level:

Weekly Problem 12 - 2012
The pie chart shows the different types of ice creams that were sold last Saturday. How many chocolate ice creams were sold?

### Rugby and Ballet

##### KS 3 Short Challenge Level:

Weekly Problem 26 - 2009
From the mean weight of five ballet dancers and the mean weight of ten rugby, what is the average weight of all fifteen people?

### Kate's Date

##### KS 3 Short Challenge Level:

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?

### Partial Means

##### KS 3 Short Challenge Level:

Weekly Problem 36 - 2009
From the mean of 64 numbers, and the mean of the first 36 of these numbers, can you work out the mean of the last 28 numbers?

### Mean Sequence

##### KS 3 Short Challenge Level:

Weekly Problem 38 - 2009
This sequence is given by the mean of the previous two terms. What is the fifth term in the sequence?

### Jewelry Boxes

##### KS 3 Short Challenge Level:

Weekly Problem 52 - 2013
When a jewel worth £5000 is transferred from one box to another, the average value of the jewels in both boxes increases. What is the total value of all the jewels?

### Average Discovery

##### KS 3 Short Challenge Level:

Weekly Problem 38 - 2007
Find the missing number if the mean, median and mode are all the same.

### Dopey Measurement

##### KS 3 Short Challenge Level:

Weekly Problem 23 - 2009
How does Snow White need to change her value for mean-dwarf-height after a mix-up?

### Average Surroundings

##### KS 3 & 4 Short Challenge Level:

Weekly Problem 15 - 2009
Can you work out Ali's age based on the diagram?