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.

Printable worksheets containing selections of these problems are available here:

Mixed Selection 1 Solutions
Mixed Selection 2  

 

Balancing the Books

KS 2 & 3 Short Challenge Level:

Challenge Level:1

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

Ice Cream Pie

KS 2 & 3 Short Challenge Level:

Challenge Level:2 Challenge Level:2

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:

Challenge Level:1

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:

Challenge Level:1

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:

Challenge Level:1

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?

Sevens

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 4 - 2016
What is the largest number Sophie can use to have 7 positive integers with a mean of 7?

Jewelry Boxes

KS 3 Short Challenge Level:

Challenge Level:1

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:

Challenge Level:1

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

Algebraic Average

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 11 - 2008
The mean of three numbers, x, y and z is x. What is the mean of y and z?

Dopey Measurement

KS 3 Short Challenge Level:

Challenge Level:1

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

Middle Digit Mean

KS 3 & 4 Short Challenge Level:

Challenge Level:2 Challenge Level:2

Weekly Problem 16 - 2016
How many three digit numbers have the property that the middle digit is the mean of the other two digits?