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:

Stage 3 ★ Sheet 1 Solutions

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?

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?

Choose the Mean

KS 3 Short Challenge Level:

Challenge Level:1

Find 4 numbers which have a mean of 7, a median of 8 and a mode of 9.

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?

Ladybird Football Team

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 45 - 2016
The ladybird five-a-side squad has six members. The average number of spots is 12. How many spots does the pine ladybird have?

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?

Mean Balance

KS 3 Short Challenge Level:

Challenge Level:1

Given information about the mean, can you work out the missing numbers?

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?

Mean Square

KS 3 Short Challenge Level:

Challenge Level:1

Can you fill this square so that the number in the middle of each line is the mean of the two numbers on either side of it?

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?

A Mean Calculation

KS 3 Short Challenge Level:

Challenge Level:2 Challenge Level:2

What is the mean of this set of numbers?

Partial Means

KS 4 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?

Jewellery Boxes

KS 4 Short Challenge Level:

Challenge Level:2 Challenge Level:2

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?

Prize Pony

KS 4 Short Challenge Level:

Challenge Level:2 Challenge Level:2

Weekly Problem 15 - 2017
Helen has two stables. When she moved her favourite pony from the second stable to the first, the average value of the horses in each stable increased by £10,000. What is the total value of all the ponies?