Processing and Representing Data - Short Problems

Ice Cream Pie

Stage: 2 and 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?

Kate's Date

Stage: 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?

Balancing the Books

Stage: 2 and 3 Short Challenge Level:

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

Jewelry Boxes

Stage: 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 Surroundings

Stage: 3 and 4 Short Challenge Level:

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

Dopey Measurement

Stage: 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?

Rugby and Ballet

Stage: 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?

Weekly Problem 36 - 2009

Stage: 2 and 3 Short Challenge Level:

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?

Better Spelling

Stage: 2 and 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.

Sevens

Stage: 3 Short Challenge Level:

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

Middle Digit Mean

Stage: 3 and 4 Short Challenge Level:

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

Stage: 3 and 4 Short Challenge Level:

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?

Equal Means

Stage: 3 Short Challenge Level:

Weekly Problem 36 - 2017
What value of x makes the mean of the first three numbers in this list equal to the mean of the other four?

Prize Pony

Stage: 3 and 4 Short Challenge Level:

Weekly Problem 15 - 2017
Helen has two stables. When she moved her prize 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?