Three Spinners

These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



This is a number spinner. When you spin it, it can land on any number from one to ten.

Image
Three Spinners


Here are three more number spinners with ten numbers on them. But you cannot see what the numbers are.

Image
Three Spinners


I spun the red one $15$ times and got these numbers:

Image
Three Spinners
I spun the blue one $15$ times and the yellow one $15$ times and got these numbers:

Image
Three Spinners
Image
Three Spinners


Then I did the same things again twice over. I got these numbers, but forgot to note which numbers came from which spinner:

Image
Three Spinners


Can you work out which spinner generated each list? How did you do it?

We could call the numbers on the first spinner "Numbers from one to ten".

Can you think of a title for the set of numbers on the red spinner?

Can you think of titles for the sets of numbers on the blue and the yellow spinners?