# Fays nines reflection

Two or three weeks ago we started a new project math’s project called fays nines. We had to arrange three numbers in the hundreds, out of numerals from 1 to 9, that all added together would make 999. First we experimented and here is what I found 958 + 712 + 436 = 2106 there for it doesn’t work. 748 + 935 +126 = 1809 therefore it doesn’t work. 521 + 783 + 469 = 1773 therefore it doesn’t work. I don’t think I need to keep going. But 574 + 286 + 139 = 999 therefore it does work. The way I worked it out was putting the numbers on top of each other and added up the digits in the hundreds and then the tens and then the ones. 5B together found out that you can’t put the 8 or 6 in the hundreds column. Then we predicted how many unique solutions there are. After underestimating how many unique solutions there are for crosses (another project math’s project) I estimated the answer would be somewhere around THOUSENDS of solutions. Next we got on to a soft wear called . To test fays nines on maths300 you go on to a thing called working backwards. Then you sort out one column and press the space bar. The program arranges the other numbers in different places every time you press the space bar. Then on the same soft wear we did something else called testing all combinations. Once you press the space bar it wizzes through all the possible combinations and when it finds a comes up with a unique solution it records it on that white slab on the side.

Thanks for reading this blog post.

## 3 comments

1. Zara · March 6, 2017 at 8:55 am ·

Well done. This post very in depth. The images did well to accompany the posts.

• Mrs Stafford · March 7, 2017 at 6:23 am ·

Great feedback Zara.

2. Mrs Stafford · March 7, 2017 at 6:23 am ·

Well done Takoda. This is a elaborate post about what you did in this task. Well done.