We received lots of excellent solutions to
this problem. Well done to students from Raines School,
Lancaster Lane School, Risley Primary School, Garden International
School, Glan-Y-Mor, Selside School, Kings School, Beijing City
International School, Cirencester Kingshill School, Highfields
School, Winster C of E School and Balfour Junior School for all
finding solutions which give numbers greater than 25.
Alison managed to find numbers 1 to 46 with
this daisy: 1 in centre, 2,4,12,19,8 around the
edge.
Ria's method for making a daisy with
numbers 1 to 28 can be found
here.
Simon and Will made a daisy with numbers 1
to 37 and explain their method below:
To begin, we used the same flower as NRICH. We put 1 in the middle
because we decided that it would be the most used number. We put 2
in next to make 2 and 3. Then we put a 4 in and we could make
numbers 5,6,7. We wrote the numbers we could make underneath the
flower. We then added 8 to make 8,9,10. We put 8 next to the 2 and
we then could make numbers up to 15. We then added 12 and put it
next to the 4 to make 16. The 10 was the last number to be added.
We added 8 + 10 + 12 + 4 + 2 + 1 to make the biggest number 37. We
then tried to make all the numbers in between and it worked.
Here are some more solutions.
Emma's daisy makes all the numbers 1 to
38:
Tamsin's daisy makes all the numbers from 1
to 40:
Carolyn's daisy makes all the numbers from
1 to 43:
Stephen's daisy makes all the numbers from
1 to 45:
Students from Riccarton High School found
another daisy that makes all the numbers from 1 to 45:
They checked this worked by entering the
six numbers in the cells of a spreadsheet and reproduced the
numbers in six columns with the total on the right. It
was then necessary to go through deleting some numbers on each
line to give the totals 1 to 45 as in Ali's solution
below:
1 |
21 |
8 |
9 |
2 |
4 |
Total |
1 |
|
|
|
|
|
1 |
|
|
|
|
2 |
|
2 |
1 |
|
|
|
2 |
|
3 |
|
|
|
|
|
4 |
4 |
1 |
|
|
|
|
4 |
5 |
|
|
|
|
2 |
4 |
6 |
1 |
|
|
|
2 |
4 |
7 |
|
|
8 |
|
|
|
8 |
1 |
|
8 |
|
|
|
9 |
|
|
|
9 |
|
|
10 |
|
|
|
9 |
2 |
|
11 |
1 |
|
|
9 |
2 |
|
12 |
1 |
|
8 |
|
|
4 |
13 |
1 |
|
|
9 |
|
4 |
14 |
|
|
|
9 |
2 |
4 |
15 |
1 |
|
|
9 |
2 |
4 |
16 |
|
|
8 |
9 |
|
|
17 |
1 |
|
8 |
9 |
|
|
18 |
|
|
8 |
9 |
2 |
|
19 |
1 |
|
8 |
9 |
2 |
|
20 |
|
21 |
|
|
|
|
21 |
1 |
21 |
|
|
|
|
22 |
|
21 |
|
|
2 |
|
23 |
1 |
21 |
|
|
2 |
|
24 |
|
21 |
|
|
|
4 |
25 |
1 |
21 |
|
|
|
4 |
26 |
|
21 |
|
|
2 |
4 |
27 |
1 |
21 |
|
|
2 |
4 |
28 |
|
21 |
8 |
|
|
|
29 |
|
21 |
|
9 |
|
|
30 |
1 |
21 |
|
9 |
|
|
31 |
|
21 |
|
9 |
2 |
|
32 |
1 |
21 |
|
9 |
2 |
|
33 |
1 |
21 |
8 |
|
|
4 |
34 |
1 |
21 |
|
9 |
|
4 |
35 |
|
21 |
|
9 |
2 |
4 |
36 |
1 |
21 |
|
9 |
2 |
4 |
37 |
|
21 |
8 |
9 |
|
|
38 |
1 |
21 |
8 |
9 |
|
|
39 |
|
21 |
8 |
9 |
2 |
|
40 |
1 |
21 |
8 |
9 |
2 |
|
41 |
|
21 |
8 |
9 |
|
4 |
42 |
1 |
21 |
8 |
9 |
|
4 |
43 |
|
21 |
8 |
9 |
2 |
4 |
44 |
1 |
21 |
8 |
9 |
2 |
4 |
45 |