Number Daisy

Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Number Daisy printable worksheet

 

1 = 1

2 = 2

3 = 1 + 2

4 = 4

5 = 5

6 = 2 + 4

7 = 1 + 2 + 4

8 = 5 + 1 + 2

9 = 4 + 5

10 = 7 + 1 + 2

11 = 5 + 4 + 2

12 = 5 + 4 + 2 + 1

13 = 7 + 6

14 = 7 + 6 + 1

15 = 7 + 6 + 2

16 = 7 + 6 + 2 + 1

17 = 7 + 5 + 4 + 1

18 = 7 + 5 + 4 + 2

19 = 7 + 5 + 4 + 2 + 1

20 = 5 + 7 + 6 + 2

21 = 5 + 7 + 6 + 2 + 1

22 = 4 + 5 + 7 + 6

23 = 5 + 7 + 6 + 1 + 4

24 = 5 + 7 + 6 + 2 + 4

25 = 5 + 7 + 6 + 2 + 4 + 1
This Daisy is special because you can make

every number from 1 to 25.

You are only allowed to add neighbours

(numbers touching each other) and you can

only use each number once in a sum.
Image
Number Daisy

 

We can make all the numbers from 1 to 25 using this Daisy.

Can you do better than this with a different set of numbers?

The challenge is to find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25.

 

This task was found in one of Brian Bolt's books and developed by MEDIAN in their collection of interesting number resources.