### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### I'm Eight

Find a great variety of ways of asking questions which make 8.

### Calendar Capers

Choose any three by three square of dates on a calendar page. Circle any number on the top row, put a line through the other numbers that are in the same row and column as your circled number. Repeat this for a number of your choice from the second row. You should now have just one number left on the bottom row, circle it. Find the total for the three numbers circled. Compare this total with the number in the centre of the square. What do you find? Can you explain why this happens?

# Number Daisy

##### Stage: 3 Challenge Level:

 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.

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.