Prompt Cards

These two group activities use mathematical reasoning - one is numerical, one geometric.

Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

Worms

Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

Stage: 2 Challenge Level:

If you write plus signs between each of the digits $1$ to $9$, this is what you get:

$1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45$

However, if you alter where the plus signs go, you could also get:

$12 + 3 + 45 + 6 + 7 + 8 + 9 = 90$

Can you put plus signs in so this is true?

$1\;$ $2\;$ $3\;$ $4\;$ $5\;$ $6\;$ $7\;$ $8\;$ $9\;$ $= 99$

How many ways can you do it?