The Three Billy Goats Gruff

When the Three Billy Goats Gruff trip-trapped across the Troll’s bridge, what order did they cross in?

In what other order could they have crossed the bridge?
How many different answers can you find?

il_fullxfull_49028741

What if there were four goats in the story?

25 thoughts on “The Three Billy Goats Gruff

  1. There are many answers.

    B-big goat
    M- medium goat
    S- small goat

    B,m,s
    B,s,m
    M,s,b
    M,b,s
    S,m,b
    S,b,m
    That’s what I got from 3 goats

  2. 1234 2134 3124 4123
    1243 2143 3142 4132
    1324 2341 3214 4231
    1342 2314 3241 4213
    1432 2413 3412 4321
    1423 2431 3421 4312

    🙂 These are the possibilities with four goats.

    1. Why are there so many more than 6 answers this time? How many answers do you predict there will be with 5 goats? Mrs Bowler and I have been trying to look for a pattern in the number of answers if the number of goats increases by 1. Mr E

    2. I can see a sort of grouping method going on here? How did you arrive at this method and did you do it straight away! Post your explanation in the box Chloe! ( and tell year 5/6 we want to see more of them on here! Seriously letting the side down so far) Mrs M

  3. I think I have seen a few patterns. I can predict the number of ways for 5 and 6 goats. Has anyone else noticed anything about the numbers?

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s