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Well done to everybody who completed these sequences. We had an anonymous solution sent in from a child in Scotland, who said:
The first solution is 1/4, 1/5. I chose these numbers because the pattern is already 0, 1, 2, 3.
The solution for the second problem is 3/1, 2/0. I chose these numbers because the pattern is going down on the top and on the bottom of the dominoes.
The solution for the third problem is 4/3, 3/3. I chose these numbers because the pattern is going down on the bottom, then on the top.
The solution for the fourth problem is 4/3, 5/2. I chose these numbers because the top is going up, but the bottom is going down.
The solution for the fifth problem is 3/0, 3/5. I chose these numbers because the pattern goes right number, left number, both, left number, right number (up one) both.
Well done for those clear explanations!
David from Tithe Barn Primary School sent us some pictures of the dominoes which complete these sequences. Abigail and Rachel from Histon and Impington Infants School have explained the patterns for the last two:
You are counting backwards on the bottom and forwards on the top. You would need an extra domino set, because the same dominos are used twice. | |
There are two patterns that bounce over each other: 0/5 1/5 2/5 3/5 and 1/0 2/0 3/0 |
Thank you all for sending in your ideas!
Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?