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# Unexpected Ordering

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### Buzzy Bee

### Fair Exchange

### Missing Middles

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Prabhnoor from Willowbank School in New Zealand wrote:

The first time she dealt the cards out there was one card left the second time there were no cards left.

Lucia added:

I tried the trick and I figured that firstly, I had 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and then I flipped it over just like the video did and ten was at the back. So then I flipped ten with nine so the ten was on the ground and nine on top. Then I flipped the eight and seven around so that eight was nearest to the ground and seven on top . I repeated this pattern so that I could get 1 on top of 2, 2 on top of 3, 3 on top of 4, and etc. That is why I would have the numbers backwards when I look at the cards/numbers.

Israel from Lark Rise Academy wrote:

Because when you collect the cards up, the bigger ones end up on the smaller ones so if you swap them around it would make it in order so that is how that trick is made.

The first time she dealt the cards out there was one card left the second time there were no cards left.

Lucia added:

I tried the trick and I figured that firstly, I had 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and then I flipped it over just like the video did and ten was at the back. So then I flipped ten with nine so the ten was on the ground and nine on top. Then I flipped the eight and seven around so that eight was nearest to the ground and seven on top . I repeated this pattern so that I could get 1 on top of 2, 2 on top of 3, 3 on top of 4, and etc. That is why I would have the numbers backwards when I look at the cards/numbers.

Israel from Lark Rise Academy wrote:

Because when you collect the cards up, the bigger ones end up on the smaller ones so if you swap them around it would make it in order so that is how that trick is made.

Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?