Describing patterns and sequences
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problemAll Seated
Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
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problemSets of Four Numbers
There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
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problemFunction Machines
If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?
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problemInvestigating Pascal's Triangle
In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.
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problemButton-Up Some More
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
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problemRods and Rods
Using only the red and white rods, how many different ways are there to make up the other colours of rod?
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problemBundles of Cubes
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
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problemLost Books
While we were sorting some papers we found 3 strange sheets which seemed to come from small books but there were page numbers at the foot of each page. Did the pages come from the same book? -
problemTransformation Tease
What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?