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Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?
1 out of 3
This task encourages you to investigate the number of edging pieces and panes in different sized windows.
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The sum of 9 consecutive positive whole numbers is 2007. What is the largest of these numbers?
This article for teachers outlines different types of recording, depending on the purpose and audience.
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We can make 'wire cages' by using rods as the edges of cuboids. Can you work out what the volume of each wire cage will be? How many rods will you use?
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Investigate the totals you get when adding numbers in threes on the diagonal of this pattern.
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Rectangle PQRS has X and Y on the edges. Triangles PQY, YRX and XSP have equal areas. Prove X and Y divide the sides of PQRS in the golden ratio.
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Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
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Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
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Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?
