
Reasoning, convincing and proving
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problem
Missing multipliers
What is the smallest number of answers you need to reveal in order to work out the missing headers? -
problem
Which solids can we make?
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
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problem
Journeys in Numberland
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
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problem
The add and take-away path
Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own? -
problem
The car that passes
What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?
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problem
Inky cube
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
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problem
Pairs of numbers
If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?
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problem
Curious number
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
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problem
Takeaway time
Pizza, Indian or Chinese takeaway? If everyone liked at least one, how many only liked Indian?