Visualising and representing
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problemAt least one...
Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?
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problemWhat numbers can we make?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
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problemFractions rectangle
The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
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problemOdds, evens and more evens
Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
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problemNumber pyramids
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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problemSieve of Eratosthenes
Follow this recipe for sieving numbers and see what interesting patterns emerge.
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problemOlympic records
Can you deduce which Olympic athletics events are represented by the graphs?
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problemSumming consecutive numbers
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
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problemConstructing triangles
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?