Being collaborative
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problemThis task depends on groups working collaboratively, discussing and reasoning to agree a final product. -
problemChances are
Which of these games would you play to give yourself the best possible chance of winning a prize?
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problemThe better choice
Here are two games you can play. Which offers the better chance of winning?
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problemCircles in quadrilaterals
Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.
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problemTrack design
Where should runners start the 200m race so that they have all run the same distance by the finish?
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problemGenerating triples
Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?
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problemSteel cables
Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?
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problemFactorising with multilink
Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
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problemNutrition and cycling
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
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problemPicturing the world
How can we make sense of national and global statistics involving very large numbers?