Year 7 Being curious
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problemClimbing complexity
In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?
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problemMore number pyramids
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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problemOn the edge
If you move the tiles around, can you make squares with different coloured edges?
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problemSquares in rectangles
A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?
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problemLitov's mean value theorem
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
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problemSearching for mean(ing)
If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?