Exploring and noticing
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problemTrapezium four
The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?
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problemSubstitution cipher
Find the frequency distribution for ordinary English, and use it to help you crack the code.
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problemDomino sorting
Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?
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problemReal statistics
Have a look at this table of how children travel to school. How does it compare with children in your class?
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problemMagic potting sheds
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it? -
problemBrush loads
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
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problemTables without tens
Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables. -
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problemWarmsnug double glazing
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?