Explaining, convincing and proving
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problemColourful cube
A colourful cube is made from little red and yellow cubes. But can you work out how many of each?
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problemGabriel's problem
Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?
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problemStar polygons
Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?
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problemLegs eleven
Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?
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problemThink of two numbers
Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
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problemChildren at large
There are four children in a family, two girls, Kate and Sally, and two boys, Tom and Ben. How old are the children? -
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problemMore number pyramids
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...