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There are nasty versions of this dice game but we'll start with the nice ones...

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Who said that adding, subtracting, multiplying and dividing couldn't be fun?

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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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How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

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There are lots of ideas to explore in these sequences of ordered fractions.

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Use the differences to find the solution to this Sudoku.

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Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

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By selecting digits for an addition grid, what targets can you make?

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What happens when you add a three digit number to its reverse?

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Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

A collection of short problems on place value, integers, ordering and rounding.

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Try out some calculations. Are you surprised by the results?

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In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.