Conjecturing and generalising

  • Unit Differences
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    Unit Differences

    Age
    5 to 7
    Challenge level
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    This challenge is about finding the difference between numbers which have the same tens digit.

  • Five Steps to 50
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    Five Steps to 50

    Age
    5 to 7
    Challenge level
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    Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

  • Two dice, each showing five.
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    Doubling Fives

    Age
    5 to 7
    Challenge level
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    This activity focuses on doubling multiples of five.

  • Double or Halve?
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    Double or Halve?

    Age
    5 to 7
    Challenge level
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    Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

  • Triangle or No Triangle?
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    Triangle or No Triangle?

    Age
    5 to 7
    Challenge level
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    Here is a selection of different shapes. Can you work out which ones are triangles, and why?

  • Unexpected Ordering
    problem

    Unexpected Ordering

    Age
    5 to 7
    Challenge level
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    Watch the video of Fran re-ordering these number cards. What do you notice? Try it for yourself. What happens?
  • Ring a Ring of Numbers
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    Ring a Ring of Numbers

    Age
    5 to 7
    Challenge level
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    Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

  • Light the Lights
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    Light the Lights

    Age
    5 to 7
    Challenge level
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    Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

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    How Odd

    Age
    5 to 7
    Challenge level
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    This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

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    Grouping Goodies

    Age
    5 to 7
    Challenge level
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    Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?