Working systematically

  • problem
    Favourite

    Reach 100

    Age
    7 to 11
    Challenge level
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    Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

  • problem
    Favourite

    Two Primes Make One Square

    Age
    7 to 11
    Challenge level
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    Can you make square numbers by adding two prime numbers together?

  • Seven Pots of Plants
    problem

    Seven Pots of Plants

    Age
    7 to 11
    Challenge level
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    There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.
  • A Square Deal
    problem

    A Square Deal

    Age
    7 to 11
    Challenge level
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    Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.
  • Eight queens
    problem

    Eight Queens

    Age
    7 to 11
    Challenge level
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    Place eight queens on an chessboard (an 8 by 8 grid) so that none can capture any of the others.

  • Elf Suits
    problem

    Elf Suits

    Age
    7 to 11
    Challenge level
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    If these elves wear a different outfit every day for as many days as possible, how many days can their fun last?
  • The Pied Piper of Hamelin
    problem

    The Pied Piper of Hamelin

    Age
    7 to 11
    Challenge level
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    This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

  • Adding Plus
    problem

    Adding Plus

    Age
    7 to 11
    Challenge level
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    Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?

  • All seated
    problem

    All Seated

    Age
    7 to 11
    Challenge level
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    Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?

  • Chocoholics
    problem

    Chocoholics

    Age
    7 to 11
    Challenge level
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    George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?