Being resilient

  • A Square of Numbers
    problem

    A square of numbers

    Age
    7 to 11
    Challenge level
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    Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

  • Trebling
    problem

    Trebling

    Age
    7 to 11
    Challenge level
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    Can you replace the letters with numbers? Is there only one solution in each case?

  • 5 on the clock
    problem

    5 on the clock

    Age
    7 to 11
    Challenge level
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    On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

  • Symmetry Challenge
    problem

    Symmetry challenge

    Age
    7 to 11
    Challenge level
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    How many symmetric designs can you make on this grid? Can you find them all?

  • Make 37 Poster
    problem

    Make 37

    Age
    5 to 11
    Challenge level
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    Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

  • Take Three From Five
    problem

    Take three from five

    Age
    11 to 16
    Challenge level
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    Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?

  • Fitted
    problem

    Fitted

    Age
    7 to 11
    Challenge level
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    Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

  • Reflecting Squarely
    problem

    Reflecting squarely

    Age
    11 to 14
    Challenge level
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    In how many ways can you fit all three pieces together to make shapes with line symmetry?

  • problem

    Ladybirds in the garden

    Age
    5 to 7
    Challenge level
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    In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

  • Remainders
    problem

    Remainders

    Age
    7 to 14
    Challenge level
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    I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?