Year 7 Being curious

  • Summing Consecutive Numbers
    problem

    Summing consecutive numbers

    Age
    11 to 14
    Challenge level
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    15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

  • Number Daisy
    problem

    Number daisy

    Age
    11 to 14
    Challenge level
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    Can you find six numbers to go in the daisy from which you can make all the numbers from 1 to a number bigger than 25?

  • Number Pyramids
    problem

    Number pyramids

    Age
    11 to 14
    Challenge level
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    Try entering different sets of numbers in the number pyramids. How does the total at the top change?

  • Consecutive Seven
    problem

    Consecutive seven

    Age
    11 to 14
    Challenge level
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    Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

  • Shifting Times Tables
    problem

    Shifting times tables

    Age
    11 to 14
    Challenge level
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    Can you find a way to identify times tables after they have been shifted up or down?

  • Sieve of Eratosthenes
    problem

    Sieve of Eratosthenes

    Age
    11 to 14
    Challenge level
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    Follow this recipe for sieving numbers and see what interesting patterns emerge.

  • Perimeter Possibilities
    problem

    Perimeter possibilities

    Age
    11 to 14
    Challenge level
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    I'm thinking of a rectangle with an area of 24. What could its perimeter be?

  • About Average
    problem

    About average

    Age
    11 to 14
    Challenge level
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    Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

  • Beach Huts
    problem

    Beach huts

    Age
    11 to 14
    Challenge level
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    Can you figure out how sequences of beach huts are generated?

  • Add to 200
    problem

    Add to 200

    Age
    11 to 14
    Challenge level
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    By selecting digits for an addition grid, what targets can you make?