Year 7 Working systematically

  • An Equilateral Triangular Problem
    problem
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    An Equilateral Triangular Problem

    Age
    11 to 14
    Challenge level
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    Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

  • Can you Make 100?
    problem
    Favourite

    Can You Make 100?

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

  • Shape Products
    problem
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    Shape Products

    Age
    11 to 14
    Challenge level
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    These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

  • Almost One
    problem
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    Almost One

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Choose some fractions and add them together. Can you get close to 1?

  • On the Edge
    problem
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    On the Edge

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    If you move the tiles around, can you make squares with different coloured edges?

  • Squares in rectangles
    problem
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    Squares in Rectangles

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?

  • Square It
    problem
    Favourite

    Square It

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

  • Parallelogram It
    problem
    Favourite

    Parallelogram It

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.