Year 7 Visualising and representing

  • Your number is...
    problem
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    Your Number Is...

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

    Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

  • The Number Jumbler
    problem
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    The Number Jumbler

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

    The Number Jumbler can always work out your chosen symbol. Can you work out how?

  • A chopped carrot beside a whole carrot. The carrot top sits away from the chopped carrot.
    problem
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    Remainders

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

    I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

  • Number Lines in Disguise
    problem
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    Number Lines in Disguise

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

    Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

  • Up, down, flying around
    game
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    Up, Down, Flying Around

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

    Play this game to learn about adding and subtracting positive and negative numbers

  • Summing Consecutive Numbers
    problem
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    Summing Consecutive Numbers

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

    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?

  • Reflecting Squarely
    problem
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    Reflecting Squarely

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

    In how many ways can you fit all three pieces together to make shapes with line symmetry?

  • Shady Symmetry
    problem
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    Shady Symmetry

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

    How many different symmetrical shapes can you make by shading triangles or squares?

  • Picturing Square Numbers
    problem
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    Picturing Square Numbers

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

    Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?

  • Number Pyramids
    problem
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    Number Pyramids

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

    Try entering different sets of numbers in the number pyramids. How does the total at the top change?

  • Consecutive Seven
    problem
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    Consecutive Seven

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

    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?

  • Odds and Evens
    problem
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    Odds and Evens

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

    Are these games fair? How can you tell?

  • Mixing Lemonade
    problem
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    Mixing Lemonade

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

    Can you work out which drink has the stronger flavour?

  • Perimeter Expressions
    problem
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    Perimeter Expressions

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

    Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?

  • Sieve of Eratosthenes
    problem
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    Sieve of Eratosthenes

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

    Follow this recipe for sieving numbers and see what interesting patterns emerge.

  • Odds, Evens and More Evens
    problem
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    Odds, Evens and More Evens

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

    Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

  • Add to 200
    problem
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    Add to 200

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

    By selecting digits for an addition grid, what targets can you make?

  • Perimeter Challenge
    problem
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    Perimeter Challenge

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

    Can you deduce the perimeters of the shapes from the information given?

  • Colourful Cube
    problem
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    Colourful Cube

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

    A colourful cube is made from little red and yellow cubes. But can you work out how many of each?

  • Fractions Rectangle
    problem
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    Fractions Rectangle

    Age
    11 to 14
    Challenge level
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    The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

  • More Number Pyramids
    problem
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    More Number Pyramids

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

    When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

  • Shear Magic
    problem
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    Shear Magic

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

    Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

  • 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?

  • Searching for mean(ing)
    problem
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    Searching for Mean(ing)

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

    If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?