Year 8 Being resourceful

  • Subtraction Surprise
    problem
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    Subtraction Surprise

    Age
    7 to 14
    Challenge level
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    Try out these calculations. Are you surprised by the results?

  • Method in multiplying madness?
    problem
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    Method in Multiplying Madness?

    Age
    7 to 14
    Challenge level
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    Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

  • A green frog.
    problem
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    Frogs

    Age
    11 to 14
    Challenge level
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    How many moves does it take to swap over some red and blue frogs? Do you have a method?

  • Isosceles Triangles
    problem
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    Isosceles Triangles

    Age
    11 to 14
    Challenge level
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    Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

  • How much can we spend?
    problem
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    How Much Can We Spend?

    Age
    11 to 14
    Challenge level
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    A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

  • problem
    Favourite

    How Would You Score It?

    Age
    11 to 14
    Challenge level
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    Invent a scoring system for a 'guess the weight' competition.

  • A ring of Jacks, Queens and Kings on a green table.
    problem
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    Sociable Cards

    Age
    11 to 14
    Challenge level
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    Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

  • Constructing Triangles
    problem
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    Constructing Triangles

    Age
    11 to 14
    Challenge level
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    Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

  • Half a minute
    problem
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    Half a Minute

    Age
    11 to 14
    Challenge level
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    Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

  • Forwards Add Backwards
    problem
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    Forwards Add Backwards

    Age
    11 to 14
    Challenge level
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    What happens when you add a three digit number to its reverse?

  • Gabriel's Problem
    problem
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    Gabriel's Problem

    Age
    11 to 14
    Challenge level
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    Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

  • Number Families
    problem
    Favourite

    Number Families

    Age
    11 to 14
    Challenge level
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    How many different number families can you find?

  • Pocket money
    problem
    Favourite

    Pocket Money

    Age
    11 to 14
    Challenge level
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    Which of these pocket money systems would you rather have?

  • Transformation Game
    game
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    Transformation Game

    Age
    11 to 14
    Challenge level
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    Why not challenge a friend to play this transformation game?

  • Where can we visit?
    problem
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    Where Can We Visit?

    Age
    11 to 14
    Challenge level
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    Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: ×2 and -5. What do you think?

  • Coordinate Patterns
    problem
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    Coordinate Patterns

    Age
    11 to 14
    Challenge level
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    Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

  • Stars
    problem
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    Stars

    Age
    11 to 14
    Challenge level
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    Can you work out what step size to take to ensure you visit all the dots on the circle?

  • Shapely pairs
    problem
    Favourite

    Shapely Pairs

    Age
    11 to 14
    Challenge level
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    A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

  • Property chart
    problem
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    Property Chart

    Age
    11 to 14
    Challenge level
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    A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

  • Factors and Multiples Puzzle
    problem
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    Factors and Multiples Puzzle

    Age
    11 to 14
    Challenge level
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    Using your knowledge of the properties of numbers, can you fill all the squares on the board?

  • Always a multiple?
    problem
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    Always a Multiple?

    Age
    11 to 14
    Challenge level
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    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

  • Seven Squares
    problem
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    Seven Squares

    Age
    11 to 14
    Challenge level
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    Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

  • Unequal Averages
    problem
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    Unequal Averages

    Age
    11 to 14
    Challenge level
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    Play around with sets of five numbers and see what you can discover about different types of average...

  • Four playing cards on top of each other. Each card shows a different ace.
    problem
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    Snappy Statements

    Age
    11 to 14
    Challenge level
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    Use properties of numbers to work out whether you can satisfy all these statements at the same time.

  • Charlie's delightful machine
    problem
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    Charlie's Delightful Machine

    Age
    11 to 16
    Challenge level
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    Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

  • Multiple Surprises
    problem
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    Multiple Surprises

    Age
    11 to 16
    Challenge level
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    Sequences of multiples keep cropping up...

  • crossing the bridge
    problem
    Favourite

    Crossing the Bridge

    Age
    11 to 18
    Challenge level
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    Four friends must cross a bridge. How can they all cross it in just 17 minutes?