Year 4 Being resilient

  • problem
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    Four Triangles Puzzle

    Age
    5 to 11
    Challenge level
    1 out of 3

    Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

  • Seeing Squares
    problem
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    Seeing Squares

    Age
    5 to 11
    Challenge level
    1 out of 3

    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.

  • Zios and Zepts
    problem
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    Zias and Zepts

    Age
    7 to 11
    Challenge level
    1 out of 3

    Zias have 3 legs and Zepts have 7 legs. If there were 52 legs, how many of each were there?

  • Fractional Triangles
    problem
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    Fractional Triangles

    Age
    7 to 11
    Challenge level
    1 out of 3

    Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

  • Nine-Pin Triangles
    problem
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    Nine-Pin Triangles

    Age
    7 to 11
    Challenge level
    1 out of 3

    How many different triangles can you make on a circular pegboard that has nine pegs?

  • Theatre masks showing 'comedy' and 'tragedy'.
    problem
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    Nice or Nasty

    Age
    7 to 11
    Challenge level
    1 out of 3

    Will you play the nice or the nasty version of this dice game?

  • problem
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    Fifteen Cards

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you use the information to find out which cards I have used?

  • Round the Dice Decimals 1
    problem
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    Round the Dice Decimals 1

    Age
    7 to 11
    Challenge level
    1 out of 3

    What happens when you round these decimals to the nearest whole number?

  • Seeing Parallelograms
    problem
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    Seeing Parallelograms

    Age
    7 to 11
    Challenge level
    1 out of 3

    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.

  • Digit Discovery
    problem
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    Digit Discovery

    Age
    7 to 11
    Challenge level
    1 out of 3

    Here is an interesting property about two sets of digits. Can you work out what the digits might be?

  • Roll these Dice
    problem
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    Roll These Dice

    Age
    7 to 11
    Challenge level
    2 out of 3

    Roll three dice, then add two numbers and take away the other. What answers could you get?

  • Amy's Dominoes
    problem
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    Amy's Dominoes

    Age
    7 to 11
    Challenge level
    2 out of 3

    Amy has a box of domino pieces. Which of her domino pieces are missing?

  • Shapes on the Playground
    problem
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    Shapes on the Playground

    Age
    7 to 11
    Challenge level
    2 out of 3

    Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

  • Four Go
    problem
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    Four Go

    Age
    7 to 11
    Challenge level
    2 out of 3

    This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

  • problem
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    Cut It Out

    Age
    7 to 11
    Challenge level
    3 out of 3

    Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

  • Symmetry Challenge
    problem
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    Symmetry Challenge

    Age
    7 to 11
    Challenge level
    3 out of 3

    How many symmetric designs can you make on this grid? Can you find them all?

  • The Remainders Game
    game
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    The Remainders Game

    Age
    7 to 14
    Challenge level
    1 out of 3

    Play this game and see if you can figure out the computer's chosen number.

  • Consecutive Numbers
    problem
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    Consecutive Numbers

    Age
    7 to 14
    Challenge level
    1 out of 3

    What can you discover about adding and subtracting sets of consecutive numbers?

  • What shape?
    problem
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    What Shape?

    Age
    7 to 14
    Challenge level
    1 out of 3

    This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

  • Climbing Conundrum
    problem
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    Climbing Conundrum

    Age
    7 to 14
    Challenge level
    1 out of 3

    Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?

  • Sealed Solution
    problem
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    Sealed Solution

    Age
    7 to 14
    Challenge level
    2 out of 3

    The sum of the numbers inside an envelope is written on the outside. What could the numbers be?

  • 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
    2 out of 3

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

  • Eight hidden squares
    problem
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    Eight Hidden Squares

    Age
    7 to 14
    Challenge level
    2 out of 3

    On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?