Year 4 Being collaborative

  • problem

    Four triangles puzzle

    Age
    5 to 11
    Challenge level
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    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?

  • problem

    Venn diagrams

    Age
    5 to 11
    Challenge level
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    How will you complete these interactive Venn diagrams?

  • Discuss and Choose
    problem

    Discuss and choose

    Age
    5 to 11
    Challenge level
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    This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

  • Seeing Squares
    problem

    Seeing squares

    Age
    5 to 11
    Challenge level
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    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.

  • A Cartesian Puzzle
    problem

    A Cartesian puzzle

    Age
    7 to 11
    Challenge level
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    Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

  • Fractional Triangles
    problem

    Fractional triangles

    Age
    7 to 11
    Challenge level
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    Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

  • How Big Are Classes 5, 6 and 7?
    problem

    How big are classes 5, 6 and 7?

    Age
    7 to 11
    Challenge level
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    Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.

  • Carrying Cards
    problem

    Carrying cards

    Age
    7 to 11
    Challenge level
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    These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

  • Coordinate Challenge
    problem

    Coordinate challenge

    Age
    7 to 11
    Challenge level
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    Use the clues about the symmetrical properties of these letters to place them on the grid.

  • Shape Times Shape
    problem

    Shape times shape

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

  • Times Tables Shifts
    problem

    Times tables shifts

    Age
    7 to 11
    Challenge level
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    In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

  • Counters in the middle
    problem

    Counters in the middle

    Age
    7 to 11
    Challenge level
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    This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

  • Bryony's Triangle
    problem

    Bryony's triangle

    Age
    7 to 11
    Challenge level
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    Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

  • Let us divide!
    problem

    Let us divide!

    Age
    7 to 11
    Challenge level
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    Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

  • Representing Numbers
    problem

    Representing numbers

    Age
    7 to 11
    Challenge level
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    Find as many different ways of representing this number of dots as you can.

  • Seeing Parallelograms
    problem

    Seeing parallelograms

    Age
    7 to 11
    Challenge level
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    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

    Digit discovery

    Age
    7 to 11
    Challenge level
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    Here is an interesting property about two sets of digits. Can you work out what the digits might be?

  • Fractions in a Box
    problem

    Fractions in a box

    Age
    7 to 11
    Challenge level
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    The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

  • Stringy Quads
    problem

    Stringy quads

    Age
    7 to 11
    Challenge level
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    This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

  • Multiples Grid
    problem

    Multiples grid

    Age
    7 to 11
    Challenge level
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    What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

  • Table patterns go wild!
    problem

    Table patterns go wild!

    Age
    7 to 11
    Challenge level
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    Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

  • Quad match
    problem

    Quad match

    Age
    7 to 11
    Challenge level
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    A task which depends on members of the group noticing the needs of others and responding.

  • ReflectoR ! RotcelfeR
    problem

    ReflectoR ! RotcelfeR

    Age
    7 to 11
    Challenge level
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    Can you place the blocks so that you see the reflection in the picture?

  • What shape?
    problem

    What shape?

    Age
    7 to 14
    Challenge level
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    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.

  • Chocolate
    problem

    Chocolate

    Age
    7 to 14
    Challenge level
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    There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

  • Remainders
    problem

    Remainders

    Age
    7 to 14
    Challenge level
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    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

    Eight hidden squares

    Age
    7 to 14
    Challenge level
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    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?