Year 6 Being collaborative

  • problem

    The moons of Vuvv

    Age
    7 to 11
    Challenge level
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    The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

  • Plenty of Pens
    problem

    Plenty of pens

    Age
    7 to 11
    Challenge level
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    Amy's mum gave her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

  • Would You Rather?
    problem

    Would you rather?

    Age
    7 to 11
    Challenge level
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    Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

  • First Connect Three
    problem

    First connect three

    Age
    7 to 11
    Challenge level
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    Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

  • problem

    Birdwatch

    Age
    7 to 11
    Challenge level
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    Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

  • Domino sets
    problem

    Domino sets

    Age
    7 to 11
    Challenge level
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    How do you know if your set of dominoes is complete?

  • Shape Draw
    problem

    Shape draw

    Age
    7 to 11
    Challenge level
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    Use the information on these cards to draw the shape that is being described.

  • Round the Four Dice
    problem

    Round the four dice

    Age
    7 to 11
    Challenge level
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    This activity involves rounding four-digit numbers to the nearest thousand.

  • Round the Three Dice
    problem

    Round the three dice

    Age
    7 to 11
    Challenge level
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    What happens when you round these three-digit numbers to the nearest 100?

  • Making Cuboids
    problem

    Making cuboids

    Age
    7 to 11
    Challenge level
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    Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

  • Pumpkin Pie Problem
    problem

    Pumpkin pie problem

    Age
    7 to 11
    Challenge level
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    Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

  • Mystery Matrix
    problem

    Mystery matrix

    Age
    7 to 11
    Challenge level
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    Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

  • Cut Nets
    problem

    Cut nets

    Age
    7 to 11
    Challenge level
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    Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

  • problem

    Factor-multiple chains

    Age
    7 to 11
    Challenge level
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    Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

  • Next size up
    problem

    Next size up

    Age
    7 to 11
    Challenge level
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    The challenge for you is to make a string of six (or more!) graded cubes.

  • Price Match
    problem

    Price match

    Age
    7 to 11
    Challenge level
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    Can you find pairs of differently sized windows that cost the same?

  • Different Deductions
    problem

    Different deductions

    Age
    7 to 11
    Challenge level
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    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • Quadrilaterals
    problem

    Quadrilaterals

    Age
    7 to 11
    Challenge level
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    How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

  • Finding 3D Stacks
    problem

    Finding 3D stacks

    Age
    7 to 11
    Challenge level
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    Can you find a way of counting the spheres in these arrangements?

  • problem

    Factor lines

    Age
    7 to 14
    Challenge level
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    Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

  • problem

    Doughnut percents

    Age
    7 to 14
    Challenge level
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    Can you work as a team to make doughnuts by matching these fractions, decimals and percentages?

  • problem

    Counting cogs

    Age
    7 to 14
    Challenge level
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    Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

  • problem

    Three neighbours

    Age
    7 to 14
    Challenge level
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    Take three consecutive numbers and add them together. What do you notice?

  • Number Lines in Disguise
    problem

    Number lines in disguise

    Age
    7 to 14
    Challenge level
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    Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

  • Ten Hidden Squares
    problem

    Ten hidden squares

    Age
    7 to 14
    Challenge level
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    These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

  • Two and Two
    problem

    Two and two

    Age
    7 to 16
    Challenge level
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    How many solutions can you find to this sum? Each of the different letters stands for a different number.