Year 6 Exploring and noticing

  • problem
    Favourite

    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
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    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?

  • A wooden noughts and crosses game, with three crosses in a diagonal row.
    problem
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    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?

  • Planning a School Trip
    problem
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    Planning a School Trip

    Age
    7 to 11
    Challenge level
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    You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

  • Jumping
    problem
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    Jumping

    Age
    7 to 11
    Challenge level
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    After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

  • problem
    Favourite

    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
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    Domino Sets

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

  • Round the Four Dice
    problem
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    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
    Favourite

    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?

  • Name That Triangle!
    problem
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    Name That Triangle!

    Age
    7 to 11
    Challenge level
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    Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

  • problem
    Favourite

    Round and Round the Circle

    Age
    7 to 11
    Challenge level
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    What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

  • Pumpkin Pie Problem
    problem
    Favourite

    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
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    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.

  • In the Money
    problem
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    In the Money

    Age
    7 to 11
    Challenge level
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    One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

  • Sponge Sections
    problem
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    Sponge Sections

    Age
    7 to 11
    Challenge level
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    You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

  • Cut Nets
    problem
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    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
    Favourite

    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?

  • Four Go
    problem
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    Four Go

    Age
    7 to 11
    Challenge level
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    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?

  • Next size up
    problem
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    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
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    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
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    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?

  • Dicey Operations
    game
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    Dicey Operations

    Age
    7 to 14
    Challenge level
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    In these addition and subtraction games, you'll need to think strategically to get closest to the target.

  • A rolled up old-fashioned treasure map.
    problem
    Favourite

    Treasure Hunt

    Age
    7 to 14
    Challenge level
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    Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

  • Dicey Operations
    game
    Favourite

    More Dicey Operations

    Age
    7 to 14
    Challenge level
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    In these multiplication and division games, you'll need to think strategically to get closest to the target.

  • problem
    Favourite

    Doughnut Percents

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

  • problem
    Favourite

    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
    Favourite

    Three Neighbours

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