Year 4 Exploring and noticing

  • problem
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    Venn Diagrams

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

  • Discuss and Choose
    problem
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    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
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    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.

  • Zios and Zepts
    problem
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    Zias and Zepts

    Age
    7 to 11
    Challenge level
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    On the planet Vuv there are two sorts of creatures. The Zias have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zias and how many Zepts were there?

  • Let Us Reflect
    problem
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    Let Us Reflect

    Age
    7 to 11
    Challenge level
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    Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

  • Fractional Triangles
    problem
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    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
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    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.

  • The Thousands Game
    problem
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    The Thousands Game

    Age
    7 to 11
    Challenge level
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    Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

  • An arrow target with three arrows sticking out of the centre section.
    problem
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    Four-Digit Targets

    Age
    7 to 11
    Challenge level
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    You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

  • Nice or Nasty
    problem
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    Nice or Nasty

    Age
    7 to 11
    Challenge level
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    There are nasty versions of this dice game but we'll start with the nice ones...

  • problem
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    Fifteen Cards

    Age
    7 to 11
    Challenge level
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    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
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    Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

  • Count Me In
    problem
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    Count Me In

    Age
    7 to 11
    Challenge level
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    How do you know whether you will reach these numbers when you count in steps of six from zero?

  • Seeing Parallelograms
    problem
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    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
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    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?

  • Roll these Dice
    problem
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    Roll These Dice

    Age
    7 to 11
    Challenge level
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    Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

  • Amy's Dominoes
    problem
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    Amy's Dominoes

    Age
    7 to 11
    Challenge level
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    Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

  • Fractions in a Box
    problem
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    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.

  • problem
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    Take Your Dog for a Walk

    Age
    7 to 11
    Challenge level
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    Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

  • Multiples Grid
    problem
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    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?

  • 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?

  • Table patterns go wild!
    problem
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    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.

  • problem
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    Cut It Out

    Age
    7 to 11
    Challenge level
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    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?

  • ReflectoR ! RotcelfeR
    problem
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    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?

  • Reasoned Rounding
    problem
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    Reasoned Rounding

    Age
    7 to 14
    Challenge level
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    Four strategy dice games to consolidate pupils' understanding of rounding.

  • Climbing Conundrum
    problem
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    Climbing Conundrum

    Age
    7 to 14
    Challenge level
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    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?

  • Chocolate
    problem
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    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?