Year 4 Conjecturing and generalising

  • 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?

  • Sorting Logic Blocks
    problem
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    Sorting Logic Blocks

    Age
    5 to 11
    Challenge level
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    This activity focuses on similarities and differences between shapes.

  • 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?

  • Carrying Cards
    problem
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    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?

  • Fractional Wall
    problem
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    Fractional Wall

    Age
    7 to 11
    Challenge level
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    Using the picture of the fraction wall, can you find equivalent fractions?

  • 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...

  • Times Tables Shifts
    problem
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    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?

  • 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?

  • 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.

  • 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?

  • 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?

  • Light the Lights Again
    problem
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    Light the Lights Again

    Age
    7 to 11
    Challenge level
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    Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?

  • 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?

  • The Remainders Game
    game
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    The Remainders Game

    Age
    7 to 14
    Challenge level
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    Play this game and see if you can figure out the computer's chosen number.

  • 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?