Describing patterns and sequences

  • Tables Without Tens
    problem

    Tables without tens

    Age
    7 to 11
    Challenge level
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    Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.
  • Squares in rectangles
    problem

    Squares in rectangles

    Age
    11 to 14
    Challenge level
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    A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?

  • Chairs and Tables
    problem

    Chairs and tables

    Age
    5 to 7
    Challenge level
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    Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

  • problem

    Three ball line up

    Age
    5 to 7
    Challenge level
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    Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

  • Function Machines
    problem

    Function machines

    Age
    7 to 11
    Challenge level
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    If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?
  • 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?

  • Sets of Four Numbers
    problem

    Sets of four numbers

    Age
    7 to 11
    Challenge level
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    There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
  • Hundred Square Poster
    problem

    Hundred square

    Age
    5 to 11
    Challenge level
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    A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

  • Painted Cube
    problem

    Painted cube

    Age
    14 to 16
    Challenge level
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    Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?

  • Coordinate Patterns
    problem

    Coordinate patterns

    Age
    11 to 14
    Challenge level
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    Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?