Describing patterns and sequences

  • Sept 03
    problem
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    Sept 03

    Age
    11 to 14
    Challenge level
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    What is the last digit of the number 1 / 5^903 ?
  • Sunrise over some tower blocks.
    problem
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    A City of Towers

    Age
    5 to 7
    Challenge level
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    In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

  • Chairs and Tables
    problem
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    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!

  • Repeating Patterns
    problem
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    Repeating Patterns

    Age
    5 to 7
    Challenge level
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    Try continuing these patterns made from triangles. Can you create your own repeating pattern?

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    Cube Bricks and Daisy Chains

    Age
    5 to 7
    Challenge level
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    Daisy and Akram have made some number patterns. Can you find out which pattern is longer?

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    Poly Plug Pattern

    Age
    5 to 7
    Challenge level
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    Create a pattern on the small grid. How could you extend your pattern on the larger grid?

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    Domino Patterns

    Age
    5 to 7
    Challenge level
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    What patterns can you make with a set of dominoes?

  • Chain of Changes
    problem
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    Chain of Changes

    Age
    5 to 7
    Challenge level
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    In this activity, shapes can be arranged by changing either the colour or the shape each time. Can you find a way to do it?

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    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.

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    Caterpillars

    Age
    5 to 7
    Challenge level
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    These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?