Maths to Take Your Time Over: Age 11-14

This collection of tasks is part of the activities for 11-14 year olds section of the Maths at Home feature. The activities below are worth exploring over a few days, or even a few weeks! The stars represent the challenge level, with three stars indicating the most challenging activities. 

You may also wish to explore Maths to Take Your Time Over for 7-11 year olds, and Maths to Take Your Time Over for 14-16 year olds.

  • Summing Consecutive Numbers
    problem
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    Summing Consecutive Numbers

    Age
    11 to 14
    Challenge level
    1 out of 3

    15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

  • problem
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    Reaction Timer

    Age
    11 to 14
    Challenge level
    1 out of 3

    This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

  • Squares in rectangles
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    Squares in Rectangles

    Age
    11 to 14
    Challenge level
    2 out of 3

    A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?

  • Fibonacci Surprises
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    Fibonacci Surprises

    Age
    11 to 14
    Challenge level
    2 out of 3

    Play around with the Fibonacci sequence and discover some surprising results!