Exploring and noticing

  • The tomato and the bean
    problem

    The tomato and the bean

    Age
    5 to 7
    Challenge level
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    At the beginning of May, Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?

  • Mystery Matrix
    problem

    Mystery matrix

    Age
    7 to 11
    Challenge level
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    Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

  • problem

    The moons of Vuvv

    Age
    7 to 11
    Challenge level
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    The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

  • What's it worth?
    problem

    What's it worth?

    Age
    11 to 16
    Challenge level
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    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • Twenty Divided into Six
    problem

    Twenty divided into six

    Age
    7 to 11
    Challenge level
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    Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

  • Numerically Equal
    problem

    Numerically equal

    Age
    7 to 11
    Challenge level
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    Can you draw a square in which the perimeter is numerically equal to the area?

  • Amy's Dominoes
    problem

    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?

  • Pumpkin Pie Problem
    problem

    Pumpkin pie problem

    Age
    7 to 11
    Challenge level
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    Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

  • Forgot the Numbers
    problem

    Forgot the numbers

    Age
    7 to 11
    Challenge level
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    On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

  • Make 100
    problem

    Make 100

    Age
    7 to 11
    Challenge level
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    Find at least one way to put in some operation signs to make these digits come to 100.