Being resourceful

  • Special Numbers
    problem

    Special numbers

    Age
    11 to 14
    Challenge level
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    My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

  • problem

    A mixed-up clock

    Age
    7 to 11
    Challenge level
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    There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

  • How Many Miles To Go?
    problem

    How many miles to go?

    Age
    11 to 14
    Challenge level
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    How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

  • The Deca Tree
    problem

    The Deca Tree

    Age
    7 to 11
    Challenge level
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    Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

  • Trebling
    problem

    Trebling

    Age
    7 to 11
    Challenge level
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    Can you replace the letters with numbers? Is there only one solution in each case?

  • Eggs in Baskets
    problem

    Eggs in baskets

    Age
    5 to 7
    Challenge level
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    There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

  • Hexy-Metry
    problem

    Hexy-metry

    Age
    14 to 16
    Challenge level
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    A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?

  • Make 37 Poster
    problem

    Make 37

    Age
    5 to 11
    Challenge level
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    Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

  • Let Us Reflect
    problem

    Let us reflect

    Age
    7 to 11
    Challenge level
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    Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

  • Shady Symmetry
    problem

    Shady symmetry

    Age
    11 to 14
    Challenge level
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    How many different symmetrical shapes can you make by shading triangles or squares?