Exploring and noticing

  • problem
    Favourite

    How Would You Score It?

    Age
    11 to 14
    Challenge level
    1 out of 3

    Invent a scoring system for a 'guess the weight' competition.

  • Attractive rotations
    problem
    Favourite

    Attractive Rotations

    Age
    11 to 14
    Challenge level
    1 out of 3

    Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

  • Your number was...
    problem
    Favourite

    Your Number Was...

    Age
    11 to 14
    Challenge level
    1 out of 3

    Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?

  • What does random look like?
    problem
    Favourite

    What Does Random Look Like?

    Age
    11 to 14
    Challenge level
    1 out of 3

    Engage in a little mathematical detective work to see if you can spot the fakes.

  • Perimeter Expressions
    problem
    Favourite

    Perimeter Expressions

    Age
    11 to 14
    Challenge level
    1 out of 3

    Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?

  • What numbers can we make?
    problem
    Favourite

    What Numbers Can We Make?

    Age
    11 to 14
    Challenge level
    1 out of 3

    Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

  • Can you Make 100?
    problem
    Favourite

    Can You Make 100?

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

  • Fractions Rectangle
    problem
    Favourite

    Fractions Rectangle

    Age
    11 to 14
    Challenge level
    1 out of 3

    The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

  • Number Families
    problem
    Favourite

    Number Families

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many different number families can you find?

  • Odds, Evens and More Evens
    problem
    Favourite

    Odds, Evens and More Evens

    Age
    11 to 14
    Challenge level
    1 out of 3

    Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...