Exploring and noticing

  • Going round in circles
    problem
    Favourite

    Going round in circles

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

  • Shifting Times Tables
    problem
    Favourite

    Shifting times tables

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can you find a way to identify times tables after they have been shifted up or down?

  • problem
    Favourite

    How would you score it?

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

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

  • Attractive rotations
    problem
    Favourite

    Attractive rotations

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    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
    filled star empty star empty star

    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
    filled star empty star empty star

    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
    filled star empty star empty star

    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
    filled star empty star empty star

    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
    filled star empty star empty star

    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
    filled star empty star empty star

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