Year 9 Being curious

  • Fruity Totals
    problem

    Fruity totals

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

  • Xavi's T-shirt
    problem

    Xavi's T-shirt

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    How much can you read into a T-shirt?

  • Blue and White
    problem

    Blue and white

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

    Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?

  • Largest product
    problem

    Largest product

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Which set of numbers that add to 100 have the largest product?
  • Special Numbers
    problem

    Special numbers

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

    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?

  • Tilted Squares
    problem

    Tilted squares

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

    It's easy to work out the areas of most squares that we meet, but what if they were tilted?

  • Elevenses
    problem

    Elevenses

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
  • Think of Two Numbers
    problem

    Think of two numbers

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
  • Sending a Parcel
    problem

    Sending a parcel

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

    What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

  • Square coordinates
    problem

    Square coordinates

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

    A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?