Year 9 Being collaborative

  • Some old-fashioned cinema tickets.
    problem
    Favourite

    Cinema Problem

    Age
    11 to 14
    Challenge level
    1 out of 3

    A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

  • How far does it move?
    problem
    Favourite

    How Far Does It Move?

    Age
    11 to 14
    Challenge level
    1 out of 3

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

  • Reflecting Lines
    problem
    Favourite

    Reflecting Lines

    Age
    11 to 14
    Challenge level
    1 out of 3

    Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

  • Translating Lines
    problem
    Favourite

    Translating Lines

    Age
    11 to 14
    Challenge level
    1 out of 3

    Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

  • 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.

  • Speeding up, slowing down
    problem
    Favourite

    Speeding Up, Slowing Down

    Age
    11 to 14
    Challenge level
    2 out of 3

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

  • The Tower of Hanoi - three wooden poles, with several coloured rings of decreasing sizes on the middle pole.
    problem
    Favourite

    Tower of Hanoi

    Age
    11 to 14
    Challenge level
    2 out of 3

    The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

  • Fill Me Up
    problem
    Favourite

    Fill Me Up

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you sketch graphs to show how the height of water changes in different containers as they are filled?

  • What numbers can we make now?
    problem
    Favourite

    What Numbers Can We Make Now?

    Age
    11 to 14
    Challenge level
    2 out of 3

    Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

  • How Many Miles To Go?
    problem
    Favourite

    How Many Miles to Go?

    Age
    11 to 14
    Challenge level
    3 out of 3

    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?

  • Efficient cutting
    problem
    Favourite

    Efficient Cutting

    Age
    11 to 14
    Challenge level
    3 out of 3

    Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

  • Up and across
    problem
    Favourite

    Up and Across

    Age
    11 to 14
    Challenge level
    3 out of 3

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

  • Diamond Collector
    game
    Favourite

    Diamond Collector

    Age
    11 to 16
    Challenge level
    1 out of 3

    Collect as many diamonds as you can by drawing three straight lines.

  • What's it worth?
    problem
    Favourite

    What's It Worth?

    Age
    11 to 16
    Challenge level
    1 out of 3

    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • Product Sudoku
    problem
    Favourite

    Product Sudoku

    Age
    11 to 16
    Challenge level
    2 out of 3

    The clues for this Sudoku are the product of the numbers in adjacent squares.

  • Ben's Game
    problem
    Favourite

    Ben's Game

    Age
    11 to 16
    Challenge level
    3 out of 3

    Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

  • Generating Triples
    problem
    Favourite

    Generating Triples

    Age
    14 to 16
    Challenge level
    1 out of 3

    Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?