KS4 Maths Club Activities

These hands-on activities are ideal for students aged 14-16 to explore in maths clubs.

  • Product Sudoku
    problem
    Favourite

    Product Sudoku

    Age
    11 to 16
    Challenge level
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    The clues for this Sudoku are the product of the numbers in adjacent squares.

  • A Connect Four game with red and yellow counters placed.
    problem
    Favourite

    Connect Three

    Age
    11 to 16
    Challenge level
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    In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

  • Who's who?
    problem

    Who's Who?

    Age
    11 to 16
    Challenge level
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    Can you solve the clues to find out who's who on the friendship graph?

  • Wooden cubes arranged in rows of one, three and five.
    game

    One, Three, Five, Seven

    Age
    11 to 16
    Challenge level
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    A game for 2 players. Set out 16 counters in rows of 1,3,5 and 7. Players take turns to remove any number of counters from a row. The player left with the last counter looses.

  • Times right
    problem

    Times Right

    Age
    11 to 16
    Challenge level
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    Using the digits 1, 2, 3, 4, 5, 6, 7 and 8, mulitply a two two digit numbers are multiplied to give a four digit number, so that the expression is correct. How many different solutions can you find?

  • Nine Colours
    problem
    Favourite

    Nine Colours

    Age
    11 to 16
    Challenge level
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    Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

  • Last Biscuit
    game

    Last Biscuit

    Age
    11 to 18
    Challenge level
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    Can you find a strategy that ensures you get to take the last biscuit in this game?

  • crossing the bridge
    problem
    Favourite

    Crossing the Bridge

    Age
    11 to 18
    Challenge level
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    Four friends must cross a bridge. How can they all cross it in just 17 minutes?

  • Four coloured wooden cubes balanced precariously to make a tower.
    problem

    Instant Insanity

    Age
    11 to 18
    Challenge level
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    Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated.

  • How old am I?
    problem
    Favourite

    How Old Am I?

    Age
    14 to 16
    Challenge level
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    In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

  • Pair Products
    problem
    Favourite

    Pair Products

    Age
    14 to 16
    Challenge level
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    Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?

  • Warmsnug Double Glazing
    problem
    Favourite

    Warmsnug Double Glazing

    Age
    14 to 16
    Challenge level
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    How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

  • Equal Equilateral Triangles
    problem

    Equal Equilateral Triangles

    Age
    14 to 16
    Challenge level
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    Can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?
  • Curvy areas
    problem
    Favourite

    Curvy Areas

    Age
    14 to 16
    Challenge level
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    Have a go at creating these images based on circles. What do you notice about the areas of the different sections?

  • Five green equilateral triangles, arranged to almost make a complete pentagon.
    problem
    Favourite

    Doesn't Add Up

    Age
    14 to 16
    Challenge level
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    In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

  • What's Possible?
    problem
    Favourite

    What's Possible?

    Age
    14 to 16
    Challenge level
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    Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?

  • Why 24?
    problem
    Favourite

    Why 24?

    Age
    14 to 16
    Challenge level
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    Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.

  • Pick's Theorem
    problem
    Favourite

    Pick's Theorem

    Age
    14 to 16
    Challenge level
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    Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.

  • Painted Cube
    problem
    Favourite

    Painted Cube

    Age
    14 to 16
    Challenge level
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    Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?

  • Square Number Surprises
    problem
    Favourite

    Square Number Surprises

    Age
    14 to 16
    Challenge level
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    There are unexpected discoveries to be made about square numbers...

  • 2-Digit Square
    problem
    Favourite

    2-digit Square

    Age
    14 to 16
    Challenge level
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    A 2-digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?

  • Compare Areas
    problem
    Favourite

    Compare Areas

    Age
    14 to 16
    Challenge level
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    Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?

  • Iffy logic
    problem
    Favourite

    Iffy Logic

    Age
    14 to 18
    Challenge level
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    Can you rearrange the cards to make a series of correct mathematical statements?

  • Kite in a Square
    problem
    Favourite

    Kite in a Square

    Age
    14 to 18
    Challenge level
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    Can you make sense of the three methods to work out what fraction of the total area is shaded?