KS4 Maths Club Activities

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

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

    Connect Three

    Age
    11 to 16
    Challenge level

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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?

  • The square top of a red gift box with a bow.
    problem
    Favourite

    Square Number Surprises

    Age
    14 to 16
    Challenge level

    There are unexpected discoveries to be made about square numbers...

  • Two blank square picture frames on a wooden floor.
    problem
    Favourite

    2-Digit Square

    Age
    14 to 16
    Challenge level

    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

    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

    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

    Can you make sense of the three methods to work out what fraction of the total area is shaded?

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