These hands-on activities are ideal for students aged 14-16 to explore in maths clubs.
2 out of 3
Can you solve the clues to find out who's who on the friendship graph?
3 out of 3
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.
3 out of 3
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?
3 out of 3
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?
2 out of 3
Can you find a strategy that ensures you get to take the last biscuit in this game?
2 out of 3
Four friends must cross a bridge. How can they all cross it in just 17 minutes?
3 out of 3
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.
1 out of 3
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?
1 out of 3
Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
1 out of 3
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
1 out of 3
Can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?
1 out of 3
Have a go at creating these images based on circles. What do you notice about the areas of the different sections?
2 out of 3
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
2 out of 3
Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
2 out of 3
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.
2 out of 3
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.
2 out of 3
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?
2 out of 3
There are unexpected discoveries to be made about square numbers...
3 out of 3
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?
3 out of 3
Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?
Eulerian and Hamiltonian circuits are defined with some simple examples and a couple of puzzles to illustrate Hamiltonian circuits.
1 out of 3
Can you rearrange the cards to make a series of correct mathematical statements?
2 out of 3
Can you make sense of the three methods to work out what fraction of the total area is shaded?
