1 out of 3
How much can you read into a T-shirt?
1 out of 3
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?
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.
1 out of 3
Engage in a little mathematical detective work to see if you can spot the fakes.
1 out of 3
Can you find the connections between linear and quadratic patterns?
2 out of 3
Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?
2 out of 3
Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
2 out of 3
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?
2 out of 3
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
2 out of 3
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
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.
2 out of 3
Is there a temperature at which Celsius and Fahrenheit readings are the same?
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.
2 out of 3
Where should you start, if you want to finish back where you started?
2 out of 3
Can you minimise the amount of wood needed to build the roof of my garden shed?
3 out of 3
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
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?
3 out of 3
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
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.
3 out of 3
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
3 out of 3
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
1 out of 3
Can you find the pairs that represent the same amount of money?
1 out of 3
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
2 out of 3
Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?
2 out of 3
How many winning lines can you make in a three-dimensional version of noughts and crosses?
2 out of 3
The clues for this Sudoku are the product of the numbers in adjacent squares.
2 out of 3
Can you do a little mathematical detective work to figure out which number has been wiped out?
