Year 9 Being resourceful

How much can you read into a T-shirt?

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?

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.

Engage in a little mathematical detective work to see if you can spot the fakes.

Can you find the connections between linear and quadratic patterns?

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?

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?

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?

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

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

Is there a temperature at which Celsius and Fahrenheit readings are the same?

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

Where should you start, if you want to finish back where you started?

Can you minimise the amount of wood needed to build the roof of my garden shed?

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

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?

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?

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.

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?

Can you find the pairs that represent the same amount of money?

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

How many winning lines can you make in a three-dimensional version of noughts and crosses?

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

Can you do a little mathematical detective work to figure out which number has been wiped out?