Year 9 Being resourceful

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

How much can you read into a T-shirt?

Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?

Which set of numbers that add to 100 have the largest product?

What do you notice about the sum of two identical triangular numbers?

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.

Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?

Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

How much of the square is coloured blue? How will the pattern continue?

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?

Is there an efficient way to work out how many factors a large number has?

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?

Can you maximise the area available to a grazing goat?

What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

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?

Can you work out how to produce different shades of pink paint?

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

Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?

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

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

With access to weather station data, what interesting questions can you investigate?

What's special about the area of quadrilaterals drawn in a square?

Just because a problem is impossible doesn't mean it's difficult...

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

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

Nine squares are fitted together to form a rectangle. Can you find its dimensions?