Year 9 Being resilient

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

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

How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?

By selecting digits for an addition grid, what targets can you make?

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?

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

Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

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

Can you find ways to put numbers in the overlaps so the rings have equal totals?

Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?

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

Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?

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

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?

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

There are lots of different methods to find out what the shapes are worth - how many can you find?

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 make sense of these three proofs of Pythagoras' Theorem?

Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?

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?

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

Can you make sense of information about trees in order to maximise the profits of a forestry company?

Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?

Can you find an efficent way to mix paints in any ratio?