Being Resourceful - Secondary Students

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

Can you find a way to identify times tables after they have been shifted up or down?

Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

Can you find the values at the vertices when you know the values on the edges?

Dotty Six is a simple dice game that you can adapt in many ways.

Observe symmetries and engage the power of substitution to solve complicated equations.

How many solutions can you find to this sum? Each of the different letters stands for a different number.

These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

One day five small animals in my garden were going to have a sports day. They decided to have a swimming race, a running race, a high jump and a long jump.

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

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?

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Can you select the missing digit(s) to find the largest multiple?

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

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

Use the differences to find the solution to this Sudoku.

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?

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

How much can you read into a t-shirt?

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

What can you see? What do you notice? What questions can you ask?

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

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?

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