Being Curious - Algebra

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?

When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?

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

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

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

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?

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

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