Multiplication and Division

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?