Try out this number trick. What happens with different starting numbers? What do you notice?

What do you see as you watch this video? Can you create a similar video for the number 12?

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

Can you find any two-digit numbers that satisfy all of these statements?

Find as many different ways of representing this number of dots as you can.

Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?

This task focuses on distances travelled by the asteroid Florence. It's an opportunity to work with very large numbers.

How would you put these journey lengths in order? Give a bit of a place value challenge with subtractions set out not as a calculation.

This task gives an opportunity to perform some subtractions in a slightly realistic situation.

How do you know whether you will reach these numbers when you count in steps of six from zero?

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Four strategy dice games to consolidate pupils' understanding of rounding.

How could you estimate the number of pencils/pens in these pictures?

Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

This activity involves rounding four-digit numbers to the nearest thousand.

This is a game in which your counters move in a spiral round the snail's shell. It is about understanding tens and units.

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

An activity centred around observations of dots and how we visualise number arrangement patterns.

Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

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

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

A task which depends on members of the group noticing the needs of others and responding.

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

There are nasty versions of this dice game but we'll start with the nice ones...

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Play this game and see if you can figure out the computer's chosen number.

You have a set of the digits from 0 – 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

You have two sets of the digits 0 – 9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

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

The picture shows a lighthouse and many underwater creatures. If you know the markings on the lighthouse are 1m apart, can you work out the distances between some of the different creatures?

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

How many trains can you make which are the same length as Matt's, using rods that are identical?

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

Use these head, body and leg pieces to make Robot Monsters which are different heights.

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?