What two-digit numbers can you make with these two dice? What can't you make?

Have a go at balancing this equation. Can you find different ways of doing it?

Can you work out some different ways to balance this equation?

Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?

What happens when you round these three-digit numbers to the nearest 100?

Can you replace the letters with numbers? Is there only one solution in each case?

This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

This article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Number problems at primary level that require careful consideration.

Can you find the chosen number from the grid using the clues?

Investigate the different ways these aliens count in this challenge. You could start by thinking about how each of them would write our number 7.

The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?

Can you substitute numbers for the letters in these sums?

What happens when you round these numbers to the nearest whole number?

Use your knowledge of place value to try to win this game. How will you maximise your score?

Number problems at primary level to work on with others.

Number problems at primary level that may require resilience.

More upper primary number sense and place value tasks.

One of the key ideas associated with place value is that the position of a digit affects its value. These activities support children in understanding this idea.

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

Find the sum of all three-digit numbers each of whose digits is odd.

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

This article for primary teachers expands on the key ideas which underpin early number sense and place value, and suggests activities to support learners as they get to grips with these ideas.

Alf describes how the Gattegno chart helped a class of 7-9 year olds gain an awareness of place value and of the inverse relationship between multiplication and division.

In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.

This article develops the idea of 'ten-ness' as an important element of place value.

These tasks will help children understand the 'ten-ness' of ten, a fundamental part of place value.

A school song book contains 700 songs. The numbers of the songs are displayed by combining special small single-digit cards. What is the minimum number of small cards that is needed?

The Number Jumbler can always work out your chosen symbol. Can you work out how?

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

This article, written for teachers, looks at the different kinds of recordings encountered in Primary Mathematics lessons and the importance of not jumping to conclusions!

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

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

This is a game for two players. What must you subtract to remove the rolled digit from your number? The first to zero wins!

Try out some calculations. Are you surprised by the results?

I am less than 25. My ones digit is twice my tens digit. My digits add up to an even number.

There are six numbers written in five different scripts. Can you sort out which is which?

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

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

Marion Bond recommends that children should be allowed to use 'apparatus', so that they can physically handle the numbers involved in their calculations, for longer, or across a wider ability band,. . . .

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.