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

These tasks will help learners develop their understanding of place value, particularly giving them opportunities to express numbers as amounts.

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

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

Becky created a number plumber which multiplies by 5 and subtracts 4. What do you notice about the numbers that it produces? Can you explain your findings?

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

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

Number problems for inquiring primary learners.

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

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

Nowadays the calculator is very familiar to many of us. What did people do to save time working out more difficult problems before the calculator existed?

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

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?

Number problems at primary level that require careful consideration.

This feature aims to support you in developing children's early number sense and understanding of place value.

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.

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

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.

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.

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

Suppose you had to begin the never ending task of writing out the natural numbers: 1, 2, 3, 4, 5.... and so on. What would be the 1000th digit you would write down.

More upper primary number sense and place value tasks.

Dicey Operations for an adult and child. Can you get close to 1000 than your partner?

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?

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

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?

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

Number problems at primary level that may require resilience.

The number 3723(in base 10) is written as 123 in another base. What is that base?

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 addition sum uses all ten digits 0, 1, 2...9 exactly once. Find the sum and show that the one you give is the only possibility.

Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

Visitors to Earth from the distant planet of Zub-Zorna were amazed when they found out that when the digits in this multiplication were reversed, the answer was the same! Find a way to explain. . . .

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

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?

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

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

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.

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

The number 27 is special because it is three times the sum of its digits 27 = 3 (2 + 7). Find some two digit numbers that are SEVEN times the sum of their digits (seven-up numbers)?

This challenge is to make up YOUR OWN alphanumeric. Each letter represents a digit and where the same letter appears more than once it must represent the same digit each time.

How many positive integers less than or equal to 4000 can be written down without using the digits 7, 8 or 9?

Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.

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

How many six digit numbers are there which DO NOT contain a 5?

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