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

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?

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?

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.

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

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?

Replace the letters with numbers to make the addition work out correctly. R E A D + T H I S = P A G E

Find the values of the nine letters in the sum: FOOT + BALL = GAME

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

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?

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.

Number problems at primary level that require careful consideration.

Number problems for inquiring primary learners.

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.

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

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

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

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

The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?

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 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.

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.

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

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

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

Pick the number of times a week that you eat chocolate. This number must be more than one but less than ten. Multiply this number by 2. Add 5 (for Sunday). Multiply by 50... Can you explain why it. . . .

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?

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

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

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

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?

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

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

A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.

Where should you start, if you want to finish back where you started?

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

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

Number problems at primary level to work on with others.

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.

Number problems at primary level that may require resilience.

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

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

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

Think of any three-digit number. Repeat the digits. The 6-digit number that you end up with is divisible by 91. Is this a coincidence?