Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
There are six numbers written in five different scripts. Can you sort out which is which?
This set of activities focuses on ordering, an important aspect of place value.
Find the values of the nine letters in the sum: FOOT + BALL = GAME
The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
Number problems for inquiring primary learners.
Replace the letters with numbers to make the addition work out correctly. R E A D + T H I S = P A G E
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.
This article develops the idea of 'ten-ness' as an important element of place value.
How many solutions can you find to this sum? Each of the different letters stands for a different 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?
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.
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?
These tasks will help learners develop their understanding of place value, particularly giving them opportunities to express numbers as amounts.
This feature aims to support you in developing children's early number sense and understanding of place value.
Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
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?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Who said that adding couldn't be fun?
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.
Number problems at primary level that require careful consideration.
Can you arrange the digits 1,2,3,4,5,6,7,8,9 into three 3-digit numbers such that their total is close to 1500?
Try out some calculations. Are you surprised by the results?
Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. . . .
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
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.
Use your knowledge of place value to try to win this game. How will you maximise your score?
Replace each letter with a digit to make this addition correct.
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. . . .
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.
This article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.
In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.
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.
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?
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.
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?
Number problems at primary level that may require resilience.
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.
Try out this number trick. What happens with different starting numbers? What do you notice?
Number problems at primary level to work on with others.
Have a go at balancing this equation. Can you find different ways of doing it?
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?
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Where should you start, if you want to finish back where you started?
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?
The Number Jumbler can always work out your chosen symbol. Can you work out how?