Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
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.
This feature aims to support you in developing children's early number sense and understanding of place value.
These tasks will help learners develop their understanding of place value, particularly giving them opportunities to express numbers as amounts.
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 set of activities focuses on ordering, an important aspect of place value.
This article develops the idea of 'ten-ness' as an important element of place value.
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.
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?
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?
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?
There are six numbers written in five different scripts. Can you sort out which is which?
Find the sum of all three-digit numbers each of whose digits is odd.
In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.
Number problems for inquiring primary learners.
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
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. . . .
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"?
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?
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?
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. . . .
Replace the letters with numbers to make the addition work out correctly. R E A D + T H I S = P A G E
Number problems at primary level that require careful consideration.
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.
Replace each letter with a digit to make this addition correct.
Who said that adding couldn't be fun?
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
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.
Try out this number trick. What happens with different starting numbers? What do you notice?
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.
Use your knowledge of place value to try to win this game. How will you maximise your score?
Follow the clues to find the mystery number.
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?
Try out some calculations. Are you surprised by the results?
This article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.
Number problems at primary level to work on with others.
Where should you start, if you want to finish back where you started?
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.
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Dicey Operations for an adult and child. Can you get close to 1000 than your partner?
A three digit number abc is always divisible by 7 when 2a+3b+c is divisible by 7. Why?
The Number Jumbler can always work out your chosen symbol. Can you work out how?
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
Can you work out some different ways to balance this equation?