Dotty Six is a simple dice game that you can adapt in many ways.
Try out some calculations. Are you surprised by the results?
Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?
Can you find different ways of creating paths using these paving slabs?
How would you count the number of fingers in these pictures?
What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once.
Ann thought of 5 numbers and told Bob all the sums that could be made by adding the numbers in pairs. The list of sums is 6, 7, 8, 8, 9, 9, 10,10, 11, 12. Help Bob to find out which numbers Ann was. . . .
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?
Try out this number trick. What happens with different starting numbers? What do you notice?
When I type a sequence of letters my calculator gives the product of all the numbers in the corresponding memories. What numbers should I store so that when I type 'ONE' it returns 1, and when I type. . . .
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
Find the sum of all three-digit numbers each of whose digits is odd.
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 at primary level that require careful consideration.
Find the numbers in this sum
In the following sum the letters A, B, C, D, E and F stand for six distinct digits. Find all the ways of replacing the letters with digits so that the arithmetic is correct.
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?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
There are exactly 3 ways to add 4 odd numbers to get 10. Find all the ways of adding 8 odd numbers to get 20. To be sure of getting all the solutions you will need to be systematic. What about. . . .
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.
Use your logical reasoning to work out how many cows and how many sheep there are in each field.
Bernard Bagnall recommends some primary school problems which use numbers from the environment around us, from clocks to house numbers.
Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some. . . .
Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?
How is it possible to predict the card?
Replace each letter with a digit to make this addition correct.
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. . . .
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.
Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.
Using the 8 dominoes make a square where each of the columns and rows adds up to 8
Find the values of the nine letters in the sum: FOOT + BALL = GAME
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
This Sudoku requires you to do some working backwards before working forwards.
If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?
This article explains how to make your own magic square to mark a special occasion with the special date of your choice on the top line.
A combination mechanism for a safe comprises thirty-two tumblers numbered from one to thirty-two in such a way that the numbers in each wheel total 132... Could you open the safe?
Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
I was looking at the number plate of a car parked outside. Using my special code S208VBJ adds to 65. Can you crack my code and use it to find out what both of these number plates add up to?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
If you wrote all the possible four digit numbers made by using each of the digits 2, 4, 5, 7 once, what would they add up to?
A number game requiring a strategy.
Investigate what happens when you add house numbers along a street in different ways.
I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?
Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?
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?
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!