The puzzle can be solved by finding the values of the unknown digits (all indicated by asterisks) in the squares of the $9\times9$ grid.
Got It game for an adult and child. How can you play so that you know you will always win?
Can you explain the strategy for winning this game with any target?
A student in a maths class was trying to get some information from her teacher. She was given some clues and then the teacher ended by saying, "Well, how old are they?"
The clues for this Sudoku are the product of the numbers in adjacent squares.
Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?
Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
When the number x 1 x x x is multiplied by 417 this gives the answer 9 x x x 0 5 7. Find the missing digits, each of which is represented by an "x" .
Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.
A game in which players take it in turns to choose a number. Can you block your opponent?
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
Play this game and see if you can figure out the computer's chosen number.
Given the products of diagonally opposite cells - can you complete this Sudoku?
A collection of resources to support work on Factors and Multiples at Secondary level.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
How many zeros are there at the end of the number which is the product of first hundred positive integers?
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. . . .
Great Granddad is very proud of his telegram from the Queen congratulating him on his hundredth birthday and he has friends who are even older than he is... When was he born?
Given the products of adjacent cells, can you complete this Sudoku?
A three digit number abc is always divisible by 7 when 2a+3b+c is divisible by 7. Why?
Can you find a relationship between the number of dots on the circle and the number of steps that will ensure that all points are hit?
You are given the Lowest Common Multiples of sets of digits. Find the digits and then solve the Sudoku.
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
Factors and Multiples game for an adult and child. How can you make sure you win this game?
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
Using the digits 1, 2, 3, 4, 5, 6, 7 and 8, mulitply a two two digit numbers are multiplied to give a four digit number, so that the expression is correct. How many different solutions can you find?
I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?
An environment which simulates working with Cuisenaire rods.
Find some examples of pairs of numbers such that their sum is a factor of their product. eg. 4 + 12 = 16 and 4 × 12 = 48 and 16 is a factor of 48.
Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?
List any 3 numbers. It is always possible to find a subset of adjacent numbers that add up to a multiple of 3. Can you explain why and prove it?
In how many ways can the number 1 000 000 be expressed as the product of three positive integers?
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
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.
How many numbers less than 1000 are NOT divisible by either: a) 2 or 5; or b) 2, 5 or 7?
Consider numbers of the form un = 1! + 2! + 3! +...+n!. How many such numbers are perfect squares?
Each letter represents a different positive digit AHHAAH / JOKE = HA What are the values of each of the letters?
Find the highest power of 11 that will divide into 1000! exactly.
Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?
What is the value of the digit A in the sum below: [3(230 + A)]^2 = 49280A
What is the largest number which, when divided into 1905, 2587, 3951, 7020 and 8725 in turn, leaves the same remainder each time?
Do you know a quick way to check if a number is a multiple of two? How about three, four or six?
Can you work out what size grid you need to read our secret message?
Find the number which has 8 divisors, such that the product of the divisors is 331776.
Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
Can you make lines of Cuisenaire rods that differ by 1?