Factors and Multiples game for an adult and child. How can you make sure you win this game?

A collection of resources to support work on Factors and Multiples at Secondary level.

A game in which players take it in turns to choose a number. Can you block your opponent?

Given the products of diagonally opposite cells - can you complete this Sudoku?

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

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?

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?"

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.

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

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.

Play this game and see if you can figure out the computer's chosen number.

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

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 three digit number abc is always divisible by 7 when 2a+3b+c is divisible by 7. Why?

The clues for this Sudoku are the product of the numbers in adjacent squares.

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

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?

Can you complete this jigsaw of the multiplication square?

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

A game for 2 or more people. Starting with 100, subratct a number from 1 to 9 from the total. You score for making an odd number, a number ending in 0 or a multiple of 6.

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

Follow this recipe for sieving numbers and see what interesting patterns emerge.

Got It game for an adult and child. How can you play so that you know you will always win?

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

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?

Can you explain the strategy for winning this game with any target?

What is the remainder when 2^2002 is divided by 7? What happens with different powers of 2?

Find the number which has 8 divisors, such that the product of the divisors is 331776.

A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.

When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?

Do you know a quick way to check if a number is a multiple of two? How about three, four or six?

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

How many integers between 1 and 1200 are NOT multiples of any of the numbers 2, 3 or 5?

The flow chart requires two numbers, M and N. Select several values for M and try to establish what the flow chart does.

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

The number 8888...88M9999...99 is divisible by 7 and it starts with the digit 8 repeated 50 times and ends with the digit 9 repeated 50 times. What is the value of the digit M?

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

What is the value of the digit A in the sum below: [3(230 + A)]^2 = 49280A

"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

A number N is divisible by 10, 90, 98 and 882 but it is NOT divisible by 50 or 270 or 686 or 1764. It is also known that N is a factor of 9261000. What is N?

Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.

Can you find any perfect numbers? Read this article to find out more...

Find the highest power of 11 that will divide into 1000! exactly.

Does a graph of the triangular numbers cross a graph of the six times table? If so, where? Will a graph of the square numbers cross the times table too?