One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?
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.
The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.
Number problems at primary level that may require resilience.
On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?
Can you work out what a ziffle is on the planet Zargon?
56 406 is the product of two consecutive numbers. What are these two numbers?
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
Katie and Will have some balloons. Will's balloon burst at exactly the same size as Katie's at the beginning of a puff. How many puffs had Will done before his balloon burst?
Given the products of diagonally opposite cells - can you complete this Sudoku?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
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.
What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
Given the products of adjacent cells, can you complete this Sudoku?
You'll need to know your number properties to win a game of Statement Snap...
Ben’s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
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...
Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?
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?
48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?
A collection of resources to support work on Factors and Multiples at Secondary level.
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?
Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Can you complete this jigsaw of the multiplication square?
Find the words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
This article for teachers describes how number arrays can be a useful representation for many number concepts.
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
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?
The clues for this Sudoku are the product of the numbers in adjacent squares.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
Follow this recipe for sieving numbers and see what interesting patterns emerge.
Your vessel, the Starship Diophantus, has become damaged in deep space. Can you use your knowledge of times tables and some lightning reflexes to survive?
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?
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?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
How many different rectangles can you make using this set of rods?
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Can you explain the strategy for winning this game with any target?
I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?
I am thinking of three sets of numbers less than 101. They are the red set, the green set and the blue set. Can you find all the numbers in the sets from these clues?
Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
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?
Each clue in this Sudoku is the product of the two numbers in adjacent cells.
Factors and Multiples game for an adult and child. How can you make sure you win this game?