If you have only four weights, where could you place them in order to balance this equaliser?
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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.
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?
Does this 'trick' for calculating multiples of 11 always work? Why or why not?
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?
You can make a calculator count for you by any number you choose. You can count by ones to reach 24. You can count by twos to reach 24. What else can you count by to reach 24?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
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.
Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
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?
How will you work out which numbers have been used to create this multiplication square?
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Can you complete this jigsaw of the multiplication square?
What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
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?
If there is a ring of six chairs and thirty children must either sit on a chair or stand behind one, how many children will be behind each chair?
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?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?
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?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Use the interactivities to complete these Venn diagrams.
Can you place the numbers from 1 to 10 in the grid?
This activity focuses on doubling multiples of five.
56 406 is the product of two consecutive numbers. What are these two numbers?
Can you work out what a ziffle is on the planet Zargon?
Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Can you make square numbers by adding two prime numbers together?
An investigation that gives you the opportunity to make and justify predictions.
In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
Help share out the biscuits the children have made.
Play this game and see if you can figure out the computer's chosen number.
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.
Can you find different ways of creating paths using these paving slabs?
In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?
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.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Can you sort numbers into sets? Can you give each set a name?
Number problems at primary level to work on with others.
Number problems at primary level that may require resilience.