Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?
Follow the clues to find the mystery number.
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.
Can you find the chosen number from the grid using the clues?
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Try out the lottery that is played in a far-away land. What is the chance of winning?
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
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?
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.
Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.
Can you use the information to find out which cards I have used?
Use the clues to colour each square.
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
This challenge involves calculating the number of candles needed on birthday cakes. It is an opportunity to explore numbers and discover new things.
Can you replace the letters with numbers? Is there only one solution in each case?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
You have 4 red and 5 blue counters. How many ways can they be placed on a 3 by 3 grid so that all the rows columns and diagonals have an even number of red counters?
Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Number problems at primary level that require careful consideration.
Can you find all the different ways of lining up these Cuisenaire rods?
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
There is a long tradition of creating mazes throughout history and across the world. This article gives details of mazes you can visit and those that you can tackle on paper.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
What two-digit numbers can you make with these two dice? What can't you make?
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Can you see who the gold medal winner is? What about the silver medal winner and the bronze medal winner?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
This task encourages you to investigate the number of edging pieces and panes in different sized windows.
Can you work out some different ways to balance this equation?
Have a go at balancing this equation. Can you find different ways of doing it?
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?