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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 1-5 in the V shape so that both 'arms' have the same total?
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
This challenge extends the Plants investigation so now four or more children are involved.
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?
Can you replace the letters with numbers? Is there only one solution in each case?
This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
Follow the clues to find the mystery number.
Can you order the digits from 1-6 to make a number which is divisible by 6 so when the last digit is removed it becomes a 5-figure number divisible by 5, and so on?
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?
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?
Can you find the chosen number from the grid using the clues?
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?
An investigation that gives you the opportunity to make and justify predictions.
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Find out what a "fault-free" rectangle is and try to make some of your own.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?
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?
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....?
These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?
How many different journeys could you make if you were going to visit four stations in this network? How about if there were five stations? Can you predict the number of journeys for seven stations?
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
I was in my car when I noticed a line of four cars on the lane next to me with number plates starting and ending with J, K, L and M. What order were they in?
Systematically explore the range of symmetric designs that can be created by shading parts of the motif below. Use normal square lattice paper to record your results.
A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?
How many triangles can you make on the 3 by 3 pegboard?
Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?
Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?
How can you put five cereal packets together to make different shapes if you must put them face-to-face?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?
Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
The Vikings communicated in writing by making simple scratches on wood or stones called runes. Can you work out how their code works using the table of the alphabet?
Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?
Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?
Hover your mouse over the counters to see which ones will be removed. Click to remover them. The winner is the last one to remove a counter. How you can make sure you win?
Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?
An activity making various patterns with 2 x 1 rectangular tiles.
Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.
Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?
Use these head, body and leg pieces to make Robot Monsters which are different heights.
Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?