problem
Favourite
Growing Garlic
Age
5 to 11
Challenge level
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
problem
Favourite
Button-Up
Age
5 to 7
Challenge level
My coat has three buttons. How many ways can you find to do up all the buttons?
problem
Favourite
The Amazing Splitting Plant
Age
5 to 7
Challenge level
Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
problem
Favourite
The Brown Family
Age
5 to 7
Challenge level
Use the information about Sally and her brother to find out how many children there are in the Brown family.
problem
Favourite
Lots of Lollies
Age
5 to 7
Challenge level
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?
problem
Favourite
Stop the Clock
Age
5 to 7
Challenge level
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
problem
Favourite
Odd times Even
Age
5 to 7
Challenge level
This problem looks at how one example of your choice can show something about the general structure of multiplication.
problem
Jigsaw Pieces
Age
7 to 11
Challenge level
How will you go about finding all the jigsaw pieces that have one peg and one hole?
problem
Snake Coils
Age
7 to 11
Challenge level
This challenge asks you to imagine a snake coiling on itself.
problem
Making Pathways
Age
7 to 11
Challenge level
Can you find different ways of creating paths using these paving slabs?
problem
Diagonal in a Spiral
Age
7 to 11
Challenge level
Investigate the totals you get when adding numbers in threes on the diagonal of this pattern.
problem
Favourite
Button-Up Some More
Age
7 to 11
Challenge level
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
problem
Walking the squares
Age
7 to 11
Challenge level
Find a route from the outside to the inside of this square, stepping on as many tiles as possible.
problem
Favourite
Six Ten Total
Age
7 to 11
Challenge level
This challenge combines addition, multiplication, perseverance and even proof.
problem
Favourite
Six Numbered Cubes
Age
7 to 11
Challenge level
This task combines spatial awareness with addition and multiplication.
problem
Display Boards
Age
7 to 11
Challenge level
Design an arrangement of display boards in the school hall which fits the requirements of different people.
problem
Open Boxes
Age
7 to 11
Challenge level
Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?
problem
Centred Squares
Age
7 to 11
Challenge level
This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
problem
Dice Stairs
Age
7 to 11
Challenge level
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
problem
Favourite
Curious number
Age
7 to 11
Challenge level
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?
problem
Favourite
Inky Cube
Age
7 to 14
Challenge level
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?
problem
Favourite
So it's times!
Age
7 to 14
Challenge level
How will you decide which way of flipping over and/or turning the grid will give you the highest total?
problem
Building with rods
Age
7 to 11
Challenge level
In how many ways can you stack these rods, following the rules?
problem
Favourite
Dice in a Corner
Age
7 to 11
Challenge level
How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
problem
Make those bracelets
Age
7 to 11
Challenge level
Find all the ways of arranging the beads on this bracelet using just two colours.
problem
Favourite
The Dice Train
Age
7 to 11
Challenge level
This dice train has been made using specific rules. How many different trains can you make?
problem
Cover the tray
Age
7 to 11
Challenge level
These practical challenges are all about making a 'tray' and covering it with paper.
problem
Favourite
Ribbon Squares
Age
7 to 11
Challenge level
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
problem
Dart Target
Age
7 to 11
Challenge level
This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.
problem
Painting Possibilities
Age
7 to 11
Challenge level
This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes and the small cubes that would fit inside each one.
problem
Open Squares
Age
7 to 11
Challenge level
This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?