![En-counters](/sites/default/files/styles/medium/public/thumbnails/content-id-6981-icon.jpg?itok=mrLghLox)
problem
En-counters
This task requires learners to explain and help others, asking and answering questions.
![Our Numbers](/sites/default/files/styles/medium/public/thumbnails/content-id-7006-icon.jpg?itok=Y8L_7Kgp)
problem
Our Numbers
These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?
![Sitting round the party tables](/sites/default/files/styles/medium/public/thumbnails/content-id-7228-icon.gif?itok=z3fzVHd3)
problem
Sitting round the party tables
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
![The add and take-away path](/sites/default/files/styles/medium/public/thumbnails/content-id-7281-icon.jpg?itok=BFClBmAp)
problem
The add and take-away path
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?
![Largest Even](/sites/default/files/styles/medium/public/thumbnails/content-id-7431-icon.png?itok=mwErhTYA)
problem
Largest Even
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
![Poly Plug Rectangles](/sites/default/files/styles/medium/public/thumbnails/content-id-7511-icon.png?itok=jGv2RY6A)
problem
Poly Plug Rectangles
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
![What was in the Box?](/sites/default/files/styles/medium/public/thumbnails/content-id-7819-icon.png?itok=p0qR17mk)
problem
What was in the Box?
This big box adds something to any number that goes into it. If you know the numbers that come out, what addition might be going on in the box?
![Two numbers under the microscope](/sites/default/files/styles/medium/public/thumbnails/content-id-8059-icon.gif?itok=srPls4bz)
problem
Two numbers under the microscope
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
![Two Spinners](/sites/default/files/styles/medium/public/thumbnails/content-id-10391-icon.png?itok=Wx5wK7wd)
![Round the Two Dice](/sites/default/files/styles/medium/public/thumbnails/content-id-10435-icon.png?itok=Ge508sBQ)
![Unit Differences](/sites/default/files/styles/medium/public/thumbnails/content-id-10480-icon.jpg?itok=14lZsuMf)
problem
Unit Differences
This challenge is about finding the difference between numbers which have the same tens digit.
![Five Steps to 50](/sites/default/files/styles/medium/public/thumbnails/content-id-10586-icon.jpg?itok=bm_mSNot)
problem
Five Steps to 50
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
![Double or Halve?](/sites/default/files/styles/medium/public/thumbnails/content-id-10654-icon.png?itok=Uz7E73ZF)
problem
Double or Halve?
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
![Circles, Circles](/sites/default/files/styles/medium/public/thumbnails/content-id-10829-icon.jpg?itok=nHWb-0Ti)
problem
Circles, Circles
Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
![Dicey Addition](/sites/default/files/styles/medium/public/thumbnails/content-id-11863-icon.png?itok=JxXPSevO)
![Always, Sometimes or Never?](/sites/default/files/styles/medium/public/thumbnails/content-id-12670-icon.png?itok=UGVEdfeW)
problem
Always, Sometimes or Never?
Are these statements relating to odd and even numbers always true, sometimes true or never true?
![Digit Addition](/sites/default/files/styles/medium/public/thumbnails/content-id-14312-icon.png?itok=5rMz7AQJ)
problem
Digit Addition
Try out this number trick. What happens with different starting numbers? What do you notice?
![I'm Eight](/sites/default/files/styles/medium/public/thumbnails/content-98-11-bbprob2-icon.png?itok=y1X7RsxW)
![What's in a Name?](/sites/default/files/styles/medium/public/thumbnails/content-99-11-penta1-icon.gif?itok=81VflGfg)
problem
What's in a Name?
What do you notice about these squares of numbers? What is the same? What is different?
![Break it up!](/sites/default/files/styles/medium/public/thumbnails/content-id-2284-icon.png?itok=W-LLpaGb)
problem
Break it up!
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?
![Clapping Times](/sites/default/files/styles/medium/public/thumbnails/content-id-5482-icon.png?itok=SYS0qBQZ)
problem
Clapping Times
If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?
![Growing Garlic](/sites/default/files/styles/medium/public/thumbnails/content-id-5579-icon.png?itok=3gT7Jloo)
problem
Growing Garlic
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
![Strike it Out](/sites/default/files/styles/medium/public/thumbnails/content-id-6589-icon.gif?itok=PtQ_v8tW)
problem
Strike it Out
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
![I Like ...](/sites/default/files/styles/medium/public/thumbnails/content-id-6962-icon.gif?itok=iN64Angn)
problem
I Like ...
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
![Light the Lights](/sites/default/files/styles/medium/public/thumbnails/content-id-7044-icon.gif?itok=Sei4jF0i)
problem
Light the Lights
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
![How Odd](/sites/default/files/styles/medium/public/thumbnails/content-id-7190-icon.gif?itok=ijrBovS8)
problem
How Odd
This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?
![Ring a Ring of Numbers](/sites/default/files/styles/medium/public/thumbnails/content-id-2782-icon.png?itok=90NvaFQb)
problem
Ring a Ring of Numbers
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
![Odd times Even](/sites/default/files/styles/medium/public/thumbnails/content-id-8062-icon.png?itok=AuQOnvzI)
problem
Odd times Even
This problem looks at how one example of your choice can show something about the general structure of multiplication.
![Lots of Lollies](/sites/default/files/styles/medium/public/thumbnails/content-id-2360-icon.png?itok=DhUS5VXQ)
problem
Lots of Lollies
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?
![More Numbers in the Ring](/sites/default/files/styles/medium/public/thumbnails/content-id-2783-icon.png?itok=E-Mrwln-)
problem
More Numbers in the Ring
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
![Stop the Clock](/sites/default/files/styles/medium/public/thumbnails/content-id-6071-icon.jpg?itok=2KH6HDW2)
problem
Stop the Clock
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?