![Consecutive Numbers](/sites/default/files/styles/medium/public/thumbnails/content-97-11-bbprob2-icon.jpg?itok=C_UREbsv)
problem
Consecutive Numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
![Can you Make 100?](/sites/default/files/styles/medium/public/thumbnails/content-id-11819-icon.jpg?itok=TRBLygmu)
problem
Can you Make 100?
How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?
![Where can we visit?](/sites/default/files/styles/medium/public/thumbnails/content-00-12-six3-icon.jpg?itok=fnQnUDU6)
problem
Where can we visit?
Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?
![Two and Two](/sites/default/files/styles/medium/public/thumbnails/content-01-06-six2-icon.png?itok=r2AsNoHS)
problem
Two and Two
How many solutions can you find to this sum? Each of the different letters stands for a different number.
![Number Daisy](/sites/default/files/styles/medium/public/thumbnails/content-01-07-six1-icon.jpg?itok=MsQGFTpw)
problem
Number Daisy
Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?
![The Root of the Problem](/sites/default/files/styles/medium/public/thumbnails/content-03-03-six2-icon.jpg?itok=sC256H-P)
![Remainders](/sites/default/files/styles/medium/public/thumbnails/content-96-11-six4-icon.png?itok=5cZcyZQE)
problem
Remainders
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
![Largest product](/sites/default/files/styles/medium/public/thumbnails/content-96-11-six6-icon.png?itok=visW6w7i)
![Cinema Problem](/sites/default/files/styles/medium/public/thumbnails/content-03-10-six1-icon.gif?itok=-Hhp0rJ9)
problem
Cinema Problem
A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.
![Consecutive Seven](/sites/default/files/styles/medium/public/thumbnails/content-id-2661-icon.png?itok=mnxknoG7)
problem
Consecutive Seven
Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?
![Method in multiplying madness?](/sites/default/files/styles/medium/public/thumbnails/content-id-5612-icon.png?itok=ZHpntMLH)
problem
Method in multiplying madness?
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
![Going round in circles](/sites/default/files/styles/medium/public/thumbnails/content-id-6651-icon.jpg?itok=q7CGjhH3)
problem
Going round in circles
Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?
![missing multipliers](/sites/default/files/styles/medium/public/thumbnails/content-id-7382-icon.jpg?itok=6uMY2Jib)
problem
Missing Multipliers
What is the smallest number of answers you need to reveal in order to work out the missing headers?
![Cryptarithms](/sites/default/files/styles/medium/public/thumbnails/content-id-11107-icon.jpg?itok=PZIqV5yE)
![Impossibilities](/sites/default/files/styles/medium/public/thumbnails/content-id-11109-icon.png?itok=rtI1nV8G)
![Overlaps](/sites/default/files/styles/medium/public/thumbnails/content-id-11112-icon.png?itok=qda5H61D)