![More Less is More](/sites/default/files/styles/medium/public/thumbnails/content-id-15110-icon.png?itok=m_R_gqjG)
problem
More Less is More
In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.
![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.
![Dozens](/sites/default/files/styles/medium/public/thumbnails/content-98-03-six2-icon.png?itok=NzwxPabC)
![Nice or Nasty](/sites/default/files/styles/medium/public/thumbnails/content-id-6605-icon.png?itok=mE0W1xSu)
problem
Nice or Nasty
There are nasty versions of this dice game but we'll start with the nice ones...
![Number Lines in Disguise](/sites/default/files/styles/medium/public/thumbnails/content-id-13452-icon.jpg?itok=w1sVtOJy)
problem
Number Lines in Disguise
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
![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?
![Train Spotters' Paradise](/sites/default/files/styles/medium/public/thumbnails/content-id-9071-icon.png?itok=Uef4zNJR)
article
Train Spotters' Paradise
Dave Hewitt suggests that there might be more to mathematics than looking at numerical results, finding patterns and generalising.
![Have you got it?](/sites/default/files/styles/medium/public/thumbnails/content-02-02-15plus2-icon.gif?itok=ZqujeQid)
![Summing Consecutive Numbers](/sites/default/files/styles/medium/public/thumbnails/content-97-05-six4-icon.png?itok=qriTyABd)
problem
Summing Consecutive Numbers
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
![Picturing Square Numbers](/sites/default/files/styles/medium/public/thumbnails/content-id-2275-icon.png?itok=k5l23Kai)
problem
Picturing Square Numbers
Square numbers can be represented as the sum of consecutive odd
numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
![Number Pyramids](/sites/default/files/styles/medium/public/thumbnails/content-id-2281-icon.png?itok=TJcIsRL4)
problem
Number Pyramids
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
![Mirror, mirror...](/sites/default/files/styles/medium/public/thumbnails/content-id-5458-icon.png?itok=6idwZAya)
![Odds, Evens and More Evens](/sites/default/files/styles/medium/public/thumbnails/content-id-7529-icon.png?itok=9Abf3oXj)
problem
Odds, Evens and More Evens
Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
![Magic Letters](/sites/default/files/styles/medium/public/thumbnails/content-id-7821-icon.png?itok=z67LWboP)
problem
Magic Letters
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
![Strange Bank Account](/sites/default/files/styles/medium/public/thumbnails/content-id-9923-icon.jpg?itok=z5kDCAKZ)
problem
Strange Bank Account
Imagine a very strange bank account where you are only allowed to do two things...
![Beach Huts](/sites/default/files/styles/medium/public/thumbnails/content-id-11008-icon.png?itok=y7UlgTmV)
![More Number Pyramids](/sites/default/files/styles/medium/public/thumbnails/content-id-2282-icon.png?itok=cOeJ9xeH)
problem
More Number Pyramids
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
![Shear Magic](/sites/default/files/styles/medium/public/thumbnails/content-id-2288-icon.jpg?itok=8U8GuayV)
problem
Shear Magic
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
![...on the wall](/sites/default/files/styles/medium/public/thumbnails/content-id-5459-icon.png?itok=3EY3mAJO)
![Searching for mean(ing)](/sites/default/files/styles/medium/public/thumbnails/content-id-6345-icon.png?itok=8iCcjK_N)
problem
Searching for mean(ing)
If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?
![Litov's Mean Value Theorem](/sites/default/files/styles/medium/public/thumbnails/content-id-4838-icon.jpg?itok=b7a6Fnbo)
problem
Litov's Mean Value Theorem
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...