More less is more
Factors and multiples game
A game in which players take it in turns to choose a number. Can you block your opponent?
The remainders game
Play this game and see if you can figure out the computer's chosen number.
Consecutive numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Dozens
Can you select the missing digit(s) to find the largest multiple?
Treasure hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
Nice or nasty
Number lines in disguise
Train spotters' paradise
Strange bank account
Imagine a very strange bank account where you are only allowed to do two things...
Beach huts
Parallelogram it
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
Have you got it?
Can you explain the strategy for winning this game with any target?
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
Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
Number pyramids
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Square it
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
Mirror, mirror...
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
More number pyramids
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Shear magic
...on the wall
Searching for mean(ing)
Litov's mean value theorem