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.
Dicey operations
In these addition and subtraction games, you'll need to think strategically to get closest to the target.
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?
More less is more
More Dicey operations
In these multiplication and division games, you'll need to think strategically to get closest to the target.
Number lines in disguise
Train spotters' paradise
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...
Explore the effect of reflecting in two parallel mirror lines.
Odds, evens and more evens
Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
Changing areas, changing perimeters
How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?
Magic letters
Perimeter possibilities
I'm thinking of a rectangle with an area of 24. What could its perimeter be?
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.
Climbing complexity
In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?
More number pyramids
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Shear magic
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
...on the wall
Explore the effect of reflecting in two intersecting mirror lines.
Searching for mean(ing)
Litov's mean value theorem