Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
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?
Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?
Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?
Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?
Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?
What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?
Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?
Can you create a Latin Square from multiples of a six digit number?
Can you explain the strategy for winning this game with any target?
