Conjecturing and generalising
-
-
problemFavouriteWhich Scripts?
There are six numbers written in five different scripts. Can you sort out which is which?
-
problemFavouriteZias and Zepts
On the planet Vuv there are two sorts of creatures. The Zias have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zias and how many Zepts were there?
-
problemFavouriteAbundant Numbers
48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?
-
problemFavouriteFlashing Lights
Norrie sees two lights flash at the same time. How many times do they flash together during a whole minute?
-
problemFavouriteSquare Corners
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
-
problemFavouriteWhich Is Quicker?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
-
problemFavouriteOdd Squares
Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?
-
problemFavouriteUp and Down Staircases
One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?
-
problemFavouriteCarrying Cards
These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?