Powers and roots
-
-
problemPower mad!
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
-
problemMagic potting sheds
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
-
problemMore magic potting sheds
The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it? -
problemPower countdown
In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.
-
-
-
problemArchimedes and numerical roots
The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots? -
problemNumber rules - OK
Can you produce convincing arguments that a selection of statements about numbers are true?
-
problemPerfectly square
The sums of the squares of three related numbers is also a perfect square - can you explain why?