How are you to find 2007^2 − 2006^2 without a calculator?
Like with many questions in the PAT test once you know what to do it is quite easy! To solve you can use a difference of two squares i.e. (2007-2006)(2007+2006). As the first bracket gives 1 and the second gives 4013 (by arithmetic). Therefore you get 4013*1 = 4013
DD
Related PAT University answers
All answers ▸A matchbox of height h and uniform density stands on its end on a table with coefficient of friction μ. For accelerating it horizontally, at acceleration a, whilst upright, at which height y should the acceleration be applied?
a boat is in a still lake with its anchor up in the boat, it then drops its anchor till it hits the bottom of the lake. Is the water level highest a) when the anchor is in the water. b) when the anchor is in the boat. c) it makes no difference.
Physics PAT 2017 question 20 https://www2.physics.ox.ac.uk/sites/default/files/page/2011/02/14/pat-2017-paper-42578.pdf
How do I evaluate something like 3070^2-3069^2?