For 19 if you let the radius be r, you can form an equation using the right-angled triangle by Pythagoras’ theorem. You get (2 - r)^2 + 1^2 = (1 + r)^2 so 4 - 4r + r^2 + 1 = 1 + 2r + r^2, so 6r = 3 giving r = 2/3
Hey there, your videos have been a great help! I’m sitting the senior UKMT for the first time on Tuesday with no experience of it and very little time to prepare, any overall advice?
Focus on the first 15, thats where you'll pick up most of your marks. Work out what you think the answer is, then see if it's there. In geometry problems, look for triangles so you can use pythagoras or trig. The angles you'll need for trig will only be 30, 45, 60, 120, etc... Form an equation if you don't know what to do with a question
@@bridgewithsteve Thanks for the reply! General advice like that is exactly what I’m looking for. We haven’t even covered trig identities in school, but I’ll memorise the triangles by Tuesday. And I’ll also practice a little with forming equations, thanks again!
For 19 if you let the radius be r, you can form an equation using the right-angled triangle by Pythagoras’ theorem. You get (2 - r)^2 + 1^2 = (1 + r)^2 so 4 - 4r + r^2 + 1 = 1 + 2r + r^2, so 6r = 3 giving r = 2/3
steve do 2013, 2012, 2011 and 2010 pls. your vids bang
Hey there, your videos have been a great help! I’m sitting the senior UKMT for the first time on Tuesday with no experience of it and very little time to prepare, any overall advice?
Focus on the first 15, thats where you'll pick up most of your marks.
Work out what you think the answer is, then see if it's there.
In geometry problems, look for triangles so you can use pythagoras or trig. The angles you'll need for trig will only be 30, 45, 60, 120, etc...
Form an equation if you don't know what to do with a question
@@bridgewithsteve Thanks for the reply! General advice like that is exactly what I’m looking for. We haven’t even covered trig identities in school, but I’ll memorise the triangles by Tuesday. And I’ll also practice a little with forming equations, thanks again!