You are Here: Home >< Maths

# STEP Maths I,II,III 1987 Solutions

1. Just started looking at some of these and not really up to standard. Can anyone just explain on STEP I question 2 the first part, why the angle is pi/n ?
2. (Original post by thestudent)
Just started looking at some of these and not really up to standard. Can anyone just explain on STEP I question 2 the first part, why the angle is pi/n ?
As DFranklin said, you take a right angled triangle, hypotenuse R, small side r consider the angle of this triangle theta such that sin(theta)=r/R.

Now if you think of it like this, there are 2 'thetas' for every smaller circle and there are n smaller circles, so n=2pi/2theta so theta=pi/n.

It's kinda hard to explain without a diagram.
3. thanks for the help and thanks for the thread, a great help
4. Here is my attempt at Paper 1 number 6. Does anyone agree with it?
Attached Images
5. 1987PAPER1.6pdf.pdf (28.5 KB, 379 views)
6. (Original post by Dystopia)
STEP II, Q5.

i)

This is an infinite geometric series with . Since , it converges to .

As expected.

ii) Let

But , so

Note that when n=0.

iii) Let

But y = 0, so

Edit: Fixed. Didn't realise it was actually posting last night...
Been wondering what was wrong with this. Finally realised that in first part you have lower limit of sum as n=0 when it should be n=1
7. Here are my attempts at numbers 9-12 on 1987 STEP Paper I
I would be grateful for any confirmation or reports of errors.

Some errors have been discopvered. For revised solutions
see post no.237 for question 10
Post 238 for question 11 and post 239 for question 13
Attached Images
8. 1987PAPER1.9.pdf (32.2 KB, 350 views)
9. 1987PAPER1.10.pdf (40.6 KB, 271 views)
10. 1987PAPER1.11.pdf (41.1 KB, 294 views)
11. 1987PAPER1.12.pdf (26.2 KB, 313 views)
12. STEP I numbers 13-16
Again if anyone could check them I would be most grateful.
Attached Images
13. 1987PAPER1.13.pdf (43.1 KB, 280 views)
14. 1987PAPER1.14.pdf (25.2 KB, 200 views)
15. 1987PAPER1.15.pdf (45.6 KB, 267 views)
16. 1987PAPER1.16.pdf (35.5 KB, 258 views)
17. I think you need to update the links to the papers on the front page, as when I click on them I get sent to some random advertising webiste and am bombarded by pop-ups for 5 minutes.
18. (Original post by brianeverit)
Been wondering what was wrong with this. Finally realised that in first part you have lower limit of sum as n=0 when it should be n=1
Thank you for pointing that out; is it correct now?

Are you also in Y13 btw?
19. The links for the papers don't work.
20. Still not working...
21. (Original post by DaveSimpson)
Still not working...
That site no longer "works", it hasn't for several months. Shame, it was really good.

That should work.
23. lol it's no good, just gives me Page cannot be displayed
24. STYEP 1987 Fma
Questions 2,3 and 4
Attached Images
25. 1987PAPER fma.2.pdf (35.1 KB, 501 views)
26. 1987PAPER fma.3.pdf (28.9 KB, 403 views)
27. 1987PAPER fma.4.pdf (30.7 KB, 309 views)
28. 198987 STEP Fma numbers 8,9 and 10
Attached Images
29. 1987PAPER fma.8.pdf (43.7 KB, 281 views)
30. 1987PAPER fma.9.pdf (21.9 KB, 203 views)
31. 1987PAPER fma.10.pdf (35.5 KB, 200 views)
32. 1987 STEP Fma numbers 12 -16
Attached Images
33. 1987PAPER fma.12.pdf (51.6 KB, 239 views)
34. 1987PAPER fma.13.pdf (29.0 KB, 199 views)
35. 1987PAPER fma.14.pdf (41.1 KB, 197 views)
36. 1987PAPER fma.15.pdf (22.9 KB, 191 views)
37. 1987PAPER fma.16.pdf (15.4 KB, 245 views)
38. Those are the answers not the questions.
39. (Original post by DaveSimpson)
Those are the answers not the questions.
The purpose of this thead is to provide answers to the 1987 paper questions .
40. Yeah but what's the point of answers if no one has the questions?

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
your full birthday is required
1. Oops, you need to agree to our Ts&Cs to register

Updated: March 12, 2017
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### Haven't started revising yet?

It's not too late!

Poll
Useful resources

## Make your revision easier

Can you help? Study help unanswered threadsStudy Help rules and posting guidelinesLaTex guide for writing equations on TSR

## Groups associated with this forum:

View associated groups
Study resources

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.