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Mr M's OCR (not OCR MEI) Core 3 answers Jan 2013

Mr M's OCR (not OCR MEI) Core 3 answers Jan 2013


1. (i) 325\frac{3}{25} (3 marks)

(ii) 85\frac{8}{5} (3 marks)


2. (i) 52\frac{\sqrt 5}{2} (2 marks)

(ii) 17\frac{1}{7} (3 marks)


3. (a) t = 5 or t = 7 (3 marks)

(b) x<−2x<-\sqrt{2} (4 marks)


4. (i) t = 33.0 hours and t = 99.0 hours (3 marks)

(ii) 8.4 grams per hour (3 marks)


5. (i) Show ... (4 marks)

(ii) k=24πk=24 \pi (5 marks)


6. (i) Graph showing one positive point of intersection (3 marks)

(ii) Point out that log graph passes through (1, 0) and the quadratic passes through (2,0) (1 mark)

(iii) 1.917 (4 marks)

(iv) (3.92, 2.60) (3 marks)


7. (i) dxdy=ln⁡(2y+3)+2(y+4)2y+3\frac{dx}{dy}=\ln(2y+3)+\frac{2(y+4)}{2y+3} (3 marks)

(ii) 0.27 at A and 0.17 at B (5 marks)


8. (i) f(x)≥−3a2f(x) \geq -3a^2 (4 marks)

(ii) x=103x=\frac{10}{3} (6 marks)


9. (i) Prove ... (4 marks)

(ii) ±70.5\pm 70.5 degrees (3 marks)

(iii) 0<k<320 < k < \frac{3}{2} (3 marks)
(edited 11 years ago)

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Reply 1
Avatar for kinhew93
kinhew93
Thanks for this!

For 8i) is it ok to write:

f(x): f(x)ER , ?
what were the equations forquestion1!!! Please!
Original post by Benjy100
Do you have to explicitly state that k = 24pi or can it just be implied in the final answer of 24pi*ln(2)


Implied is fine.
Original post by kinhew93
Thanks for this!

For 8i) is it ok to write:

f(x): f(x)ER , ?


Yes.
Reply 5
Avatar for Coolina133
Coolina133
7
Have u got the answers for fp1 ?


Posted from TSR Mobile
Original post by Coolina133
Have u got the answers for fp1 ?


Posted from TSR Mobile


I'm busy now until later. Will post them about 6 p.m.
Reply 7
Avatar for hazbaz
hazbaz
11
Was it okay on the last one to skip a few steps and just say the max and min were 6 and 0 respectively etc and that gives the set of values?
Reply 8
Avatar for hazbaz
hazbaz
11
Original post by Coolina133
Have u got the answers for fp1 ?


Posted from TSR Mobile


How did you find FP1 :smile:.
Reply 9
Avatar for Supertod
Supertod
1ii) was 8/5 I think, not 8/25.
Original post by hazbaz
Was it okay on the last one to skip a few steps and just say the max and min were 6 and 0 respectively etc and that gives the set of values?


I expect you will drop one mark if you don't write it as an inequality.
Reply 11
Avatar for Theo115
Theo115
I do not agree with 9iii). Sort it out mate ;-)

http://www.thestudentroom.co.uk/showthread.php?t=2237386&p=41178540#post41178540
Original post by hazbaz
How did you find FP1 :smile:.


I thought it was nicee made some silly mistakes and u?


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Reply 13
Avatar for kinhew93
kinhew93
Original post by Supertod
1ii) was 8/5 I think, not 8/25.


I agree.
Original post by Mr M
I'm busy now until later. Will post them about 6 p.m.


Thanks sir.


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Reply 15
Avatar for ben494
ben494
Original post by Theo115


Your answers are different for 1 ii) as well


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Reply 16
Avatar for kinhew93
kinhew93
How did people find this?

I reckon I dropped one mark on 4i and 9iii really threw me but I got everything else right :smile:
Original post by Benjy100
I thought the last answer was 0 < k < 1.5 although I put 0 < k <= 1.5 for some reason - so I was going to ask whether I'd lose a mark for this but it seems I may have been wrong altogether!

Even if I am fundamentally wrong, it should be < and > signs as the limits for theta were -90 < theta < 90


You are almost right Benjy. I'll correct it.
Ideas on raw mark for A/A* ?
Original post by Supertod
1ii) was 8/5 I think, not 8/25.


It is. That one was just a typo. Fixed.

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