Edexcel A Level Further Mathematics Paper 3B (9FM0 3B) - 14th June 2024 [Exam Chat]

This poll is closed

How well did your Edexcel A Level Further Mathematics Paper 3B (9FM0 3B) exam go today?

Great 13%

Quite Well 34%

Not So Good 38%

Terribly16%

Total votes: 184

Talkative Toad

Volunteer Team, Clearing and Applications Advisor

Edexcel A Level Further Mathematics Paper 3B (9FM0 3B) - 14th June 2024 [Exam Chat]

Welcome to the exam discussion thread for this exam. Introduce yourself! Let others know what you're aiming for in your exams, what you are struggling with in your revision or anything else.

Wishing you all the best of luck.

General Information
Date/Time: 14th June 2024/ PM
Length: 1hr 30 mins

Resources:
Edexcel A Level Further Mathematics

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Reply 1

Talkative Toad

Volunteer Team, Clearing and Applications Advisor

Bumping this

Reply 2

username7058306

Not stressing for this one, can't imagine stats ever being too hard

Reply 3

kyan.cheung

Hi all, I've recorded the score distributions and my answers to each questions. Please tag me if you notice any issues!

1. (6 marks total)
a. (3 marks) Var(X)=4.9
b. (3 marks) Var(X^2)=97.69
2. (7 marks total)
ai. P(X=3) = 0.2090
aii. P(X<2)=0.3084 (2 marks total)
b. (4 marks) The Critical region is A<=1 or A>=12
c. (1 mark) P(Type I)=0.03744
3. (6 marks total)
a. (1 mark) Hypotheses - H0 colour and year group not associated, H1 colour and year group are associated
bi. Black Y10-12 because they are respectively the least frequent favourite colour and year group
ii. 5.383 (2 marks total)
c. (3 marks) (5-1)(3-1)=8 degrees of freedom with critical value 20.090, so reject H0 and conclude there is association between year group and favourite colour
4. (12 marks total)
a. (1 mark) X~Geo(1/6)
b. (2 marks) Show P(X<=3)=91/216
c. (5 marks) E[x]=6, Var(X)=30 -> Var(Xmean)30/64, P(5.6<Xmean<7.2)=0.6806
d. (4 marks) P(X>=16)=test value=0.064905...>0.05 so dont reject H0
5. (10 marks total)
a. (1 mark) H0 p=0.03 and H1 p>0.03
b. (2 marks) Size of test a 0.1821
c. (3 marks) Size of test b 0.2083
di. Power of a 0.7232
ii. We expect 94.877 compontents tested with test b (3 marks total)
e. Use test A as it has lower size and higher power (1 mark)
6. (16 marks total)
a. (6 marks) Variance 6
b. (4 marks) P(X<=2)=203/256
c. (4 marks) Y is a geometric distribution
d. (2 marks) P(X1+X2>5)=729/4096
7. (18 marks total)
a. (2 marks) Sam has prob 0.5886 of winning >=4 times
b. (4 marks) Don't remember what it asked but the answer was 0.04364 apparently
c. (6 marks) Show sam expects to win 1/25(n^2-16n). Sketch - basically set W~B(n, 1/5), then expected winnings is E[w^2+w-n] by sum rule. Then use E[w^2]=Var(W)+E^2[w]=4n/25+n^2/25 and simplify.
d. (4 marks) Sam has probability 0.3518 of not losing money
e. (4 marks) The other person has expected profit r^2-4r

RE predictions: with many people struggling on question 7, I think grade boundaries will be ~55 for A*.

(edited 10 months ago)

Reply 4

Ggggfbfbthr

How did everyone find it ?
I thought Q1-6 and 7a and 7b were relatively easy.
But 7c 7d and 7e were horrible and I probably lost all 14 marks 😭😭

Reply 5

str149

For the contingency table does it matter which way round H0 and H1 are

Reply 6

Fractril

That last question was an absolute beast. Other than that I’d say it was a pretty standard stats exam but the fact that many students might not be able to get the last 14 marks will probably make the grade boundaries quite low.