The Student Room Group

AQA A-level Further Mathematics Paper 1 (7367/1) - 22nd May 2024 [Exam Chat]

Scroll to see replies

Reply 20

Original post
by Tarig_
Do you mean 84%?

No he means 63-75 % you melon

Reply 21

for the matrices and vectors question is it the distance between two skew lines?? the earlier part was working out the angle between them and i thought thats only between intersecting stuff. otherwise shortest distance is 0

Reply 22

Original post
by MATHSMApoo
No he means 63-75 % you melon


Not, i meant 84%, sorry for the confusion

Reply 23

Original post
by xlibbyx
Wasn’t it tan5pi/12? I couldn’t do that one either, was the last one the differential equation one?


That one you had to use like the rules for multiply complex numbers then equate real and im but yeah last one was the string differential equation

Reply 24

Original post
by jessbfield
for the matrices and vectors question is it the distance between two skew lines?? the earlier part was working out the angle between them and i thought thats only between intersecting stuff. otherwise shortest distance is 0


Yeah I'm also not quite sure on my answer and wanted to check it, I used skew lines to find shortest distance and got I think (77root62)/31. But my friend got 5root62/31 so we have similar but not the same answers.

Reply 25

Original post
by Need-Know
Yeah I'm also not quite sure on my answer and wanted to check it, I used skew lines to find shortest distance and got I think (77root62)/31. But my friend got 5root62/31 so we have similar but not the same answers.


Which question, is that the one ask you to calculate the angle between AB and the plane?

Reply 26

Original post
by Justin Ju
Which question, is that the one ask you to calculate the angle between AB and the plane?


It was the one where you first were given line L1 then you were told L1 was transformed by a 3D matrix to form L2. You had to first work out L2 then find the angle between L1 and L2 and show it was 0.701 radians for 4 marks. That was fine. Next part was worth 6 marks and you had to find the shortest distance between L1 and L2. The lines were skew and I'm not sure 100% about my answer. There were wacky surds, me and my friend comparatively had similar but not the same answers, and in the exam I tried to check my answer by using a second method but couldn't do it and ran out of space so gave up. Wondering what answers other people got?

Reply 27

Original post
by Need-Know
It was the one where you first were given line L1 then you were told L1 was transformed by a 3D matrix to form L2. You had to first work out L2 then find the angle between L1 and L2 and show it was 0.701 radians for 4 marks. That was fine. Next part was worth 6 marks and you had to find the shortest distance between L1 and L2. The lines were skew and I'm not sure 100% about my answer. There were wacky surds, me and my friend comparatively had similar but not the same answers, and in the exam I tried to check my answer by using a second method but couldn't do it and ran out of space so gave up. Wondering what answers other people got?


Sorry mate, i just realized this is aqa, i took edexcel one, they are on the same days so i didn’t realize this.

Reply 28

Original post
by Justin Ju
Sorry mate, i just realized this is aqa, i took edexcel one, they are on the same days so i didn’t realize this.


Oh lol no worries hopefully someone else can share their answer then :smile:

Reply 29

Original post
by Need-Know
Yeah I'm also not quite sure on my answer and wanted to check it, I used skew lines to find shortest distance and got I think (77root62)/31. But my friend got 5root62/31 so we have similar but not the same answers.

if i can remember correctly i i got the answer your friend got i think

Reply 30

Original post
by Need-Know
Yeah I'm also not quite sure on my answer and wanted to check it, I used skew lines to find shortest distance and got I think (77root62)/31. But my friend got 5root62/31 so we have similar but not the same answers.
i got (35root62)/31 i think

Reply 31

my answers to most question don't remember order so listed random
4a) normal vector I crossed product the ABxAC dont remember values
4b) i got in the form ax+by+cz=17 i remeber d=17 as my value
5) for induction **** was common sense
6) z + w*=5 .... for z i got z=11/4 - i w= 9/4 - i
7) tan5pi/12 i did zw(arg)= pi/4 +pi/6= 5pi/12 zw= cos(5pi/12) + isin(5pi/12)
cartesian form zw= ( rt6 -rt2)/4 + i( rt6 +rt2)/4
tan 5pi/12 = (sin5pi/12)/ (cos5pi/12)
= ((rt6 +rt2)/4)/( rt6 - rt2)/4 = 2+ rt3

8) the general solution i got ycoshx= 1/4sinh^4(x) +c (c was a 4 digit numerator and denominator fraction i cant remeber exact val)

9) the angle gave the answer to 3 sf i got 0.7008 = 0.701 rad use the dot product.
9b) i did the matrice times the direction and position vector used the equation a.n/n a= difference between the point on the line and transformed one n= L1xL2 and i got 5rt62/31
10) the 2xarctanx couldnt do part b i was lost.
11) the integration by sub i didnt know what to sub ****ed it up.
12) the area of segment and that i got 3rt -0.5(1+3pi/4 + tan pi/4 + lnsecpi/4) in exact form
13) the spring one gave the answer just solve it 13c) a=-2.4 b=3
thats the questions i can remeber

Reply 32

Original post
by IHATEMATHS2w3
my answers to most question don't remember order so listed random
4a) normal vector I crossed product the ABxAC dont remember values
4b) i got in the form ax+by+cz=17 i remeber d=17 as my value
5) for induction **** was common sense
6) z + w*=5 .... for z i got z=11/4 - i w= 9/4 - i
7) tan5pi/12 i did zw(arg)= pi/4 +pi/6= 5pi/12 zw= cos(5pi/12) + isin(5pi/12)
cartesian form zw= ( rt6 -rt2)/4 + i( rt6 +rt2)/4
tan 5pi/12 = (sin5pi/12)/ (cos5pi/12)
= ((rt6 +rt2)/4)/( rt6 - rt2)/4 = 2+ rt3
8) the general solution i got ycoshx= 1/4sinh^4(x) +c (c was a 4 digit numerator and denominator fraction i cant remeber exact val)
9) the angle gave the answer to 3 sf i got 0.7008 = 0.701 rad use the dot product.
9b) i did the matrice times the direction and position vector used the equation a.n/n a= difference between the point on the line and transformed one n= L1xL2 and i got 5rt62/31
10) the 2xarctanx couldnt do part b i was lost.
11) the integration by sub i didnt know what to sub ****ed it up.
12) the area of segment and that i got 3rt -0.5(1+3pi/4 + tan pi/4 + lnsecpi/4) in exact form
13) the spring one gave the answer just solve it 13c) a=-2.4 b=3
thats the questions i can remeber

Most of it sounds good. Well done!

Reply 33

What did people get for the integral of √x²-9x+8x, I think it was

Reply 34

Original post
by Justin Ju
Which question, is that the one ask you to calculate the angle between AB and the plane?

What did u get as the angle. I got 50 degrees but apparently u had to take it away from 90 so the answer was acc 40 degrees

Reply 35

Original post
by M1stry24
What did people get for the integral of √x²-9x+8x, I think it was

iirc 3759/1024

Reply 36

Original post
by SamuelOJ
What did u get as the angle. I got 50 degrees but apparently u had to take it away from 90 so the answer was acc 40 degrees


Did you use sine or cosine? If you used sine then the answer is straight up whatever you worked out. If you used cosine then you need to do 90-your angle.

Reply 37

Original post
by jessbfield
for the matrices and vectors question is it the distance between two skew lines?? the earlier part was working out the angle between them and i thought thats only between intersecting stuff. otherwise shortest distance is 0

From what I can remember i got (5/32) * sqrt(62)

Reply 38

Original post
by acute-captive
From what I can remember i got (5/32) * sqrt(62)
(5/31)*sqrt(62) sorry mistype

Reply 39

Original post
by xlibbyx
Wasn’t it tan5pi/12? I couldn’t do that one either, was the last one the differential equation one?

For the tan5pi/12 one, I converted it into Cartesian form and then multiplied z and w that way, you could then equate real coefficients to cos and imaginary coefficients to sin and use the trig identity for tan to calculate it. I think that's how I did it if I'm remembering correctly. It was such a weird question. Have no clue for the differential equation one but I hope this helps :/

Quick Reply