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Does anyone have the answers for this gcse grade 9 paper??

http://m4ths.com/grade-9-gcse.html
I just did paper 2 and I'm curious to find out how I did. Does anyone have the answers??


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Original post by .Matthew.
http://m4ths.com/grade-9-gcse.html
I just did paper 2 and I'm curious to find out how I did. Does anyone have the answers??


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You have to buy them... the questions are free though
Reply 2
Original post by haseeb_jarral786
You have to buy them... the questions are free though


:/ does any maths genius mind doing the paper then?? :smile:


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Original post by .Matthew.
:/ does any maths genius mind doing the paper then?? :smile:


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I might have a go later... :smile: I'll share the answers and we can compare if that helps!
Reply 4
Original post by haseeb_jarral786
I might have a go later... :smile: I'll share the answers and we can compare if that helps!


Okay thanks :smile:


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Original post by .Matthew.


What answers did you get for the first few questions?
Original post by haseeb_jarral786
What answers did you get for the first few questions?


I've attempted the first question and I got 125 Tourists in the winter of 1986.
Reply 7
Original post by haseeb_jarral786
What answers did you get for the first few questions?

May as well share them all
1) 125
2) I don't know how to do it
3)I think I got this. Turning point (-4,-3) passes through (-9,0) and (0,1)
4) I showed that the line intersects the circle at two points (-5.3,-2.98) and (4.7,2.7) and also that it passes through the origin by rearranging the equation and showing that when x is 0 y is also 0.
5)5.5 metres, 1.5 seconds
6)135 units
7)18 minutes
8) SAS. AB=BC, angle BAX= angle BCY (because the triangle was isosceles), AX=YC (because they are both 1/4 of AC)
9)y=(5-2x^3)/x^2
10)I don't know how to do this :/
11)x=p, y=q so y+(x/2) is q+(p/2)=B
12)x=112.5 degrees and x=300 degrees. Unsure about this
13) a) x=p, y=q or x=r, y=s
b) I don't know
14)Michael was in the top 25% of performers in class X
15)2
16)35.4 cm^2
17)28.563 degrees


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Original post by .Matthew.
May as well share them all
1) 125
2) I don't know how to do it
3)I think I got this. Turning point (-4,-3) passes through (-9,0) and (0,1)
4) I showed that the line intersects the circle at two points (-5.3,-2.98) and (4.7,2.7) and also that it passes through the origin by rearranging the equation and showing that when x is 0 y is also 0.
5)5.5 metres, 1.5 seconds
6)135 units
7)18 minutes
8) SAS. AB=BC, angle BAX= angle BCY (because the triangle was isosceles), AX=YC (because they are both 1/4 of AC)
9)y=(5-2x^3)/x^2
10)I don't know how to do this :/
11)x=p, y=q so y+(x/2) is q+(p/2)=B
12)x=112.5 degrees and x=300 degrees. Unsure about this
13) a) x=p, y=q or x=r, y=s
b) I don't know
14)Michael was in the top 25% of performers in class X
15)2
16)35.4 cm^2
17)28.563 degrees


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Here is what I have atm...

1) 125 people
2) No idea :s-smilie:
3) Turning point = (-4,-3). The roots are (-8) and (roughly -0.5). The y-intercept is (0,1).
4) Proving the line crosses the origin and that the circles centre is the origin. (Although I don't think that'll get you all the marks).
5) 5.5 metres in 1.5 secs
6) 135 cm
7) 17 minutes

I'm still going!
I got 2/(20x+27) for the second question. Not sure what I did wrong since it says a and b are integers.
Original post by TeamXO
I got 2/(20x+27) for the second question. Not sure what I did wrong since it says a and b are integers.


which sections did you include? I got B (intersect) C (not including) A. But what does the line C mean at the end?
Original post by haseeb_jarral786
which sections did you include? I got B (intersect) C (not including) A. But what does the line C mean at the end?


I did this a long time ago so I think I am remembering it right.

The line means probability of B (intersect) A' given C.

The line means "given that" - it is conditional probability.

When that line is there, you follow this general formula:

P(X|Y) = P(X(intersect)Y) / P(Y)
so in our case it is:

X = B(intersect) A'
Y = C

so it is P(B (intersect) A' (intersect) C) / P(C)
Reply 12
Original post by TeamXO
I did this a long time ago so I think I am remembering it right.

The line means probability of B (intersect) A' given C.

The line means "given that" - it is conditional probability.

When that line is there, you follow this general formula:

P(X|Y) = P(X(intersect)Y) / P(Y)
so in our case it is:

X = B(intersect) A'
Y = C

so it is P(B (intersect) A' (intersect) C) / P(C)


Thanks for explaining that :smile: do you think we will be questioned on the line in an exam?


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Original post by TeamXO
I did this a long time ago so I think I am remembering it right.

The line means probability of B (intersect) A' given C.

The line means "given that" - it is conditional probability.

When that line is there, you follow this general formula:

P(X|Y) = P(X(intersect)Y) / P(Y)
so in our case it is:

X = B(intersect) A'
Y = C

so it is P(B (intersect) A' (intersect) C) / P(C)


I remember doing conditional probability, just never seen it written down. Thank you :smile:
Original post by .Matthew.
Thanks for explaining that :smile: do you think we will be questioned on the line in an exam?


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What exam board are you doing? AQA just needs you to know the phrase 'what is the probability of x given y' which they'll just give in the question.
For question number 4, here's how I proved it:

x2+y2 = 25 (1.0)
3x+4y = 0 (2.0)

rearrange equation (2.0) to give y = -3x/4.

substitute into (1.0) to get x = +4 and x = -4
subsitute these values back into equation (2.0) to get y = +3 and y = -3

So when x = 4 y = -3 and when x = -4, y = 3
42+(-3)2= 25
and similarly
(-4)2+32= 25.

Therefore, a part of the line 3x+4y = 0 must be the diameter as it intersects the circle at those two points and fits the equation of the circle. Additionally, you can prove that the line passes through the origin.

Original post by RDKGames
"Additionally" should be replaced by "alternatively" because showing that the line passes through the centre is enough to prove it contains the diameter of the circle.

Find the centre coordinates of the circle, run them through the line, if the eq. of the line is satisfied, the line and circle's centre coincide. Job done. I don't see the need for substitutions and such.
(edited 6 years ago)
Reply 16
Original post by haseeb_jarral786
What exam board are you doing? AQA just needs you to know the phrase 'what is the probability of x given y' which they'll just give in the question.


I'm doing AQA. I can do questions with that phrase so I'm okay :smile: What exam board are you doing?


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Original post by .Matthew.
Thanks for explaining that :smile: do you think we will be questioned on the line in an exam?


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If you are doing Edexcel it could come up. I'm not sure about the other exam boards.

Original post by haseeb_jarral786
What exam board are you doing? AQA just needs you to know the phrase 'what is the probability of x given y' which they'll just give in the question.


I am doing Edexcel :smile:.

Question 5:

h = -2t2+6t+1 (1.0)
dh/dt = -4t + 6
0 = -4t + 6
4t = 6
t = 1.5
subsitute back into (1.0) to get h = 5.5 metres
(edited 6 years ago)
Original post by .Matthew.
I'm doing AQA. I can do questions with that phrase so I'm okay :smile: What exam board are you doing?


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AQA. I expect the next 2 papers to be hard as the first one was quite easy. What do you think?
Reply 19
Original post by TeamXO
For question number 4, here's how I proved it:

x2+y2 = 25 (1.0)
3x+4y = 0 (2.0)

rearrange equation (2.0) to give y = -3x/4.

substitute into (1.0) to get x = +4 and x = -4
subsitute these values back into equation (2.0) to get y = +3 and y = -3

So when x = 4 y = -3 and when x = -4, y = 3
42+(-3)2= 25
and similarly
(-4)2+32= 25.

Therefore, a part of the line 3x+4y = 0 must be the diameter as it intersects the circle at those two points and fits the equation of the circle. Additionally, you can prove that the line passes through the origin.


I did this, though I got different solutions to the simultaneous equations. I solved x^2+(9x^2/16)-25 for x and got x=4.7 and x = -5.3??


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