2017 AQA Level 2 Further Maths Paper 2 Unofficial Mark Scheme

Thanks. @Boil if you plot the inequalities on a number line (yeah I know) it's clear to see -2 is the only answer: https://www.desmos.com/calculator/um4a23ffwt

Otherwise it is clear that $\{-2, -1, 0\} \cap \{-2, -3, -4, ...\} = \{-2\}$, the first two sets being the integer solutions to the two inequalities

Shouldn't there be 1 in the first set also since it was -11/5<x<=5

Thanks. Edited.

I got both inequalities right but stupidly misread the question and wrote -1 instead of -2. Do you think I can get 4 method marks since I only went wrong in the end.

Dammit, I misread the question since I thought they asked for 1 solution that cannot be in both inequalities.
-11/5 < x <= 1
x < -3/2

How many method marks will I get since I got to the end and wrote the wrong answer?

Thanks. @Boil if you plot the inequalities on a number line (yeah I know) it's clear to see -2 is the only answer: https://www.desmos.com/calculator/um4a23ffwt

Otherwise it is clear that $\{-2, -1, 0, 1\} \cap \{-2, -3, -4, ...\} = \{-2\}$, the first two sets being the integer solutions to the two inequalities

Yeah, I messed up some easy questions too. For the find the area of the rectangle question I found the area of the triangle instead. I made a stupid mistake on the circle theorem question. I made a substitution error on the quadratic simultaneous equation. I got stuck on the 'find the value of cos in terms of k' and guessed incorrectly. Hopefully I still get method marks lol. Really hope I scrape enough marks for A^.

1a. $30$ (and $-30$ is probably allowed) Marks=3?
b. $-1.5$ Marks=?

2a. $\begin{pmatrix} -13 & 2 \\ 6 & 1 \end{pmatrix}$ Marks=?
b. $\frac{11}{8}$ Marks=?
c. Because the number of columns of B does not equal the number of rows of A Marks=1

3a. Since $1365 = 3*5*7*13$, choose any two factors, multiply those together, and write the other two factors: e.g $3, 5, 91$ Marks=?
b. Factorised, $ab-11b = b(a-11)$ so $b$ is an arbitrary square e.g $4$, and $a=36$ Marks=?

4. $2744$ Marks=?

5. $\frac{4}{5}$ Marks=?

6. $12.31$ Marks=?

7. $16$ Marks=?

8. $106.1$ Marks=?

9. $x=-2$ Marks=? www.desmos.com/calculator/um4a23ffwt .
Otherwise it is clear that $\{-2, -1, 0, 1\} \cap \{-2, -3, -4, ...\} = \{-2\}$ , the first two sets being the integer solutions to the two inequalities

10. $15.2$ Marks=?

11a. Draw the thing. Marks=?
11b. $-5 <= f(x) <= 7$ Marks=?

12a. $3(5-x)(5+x)$ Marks=?
b. $12n$ Marks=?

13.$\frac{50a^2}{3}$ Marks=5?

14. $a=4$, $b=10$ Marks=?

15. $y=\frac{8x}{w+1}$ Marks=3?

16a. $3^{-2b}$ Marks=1
b. $5^{x+2}$ Marks=1
c. $2^{3m}$ Marks=1

17a. $(4, -25)$ Marks=?
c. The roots are $x=5.79$ and $x=1.21$ Marks=?
18. $\frac{32y^2}{5}$ Marks=?

19a. $k$. Marks=1 Think of 19a. and 19b. as transformations: https://www.desmos.com/calculator/4kphkki8vl
b. $-k$ Marks=1
c. $\sqrt{1-k^2}$. This is rearranging of $\sin^2 x + \cos^2 x = 1$ with $\sin^2 x = k^2$ Marks=2

20a. Angle at circumference is half angle at centre Marks=1
b. e.g Angle in triangle $90-x$
Angle on straight line $90+x$
Opposite angle in cyclic quadrilateral $90-x$
Other base angle $90-x$
Other angle in triangle $180-2(90-x) = 2x, QED$ Marks=5?
There are obviously many other ways to do this. I think we all know if we got or did not get marks on this question

21a. $(0, 8)$ Marks=?
b. $-2x+2$ Marks=?
c. Normal equation $y= \frac{-1}{2}x + 8$
So intersects x-axis at $(16, 0)$
The rest is easy (show one length is twice the other) Marks=?

22. $(-6/5, -7/5)$ and $(2, 5)$ were the pairs of solutions Marks=?

23. $-1$ is the constant, because

$\frac{1}{\tan^2 x} - \frac{1}{\sin^2 x}$

$= \frac{1}{(\frac{\sin x}{\cos x})^2} - \frac{1}{\sin^2 x}$

$= \frac{1}{\frac{\sin^2 x}{\cos^2 x}} - \frac{1}{\sin^2 x}$

$= \frac{\cos^2 x}{\sin^2 x} - \frac{1}{\sin^2 x}$

$= \frac{\cos^2 x - 1}{\sin^2 x}$

$= \frac{- (-\cos^2 x + 1)}{\sin^2 x}$

$= \frac{- \sin^2 x}{\sin^2 x}$

$= -1$ Marks=4?

24. $3(2x-5)^2 - 70$ Marks=4?

I made almost every single one of those mistakes you just named haha. Just goes to show how easily you can be robbed of marks you deserve just by making stupid little errors throughout!

Thanks. @Boil if you plot the inequalities on a number line (yeah I know) it's clear to see -2 is the only answer: https://www.desmos.com/calculator/um4a23ffwt

Otherwise it is clear that $\{-2, -1, 0, 1\} \cap \{-2, -3, -4, ...\} = \{-2\}$, the first two sets being the integer solutions to the two inequalities

Question 24 was definitely 5 marks

I feel like I'm the only person who found this paper easy (bar a couple). I've only lost 4 marks on this one, but 13 odd marks on paper 1 lol.

What was the answer for the question where you had to work out the area of OAB i got 24 but I don't see it in the ms