Mr M's OCR FSMQ Additional Maths Answers Thread

OCR FSMQ Additional Maths Answers

I hope these are all correct?! I only picked up the paper at 2.55 p.m. so these really are hot off the press! Shout if you disagree and I will check my work.


1. Inequality

(3 marks)


2. Binomial expansion

(3 marks)


3. Factors and remainders

(i) Remainder = 0 (2 marks)

(ii) (3 marks)


4. Binomial probability

(i) (2 marks)

(ii) (4 marks)


5. Maximum and minimum points

(i) Maximum at (-1, 12) (5 marks)

(ii) Positive cubic with vertices at (-1, 12) maximum (3, -20) minimum and crossing y axis at (0, 7). (1 mark)


6. Constant acceleration

(i) (3 marks)

(ii) 42 seconds (2 marks)


7. Trigonometric equation

(i) Show ... (1 mark)

(ii) Show ... (2 marks)

(iii) 75 degrees or 15 degrees (4 marks)


8. Variable acceleration

6.25 km (5 marks)


9. Circle

(i) Centre (8,2) (2 marks)

(ii) Show radius (2 marks)

(iii) (2 marks)


10. Modelling

(i) k = 0.5 (2 marks)

(ii) c = -0.25 (2 marks)

(iii) John's model is best as it gives the correct y value when x = 3. (2 marks)


11. Trigonometry

(i) Show AF=122.7. BF = 113.1 m (4 s.f.) (5 marks)

(ii) Height = 21.63 m (4 s.f.) (2 marks)

(ii) CF = 106.2 m (4 s.f.) and angle of elevation = 11.5 degrees (1 d.p.) (5 marks)


12. Shape made from card

(i) Equation of AB (4 marks)

(ii) Coordinates of A (-4, 6) (3 marks)

(iii) Area of AOB = 21.25 square units (5 marks)


13. Factory components

(i) Ali makes 72/t components per hour and Beth makes 72/(t+2) components per hour (3 marks)

(ii) Derive equation (5 marks)

(iii) Ali takes 6 hours and Beth takes 8 hours (4 marks)


14. Linear programming

(i) (2 marks)

(ii) (1 mark)

(iii) Obtain V shaped graph (3 marks)

(iv) 5 large vans and 5 small vans cost £700 (4 marks)

(v) 7 large vans and 1 small van = £620 (2 marks)


Edit: Correction to answer 1 and answer 11

Isn't the height of the tower 21.64 (4SF) ?

122.7tan(10)

Q11 (ii)

grade boundaries rough idea?

How do you get the answer to Q4 (ii)
Isn't it 1 - ( P(X=0) + P(X=1)) ?
I get P(X=1) =

can u go through question 8?
u know when u integrated it did u have to find +c?

Not if you integrated between limits.

You needed to integrate $60 (t^4-10t^3+25t^2)$ with respect to t between 0 and 5.

i was going to ask about this and the rest of the question...but i felt abit rude *embarrassed* looll

oh...you know the second question to the binomial expansion i got something like 0.132

i thought you had to do this>>

4C0 x 1/6^0 x 5/6^4 + 4C1 x 1/6^1 x 5/6^3 = .......
1-ANSWER = 0.131944...

could you tell me where i went wrong please?

EDIT: clearly i should read all the posts before i comment

Thanks a lot for the thread.
just for my curiosity are you a teacher? Or how did you have access to the paper?

what do u think u need to get for an A?

yes

OCR FSMQ Additional Maths Answers

I hope these are all correct?! I only picked up the paper at 2.55 p.m. so these really are hot off the press! Shout if you disagree and I will check my work.


1. Inequality

$x > 1.4$ (3 marks)


2. Binomial expansion

$1-12x+66x^2-220x^3 + ...$ (3 marks)


3. Factors and remainders

(i) Remainder = 0 (2 marks)

(ii) $x=2, x=4, x=-1$ (3 marks)


4. Binomial probability

(i) $\frac{625}{1296}$ (2 marks)

(ii) $\frac{19}{1296}$ (4 marks)


5. Maximum and minimum points

(i) Maximum at (-1, 12) (5 marks)

(ii) Positive cubic with vertices at (-1, 12) maximum (3, -20) minimum and crossing y axis at (0, 7). (1 mark)


6. Constant acceleration

(i) $2 ms^{-2}$ (3 marks)

(ii) 42 seconds (2 marks)


7. Trigonometric equation

(i) Show ... (1 mark)

(ii) Show ... (2 marks)

(iii) 75 degrees or 15 degrees (4 marks)


8. Variable acceleration

6.25 km (5 marks)


9. Circle

(i) Centre (8,2) (2 marks)

(ii) Show radius (2 marks)

(iii) $x^2 + y^2 -16x -4y + 18=0$ (2 marks)


10. Modelling

(i) k = 0.5 (2 marks)

(ii) c = -0.25 (2 marks)

(iii) John's model is best as it gives the correct y value when x = 3. (2 marks)


11. Trigonometry

(i) Show AF=122.7. BF = 113.1 m (4 s.f.) (5 marks)

(ii) Height = 21.63 m (4 s.f.) (2 marks)

(ii) CF = 106.2 m (4 s.f.) and angle of elevation = 11.5 degrees (1 d.p.) (5 marks)


12. Shape made from card

(i) Equation of AB $3y = -2x + 10$ (4 marks)

(ii) Coordinates of A (-4, 6) (3 marks)

(iii) Area of AOB = 21.25 square units (5 marks)


13. Factory components

(i) Ali makes 72/t components per hour and Beth makes 72/(t+2) components per hour (3 marks)

(ii) Derive equation (5 marks)

(iii) Ali takes 6 hours and Beth takes 8 hours (4 marks)


14. Linear programming

(i) $2x + y \geq 15$ (2 marks)

(ii) $y \geq x$ (1 mark)

(iii) Obtain V shaped graph (3 marks)

(iv) $C=80x+60y$ 5 large vans and 5 small vans cost £700 (4 marks)

(v) 7 large vans and 1 small van = £620 (2 marks)


Edit: All correct now I believe. The lesson to be learned here is to read the question properly (unlike me).

Isn't your answer for question 9 wrong? Its supposed to be (7,1) because in order for you to get the second part right 8x8 +2x2 must equal r x r which in this is 5 root 2. In order for this to work 7x7 =49 + 1x1= 1. 49+1 =50 root 50 = 5 root 2 according to my calculator.