Mr M's OCR FSMQ Additional Maths Answers June 2017

Mr M's OCR FSMQ Additional Maths Answers June 2017

1.

-1 < x < 2

(3 marks)

2.

3x-2y-11=0

(4 marks)

3.

y=5x-16

(4 marks)

4. (i)

2 \sqrt 5

(2 marks)

(ii) (-1, 6) (1 mark)

5. (i)

x^2+y^2=50

(2 marks)

(ii) (5, 5) and (7, 1) (4 marks)

6. (i) x = -3 (2 marks)

(ii)

x=-3

x=2 \pm \sqrt 2

(4 marks)

7. (i)

\frac{56}{3}

(4 marks)

(ii) Sketch and comment that part of the curve in this interval lies beneath the x axis (2 marks)

8.

\frac{19}{144}

(6 marks)

9. (i) Show (3 marks)

(ii) 56 metres (4 marks)

10. (i)

\cos ADC = \frac{-4b^2+4d^2+a^2}{4ad}

(1 mark)

(ii)

\cos ADB = \frac{-4c^2+4d^2+a^2}{4ad}

(1 mark)

(iii) Show (3 marks)

(iv)

2 \sqrt{10}

(2 marks)

11. (i) Show (1 mark)

(ii) Show (5 marks)

(iii) x=3 and

\frac{75}{2}

tonnes (6 marks)

12. (i)

x+3y \geq 30

(1 mark)

(ii)

x \leq 15

and

y \leq 8

(1 mark)

(iii)

2x+3y \leq 48

(1 mark)

(iv) Plot (5 marks)

(v) 15 minibuses and 5 buses (2 marks)

(vi) 6 minibuses and 8 coaches costing £1800 (2 marks)

13. a) (i) 2.3 hours (2 marks)

(ii) 2.5 hours (3 marks)

b) (i)

t=\frac{x}{5}+\frac{\sqrt{x^2-8x+25}}{2}

(4 marks)

(ii) x = 2.7 provides the lowest value of t (2.174778272 hours). (3 marks)

14. (i) 46.9 metres (2 marks)

(ii) 1051.8 metres (5 marks)

(iii) 8.37 degrees (5 marks)

Edit: corrected some incorrect signs

(edited 6 years ago)

Scroll to see replies

Reply 1

Alaskanbullworm

According to this I've got everything right (well, the answers anyway), yes!

Reply 2

sivthasan

1 or 2 marks off 100 - hard work paid off!

Reply 3

Mr M

Study Forum Helper

Original post by Alaskanbullworm

According to this I've got everything right (well, the answers anyway), yes!

Well done.

Reply 4

Mr M

Study Forum Helper

Original post by sivthasan

1 or 2 marks off 100 - hard work paid off!

Nice.

Reply 5

sivthasan

Original post by Mr M

Nice.

Thanks - for 12v) I think it also asked for the cost, which was £2250. I wrote it down any way.

Reply 6

Mr M

Study Forum Helper

Original post by sivthasan

Thanks - for 12v) I think it also asked for the cost, which was £2250. I wrote it down any way.

It didn't ask for the cost. There's no problem with providing it though.

Reply 7

georgetbarber

Original post by Alaskanbullworm

According to this I've got everything right (well, the answers anyway), yes!

Well done, what actually was question 9? I can't remember what it was about for some reason and it's really bugging me haha

Reply 8

keeezzzia

actually done so bad :frown:

was aiming for an A but will be lucky if I get a B

Reply 9

Vivaciousness

For 12 v) I got 9 minibuses and 7 coaches -

I swear they asked us to find a combination that makes them hire as many minibuses as they can (or more minibuses than coaches) for the smallest cost and smallest number of vehicles. So for the 9 and 7 combination there are more minibuses than coaches, the cost is £1950 and number of vehicles is 16, which is smaller than the cost and number of vehicles with the 15 minibuses and 5 coaches combination

(edited 6 years ago)

Reply 10

y.u.mad.bro?

Never did the course in school. Learnt it all by myself. Will be so pleased with an a. Lost some stupid marks in xmcertain questions.

Can someone add the questions and method for doing them when they have time.

Calculating my marks, I lost 18 to 20 marks if I get all my other marks and method marks. Hoping so much for 80 or more

(edited 6 years ago)

Reply 11

Serenattk

What was the question for question 8?

Reply 12

dx31

Do you have a copy of the paper? I just forgot what some questions were so I can't remember what i wrote for them

Reply 13

Mr M

Study Forum Helper

Original post by Priya0311

It said you had to hire as many minibuses as possible.

Reply 14

Mr M

Study Forum Helper

Original post by Serenattk

What was the question for question 8?

4 ordinary six sided dice are rolled. Find the probability that at least 2 sixes are obtained.

Reply 15

Mr M

Study Forum Helper

Original post by dx31

Do you have a copy of the paper? I just forgot what some questions were so I can't remember what i wrote for them

Ask your teacher to show you a paper tomorrow. It's not my property to share.

Reply 16

Vivaciousness

Original post by Mr M

It said you had to hire as many minibuses as possible.

Oh, my bad then. I wrote out 15 minibuses and 5 coaches in like my working of possible combinations and then at then end wrote about the 9 minibus one...so would I only lose one mark for the question because I acknowledged the right combination or both?

Reply 17

bo.beynon

Original post by Mr M

Mr M's OCR FSMQ Additional Maths Answers June 2017

1.

-1 < x < 2

(3 marks)

2.

3x-2y-11=0

(4 marks)

3.

y=5x-16

(4 marks)

4. (i)

2 \sqrt 5

(2 marks)

(ii) (1, -6) (1 mark)

5. (i)

x^2+y^2=50

(2 marks)

(ii) (5, 5) and (7, 1) (4 marks)

6. (i) x = -3 (2 marks)

(ii)

x=-3

x=2 \pm \sqrt 2

(4 marks)

7. (i)

\frac{56}{3}

(4 marks)

(ii) Sketch and comment that part of the curve in this interval lies beneath the x axis (2 marks)

8.

\frac{19}{144}

(6 marks)

9. (i) Show (3 marks)

(ii) 56 metres (4 marks)

10. (i)

\cos ADC = \frac{4b^2-4d^2-a^2}{4ad}

(1 mark)

(ii)

\cos ADB = \frac{4c^2-4d^2-a^2}{4ad}

(1 mark)

(iii) Show (3 marks)

(iv)

2 \sqrt{10}

(2 marks)

11. (i) Show (1 mark)

(ii) Show (5 marks)

(iii) x=3 and

\frac{75}{2}

tonnes (6 marks)

12. (i)

x+3y \geq 30

(1 mark)

(ii)

x \leq 15

and

y \leq 8

(1 mark)

(iii)

2x+3y \leq 48

(1 mark)

(iv) Plot (5 marks)

(v) 15 minibuses and 5 buses (2 marks)

(vi) 6 minibuses and 8 coaches costing £1800 (2 marks)

13. a) (i) 2.3 hours (2 marks)

(ii) 2.5 hours (3 marks)

b) (i)

t=\frac{x}{5}+\frac{\sqrt{x^2-8x+25}}{2}

(4 marks)

(ii) x = 2.7 provides the lowest value of t (2.174778272 hours). (3 marks)

14. (i) 46.9 metres (2 marks)

(ii) 1051.8 metres (5 marks)

(iii) 8.37 degrees (5 marks)

4ii) It asked for the midpoint of the line between (1,5) and (-3,7) so the answer was (-1,6)

10i) The answer was (4d^2+a^2-4b^2)/4ad
100ii) The answer was (4d^2+a^2-4c^2)/4ad