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# Edexcel GCSE Mathematics A Higher Paper 2016 Unofficial Markscheme

1. (Original post by Xxxibgdrgn)
the last question asked for the exact figure tho....?
what did u get cuz in the beginning i got the whole area of the triangle as 0.5 then i worked out the smaller one and i took both areas away but i couldnt work it out?
2. (Original post by LogicalFallacy)
Hey, if anybody is willing to contribute the answers, and preferably the questions, then I shall set up a mark scheme for you all. Thanks in advance!

Can people please attach question numbers to their answers? Method would be appreciated.

This will be updated as I go along.
Spoiler:
Show
Question 1. What is the volume of the prism? (2 marks)

Area of face = 30cm²
Length of prism = 25cm.

30cm² x 25cm = 750cm³

Question 2a. Reflect shape in line X = -1 (2 marks)

Accept correct reflection.

Question 2b. Rotate shape 90° anticlockwise. (2 marks)

Accept correct rotation.

Question 3. What is wrong with the questionnaire? Give two reasons. (2 marks)
Attachment 538813
'Too vague (i.e. not 1-2, 3-4 etc.)' and 'no time frame (i.e. not per week, per month, etc.)' are accepted.

Why is his maths class not a good sample? (1 mark(?))

'Too small' and 'may be biased' are accepted,

Question 4. Simplify. (all of question 4, 6 marks)
P2 x P5 = P7

G6 ÷ G4 = G2

(K3)2 = K6

10-5mFactorise n2 - 7nn(n-7)

Question 5. Estimate 892 ÷ 18.9 (2 marks)
Round to 1 significant figure

900 ÷ 20 = 45

Question 6. A teacher is picked at random. 3/5 chance they are female. 36 are males. (3 marks)
How many teachers are there altogether?

2/5 of teachers are male. 36 are male.

2/5 of total = 36
2 x 18 = 36
18 x 2 = 90.
Answer is 90 teachers.

Question 7(?). Point is the midpoint. Where is the other end?
Answer is (-3, -2)

Question 10(?). Can the floor be varnished with 3 tins of 2.5 litre varnish and it is 5 m2 per litre. (5 marks)
Attachment 538829

2.5 m x 6 m = 15 m2
2.5 m x 6 m = 15cm2

10 m - (2.5 m - 2.5 m) = 5 m
6 m - 2 m = 4 m

5 m x 4 m = 20 m2

15 m2 + 15 m2 + 20 m2 = 50 m2

5 m2 per litre, 50 m2 ÷ 5 m2 = 10 litres

2.5 litres per tin, 3 tins, 3 x 2.5 = 7.5 litres.

Not enough, 7.5 litres is less than 10 litres.

Answer is 'not enough' with evidence.

Question 11(?). What percent of his total spending is his rent now?

Question 13(?). How many females visited the art gallery?
66 students went on the trip.

Males - Bowling - 4
Females - Bowling - 6
Total - Bowling - 10

Males - Art Gallery - 9
Females - Art Gallery - 11
Total - Art Gallery - 20

Males - Skating - 10
Females - Skating - 26
Total - Skating - 36

Males - Total - 23
Females - Total - 43
People - Total - 66

Answer is 11 females.

Question 14(?).
Attachment 538769
Area of square = 10cm x 10cm = 100 cm²
Area of circle = π5² = 25π cm²
Area of shaded = Area of square - Area of circle = 100 cm² - 25π cm² = 100 - 25π cm²

Question 15(?).

200 x 25% = 50
200 - 50 = 150

Last part, answer was 150.

Question 20(?). Solve X² = 4(X-3)²X² = 4[(X - 3)(X - 3)]X² = 4[X² - 3X - 3X+ 9]X² = 4[X² - 6X + 9]X² = 4X² - 24X + 360 = 4X² - X² - 24X + 360 = 3X² - 24X + 360 = 3[X² - 8x + 12]0 = 3[(X - 6)(X - 2)]X = 6 or X = 2

Question 21(?). What is the chance of the match being cancelled when it does not rain?
Attachment 538811
0.8 x 0.05

Question 22(?). What is the angle?

Angles in a triangle add up to 180°, base angles in an isosceles are equal.
180° - 48° - 48° = 84°

Angle at centre is twice angle at circumference.
84° ÷ 2 = 42°

Angles in a triangle add up to 180°, base angles in an isosceles are equal.
(180° - 42°) ÷ 2 = 69°

Question 23(?).
a + b

-a + 3b

¾(a+b)

Point S is on both lines and is the point at which the lines intersect.

Question 24(?).
Table - 100, 25, 4 (?)

Question 25.
Attachment 538759

(3-√6) ÷ 12
I think the questionnaire/survey question also awarded marks for creating a better question- not sure though but normally is out of 2 marks
Also there was question on envelopes and putting it in a t=x+y format, I believe the answer was y=5x+20y, cant remember the question number
3. (Original post by mrmarkland)
From the surds question i've seen.

ABD = 1/2 x rt2/2 x rt2/2 = 2/8 = 1/4

ABC = 1/2 x rt3/3 x rt2/2 = rt6/12

ABD - ABC = 1/4 - rt6/12
Wouldn't get full marks I don't think as you can write it all over 12.

(3-√6)/12
4. (Original post by carolinrev)
what did u get cuz in the beginning i got the whole area of the triangle as 0.5 then i worked out the smaller one and i took both areas away but i couldnt work it out?

The large triangle was 1/2*√2/2*√2/2 = 2/8 = 1/4

The small triangle was 1/2*√3/3*√2/2= √6/12

Large triangle - Small triangle = gray area

1/4 - √6/12 is equivalent to (3 - √6)/12
5. Simplified to T=x+4y
6. (Original post by DrPeter)
There are people on this forum who have not yet sat this exam. Some may be asking to confirm questions and answers only to get the questions and answers for when they sit it later today.The grades will rise if you give answers on here. Do not jeopardise your grade by giving answers until tomorrow.
no there's not, it's illegal for that to happen, anyone who missed the exam at 9am today has to do a different exam

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7. (Original post by B1u321)
Simplified to T=x+4y
That's wrong.
8. (Original post by Esme_G)
I think the questionnaire/survey question also awarded marks for creating a better question- not sure though but normally is out of 2 marks
Also there was question on envelopes and putting it in a t=x+y format, I believe the answer was y=5x+20y, cant remember the question number
It did award that, but I'm worried that if I create one then people will take it too literally and panic. I might anyhow in a bit.

And yes, there was a question, but I can't quite remember the number and that's what's troubling me.

Thanks anyhow!
9. (Original post by Akila1)
90 teachers

have got 90 teachers too.
10. (Original post by 34908seikj)
The large triangle was 1/2*√2/2*√2/2 = 2/8 = 1/4

The small triangle was 1/2*√3/3*√2/2= √6/12

Large triangle - Small triangle = gray area

1/4 - √6/12 is equivalent to (3 - √6)/12
well i got that wrong !!! there goes 4 or 5 marks ....
11. (Original post by 34908seikj)
You can't do 100-25pi without multiplying out the Pi first. BODMAS.
Explain yuself
Wha yu mean
12. 11 females went to arts gallery?
13. (Original post by 34908seikj)
Wouldn't get full marks I don't think as you can write it all over 12.

(3-√6)/12
Haven't seen the question with my own eyes, did it specify a form? e.g. a-rt6/b for example
14. (Original post by mrpaper)
Wasn't the probability tree 0.8 x 0.95? Some people are saying 0.8 and 0.04?
Can someone remind me what Q18 was?
it was 0.8 x 0.05 =0.04

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15. (Original post by Elleee1234)
I got 3.8 and 2.2 for the simultaneous equation

Posted from TSR Mobile
I think for that question you have to draw the y=-x+6 and den state the points at which they intersect the parabola for both the X any Y co-ordinates. I think you are meant to get two sets of results
16. noo you cant do that because you are not dividing the left side by 5 (T)
It is T=5x+ 20y
17. (Original post by eviltrees)
it was 0.8 x 0.05 =0.04

Posted from TSR Mobile
The probability of it not raining in June and the match not being cancelled.
0.04 doesn't make much sense.
18. (Original post by bantaleg)
Explain yuself
Wha yu mean
You can't do 10-2x4 = 8x4

That's the logic of 100-25pi = 75pi

It's completely flawed.
19. (Original post by Gabika1979)
11 females went to arts gallery?
yaass
20. (Original post by 34908seikj)
Exact means surds.
OMG so i wasted 30 mins trying to figure out the exact figure and then wrote down 0.50?!

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