AQA Maths 2017 Unit 1 Higher Tier *UNOFFICIAL* MARKSCHEME Watch

TamirS
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I know there has been 29 questions in this paper, so i am asking you to help me finish this. That's all I got so far

TOTAL MARKS = 80 (as i missed a few questions and am not sure of the marks per question, the total marks in this UNOFFICIAL mark scheme is 73. As questions will be added, I will try to figure out the gap and make it as accurate as possible!)

OK, So i was reviewing the official thread and I would like other people to have the chance to see a better designed unofficial mark scheme for the AQA Maths - Unit 1 (Higher) 2017 paper and there it is...

*NOTE* - I am not sure of the question numbers, but the order of the questions is pretty much correct. Please do reply if you have any comments or if you want to add or correct the mark scheme

The mark scheme is built from replies in the official thread and it is partially credited for the answers here.

Question 1: Simplify 23 x 25[1 marks]
Answer: 28

Question 2: Congruent triangles [1 marks]
Answer: ASA (Angle-Side-Angle)

Question 3: Which of the given sequences is a geometric sequence? [1 marks]
Answer: third answer - 2,6,18,54,x (can't fully remember)

Question 4: The ratio of a:b is 3:4; How would you represent b in terms of a?[1 marks]
Answer: b is 3/4 of a (fourth answer)

Question 5: Factorise and simplify 36[2 marks]
Answer: 22 x 32
Reason:

36
/ \
/ \
12 3
/ \
4 3
/ \
2 2

Question 6(a): What is the gradient of the line between the points (-2,-5) and (-4,-9)?[2 marks]
Answer: The gradient is -2.
Reason:

-5 - (-9) = -5 + 9 = 4 = 2
-2 - (-4) = -2 + 4 = 2

Question 6(b): Is the line going through the point (601,-301)?[1 marks]
Answer: Yes.

Question 7: Is reflection the only single transformation that can be used to make rectangle A fit rectangle B?[1 marks]
Answer: No, translation can also be used.

Question 8: You are given this equation: 8x km/h = 5y mph. Express y in terms of x.[2 marks]
Answer: y = x/1.6

Question 9: Write six million five thousand and two hundred in standard form.[2 marks]
Answer: 6.0052 x 106

Question 10: What is the cheapest way to buy 8 bottles? You may split it between the three shops.[4 marks]
Shop A: Buy 1; Get 2 for half the price
Shop B: Buy 2; Get 3 for half the price
Shop C: Get 30% off for each bottle.
The Initial price is the same between the shop and is up to your decision (NOT STATED IN THE QUESTION)
Answer: 6 bottles from shop A (2 x 3 bottles) and 2 bottles from shop C

Question 11: A circle has been fitted to a square with the area of 64cm2; What is the area of the circle in terms of pi?[3 marks]
Answer: 16pi
Reason:

area of 64cm2 means the square has sides of 8 cm - the diameter of the circle.
Area of circle - pi x r2 = pi x 42 = pi x 16 = 16pi

Question 12: Vectors (what was the question?)[1 marks]
Answer: Second option (what was it?)

Question 13: Solve the simultaneous equation: (2x+y=18) and (x-y=6).[4 marks]
Answer: x=8, y=2
Reason:

2x+y=18
2x-2y=12 (double this)
then substract the second from the first equation.

3y = 6 therefore y=2

Apply the y in any equation:
2x + 2 = 18
2x = 16
x = 8

Question 14: Cumulative frequency - what was the minimum marks for the top 20%?[4 marks]
Answer: As its an estimate, it could vary between 70 to 80.

Question 15: Acceleration (what was it?)[2 marks]
Answer: 6 seconds

Question 16: Distance (what was it?)[2 marks]
Answer: 300m

Question 17(a): True / False question (remind me please?)[3 marks]
Answer: False, False, True

Question 17(b): True / False question (remind me please?)[3 marks]
Answer: True, True, False

Question 18: What is the diameter of the circle x2 + y2 = 64?[3 marks]
Answer: 16

Question 19: Calculate the tangent to the circle equation in the form of y = mx + c[3 marks]
Answer: y= 1/4 x + 4 & 1/4

Question 20: What will be the total price for the tickets?[4 marks]
Answer: £90.64
Reason:

price before any fees: £80
add 10% booking fee: £80 + £8 = £88
add another 3%: £88 x 1.03 = £90.64

Question 21: How many people are there in the office?[4 marks]
Answer: 288
Reason:

m = 2f (there are twice more female then male)
1/4 female wear glasses; 3/8 male wear glasses.
there are x people who wear glasses.
*forgot what i did then sorry...*

Question 22: In order to fit triangle A in triangle B, two transformations where used. The first one was rotation of 90° from E.What was the second transformation?[3 marks]
Answer: Enlargement with a s.f. of -2 from (-1,0)

Question 23: Expand and simplify (x-4)(2x+3y)2[4 marks]
Answer:4x3 + 12x2y + 9xy2 - 16x2 - 48xy - 36y2
Reason:

(x-4)(2x+3y)(2x+3y)
First step: expand this - (2x+3y)(2x+3y)
(2x+3y)(2x+3y)
4x2 + 6xy + 6xy + 9y2
Then simplify:
4x2 + 12xy + 9y2

Now expand this - (x-4)(4x2 + 12xy + 9y2)
(x - 4)(4x2 + 12xy + 9y2)
4x3 + 12x2y + 9xy2 - 16x2 - 48xy - 36y2

Question 24(a): Write root(12.25) as an improper fraction[2 marks]
Answer: 7/2 ( root(49/4) )

Question 24(b): Write cubic_root(16) as power of 2 (2^x)[2 marks]
Answer: 2(4/3)

Question 28: What is the volume of the water in terms of pi?[4 marks]
Answer: 117pi

Question 29: Simplify this (sin and tan question)[4 marks]
Answer: ( root(6) - root(3) ) / 12
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TamirS
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Any corrections? I am open for these and I know it is not final yet as i missed 6 questions and i am not sure of some... Reply and help me finish this!
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Tom2400
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(Original post by TamirS)
I know there has been 29 questions in this paper, so i am asking you to help me finish this. That's all I got so far

OK, So i was reviewing the official thread and I would like other people to have the chance to see a better designed unofficial markscheme for the AQA Maths - Unit 1 (Higher) 2017 paper and there it is...

*NOTE* - I am not sure of the question numbers, but the order of the questions is pretty much correct. Please do reply if you have any comments or if you want to add or correct the markscheme

Question 1: Simplify 2^3 x 2^5
Answer: 2^8

Question 2: Congruent triangles
Answer: ASA (Angle-Side-Angle)

Question 3: Which of the given sequences is a geometric sequence?
Answer: third answer - x,12,54,x,x (can't fully remember)

Question 4: The ratio of a:b is 3:4; How would you represent b in terms of a?
Answer: b is 3/4 of a (fourth answer)

Question 5: Factorise and simplify 36
Answer: 2^2 x 3^2
Reason:



36
/ \
/ \
12 3
/ \
4 3
/ \
2 2



Question 6(a): What is the gradient of the line between the points (-2,-5) and (-4,-9)?
Answer: The gradient is 2.
Reason:



-5 - (-9) = -5 + 9 = 4 = 2
-2 - (-4) = -2 + 4 = 2



Question 6(b): Is the line going through the point (601,-301)?
Answer: Yes.

Question 7: Is reflection the only single transformation that can be used to make rectangle A fit rectangle B?
Answer: No, translation can also be used.

Question 8: You are given this equation: 8x km/h = 5y mph. Express y in terms of x.
Answer: y = 1.6x

Question 9: Write six million five thousand and two hundred in standard form.
Answer: 6.0052 x 10^6

Question 10: What is the cheapest way to buy 8 bottles? You may split it between the three shops.
Shop A: Buy 1; Get 2 for half the price
Shop B: Buy 2; Get 3 for half the price
Shop C: Get 30% off for each bottle.
The Initial price is the same between the shop and is up to your decision (NOT STATED IN THE QUESTION)
Answer: 6 bottles from shop A (2 x 3 bottles) and 2 bottles from shop C

Question 11: A circle has been fitted to a square with the area of 64cm^2; What is the area of the circle in terms of pi?
Answer: 16pi
Reason:




area of 64cm^2 means the square has sides of 8 cm - the diameter of the circle.
Area of circle - pi x r^2 = pi x 4^2 = pi x 16 = 16pi




Question 12: Vectors (what was the question?)
Answer: Second option (what was it?)

Question 13: Solve the simultaneous equation: (2x+y=18) and (x-y=6).
Answer: x=8, y=2
Reason:




2x+y=18
2x-2y=12 (double this)
then substract the second from the first equation.

3y = 6 therefore y=2

Apply the y in any equation:
2x + 2 = 18
2x = 16
x = 8




Question 14: Cumulative frequency - what was the minimum marks for the top 20%?
Answer: 53 marks

Question 15: Acceleration (what was it?)
Answer: 6 seconds

Question 16: Distance (what was it?)
Answer: 300m

Question 17(a): True / False question (remind me please?)
Answer: False, False, True

Question 17(b): True / False question (remind me please?)
Answer: True, True, False

Question 18: What is the diameter of the circle x^2 + y^2 = 64?
Answer: 16

Question 19: Calculate the tangent to the circle equation in the form of y = mx + c
Answer: y= 1/4 x + 4 & 1/4

Question 20: What will be the total price for the tickets?
Answer: £94.64
Reason:




price before any fees: £80
add 10% booking fee: £80 + £8 = £88
add another 3%: £88 x 1.03 = £90.64




Question 21: How many people are there in the office?
Answer: 288
Reason:




m = 2f (there are twice more female then male)
1/4 female wear glasses; 3/8 male wear glasses.
there are x people who wear glasses.
*forgot what i did then sorry...*




Question 22: What is the volume of the water in terms of pi?
Answer: 117pi

Question 23: Simplify this (sin and tan question)
Answer: ( root(6) - root(3) ) / 12
I'm pretty sure the ones you called 22 and 23 are actually 28 and 29.
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TamirS
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(Original post by Tom2400)
I'm pretty sure the ones you called 22 and 23 are actually 28 and 29.
Yeah i know i just didnt want to interrupt my counting.. Any suggestions what are the questions i missed?
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Tom2400
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Also, there's a typo on 21- you should have wrote £90. instead of £94.
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nathanpearce
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You missed the enlargement of .5 about (6,0) cannot remember the question number
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Tom2400
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Also, i think question 14 should be 73 instead of 53
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Tom2400
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You missed the multiple choice one with similar triangles where it was Q?/??.

Can't remember the question number or answer though
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nathanpearce
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(Original post by Tom2400)
You missed the multiple choice one with similar triangles where it was Q?/??.

Can't remember the question number or answer though
The answer to this one was the top right one. I also agree it should be 70-75
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TamirS
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(Original post by Tom2400)
Also, there's a typo on 21- you should have wrote £90. instead of £94.
My bad

(Original post by nathanpearce)
You missed the enlargement of .5 about (6,0) cannot remember the question number
I cant remember anything like this.. although there was a question where you had to enlarge by -2.. is that it?

(Original post by Tom2400)
Also, i think question 14 should be 73 instead of 53
Its an estimate so it could vary. My answer was 75, but in the official thread someone wrote it was 53 so i guessed i was wrong I will fix it to any value between 70-80 as its an estimate

(Original post by Tom2400)
You missed the multiple choice one with similar triangles where it was Q?/??.
Can't remember the question number or answer though
Again, as its from the official thread, i think thats what they meant by the vectors? if you agree with it then i will rephrase it.

(Original post by nathanpearce)
The answer to this one was the top right one.
What would you say about my answer to the quote above yours? is it that?
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Qwertyuiopqwerty
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There was an enlargement of the triangle question, S.F -2 through point (-1,0)
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TamirS
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(Original post by Qwertyuiopqwerty)
There was an enlargement of the triangle question, S.F -2 through point (-1,0)
Will be added right now
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Qwertyuiopqwerty
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(Original post by Qwertyuiopqwerty)
There was an enlargement of the triangle question, S.F -2 through point (-1,0)
There was also the expanding the three brackets of (x-4)(2x+3y)^2
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TamirS
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(Original post by Qwertyuiopqwerty)
There was also the expanding the three brackets of (x-4)(2x+3y)^2
That's right I actually did it right!! how did i forget? I will add it with explanation of how to solve it!
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Mb.xo
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Heyy, I was wondering if anyone had an idea of what the grade boundaries will be like. I've heard rumours that about 33% will be a pass (and I know this is wayy too low). What are you guys thinking?
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nathanpearce
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(Original post by Mb.xo)
Heyy, I was wondering if anyone had an idea of what the grade boundaries will be like. I've heard rumours that about 33% will be a pass (and I know this is wayy too low). What are you guys thinking?
Boundaries will be very close together and i would say 35 marks for pass.
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TamirS
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(Original post by Mb.xo)
There was one question about the office workers (sorry I don't know the exact question) but it referred to there being twice as many females as males, 1/4 of the females wearing glasses and 3/8 of the males wearing glasses. I think there was a total of 84 (or something along those lines) workers wearing glasses and it asked you to find out how many workers there were altogether.
look at question 21
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Mb.xo
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There was one that was written as the cube root of 16 and it told you to write it as a power
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alxclinkett
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aqa maths is hard thank god I did edexcel (easy)
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TamirS
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(Original post by Mb.xo)
There was one that was written as the cube root of 16 and it told you to write it as a power
That's right will be added!
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