Exam (elaborations)
markscheme for as pure set a paper 1
- Module
- Markscheme
- Institution
- PEARSON (PEARSON)
It is designed according to a level 2015 specification. it is an As exam paper and all pure mathematics topics are covered
[Show more]
Connected book
Book Title:
Author(s):
- Edition:
- ISBN:
- Edition:
Content preview
2 hours AS level Mathematics Edexcel100 marks Paper 1 (Set A)
Q Answer Mark Comments
1
1 Gradient = B1
2
1
y 7 x 4 M1 Substituting “their” value for the gradient
2
into the equation y y1 m( x x1 )
1
y x9 A1 Equation correct, in this or equivalent form
2
2 Stretch; B1
Parallel to y-axis; B1 Accept ‘vertical stretch’
Scale factor 2 B1
2 x 23
3 x 1
3 a B1
x 3(3x 1) M1 Attempt at an equation in x using index
laws or taking logs on both sides
3
x A1
8
x x2 1
b log 1 or log x 2log x log x M1 Apply either
2 2
x ab
log a log b log c log or
c
log a k log a for each term
k
5 5
log x 2 or log x M1 Use laws of indices or
2 collect up like terms (this scores both M1
& A1 marks)
5
Apply log a k log a and express as
k
log x A1
2
single logarithm in log x
© Oxford University Press 2017
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements AS level Mathematics Paper 1 (Set A)
, 4 Gradient PR × Gradient QR 1 M1 Use of m1 m2 1 for perpendicular lines
4 3 k A1
1 k 7
8 2
PQ is the diameter of the circle, since
angle subtended at circumference is 90°
Centre of circle is at
midpoint of PQ: (2, 3)
B1 Correct deduction; leading to correct
r 5 2 7 3
2 2 2
method to find radius
r 5
Area of circle: r 2 25 M1 Correctly calculating the radius
A1 Accept 78.5
dy
5 2x 3 M1 Attempt at differentiating equation of C
dx
A1 Gradient of tangent at x 2
At x 2 , m = 2(2) – 3 =1
B1 Evaluate y at x 2
M1 Use of equation of straight line
y 0 at x 2
A1
y x2
6 1 cos x 3cos x 2 0
2 M1 Use of identity
cos2 x 3cos x 3 0
M1 Find solutions for cos 𝑥
3 32 4(1)(3) 3 21
cos x
2 2 A1
cos x 0.7913 or –3.7913 (reject)
M1 Subtract first solution from 360° or other
method to find second solution
x = 37.7° A1 Both correct
or 322.3°
7 a 18 + 8C1(1)7(2x)1 + 8C2(1)6(2x)2 +
8 M1 Uses binomial theorem to expand bracket
C3(1)5(2x)3
1 + 16x + 112x2 + 448x3 A1 1 + 16x
A1 Completely correct
b 1 + 16(0.01) + 112(0.01)2 + 448(0.01)3 B1 Selects x 0.01
M1 Substitute chosen value of x into a
1.171648
A1
© Oxford University Press 2017
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements AS level Mathematics Paper 1 (Set A)
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller peterstephanie. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £7.99. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
64438 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now