Exam (elaborations)
A level Mathematics Practice Paper E - Pure Mathematics Without Mark scheme
- Course
- Institution
A level Mathematics Practice Paper E - Pure Mathematics Without Mark scheme
[Show more]
Seller
Follow
excellentnotes
Reviews received
Content preview
Pearson Edexcel Level 3GCE Mathematics
Advanced Level
Paper 1 or 2: Pure Mathematics
Practice Paper Paper Reference(s)
E Time: 2 hours 9MA0/01 or 9MA0/02
You must have:
Mathematical Formulae and Statistical Tables, calculator
Candidates may use any calculator permitted by Pearson regulations. Calculators must not
have the facility for algebraic manipulation, differentiation and integration, or have
retrievable mathematical formulae stored in them.
Instructions
• Use black ink or ball-point pen.
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Answer all questions and ensure that your answers to parts of questions are
clearly labelled.
• Answer the questions in the spaces provided – there may be more space than you need.
• You should show sufficient working to make your methods clear. Answers without
working may not gain full credit.
• Inexact answers should be given to three significant figures unless otherwise stated.
Information
• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• There are 14 questions in this paper. The total mark is 100.
• The marks for each question are shown in brackets – use this as a guide as to how
much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.
• Try to answer every question.
• Check your answers if you have time at the end.
• If you change your mind about an answer, cross it out and put your new answer and
any working underneath.
, Answer ALL questions.
n(n+1)
1+ 2 + 3 +... + nº
1. Prove by exhaustion that 2 for positive integers from 1 to 6
inclusive. (3 marks)
1+ sin𝜃 + tan 2𝜃 1
2. (a) When θ is small, show that the equation 2cos3𝜃 - 1 can be written as 1- 3𝜃 .
(4 marks)
(b) Hence write down the value of
1+ sin𝜃 + tan 2𝜃
2cos3𝜃 - 1 when θ is small.
(1 mark)
3. A stone is thrown from the top of a building. The path of the stone can be modelled using the parametric
2
y =8t - 4.9t +10
equations x =10t , , t 0, where x is the horizontal distance from the building in metres
and y is the vertical height of the stone above the level ground in metres.
(a) Find the horizontal distance the stone travels before hitting the ground.
(4 marks)
(b) Find the greatest vertical height.
(5 marks)
x =sec 4 y
4. Given that , find
(a)
dy
dx in terms of y. (2 marks)
dy k
=
dx x , where k is a constant which should be found.
(b) Show that
x2 - (3 marks)
1
5
f x = 6 + 32 - 7 x2
x x
5.
f x dx
(a) Find ∫
. (3 marks)
9
f x dx
(b) Evaluate ∫ 4 , giving your answer in the form
numbers.
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 or Stuvia-credit 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 excellentnotes. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $7.10. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
52510 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now