Mathematics > As Level Question Papers > Wednesday 13 October 2021 – Afternoon AS Level Mathematics A H230/02 Pure Mathematics and Mechanic (All)

Wednesday 13 October 2021 – Afternoon AS Level Mathematics A H230/02 Pure Mathematics and Mechanics. 100% proven passing rate.

Document Content and Description Below

Formulae AS Level Mathematics A (H230) Binomial series a b n a a n nC C n n b an n b a C b b r n r r n 1 1 2 2 2 ^ + = h + + - - + + f f - + + ^n ! Nh, where C ! ! n ! r r n r n nC r ... n r = = = c m ^ - h Differentiation from first principles x lim h x h x f f f h 0 = + - " l^ h ^ ^ h h Standard deviation n x x xn x 2 2 - 2 = - /^ h / or f f x x f fx x 2 2 - 2 = - ^ h / / // The binomial distribution If X n + B^ , ph then X x n x P^ = = h c mp p x^1- hn x - , mean of X is np, variance of X is np^1-ph Kinematics v u = +at s ut at 12 2 = + s u v t 12 = + ^ h v u 2 2 = +2as s vt at 12 2 = -3 © OCR 2021 H230/02 Oct21 Turn over Section A: Pure Mathematics Answer all the questions. 1 Given that ( ) x-2 is a factor of 2 4 x k 3 + - x , find the value of the constant k. [2] 2 y R x O 2 –4 4 The diagram shows the line y x = -2 4 + and the curve y x = - 2 4. The region R is the unshaded region together with its boundaries. Write down the inequalities that define R. [3] 3 Sam invested in a shares scheme. The value, £V, of Sam’s shares was reported t months after investment. • Exactly 6 months after investment, the value of Sam’s shares was £2375. • Exactly 1 year after investment, the value of Sam’s shares was £2825. (a) Using a straight-line model, determine an equation for V in terms of t. [3] Sam’s original investment in the scheme was £1900. (b) Explain whether or not this fact supports the use of the straight-line model in part (a). [2]4 © OCR 2021 H230/02 Oct21 4 The quadratic polynomial 2 3 x2 - is denoted by f(x). Use differentiation from first principles to determine the value of f′(2). [5] 5 (a) Show that the equation 2 3 cos t x x an2 = + ( ) 1 cos x can be expressed in the form 5 3 cos c 2x x + - os 2 0 = . [3] (b) In this question you must show detailed reasoning. Hence solve the equation 2 3 cos t i i an23 3 = + ( ) 1 3 cos i , giving all values of i between 0° and 120°, correct to 1 decimal place where appropriate. [6] 6 A curve C has an equation which satisfies y x 3 2 x d d 2 2 2 = + , for all values of x. (a) It is given that C has a single stationary point. Determine the nature of this stationary point. [1] The diagram shows the graph of the gradient function for C. x –1 O dydx 3 (b) Given that C passes through the point ( , -1 4 1), find the equation of C in the form y x = f( ). [5 [Show More]

Last updated: 1 year ago

Preview 1 out of 12 pages

Reviews( 0 )

Recommended For You

 Mathematics> As Level Question Papers > OCR Tuesday 19 October 2021 – Afternoon A Level Further Mathematics A Y543/01 Mechanics (All)

preview
OCR Tuesday 19 October 2021 – Afternoon A Level Further Mathematics A Y543/01 Mechanics

Answer all the questions. 1 One end of a light elastic string of natural length 0.6m and modulus of elasticity 24N is attached to a fixed point O. The other end is attached to a particle P of mass 0...

By SupremeDocs , Uploaded: Jun 29, 2022

$11

 Mathematics> As Level Question Papers > OCR Tuesday 19 October 2021 – Afternoon A Level Further Mathematics A Y543/01 Mechanics (All)

preview
OCR Tuesday 19 October 2021 – Afternoon A Level Further Mathematics A Y543/01 Mechanics

Answer all the questions. 1 One end of a light elastic string of natural length 0.6m and modulus of elasticity 24N is attached to a fixed point O. The other end is attached to a particle P of mass 0...

By SupremeDocs , Uploaded: Jun 29, 2022

$11

 Mathematics> As Level Question Papers > OCR Tuesday 19 October 2021 – Afternoon A Level Further Mathematics A Y543/01 Mechanics (All)

preview
OCR Tuesday 19 October 2021 – Afternoon A Level Further Mathematics A Y543/01 Mechanics

Answer all the questions. 1 One end of a light elastic string of natural length 0.6m and modulus of elasticity 24N is attached to a fixed point O. The other end is attached to a particle P of mass 0...

By SupremeDocs , Uploaded: Jun 29, 2022

$11

 Mathematics> As Level Question Papers > OCR Thursday 14 October 2021 – Afternoon A Level Further Mathematics A Y542/01 Statistics (All)

preview
OCR Thursday 14 October 2021 – Afternoon A Level Further Mathematics A Y542/01 Statistics

Answer all the questions. 1 At a seaside resort the number X of ice-creams sold and the temperature Y  °F were recorded on 20 randomly chosen summer days. The data can be summarised as follows. /x...

By SupremeDocs , Uploaded: Jun 29, 2022

$11

 History> As Level Question Papers > Friday 15 October 2021 – Afternoon A Level History A Y221/01 Democracy and Dictatorships in Germany 1919–1963 (All)

preview
Friday 15 October 2021 – Afternoon A Level History A Y221/01 Democracy and Dictatorships in Germany 1919–1963

Answer EITHER all of Question 1 OR all of Question 2. 1 (a) Which of the following was a more significant reason for Hitler’s appointment as Chancellor in 1933? (i) The popular appeal of Nazism (i...

By SupremeDocs , Uploaded: Jun 28, 2022

$3

 Mathematics> As Level Question Papers > OCR Thursday 21 October 2021 – Afternoon A Level Further Mathematics A Y544/01 Discrete Mathematics (All)

preview
OCR Thursday 21 October 2021 – Afternoon A Level Further Mathematics A Y544/01 Discrete Mathematics

Answer all the questions. 1 Sam is packing for a holiday. The table shows the mass of each item to be packed. Item A B C D E F G H Mass (kg) 3 4 3.5 2.5 6 7.5 8 5 Sam’s bags can each carry 10kg, b...

By SupremeDocs , Uploaded: Jun 29, 2022

$11

 Physics> As Level Question Papers > >- Thursday 14 October 2021 – Morning AS Level Physics A H156/02 Depth in physics (All)

preview
>- Thursday 14 October 2021 – Morning AS Level Physics A H156/02 Depth in physics

OCR Thursday 14 October 2021 – Morning AS Level Physics A H156/02 Depth in physics

By markstudys , Uploaded: Jul 01, 2022

$7

 Mathematics> As Level Question Papers > > AS Level Mathematics A H230/02: Pure Mathematics and Mechanics QUESTION PAPER - October 2021 (All)

preview
> AS Level Mathematics A H230/02: Pure Mathematics and Mechanics QUESTION PAPER - October 2021

OCR AS Level Mathematics A H230/02 Pure Mathematics and Mechanics QUESTION PAPER - October 2021/ OCR AS Level Mathematics A H230/02 Pure Mathematics and Mechanics QUESTION PAPER - October 2021/ OCR AS...

By Senpai , Uploaded: Jun 29, 2022

$4.5

 Mathematics> As Level Question Papers > > A Level Mathematics A H240/03: Pure Mathematics and Mechanics QUESTION PAPER - October 2021 (All)

preview
> A Level Mathematics A H240/03: Pure Mathematics and Mechanics QUESTION PAPER - October 2021

OCR A Level Mathematics A H240/03: Pure Mathematics and Mechanics QUESTION PAPER - October 2021/ OCR A Level Mathematics A H240/03: Pure Mathematics and Mechanics QUESTION PAPER - October 2021/ OCR A...

By Senpai , Uploaded: Jun 29, 2022

$4.5

 Mathematics> As Level Question Papers > OCR AS Level Mathematics A H230/01 Pure Mathematics and Statistics QUESTION PAPER - October 2021 (All)

preview
OCR AS Level Mathematics A H230/01 Pure Mathematics and Statistics QUESTION PAPER - October 2021

OCR AS Level Mathematics A H230/01 Pure Mathematics and Statistics QUESTION PAPER - October 2021/ OCR AS Level Mathematics A H230/01 Pure Mathematics and Statistics QUESTION PAPER - October 2021/ OCR...

By Senpai , Uploaded: Jun 29, 2022

$4.5

$12.00

Add to cart

Instant download

Can't find what you want? Try our AI powered Search

OR

GET ASSIGNMENT HELP
78
0

Document information


Connected school, study & course



About the document


Uploaded On

Jun 28, 2022

Number of pages

12

Written in

Seller


seller-icon
SupremeDocs

Member since 2 years

23 Documents Sold


Additional information

This document has been written for:

Uploaded

Jun 28, 2022

Downloads

 0

Views

 78

Document Keyword Tags

THE BEST STUDY GUIDES

Avoid resits and achieve higher grades with the best study guides, textbook notes, and class notes written by your fellow students

custom preview

Avoid examination resits

Your fellow students know the appropriate material to use to deliver high quality content. With this great service and assistance from fellow students, you can become well prepared and avoid having to resits exams.

custom preview

Get the best grades

Your fellow student knows the best materials to research on and use. This guarantee you the best grades in your examination. Your fellow students use high quality materials, textbooks and notes to ensure high quality

custom preview

Earn from your notes

Get paid by selling your notes and study materials to other students. Earn alot of cash and help other students in study by providing them with appropriate and high quality study materials.


$12.00

WHAT STUDENTS SAY ABOUT US


What is Browsegrades

In Browsegrades, a student can earn by offering help to other student. Students can help other students with materials by upploading their notes and earn money.

We are here to help

We're available through e-mail, Twitter, Facebook, and live chat.
 FAQ
 Questions? Leave a message!

Follow us on
 Twitter

Copyright © Browsegrades · High quality services·