Paper collated from year 2007 Content Pure Chapters 1-13 Marks 100 Time 2 hours
|
|
- Dorothy Norman
- 5 years ago
- Views:
Transcription
1 1. Paper collated from year 2007 Content Pure Chapters 1-13 Marks 100 Time 2 hours
2
3 7. 8.
4
5 9.
6
7
8 Mark scheme Question 1 Question 2 Question 3 Question 4
9 Question 5 Question 6 Question 7
10 Question 8 Question 9 Question 10
11 Question 11 Question 12 Question 13 Question 14
12 Paper collated from year 2008 Content Pure Chapters 1-13 Marks 100 Time 2 hours 1. Find the equation of the line passing through A( 1, 1) and B (3, 9). MEI C1 June 2008 Q-12(i) [3] 2. The curve with equation y = x 3 7x 6 is sketched below. [3] Find the gradient of the curve y = x 3 7x 6 at the point B(-1, 0). AQA C1 January 2008 Q-6 (iv) 3. The polynomial p(x) is given by p(x) = x 3 + x 2 8x 12. (a) Use the Factor Theorem to show that x + 2 is a factor of p(x). [2] (b) Express p(x) as the product of linear factors. [2] (c) Sketch the graph of y = x 3 + x 2 8x 12, indicating the values of x where the curve touches or crosses the x-axis. AQA C1 June 2008 Q-6 [3] 4. (a) [4] (b) [3] Edexcel C2 January 2008 Q-3 5. Given that point A has the position vector 4i + 7j and point B has the position vector 10i + qj, where q is a constant, given that AB = 2 13, find the two possible values of q showing detailed reasoning in your working. 6. The quadratic equation (k + 1)x 2 + 4kx + 9 = 0 has real roots. Unit Test 5: Vectors Q-5 (a) Show that 4k 2 9k 9 0. [3] (b) Hence find the possible values of k. Write your answer using set notation. AQA C1 June 2008 Q-8 [5] [4] 7. Differentiate 6x from first principles with respect to x. crashmaths practice paper1 SetB Q-5 [4]
13 8. The diagram shows a triangle ABC. The length of AC is 18.7 cm, and the sizes of angles BAC and ABC are 72 and 50 respectively. (a) Show that the length of BC = 23.2 cm, correct to the nearest 0.1 cm. [3] (b) Calculate the area of triangle ABC, giving your answer to the nearest cm 2. AQA C2 January 2008 Q-3 [3] 9. A curve, drawn from the origin O, crosses the x-axis at the point P(4, 0). The normal to the curve at P meets the y-axis at the point Q, as shown in the diagram. The curve, defined for x 0, has equation (a) (i) Find dy (b) y = 4x 1 2 x 3 2 dx. [3] (ii) Find an equation of the normal to the curve at P (4, 0) [3] (i) (ii) Find 4x 1 2 x 3 2 dx Find the total area of the region bounded by the curve and the lines PQ and QO. AQA C2 January 2008 Q (a) Sketch the graph of y = 3 x, stating the coordinates of the point where the graph crosses the y-axis (b) Describe a single geometrical transformation that maps the graph of y = 3 x : onto the graph of y = 3 x+1 (c) (i) Using the substitution Y = 3 x, show that the equation 9 x 3 x = 0 can be written as (Y 1)(Y 2) = 0 (ii) Hence show that the equation 9 x 3 x = 0 has a solution x = 0 and, by using logarithms, find the other solution, giving your answer to four decimal places. AQA C2 January 2008 Q-8 [3] [3] [2] [2] [2] [2]
14 11. Figure shows an open-topped water tank, in the shape of a cuboid, which is made of sheet metal. The base of the tank is a rectangle x metres by y metres. The height of the tank is x metres. The capacity of the tank is 100 m 3. (a) [4] (b) Use calculus to find the value of x for which A is stationary. [4] (c) Prove that this value of x gives a minimum value of A. [2] Edexcel C2 January 2008 Q (a) [2] (b) [3] Edexcel C2 January 2008 Q Use a counterexample to show that if n is an integer, n is not necessarily prime. crashmaths practice paper1 SetB Q-10 [2]
15 14. The circle S has centre C(8, 13), and touches the x-axis, as shown in the diagram. 15. (a) (b) Write down an equation for S, giving your answer in the form (x a) 2 + (y b) 2 = r 2 The point P with coordinates (3, 1) lies on the circle. (i) Find the gradient of the straight line passing through P and C. [1] (ii) (iii) Hence find an equation of the tangent to the circle S at the point P, giving your answer in the form ax + by = c, where a, b and c are integers. The point Q also lies on the circle S, and the length of PQ is 10. Calculate the shortest distance from C to the chord PQ. AQA C1 June 2008 Q-7 [2] [4] [3] MEI C2 June 2008 Q-13
16 Insert for Q-15
17 Mark scheme
18
19
20
21 Paper collated from year 2010 Content Pure Chapters 1-13 Marks 103 Time 2 hours
22 4. 6.
23
24
25 11 13
26 Mark scheme
27 4
28 6
29
30 11
31 13
32 Paper collated from year 2011 Content Pure Chapters 1-13 Marks 100 Time 2 hours
33
34 5. 6.
35
36
37
38 Mark scheme
39
40 6.
41
42
43 12. 13
44 Paper collated from year 2012 Content Pure Chapters 1-13 Marks 100 Time 2 hours Q1. Q2. Q3.
45 Q4. Q5.
46 Q6. Q7.
47 Q8.
48 Q9.
49 Q10.
50 Q11. Q12.
51 Q13.
52 Mark scheme Q1. Problem Solving Q2. Surds Indices
53 Q3. Quadratic functions Q4. Equations and Inequalities
54 Q5. Coordinate Geometry
55 Q6. Coordinate Geometry
56 Q7. Polynomials
57 Q8. Graphs &Transformations Q9. The binomial expansion
58 Q10. Differentiation Q11. Integration
59 Q12. Vectors Q13. Logs and Exponentials
60 Paper collated from year 2014 Content Pure Chapters 1-13 Marks 100 Time 2 hours Q1. Factorise fully 25x 9x 3 Q2. (3) Solve the equation 10 + x 8 = Give your answer in the form a b where a and b are integers. (4) Q3. (a) Write 80 in the form c 5, where c is a positive constant. A rectangle R has a length of (1 + 5) cm and an area of 80 cm 2. (1) (b) Calculate the width of R in cm. Express your answer in the form p + q 5, where p and q are integers to be found. (4) Q4. Find the set of values of x for which (a) 3x 7 > 3 x (b) x 2 9x 36 (c) both 3x 7 > 3 x and x 2 9x 36 (2) (4) (1) Q5. f(x) = 2x 3 7x 2 + 4x + 4 (a) Use the factor theorem to show that (x 2) is a factor of f(x). (b) Factorise f(x) completely. (2) (4)
61 Q6. Figure 1 Figure 1 shows a sketch of the curve C with equation y = 1 x + 1, x 0 The curve C crosses the x-axis at the point A. (a) State the x coordinate of the point A. The curve D has equation y = x 2 (x 2), for all real values of x. (b) Add a sketch a graph of curve D to Figure 1. Show on the sketch the coordinates of each point where the curve D crosses the coordinate axes. (c) Using your sketch, state, giving a reason, the number of real solutions to the equation x 2 (x 2) = 1 x + 1. (1) (3) (1)
62 Q7. Figure 2 Figure 2 shows a right angled triangle LMN. The points L and M have coordinates ( 1, 2) and (7, 4) respectively. (a) Find an equation for the straight line passing through the points L and M. Give your answer in the form ax + by + c = 0, where a, b and c are integers. Given that the coordinates of point N are (16, p), where p is a constant, and angle LMN = 90, (b) find the value of p. Given that there is a point K such that the points L, M, N, and K form a rectangle, (c) find the y coordinate of K. (4) (3) (2)
63 Q8. The circle C, with centre A, passes through the point P with coordinates ( 9, 8) and the point Q with coordinates (15, 10). Given that PQ is a diameter of the circle C, (a) find the coordinates of A, (b) find an equation for C. A point R also lies on the circle C. Given that the length of the chord PR is 20 units, (c) find the length of the shortest distance from A to the chord PR. Give your answer as a surd in its simplest form. (d) Find the size of the angle ARQ, giving your answer to the nearest 0.1 of a degree. (2) (3) (2) (2) Q9. Differentiate with respect to x, giving each answer in its simplest form. (a) (1 2x) 2 (3) (b) (4)
64 Q10. Figure 4 Figure 4 shows the plan of a pool. The shape of the pool ABCDEFA consists of a rectangle BCEF joined to an equilateral triangle BFA and a semi-circle CDE, as shown in Figure 4. Given that AB = x metres, EF = y metres, and the area of the pool is 50 m 2, (a) show that (b) Hence show that the perimeter, P metres, of the pool is given by (3) (c) Use calculus to find the minimum value of P, giving your answer to 3 significant figures. (d) Justify, by further differentiation, that the value of P that you have found is a minimum. (3) (5) (2)
65 Q11. Use integration to find giving your answer in the form a + b 3, where a and b are constants to be determined. (5) Q12. Figure 3 Figure 3 shows a sketch of part of the curve C with equation The curve C has a maximum turning point at the point A and a minimum turning point at the origin O. The line l touches the curve C at the point A and cuts the curve C at the point B. The x coordinate of A is 4 and the x coordinate of B is 2. The finite region R, shown shaded in Figure 3, is bounded by the curve C and the line l. Use integration to find the area of the finite region R. (7)
66 Q13. (i) Solve, for 0 θ < 360, the equation giving your answers to 1 decimal place. You must show each step of your working. (ii) Solve, for π x < π, the equation 9sin(θ + 60 ) = 4 (4) 2tan x 3sin x = 0 giving your answers to 2 decimal places where appropriate. [Solutions based entirely on graphical or numerical methods are not acceptable.] Q14. A rare species of primrose is being studied. The population, P, of primroses at time t years after the study started is modelled by the equation (5) P = t 0, t (a) Calculate the number of primroses at the start of the study. (b) Find the exact value of t when P = 250, giving your answer in the form a ln(b) where a and b are integers. Q15. (2) (4) Find the exact solution, in its simplest form, to the equation 2 ln (2x + 1) 10 = 0 (2) Q16. Relative to a fixed origin O, the point A has position vector and the point B has position vector The line l 1 passes through the points A and B. (a) Find the vector. Q17 Calculate the derivative of g(x)=2x 3 from first principles. (2) (4)
67 Mark scheme Q1. Q2.
68 Q3. Q4.
69 Q5.
70 Q6. Q7.
71 Q8.
72 Q9.
73 Q10.
74 Q11.
75 Q12.
76
77 Q13.
78 Q14. Q15. Q16. 1 ( 1) 1
79 Q17. M1 M1 M1 A1dep
80 Paper collated from year 2015 Content Marks 100 Time Pure Chapters hours 4.
81
82
83 Differentiate f(x) = 8x from first principles. (4)
84 Mark scheme
85 2.
86 4.
87
88 5(a)
89 6
90 7
91 8(a) 8a
92 9 10
93 12 11
94 13 14 f f(x+h) f(x) (x) = lim h 0 h (1) States the formula for differentiation from first principles. f (x) = lim 8(x+h)3 +5 (8x3 +5) h 0 h f (x) = lim 8(x3 +3x2h+3xh2 +h3 )+5 8x3 5) h 0 h f (x) = lim (24x2h+24xh2 +8h3 ) h 0 h f (x) = lim h(24x2 +24xh+8h2 ) h 0 h f (x) = lim h 0 24x xh + 8h 2 (1) (1) Factorises the h out of the numerator and divides to simplify. Correctly applies the formula to the specific function and expands and simplifies. As h 0, f (x) 24x 2 (1)
95
Core Mathematics C2 (R) Advanced Subsidiary
Paper Reference(s) 6664/01R Edexcel GCE Core Mathematics C2 (R) Advanced Subsidiary Thursday 22 May 2014 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical Formulae (Pink)
More informationPossible C2 questions from past papers P1 P3
Possible C2 questions from past papers P1 P3 Source of the original question is given in brackets, e.g. [P1 January 2001 Question 1]; a question which has been edited is indicated with an asterisk, e.g.
More informationCore Mathematics C2. You must have: Mathematical Formulae and Statistical Tables (Pink)
Write your name here Surname Other names Pearson Edexcel GCE Centre Number Core Mathematics C2 Advanced Subsidiary Candidate Number Wednesday 25 May 2016 Morning Time: 1 hour 30 minutes You must have:
More informationDEPARTMENT OF MATHEMATICS
DEPARTMENT OF MATHEMATICS AS level Mathematics Core mathematics 2 - C2 2015-2016 Name: Page C2 workbook contents Algebra Differentiation Integration Coordinate Geometry Logarithms Geometric series Series
More informationMATHEMATICS AS/P1/D17 AS PAPER 1
Surname Other Names Candidate Signature Centre Number Candidate Number Examiner Comments Total Marks MATHEMATICS AS PAPER 1 December Mock Exam (Edexcel Version) CM Time allowed: 2 hours Instructions to
More informationPearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics (8MA0) Pearson Edexcel Level 3 Advanced GCE in Mathematics (9MA0)
Pearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics (8MA0) Pearson Edexcel Level 3 Advanced GCE in Mathematics (9MA0) First teaching from September 2017 First certification from June 2018 2
More informationCore Mathematics C12
Write your name here Surname Other names Pearson Edexcel International Advanced Level Centre Number Candidate Number Core Mathematics C12 Advanced Subsidiary Tuesday 10 January 2017 Morning Time: 2 hours
More informationCandidates are expected to have available a calculator. Only division by (x + a) or (x a) will be required.
Revision Checklist Unit C2: Core Mathematics 2 Unit description Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation;
More informationTime: 1 hour 30 minutes
Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C Silver Level S4 Time: 1 hour 0 minutes Materials required for examination Mathematical Formulae (Green) Items included with question papers Nil
More informationMATHEMATICS A2/M/P1 A LEVEL PAPER 1
Surname Other Names Candidate Signature Centre Number Candidate Number Examiner Comments Total Marks MATHEMATICS A LEVEL PAPER 1 Bronze Set A (Edexcel Version) CM Time allowed: 2 hours Instructions to
More informationAS PURE MATHS REVISION NOTES
AS PURE MATHS REVISION NOTES 1 SURDS A root such as 3 that cannot be written exactly as a fraction is IRRATIONAL An expression that involves irrational roots is in SURD FORM e.g. 2 3 3 + 2 and 3-2 are
More informationCore Mathematics C12
Write your name here Surname Other names Pearson Edexcel International Advanced Level Centre Number Candidate Number Core Mathematics C12 Advanced Subsidiary Tuesday 12 January 2016 Morning Time: 2 hours
More informationCore Mathematics C12
Write your name here Surname Other names Pearson Edexcel International Advanced Level Centre Number Candidate Number Core Mathematics C12 Advanced Subsidiary Tuesday 12 January 2016 Morning Time: 2 hours
More informationLearning Objectives These show clearly the purpose and extent of coverage for each topic.
Preface This book is prepared for students embarking on the study of Additional Mathematics. Topical Approach Examinable topics for Upper Secondary Mathematics are discussed in detail so students can focus
More informationPhysicsAndMathsTutor.com. Centre No. Candidate No. Core Mathematics C2 Advanced Subsidiary Mock Paper. Time: 1 hour 30 minutes
Paper Reference (complete below) 6 6 6 4 / 0 1 PhysicsAndMathsTutor.com Centre No. Candidate No. Surname Signature Initial(s) Paper Reference(s) 6664 Edexcel GCE Core Mathematics C2 Advanced Subsidiary
More informationPaper Reference. Core Mathematics C2 Advanced Subsidiary. Wednesday 19 January 2005 Morning Time: 1 hour 30 minutes. Mathematical Formulae (Green)
Centre No. Candidate No. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Wednesday 19 January 2005 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical
More informationBook 4. June 2013 June 2014 June Name :
Book 4 June 2013 June 2014 June 2015 Name : June 2013 1. Given that 4 3 2 2 ax bx c 2 2 3x 2x 5x 4 dxe x 4 x 4, x 2 find the values of the constants a, b, c, d and e. 2. Given that f(x) = ln x, x > 0 sketch
More informationMATHEMATICS Unit Pure Core 2
General Certificate of Education June 2008 Advanced Subsidiary Examination MATHEMATICS Unit Pure Core 2 MPC2 Thursday 15 May 2008 9.00 am to 10.30 am For this paper you must have: an 8-page answer book
More informationCore Mathematics C12
Write your name here Surname Other names Pearson Edexcel International Advanced Level Centre Number Candidate Number Core Mathematics C12 Advanced Subsidiary Monday 10 October 2016 Morning Time: 2 hours
More informationCore Mathematics C2 Advanced Subsidiary
Paper Reference(s) 6664 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Wednesday 19 January 2005 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical Formulae (Green) Items
More informationx n+1 = ( x n + ) converges, then it converges to α. [2]
1 A Level - Mathematics P 3 ITERATION ( With references and answers) [ Numerical Solution of Equation] Q1. The equation x 3 - x 2 6 = 0 has one real root, denoted by α. i) Find by calculation the pair
More informationphysicsandmathstutor.com Paper Reference Core Mathematics C2 Advanced Subsidiary Monday 21 May 2007 Morning Time: 1 hour 30 minutes
Centre No. Candidate No. Paper Reference 6 6 6 4 0 1 Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Monday 21 May 2007 Morning Time: 1 hour 30 minutes Materials required
More information*P46958A0244* IAL PAPER JANUARY 2016 DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA. 1. f(x) = (3 2x) 4, x 3 2
Edexcel "International A level" "C3/4" papers from 016 and 015 IAL PAPER JANUARY 016 Please use extra loose-leaf sheets of paper where you run out of space in this booklet. 1. f(x) = (3 x) 4, x 3 Find
More informationSec 4 Maths. SET A PAPER 2 Question
S4 Maths Set A Paper Question Sec 4 Maths Exam papers with worked solutions SET A PAPER Question Compiled by THE MATHS CAFE 1 P a g e Answer all the questions S4 Maths Set A Paper Question Write in dark
More informationPossible C4 questions from past papers P1 P3
Possible C4 questions from past papers P1 P3 Source of the original question is given in brackets, e.g. [P January 001 Question 1]; a question which has been edited is indicated with an asterisk, e.g.
More informationCore Mathematics C34
Write your name here Surname Other names Pearson Edexcel International Advanced Level Centre Number Candidate Number Core Mathematics C34 Advanced Tuesday 20 June 2017 Afternoon Time: 2 hours 30 minutes
More informationCore Mathematics C12
Write your name here Surname Other names Pearson Edexcel International Advanced Level Centre Number Candidate Number Core Mathematics C12 Advanced Subsidiary Monday 19 May 2014 Morning Time: 2 hours 30
More informationMATH The Derivative as a Function - Section 3.2. The derivative of f is the function. f x h f x. f x lim
MATH 90 - The Derivative as a Function - Section 3.2 The derivative of f is the function f x lim h 0 f x h f x h for all x for which the limit exists. The notation f x is read "f prime of x". Note that
More informationEdexcel GCE Core Mathematics C2 Advanced Subsidiary
Centre No. Candidate No. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Friday 24 May 2013 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical
More informationMathematics (JAN12MPC201) General Certificate of Education Advanced Subsidiary Examination January Unit Pure Core TOTAL
Centre Number Candidate Number For Examiner s Use Surname Other Names Candidate Signature Examiner s Initials Mathematics Unit Pure Core 2 Friday 13 January 2012 General Certificate of Education Advanced
More informationEdexcel GCE Core Mathematics C2 Advanced Subsidiary
Centre No. Candidate No. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Friday 24 May 2013 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical
More informationQuestion. [The volume of a cone of radius r and height h is 1 3 πr2 h and the curved surface area is πrl where l is the slant height of the cone.
Q1 An experiment is conducted using the conical filter which is held with its axis vertical as shown. The filter has a radius of 10cm and semi-vertical angle 30. Chemical solution flows from the filter
More informationPure Mathematics Year 1 (AS) Unit Test 1: Algebra and Functions
Pure Mathematics Year (AS) Unit Test : Algebra and Functions Simplify 6 4, giving your answer in the form p 8 q, where p and q are positive rational numbers. f( x) x ( k 8) x (8k ) a Find the discriminant
More informationDEPARTMENT OF MATHEMATICS
DEPARTMENT OF MATHEMATICS AS level Mathematics Core mathematics 1 C1 2015-2016 Name: Page C1 workbook contents Indices and Surds Simultaneous equations Quadratics Inequalities Graphs Arithmetic series
More informationOutline schemes of work A-level Mathematics 6360
Outline schemes of work A-level Mathematics 6360 Version.0, Autumn 013 Introduction These outline schemes of work are intended to help teachers plan and implement the teaching of the AQA A-level Mathematics
More informationCore Mathematics 2 Coordinate Geometry
Core Mathematics 2 Coordinate Geometry Edited by: K V Kumaran Email: kvkumaran@gmail.com Core Mathematics 2 Coordinate Geometry 1 Coordinate geometry in the (x, y) plane Coordinate geometry of the circle
More informationYear 12 into 13 Maths Bridging Tasks
Year 1 into 13 Maths Bridging Tasks Topics covered: Surds Indices Curve sketching Linear equations Quadratics o Factorising o Completing the square Differentiation Factor theorem Circle equations Trigonometry
More informationIntegration - Past Edexcel Exam Questions
Integration - Past Edexcel Exam Questions 1. (a) Given that y = 5x 2 + 7x + 3, find i. - ii. - (b) ( 1 + 3 ) x 1 x dx. [4] 2. Question 2b - January 2005 2. The gradient of the curve C is given by The point
More informationCore Mathematics C12
Write your name here Surname Other names Core Mathematics C12 SWANASH A Practice Paper Time: 2 hours 30 minutes Paper - E Year: 2017-2018 The formulae that you may need to answer some questions are found
More informationAdd Math (4047/02) Year t years $P
Add Math (4047/0) Requirement : Answer all questions Total marks : 100 Duration : hour 30 minutes 1. The price, $P, of a company share on 1 st January has been increasing each year from 1995 to 015. The
More informationCore A-level mathematics reproduced from the QCA s Subject criteria for Mathematics document
Core A-level mathematics reproduced from the QCA s Subject criteria for Mathematics document Background knowledge: (a) The arithmetic of integers (including HCFs and LCMs), of fractions, and of real numbers.
More information1. Peter cuts a square out of a rectangular piece of metal. accurately drawn. x + 2. x + 4. x + 2
1. Peter cuts a square out of a rectangular piece of metal. 2 x + 3 Diagram NOT accurately drawn x + 2 x + 4 x + 2 The length of the rectangle is 2x + 3. The width of the rectangle is x + 4. The length
More informationMATHEMATICS AS/M/P1 AS PAPER 1
Surname Other Names Candidate Signature Centre Number Candidate Number Examiner Comments Total Marks MATHEMATICS AS PAPER 1 Bronze Set B (Edexcel Version) CM Time allowed: 2 hours Instructions to candidates:
More informationEdexcel GCE Core Mathematics C2 Advanced Subsidiary
Centre No. Candidate No. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Monday 10 January 2011 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical
More informationC4 "International A-level" (150 minute) papers: June 2014 and Specimen 1. C4 INTERNATIONAL A LEVEL PAPER JUNE 2014
C4 "International A-level" (150 minute) papers: June 2014 and Specimen 1. C4 INTERNATIONAL A LEVEL PAPER JUNE 2014 1. f(x) = 2x 3 + x 10 (a) Show that the equation f(x) = 0 has a root in the interval [1.5,
More information, correct to 4 significant figures?
Section I 10 marks Attempt Questions 1-10 Allow about 15 minutes for this section Use the multiple-choice answer sheet for Questions 1-10. 1 What is the basic numeral for (A) 0.00045378 (B) 0.0004538 (C)
More informationC-1. Snezana Lawrence
C-1 Snezana Lawrence These materials have been written by Dr. Snezana Lawrence made possible by funding from Gatsby Technical Education projects (GTEP) as part of a Gatsby Teacher Fellowship ad-hoc bursary
More informationA101 ASSESSMENT Quadratics, Discriminant, Inequalities 1
Do the questions as a test circle questions you cannot answer Red (1) Solve a) 7x = x 2-30 b) 4x 2-29x + 7 = 0 (2) Solve the equation x 2 6x 2 = 0, giving your answers in simplified surd form [3] (3) a)
More informationHigher Mathematics Skills Checklist
Higher Mathematics Skills Checklist 1.1 The Straight Line (APP) I know how to find the distance between 2 points using the Distance Formula or Pythagoras I know how to find gradient from 2 points, angle
More informationPearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics (8MA0)
Pearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics (8MA0) First teaching from September 2017 First certification from June 2018 2 Contents About this booklet 5 AS Mathematics Paper 1 (Pure
More informationCore Mathematics C12
Write your name here Surname Other names Pearson Edexcel International Advanced Level Centre Number Candidate Number Core Mathematics C12 Advanced Subsidiary Wednesday 24 May 2017 Morning Time: 2 hours
More informationYou must have: Mathematical Formulae and Statistical Tables, calculator
Write your name here Surname Other names Pearson Edexcel Level 3 GCE Centre Number Mathematics Advanced Paper 2: Pure Mathematics 2 Candidate Number Specimen Paper Time: 2 hours You must have: Mathematical
More informationCircles - Edexcel Past Exam Questions. (a) the coordinates of A, (b) the radius of C,
- Edecel Past Eam Questions 1. The circle C, with centre at the point A, has equation 2 + 2 10 + 9 = 0. Find (a) the coordinates of A, (b) the radius of C, (2) (2) (c) the coordinates of the points at
More informationDISCRIMINANT EXAM QUESTIONS
DISCRIMINANT EXAM QUESTIONS Question 1 (**) Show by using the discriminant that the graph of the curve with equation y = x 4x + 10, does not cross the x axis. proof Question (**) Show that the quadratic
More informationIYGB. Special Paper U. Time: 3 hours 30 minutes. Created by T. Madas. Created by T. Madas
IYGB Special Paper U Time: 3 hours 30 minutes Candidates may NOT use any calculator Information for Candidates This practice paper follows the Advanced Level Mathematics Core Syllabus Booklets of Mathematical
More informationTime: 1 hour 30 minutes
Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C Silver Level S3 Time: 1 hour 30 minutes Materials required for examination Mathematical Formulae (Green) Items included with question papers Nil
More informationTime: 1 hour 30 minutes
Paper Reference (complete below) Centre No. Surname Initial(s) Candidate No. Signature Paper Reference(s) 6663 Edexcel GCE Pure Mathematics C Advanced Subsidiary Specimen Paper Time: hour 30 minutes Examiner
More informationPLC Papers. Created For:
PLC Papers Created For: Algebra and proof 2 Grade 8 Objective: Use algebra to construct proofs Question 1 a) If n is a positive integer explain why the expression 2n + 1 is always an odd number. b) Use
More informationEdexcel GCE Core Mathematics C2 Advanced Subsidiary
Centre No. Candidate No. Paper Reference(s) 6664/01R Edexcel GCE Core Mathematics C2 Advanced Subsidiary Friday 24 May 2013 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical
More informationHere is a link to the formula booklet:
IB MATH SL2 SUMMER ASSIGNMENT review of topics from year 1. We will be quizzing on this when you return to school. This review is optional but you will earn bonus points if you complete it. Questions?
More informationC3 PAPER JUNE 2014 *P43164A0232* 1. The curve C has equation y = f (x) where + 1. (a) Show that 9 f (x) = (3)
PMT C3 papers from 2014 and 2013 C3 PAPER JUNE 2014 1. The curve C has equation y = f (x) where 4x + 1 f( x) =, x 2 x > 2 (a) Show that 9 f (x) = ( x ) 2 2 Given that P is a point on C such that f (x)
More informationCore Mathematics C1 (AS) Unit C1
Core Mathematics C1 (AS) Unit C1 Algebraic manipulation of polynomials, including expanding brackets and collecting like terms, factorisation. Graphs of functions; sketching curves defined by simple equations.
More informationPaper Reference. Core Mathematics C2 Advanced Subsidiary. Thursday 22 May 2014 Morning Time: 1 hour 30 minutes
Centre No. Candidate No. Paper Reference 6 6 6 4 0 1 Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Thursday 22 May 2014 Morning Time: 1 hour 30 minutes Materials required
More informationInternational General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL EXAMINATIONS PAPER 2 MAY/JUNE SESSION 2002
International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL EXAMINATIONS ADDITIONAL MATHEMATICS 0606/2 PAPER 2 MAY/JUNE SESSION 2002 2 hours Additional materials: Answer paper Electronic
More informationHigher Mathematics Course Notes
Higher Mathematics Course Notes Equation of a Line (i) Collinearity: (ii) Gradient: If points are collinear then they lie on the same straight line. i.e. to show that A, B and C are collinear, show that
More informationExtra FP3 past paper - A
Mark schemes for these "Extra FP3" papers at https://mathsmartinthomas.files.wordpress.com/04//extra_fp3_markscheme.pdf Extra FP3 past paper - A More FP3 practice papers, with mark schemes, compiled from
More informationADVANCED PROGRAMME MATHEMATICS: PAPER I MODULE 1: CALCULUS AND ALGEBRA
GRADE 1 EXAMINATION NOVEMBER 017 ADVANCED PROGRAMME MATHEMATICS: PAPER I MODULE 1: CALCULUS AND ALGEBRA Time: hours 00 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists
More informationPaper Reference. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary. Monday 2 June 2008 Morning Time: 1 hour 30 minutes
Centre No. Candidate No. Paper Reference 6 6 6 4 0 1 Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Monday 2 June 2008 Morning Time: 1 hour 30 minutes Materials required
More informationQuestions Q1. The function f is defined by. (a) Show that (5) The function g is defined by. (b) Differentiate g(x) to show that g '(x) = (3)
Questions Q1. The function f is defined by (a) Show that The function g is defined by (b) Differentiate g(x) to show that g '(x) = (c) Find the exact values of x for which g '(x) = 1 (Total 12 marks) Q2.
More informationMEI STRUCTURED MATHEMATICS CONCEPTS FOR ADVANCED MATHEMATICS, C2. Practice Paper C2-C
MEI Mathematics in Education and Industry MEI STRUCTURED MATHEMATICS CONCEPTS FOR ADVANCED MATHEMATICS, C Practice Paper C-C Additional materials: Answer booklet/paper Graph paper MEI Examination formulae
More informationPaper Reference. Core Mathematics C2 Advanced Subsidiary. Wednesday 20 May 2015 Morning Time: 1 hour 30 minutes
Centre No. Candidate No. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Wednesday 20 May 2015 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical
More informationPhysicsAndMathsTutor.com. Paper Reference. Core Mathematics C2 Advanced Subsidiary. Wednesday 20 May 2015 Morning Time: 1 hour 30 minutes
Centre No. Candidate No. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Wednesday 20 May 2015 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical
More informationH I G H E R S T I L L. Extended Unit Tests Higher Still Higher Mathematics. (more demanding tests covering all levels)
M A T H E M A T I C S H I G H E R S T I L L Higher Still Higher Mathematics Extended Unit Tests 00-0 (more demanding tests covering all levels) Contents Unit Tests (at levels A, B and C) Detailed marking
More informationCore Mathematics C2 Advanced Subsidiary
Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Monday 11 January 2010 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical Formulae (Pink or Green)
More informationMathematics Extension 1
009 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics Extension General Instructions Reading time 5 minutes Working time hours Write using black or blue pen Board-approved calculators may be used A table
More informationCore Mathematics C4. You must have: Mathematical Formulae and Statistical Tables (Pink)
Write your name here Surname Other names Pearson Edexcel GCE Centre Number Core Mathematics C4 Advanced Candidate Number Friday 23 June 2017 Morning Time: 1 hour 30 minutes Paper Reference 6666/01 You
More informationTeddington School Sixth Form
Teddington School Sith Form AS / A level Maths Induction and Key Course Materials 016-018 Introduction The Mathematics Department at Teddington School are delighted that you would like to continue your
More informationAS and A-level Mathematics Teaching Guidance
ΑΒ AS and A-level Mathematics Teaching Guidance AS 7356 and A-level 7357 For teaching from September 017 For AS and A-level exams from June 018 Version 1.0, May 017 Our specification is published on our
More informationPaper Reference. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary
Centre No. Candidate No. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Wednesday 9 January 2008 Afternoon Time: 1 hour 30 minutes Materials required for examination Mathematical
More informationAQA Level 2 Certificate in Further Mathematics. Worksheets - Teacher Booklet
AQA Level Certificate in Further Mathematics Worksheets - Teacher Booklet Level Specification Level Certificate in Further Mathematics 860 Worksheets - Teacher Booklet Our specification is published on
More informationEdexcel New GCE A Level Maths workbook Circle.
Edexcel New GCE A Level Maths workbook Circle. Edited by: K V Kumaran kumarmaths.weebly.com 1 Finding the Midpoint of a Line To work out the midpoint of line we need to find the halfway point Midpoint
More informationEdexcel Core Mathematics 4 Parametric equations.
Edexcel Core Mathematics 4 Parametric equations. Edited by: K V Kumaran kumarmaths.weebly.com 1 Co-ordinate Geometry A parametric equation of a curve is one which does not give the relationship between
More informationSample Aptitude Test Questions
Sample Aptitude Test Questions 1. (a) Prove, by completing the square, that the roots of the equation x 2 + 2kx + c = 0, where k and c are constants, are k ± (k 2 c). The equation x 2 + 2kx ± 81 = 0 has
More informationCore Mathematics C12
Write your name here Surname Other names Pearson Edexcel International Advanced Level Centre Number Candidate Number Core Mathematics C12 Advanced Subsidiary Tuesday 13 January 2015 Morning Time: 2 hours
More informationMathematics. Total marks 100. Section I Pages marks Attempt Questions 1 10 Allow about 15 minutes for this section
0 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics General Instructions Reading time 5 minutes Working time 3 hours Write using black or blue pen Black pen is preferred Board-approved calculators may
More informationADDITIONAL MATHEMATICS 4037/01
Cambridge O Level *0123456789* ADDITIONAL MATHEMATICS 4037/01 Paper 1 For examination from 2020 SPECIMEN PAPER 2 hours You must answer on the question paper. No additional materials are needed. INSTRUCTIONS
More informationWJEC LEVEL 2 CERTIFICATE 9550/01 ADDITIONAL MATHEMATICS
Surname Centre Number Candidate Number Other Names 0 WJEC LEVEL 2 CERTIFICATE 9550/01 ADDITIONAL MATHEMATICS A.M. MONDAY, 22 June 2015 2 hours 30 minutes S15-9550-01 For s use ADDITIONAL MATERIALS A calculator
More informationphysicsandmathstutor.com Paper Reference Core Mathematics C2 Advanced Subsidiary Wednesday 9 January 2008 Afternoon Time: 1 hour 30 minutes
physicsandmathstutor.com Centre No. Candidate No. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Wednesday 9 January 2008 Afternoon Time: 1 hour 30 minutes Materials required
More information2016 SEC 4 ADDITIONAL MATHEMATICS CW & HW
FEB EXAM 06 SEC 4 ADDITIONAL MATHEMATICS CW & HW Find the values of k for which the line y 6 is a tangent to the curve k 7 y. Find also the coordinates of the point at which this tangent touches the curve.
More informationYou must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 4H Centre Number Monday 1 January 015 Afternoon Time: hours Candidate Number
More informationSec 4 Maths SET D PAPER 2
S4MA Set D Paper Sec 4 Maths Exam papers with worked solutions SET D PAPER Compiled by THE MATHS CAFE P a g e Answer all questions. Write your answers and working on the separate Answer Paper provided.
More informationPractice Assessment Task SET 3
PRACTICE ASSESSMENT TASK 3 655 Practice Assessment Task SET 3 Solve m - 5m + 6 $ 0 0 Find the locus of point P that moves so that it is equidistant from the points A^-3, h and B ^57, h 3 Write x = 4t,
More informationPaper Reference. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary
Centre No. Candidate No. Paper Reference 6 6 6 4 0 1 Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Monday 11 January 2010 Morning Time: 1 hour 30 minutes Materials required
More informationPaper Reference. Paper Reference(s) 7362/01 London Examinations GCE Pure Mathematics Alternative Ordinary Level Paper 1
Centre No. Candidate No. Paper Reference(s) 7362/01 London Examinations GCE Pure Mathematics Alternative Ordinary Level Paper 1 Monday 21 January 2008 Afternoon Time: 2 hours Materials required for examination
More informationWednesday 24 May 2017 Morning Time allowed: 1 hour 30 minutes
Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signature AS MATHEMATICS Unit Pure Core 2 Wednesday 24 May 2017 Morning Time allowed: 1 hour 30 minutes
More informationTopic 3 Part 1 [449 marks]
Topic 3 Part [449 marks] a. Find all values of x for 0. x such that sin( x ) = 0. b. Find n n+ x sin( x )dx, showing that it takes different integer values when n is even and when n is odd. c. Evaluate
More informationConcepts for Advanced Mathematics (C2) THURSDAY 15 MAY 2008
ADVANCED SUBSIDIARY GCE 47/0 MATHEMATICS (MEI) Concepts for Advanced Mathematics (C) THURSDAY MAY 008 Additional materials: Answer Booklet (8 pages) Insert for Question 3 MEI Examination Formulae and Tables
More informationThe number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 72.
ADVANCED SUBSIDIARY GCE UNIT 4752/0 MATHEMATICS (MEI) Concepts for Advanced Mathematics (C2) THURSDAY 7 JUNE 2007 Morning Time: hour 0 minutes Additional materials: Answer booklet (8 pages) Graph paper
More informationphysicsandmathstutor.com Paper Reference Core Mathematics C2 Advanced Subsidiary Monday 11 January 2010 Morning Time: 1 hour 30 minutes
Centre No. Candidate No. Paper Reference 6 6 6 4 0 1 Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Monday 11 January 2010 Morning Time: 1 hour 30 minutes Materials required
More informationPaper 2H GCSE/A2H GCSE MATHEMATICS. Practice Set A (AQA Version) Calculator Time allowed: 1 hour 30 minutes
Surname Other Names Candidate Signature Centre Number Candidate Number Examiner Comments Total Marks Paper 2H GCSE MATHEMATICS CM Practice Set A (AQA Version) Calculator Time allowed: 1 hour 30 minutes
More information