# Specimen. Date Morning/Afternoon Time allowed: 2 hours. A Level Mathematics A H240/02 Pure Mathematics and Statistics Sample Question Paper

Save this PDF as:
Size: px
Start display at page:

Download "Specimen. Date Morning/Afternoon Time allowed: 2 hours. A Level Mathematics A H240/02 Pure Mathematics and Statistics Sample Question Paper"

## Transcription

2 Formulae A Level Mathematics A (H40) Arithmetic series S n( a l) n{ a ( n ) d} n Geometric series S S n n a( r ) r a for r r Binomial series n n n n n n n n r r n r ( a b) a C a b C a b C a b b ( n ), where n C n n! C r r!( n r)! r n r n n( n ) n( n ) ( n r ) r ( x) nx x x x, n! r! Differentiation f ( x ) f ( x) tan kx k sec kx sec x sec xtan x cotx cosec x cosec x cosec xcot x u Quotient rule y, v du dv v u dy dx dx dx v Differentiation from first principles f ( x h) f ( x) f ( x) lim h 0 h Integration f ( x) d x ln f ( x ) c f ( x) n n f ( x) f ( x) dx f ( x) c n Integration by parts Small angle approximations dv du u dx uv v dx dx dx sin,cos,tan where θ is measured in radians OCR 08 H40/0

3 3 Trigonometric identities sin( A B) sin Acos B cos Asin B cos( AB) cos Acos B sin Asin B tan A tan B tan( A B) ( A B ( k ) ) tan Atan B Numerical methods b Trapezium rule: y d x h {( y 0 y n) ( y a y yn ) }, where f( xn ) The Newton-Raphson iteration for solving f( x) 0 : xn xn f ( x ) n b a h n Probability P( A B) P( A) P( B) P( A B) P( A B) P( A)P( B A) P( B)P( A B) or Standard deviation x x x x or n n The binomial distribution f x x fx f f n x If X ~B( n, p) then P( X x) p ( p) x nx P( A B) P( A B) P( B ) x Hypothesis test for the mean of a normal distribution If ~ N, X then X X ~ N, n and ~ N(0, ) / n, Mean of X is np, Variance of X is np( p) Percentage points of the normal distribution If Z has a normal distribution with mean 0 and variance then, for each value of p, the table gives the value of z such that P( Z z) p. Kinematics p z Motion in a straight line Motion in two dimensions v u at v u a t s ut at s u v t s ut a t s u v v u as s vt at t s vt a t OCR 08 H40/0 Turn over

4 4 Section A: Pure Mathematics Answer all the questions Simplify fully. (i) a 3 6a [] (ii) 5 6 (4 b ) [] A curve has equation 5 4 y x 5x. (i) Find d y dx and d y dx. (ii) Verify that the curve has a stationary point when x 4. [] (iii) Determine the nature of this stationary point. [] 3 A publisher has to choose the price at which to sell a certain new book. The total profit, t, that the publisher will make depends on the price, p. He decides to use a model that includes the following assumptions. If the price is low, many copies will be sold, but the profit on each copy sold will be small, and the total profit will be small. If the price is high, the profit on each copy sold will be high, but few copies will be sold, and the total profit will be small. The diagram shows the graphs of two possible models. t (, 700) t (6, 700) [3] O Model A p O Model B p (i) Explain how model A is inconsistent with one of the assumptions given above. [] (ii) Given that the equation of the curve in model B is quadratic, show that this equation is of the form t k( p p ), and find the value of the constant k. [] (iii) The publisher needs to make a total profit of at least Use the equation found in part (ii) to find the range of values within which model B suggests that the price of the book must lie. [4] (iv) Comment briefly on how realistic model B may be in the cases p 0 and p.. [] OCR 08 H40/0

5 5 4 (i) Express x x in partial fractions. [] 5 (ii) In this question you must show detailed reasoning. Hence find 3 x x dx. Give your answer in its simplest form. [5] y The circle with centre O and radius meets the parabola y x diagram. P O at points P and Q, as shown in the (i) Verify that the coordinates of Q are, 3. [3] (ii) Find the exact area of the shaded region enclosed by the arc PQ of the circle and the parabola. [8] 6 Helga invests 4000 in a savings account. After t days, her investment is worth y. The rate of increase of y is ky, where k is a constant. (i) Write down a differential equation in terms of t, y and k. [] (ii) Solve your differential equation. Hence find the value of Helga's investment after t days. Give your answer in terms of k. [4] 3 4 Q x It is given that k = ln r of interest is 6% per annum. where r % is the rate of interest per annum. During the first year the rate (iii) Find the value of Helga's investment after 90 days. [] After one year (365 days), the rate of interest drops to 5% per annum. (iv) Find the total time that it will take for Helga's investment to double in value. [5] OCR 08 H40/0 Turn over

6 6 Section B: Statistics Answer all the questions 7 (i) The heights of English men aged 5 to 34 are normally distributed with mean 78 cm and standard deviation 8 cm. Three English men aged 5 to 34 are chosen at random. Find the probability that all three of them have a height less than 94 cm. [3] (ii) The diagram shows the distribution of heights of Scottish women aged 5 to 34. It is given that the distribution is approximately normal. Use the diagram in the Printed Answer Booklet to estimate the standard deviation of these heights, explaining your method. [3] 8 A market gardener records the masses of a random sample of 00 of this year's crop of plums. The table shows his results. Mass, m grams Number of plums m 5 5 m m m m m 75 m (i) Explain why the normal distribution might be a reasonable model for this distribution. [] The market gardener models the distribution of masses by N47.5, 0. x (ii) Find the number of plums in the sample that this model would predict to have masses in the range (a) 35 m 45, [] (b) m 5. [] (iii) Use your answers to parts (ii)(a) and (ii)(b) to comment on the suitability of this model. [] (iv) The market gardener plans to use this model to predict the distribution of the masses of next year's crop of plums. Comment on this plan. [] OCR 08 H40/0

7 9 The diagram below shows some Cycle to work data taken from the 00 and 0 UK censuses. The diagram shows the percentages, by age group, of male and female workers in England and Wales, excluding London, who cycled to work in 00 and Percentage of workers who cycled to work The following questions refer to the workers represented by the graphs in the diagram. Age 00 - Males 0 - Males 00 - Females 0 - Females (i) A researcher is going to take a sample of men and a sample of women and ask them whether or not they cycle to work. Why would it be more important to stratify the sample of men? [] (ii) A research project followed a randomly chosen large sample of the group of male workers who were aged in 00. Does the diagram suggest that the proportion of this group who cycled to work has increased or decreased from 00 to 0? Justify your answer. [] (iii) Write down one assumption that you have to make about these workers in order to draw this conclusion. [] 0 In the past the time, in minutes, spent by customers in a certain library had mean 3.5 and standard deviation 8.. Following a change of layout in the library, the mean time spent in the library by a random sample of 50 customers is found to be 34.5 minutes. Assuming that the standard deviation remains at 8., test at the 5% significance level whether the mean time spent by customers in the library has changed. [7] OCR 08 H40/0 Turn over

8 Each of the 30 students in a class plays at least one of squash, hockey and tennis. 8 students play squash 9 students play hockey 7 students play tennis 8 students play squash and hockey 9 students play hockey and tennis students play squash and tennis 8 (i) Find the number of students who play all three sports. [3] A student is picked at random from the class. (ii) Given that this student plays squash, find the probability that this student does not play hockey. [] Two different students are picked at random from the class, one after the other, without replacement. (iii) Given that the first student plays squash, find the probability that the second student plays hockey. [4] The table shows information for England and Wales, taken from the UK 0 census. Total population Number of children aged A random sample of people in another country was chosen in 0, and the number, m, of children aged 5-7 was noted. It was found that there was evidence at the.5% level that the proportion of children aged 5-7 in the same year was higher than in the UK. Unfortunately, when the results were recorded the value of m was omitted. Use an appropriate normal distribution to find an estimate of the smallest possible value of m. [5] OCR 08 H40/0

9 9 BLANK PAGE OCR 08 H40/0 Turn over

10 0 3 The table and the four scatter diagrams below show data taken from the 0 UK census for four regions. On the scatter diagrams the names have been replaced by letters. The table shows, for each region, the mean and standard deviation of the proportion of workers in each Local Authority who travel to work by driving a car or van and the proportion of workers in each Local Authority who travel to work as a passenger in a car or van. Each scatter diagram shows, for each of the Local Authorities in a particular region, the proportion of workers who travel to work by driving a car or van and the proportion of workers who travel to work as a passenger in a car or van. Driving a car or van Passenger in a car or van Mean Standard deviation Mean Standard deviation London South East South West Wales Region A Driving a car or van Region B Driving a car or van Passenger in a car or van Passenger in a car or van OCR 08 H40/0

11 Region C Driving a car or van Region D Driving a car or van Passenger in a car or van Passenger in a car or van (i) Using the values given in the table, match each region to its corresponding scatter diagram, explaining your reasoning. [3] (ii) Steven claims that the outlier in the scatter diagram for Region C consists of a group of small islands. Explain whether or not the data given above support his claim. [] (iii) One of the Local Authorities in Region B consists of a single large island. Explain whether or not you would expect this Local Authority to appear as an outlier in the scatter diagram for Region B. [] OCR 08 H40/0 Turn over

13 day June 0XX Morning/Afternoon A Level Mathematics A H40/0 Pure Mathematics and Statistics SAMPLE MARK SCHEME MAXIMUM MARK 00 Duration: hours This document consists of 0 pages B00/6.0

14 H40/0 Mark Scheme June 0XX. Annotations and abbreviations Text Instructions Annotation in scoris Meaning and BOD Benefit of doubt FT Follow through ISW Ignore subsequent working M0, M Method mark awarded 0, A0, A Accuracy mark awarded 0, B0, B Independent mark awarded 0, SC Special case ^ Omission sign MR Misread Highlighting Other abbreviations in Meaning mark scheme E Mark for explaining a result or establishing a given result dep* Mark dependent on a previous mark, indicated by * cao Correct answer only oe Or equivalent rot Rounded or truncated soi Seen or implied www Without wrong working AG Answer given awrt Anything which rounds to BC By Calculator DR This question included the instruction: In this question you must show detailed reasoning.

17 H40/0 Mark Scheme June 0XX Question Answer Marks AO Guidance (i) 4 4 M. Any correct first step 6a or 4 a or a a 4 a 4a A. [] (ii) 5 3b B.. [] (i) dy 4 3 5x 0x dx M.a A. d y 3 0x 60x dx AFT. [3] (ii) d d = 0 hence there is a stationary point A. [] M. When x 4, (iii) When x 4, d d y x 0x x M. y 3 3 0x 60x x 0 hence the stationary point is a minimum EFT.a B for 3 and B for b 5 For attempt at differentiation FT their d y dx Substitute into their d y dx [] FT from their d dx y in part (i) Both indices decrease 5

18 H40/0 Mark Scheme June 0XX Question Answer Marks AO Guidance 3 (i) Total profit (or t) is large when price (or p) is high B 3.5b [] 3 (ii) Passes through (0, 0) and (, 0) B 3.b hence t kp p k 00 B 3.3 Or t 00 p p [] Or t 00 p p 3 (iii) p p oe M their k p p p x 3 0 AFT. Any correct equation in form ap bp c 0 FT (ii) p = 4, p = 8 AFT. BC, but any method allowed FT (ii) 4 p 8 Allow 4 p 8 Price must be between 4 and 8 A 3.4 [4] 3 (iv) E.g. p 0 implies giving book for free. E 3.b Valid comment about p 0 Unrealistic. oe E.g. When p 0, t 0; but t should be negative as would make a loss. Unrealistic. oe E.g. When p., t is negative. Possibly realistic as could make a loss if p set too high. oe E 3.b Valid comment about p. [] 6

19 H40/0 Mark Scheme June 0XX Question Answer Marks AO Guidance 4 (i) A B ( x )( x ) x x M. Attempt partial fractions with so A( x ) B( x ) linear denominators, any method so 3 A and B x x oe A. [] (ii) DR M. Attempt integration using ln Must be seen 3 AFT. Correct integral in any equivalent May have no limits at this stage dx form. x x x x 3 ln ln 3 3 FT their Aln x Bln x M.a Attempt to substitute 3 and in their integral and subtract ln ln5 ln ln 4 A. All correct in any equivalent form 3 8 ln or ln [5] 5 (i) x y 4 B. soi When x y 4 y 3 y A. isw; must include one ln only E. AG Check that Q lies on the circle OR y E. AG Check that Q lies on the [3] parabola Must be seen B x 3 4 x B x 3 4 x 3 7

20 H40/0 Mark Scheme June 0XX Question Answer Marks AO Guidance 5 (ii) M 3.a Attempt correct integral and 4 x dx 3 limits; may be implied by answer OR M 3 4 x dx= 4.3(39 ) A. BC A 3 Let N be the point, 0 3 Area OQN oe or (3 s.f.) QON tan 3 M 3.a B. OR sin or cos 3 Or or 60 or 3 POQ 3 or 60 A. MA may be implied by seeing next line Area sector POQ oe M. FT their angle POQ 3 oe or.09 (3 s.f.)) ( 3 9 B semi-circle: y 4 x M attempt 4 x dx by substitution, e.g. x sinu M Use trigonometric identity e.g cos u du a cos u b du 6 6 A Shaded area oe M 3.a Correct combination of their areas M Shaded area oe oe A. 3 3 A oe [8] 9 3 8

21 H40/0 Mark Scheme June 0XX Question Answer Marks AO Guidance 6 (i) dy ky dt B 3.b [] 6 (ii) dy kt d y M.a Attempt separation of variables y t ln y kt or ln y kt c (iii) 90 ln e M. Correct integrals and limits ln y kt or ln c A. Correct substitution in correct 4000 integral y 4000e kt A. [4] M. FT their part (ii) A. BC [] 6 (iv) After year, increased by factor.06 M 3.b May be implied Require further increase by factor.06 M. Attempt to form equation with.05 and.06 t ln.05 e 365 A. Correct equation.06 t M. Attempt to remove logs OR BC ln.05 ln t ln ln Total number of days 55 A 3.a isw [5] 9

22 H40/0 Mark Scheme June 0XX Question Answer Marks AO Guidance 7 (i) N 78, 8 and X 94 oe M. soi P X A. BC (3 s.f.) A. [3] 7 (ii) E.g. inflection mean M.a E.g Figures are illustrative only E.g. E.g. (97.5th percentile mean) E.g. E.g (99.7th percentile 0.3th percentile) to 7 A. E.g. Point of inflection is sd from mean E.4 Statement matching method used E.g. 95% of values within (approx) sds of mean E.g. Amost all within (approx) 3 sds of mean [3] 8 (i) Symmetrical, high in middle, tails off at ends B.4 Any two of these Not just bell shaped [] P 35 m M 3.4 Correct probability attempted 8 (ii) (a) Predicted no. 30 A. Allow 9.6 or 9 or 30 [] 8 (ii) (b) Pm M 3.4 Correct probability attempted Predicted no. A. Allow. or or [] 8 (iii) 9.6 close to 9 and. close to 0 Hence model (could be) suitable B 3.5a Both needed OR B Model predicts some masses below 5 g, hence not suitable [] 8 (iv) E.g. Weather may cause different distribution B 3.5b Any sensible reason why next year may be different [] 0

23 H40/0 Mark Scheme June 0XX Question Answer Marks AO Guidance 9 (i) e.g. From the data given, the proportions of men E.4 who cycle to work show much more variability than women, with greater proportions of younger men cycling than older men. [] 9 (ii) The proportion decreased B.a e.g. These workers were in the group in B.b 0, which is a smaller proportion of the population than the group in 00. [] 9 (iii) e.g. The age group is still approximately the same size B.b For any relevant assumption in 0 Very few (or no) males in this age group join the workforce between 00 and 0 Very few (or no) males in this age group leave the workforce between 00 and 0 The overall size of the workforce in this age group has not changed much The sample is representative of the whole population []

24 H40/0 Mark Scheme June 0XX Question Answer Marks AO Guidance 0 H 0 : 3.5 B. Must be stated in terms of parameter values H : 3.5 where is mean time spent by all customers B.5 BB0 for one error, e.g. undefined or -tail Use of 34.5 B0B X N 3.5, and X 34.5 P X M 3.3 Stated or implied OR M allow without square root A 3.4 BC A.75 Comparison with 0.05 A. Allow comparison with 0.05 if H : 3.5 Do not reject H 0 M. Insufficient evidence that mean time in the library has changed AFT.b In context, not definite; FT their 0.043, but not comparison with 0.05 [7] A Comparison with.96 (allow comparison with.645 if H : 3.5 ) FT their.75, but not comparison with.645

25 H40/0 Mark Scheme June 0XX Question Answer Marks AO Guidance (i) Attempt to represent information e.g. by Venn diagram with x in centre and 3 other correct B 3.3 Any equivalent method OR B values in terms of x Attempt total (in terms of x) M 3.4 M " 6 " x 4 so ns H T 4 E. Or the number doing all three is 4. E0 for just x 4 [3] (ii) 5 9 oe BFT.a FT their (i) [] (iii) B.a 4 8 B.a 9 9 M.a All correct oe or (3 s.f.) 6 A. [4]

26 H40/0 Mark Scheme June 0XX Question Answer Marks AO Guidance p 0.5 to 4 s.f. B 3.b OR B p 0.5 to 4 s.f. X~Bin 0000, 0.5 M 3.3 soi B X~N5, 83 np 5 np p 83 Both; allow 3 s.f (or 5 83 ) M 3.4 np np p their' ' their' ' or their' np'.96 their' np p ' M P(X < m) = Then use inverse normal to find =58 (or 583) A FT. FT their 3sf or better values A FT BC Minimum m is 58 A. Conclusion in context A Minimum m is 58 Allow 580 to 585 [5] 4

27 H40/0 Mark Scheme June 0XX Question Answer Marks AO Guidance 3 (i) E.g. The only region with very low location on E.a Or any other valid reason to OR E for one region correct both variables is Region D which is therefore connect Region D with London with good reasoning London. E.g. The region with the lowest standard deviation is Region B, so this is Wales E.a Or any other valid reason to connect Region B with Wales OR E for two regions correct with good reasoning E.g. The only value where the other two differ much is sd of driving; the wider spread on Region C including the outlier suggests that this is the Southwest, so Region A is the South East. 3 (ii) E.g. No the data only shows that this LA has low proportions of car use for travelling to work. E.g. No, many LAs in Region D (London) have similar proportions and they are not small islands. 3 (iii) E.g. On a large island, methods of travel to work are unlikely to be different to any other LA; people will still be travelling to work on the roads, and provision of public transport will be similar to any other LA. E.b Careful argument involving mean and/or standard deviation [3] E.b Or any other valid explanation of why the data given is insufficient to draw this conclusion [] E.b Or any other valid explanation of how large islands are likely to have similar patterns of method of travel to other LAs [] Identifying the LA as the Scilly Isles is not relevant; this requires information that is not in the supplied data. Candidates may, but need not, identify the LA as Anglesey, but this is not sufficient to award the mark 5

28 H40/0 Mark Scheme June 0XX Question Answer Marks AO Guidance 4 (i) P X 39 P X 40 M. Attempt at evaluating P X A. [] P X even oe M 3.a Attempt probabilities of all even values A. Correct expression 4 (ii) 860 A. 43 X P,4,6, oe P X, 4, 6,8and X even P X, 4, 6,8 P Xeven P Xeven 3 oe or (3 s.f.) M. Attempt probabilities for X,4,6,8 A 3.a their P X,4,6,8 their P X even B. For a clear solution allowing the line of reasoning to be followed, with each component of the conditional probability found clearly [6] Numerical sums may be evaluated BC throughout 6

29 H40/0 Mark Scheme June 0XX Assessment Objectives (AO) Grid Question AO AO AO3(PS) AO3(M) Total (i) (ii) (i) (ii) 0 0 (iii) 0 0 3(i) (ii) 0 0 3(iii) (iv) (i) (ii) (i) (ii) (i) (ii) (iii) (iv) 0 5 7(i) (ii) (i) (ii)(a) 0 0 8(ii)(b) 0 0 8(iii) (iv) (i) (ii) (iii) (i) (ii) (iii) (i) (ii) (iii) (i) (ii) Totals PS = Problem Solving M = Modelling 7

30 H40/0 Mark Scheme June 0XX BLANK PAGE 8

31 H40/0 Mark Scheme June 0XX BLANK PAGE 9

32 H40/0 Mark Scheme June 0XX BLANK PAGE 0

34 Section A: Pure Mathematics (i) (ii) (i) (ii) (iii) OCR 08 H40/0

35 3 3(i) 3(ii) 3(iii) 3(iv) OCR 08 H40/0 Turn over

36 4 4(i) 4(ii) OCR 08 H40/0

37 5 5(i) 5(ii) OCR 08 H40/0 Turn over

38 6 6(i) 6(ii) OCR 08 H40/0

39 7 6(iii) 6(iv) OCR 08 H40/0 Turn over

40 8 Section B: Statistics 7(i) 7(ii) x OCR 08 H40/0

41 9 8(i) 8(ii)(a) 8(ii)(b) 8(iii) 8(iv) OCR 08 H40/0 Turn over

42 0 9(i) 9(ii) 9(iii) OCR 08 H40/0

43 0 OCR 08 H40/0 Turn over

44 (i) (ii) (iii) OCR 08 H40/0

45 3 OCR 08 H40/0 Turn over

46 4 3(i) 3(ii) 3(iii) OCR 08 H40/0

47 5 4(i) 4(ii) OCR 08 H40/0 Turn over

### Specimen. Date Morning/Afternoon Time allowed: 1 hour 15 minutes. AS Level Further Mathematics A Y531 Pure Core Sample Question Paper INSTRUCTIONS

AS Level Further Mathematics A Y531 Pure Core Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 15 minutes OCR supplied materials: Printed Answer Booklet Formulae AS Level Further Mathematics

### A Level Further Mathematics B (MEI) Y435 Extra Pure Sample Question Paper SPECIMEN

A Level Further Mathematics B (MEI) Y435 Extra Pure Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 15 minutes OCR supplied materials: Printed Answer Booklet Formulae Further Mathematics

### Specimen. Date Morning/Afternoon Time allowed: 1 hour 30 minutes. A Level Further Mathematics A Y541 Pure Core 2 Sample Question Paper INSTRUCTIONS

A Level Further Mathematics A Y541 Pure Core Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 30 minutes OCR supplied materials: Printed Answer Booklet Formulae A Level Further Mathematics

### Specimen. Date Morning/Afternoon Time allowed: 1 hour 30 minutes

AS Level Mathematics B (MEI) H630/01 Pure Mathematics and Mechanics Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 30 minutes You must have: Printed Answer Booklet You may use: a scientific

### Specimen. Date Morning/Afternoon Time allowed: 2 hours. A Level Mathematics A H240/01 Pure Mathematics Sample Question Paper INSTRUCTIONS

A Level Mathematics A H40/01 Pure Mathematics Sample Question Paper Date Morning/Afternoon Time allowed: hours You must have: Printed Answer Booklet You may use: a scientific or graphical calculator INSTRUCTIONS

### Specimen. Date Morning/Afternoon Time allowed: 1 hour 15 minutes. AS Level Further Mathematics A Y532 Statistics Sample Question Paper INSTRUCTIONS

AS Level Further Mathematics A Y532 Statistics Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 15 minutes OCR supplied materials: Printed Answer Booklet Formulae AS Level Further Mathematics

### Specimen. Date Morning/Afternoon Time allowed: 1 hour 30 minutes. AS Level Mathematics A H230/02 Pure Mathematics and Mechanics Sample Question Paper

AS Level Mathematics A H0/0 Pure Mathematics and Mechanics Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 0 minutes You must have: Printed Answer Booklet You may use: a scientific or

### Date Morning/Afternoon Time allowed: 1 hour 15 minutes

AS Level Further Mathematics A Y55 Additional Pure Mathematics Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 15 minutes You must have: Printed Answer Book Formulae AS Level Further

### Specimen. Date Morning/Afternoon Time allowed: 1 hour 15 minutes. AS Level Further Mathematics A Y533 Mechanics Sample Question Paper INSTRUCTIONS

AS Level Further Mathematics A Y533 Mechanics Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 15 minutes OCR supplied materials: Printed Answer Booklet Formulae AS Level Further Mathematics

### Specimen. Date Morning/Afternoon Time allowed: 1 hour 30 minutes. AS Level Mathematics A H230/01 Pure Mathematics and Statistics Sample Question Paper

AS Level Mathematics A H30/01 Pure Mathematics and Statistics Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 30 minutes You must have: Printed Answer Booklet You may use: a scientific

### Specimen. Date Morning/Afternoon Time allowed: 2 hours. A Level Mathematics B (MEI) H640/01 Pure Mathematics and Mechanics Sample Question Paper

A Level Mathematics B (MEI) H640/01 Pure Mathematics and Mechanics Sample Question Paper Date Morning/Afternoon Time allowed: hours You must have: Printed Answer Booklet You may use: a scientific or graphical

### Specimen. Date Morning/Afternoon Time allowed: 1 hour 30 minutes. A Level Further Mathematics A Y543 Mechanics Sample Question Paper INSTRUCTIONS

A Level Further Mathematics A Y543 Mechanics Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 30 minutes OCR supplied materials: Printed Answer Booklet Formulae A Level Further Mathematics

### GCE Mathematics. Mark Scheme for June Unit 4723: Core Mathematics 3. Advanced GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 473: Core Mathematics 3 Advanced GCE Mark Scheme for June 06 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range

### Specimen. Date Morning/Afternoon Time allowed: 1 hour 30 minutes. A Level Further Mathematics A Y542 Statistics Sample Question Paper INSTRUCTIONS

A Level Further Mathematics A Y542 Statistics Sample Question Paper Date Morning/Afternoon Time allowed: hour 30 minutes OCR supplied materials: Printed Answer Booklet Formulae A Level Further Mathematics

### Specimen. Date Morning/Afternoon Time allowed: 1 hour 30 minutes

AS Level Mathematics B (MEI) H630/0 Pure Mathematics and Statistics Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 30 minutes You must have: Printed Answer Booklet You may use: a scientific

### GCE Mathematics. Mark Scheme for June Unit 4723: Core Mathematics 3. Advanced GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 47: Core Mathematics Advanced GCE Mark Scheme for June 05 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range

### A Level Further Mathematics B (MEI) Y432 Statistics Minor Sample Question Paper SPECIMEN

A Level Further Mathematics B (MEI) Y432 Statistics Minor Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 15 minutes OCR supplied materials: Printed Answer Booklet Formulae Further Mathematics

### Date Morning/Afternoon Time allowed: 2 hours

Regulated Level 3 Free Standing Mathematics Qualification: Additional Maths 6993 Paper 1 Sample Question Paper Date Morning/Afternoon Time allowed: hours You may use: Scientific or graphical calculator

### A Level Further Mathematics B (MEI) Y431 Mechanics Minor Sample Question Paper SPECIMEN

A Level Further Mathematics B (MEI) Y431 Mechanics Minor Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 15 minutes OCR supplied materials: Printed Answer Booklet Formulae Further Mathematics

### Specimen. Date Morning/Afternoon. A Level Mathematics B (MEI) H640/03 Pure Mathematics and Comprehension Sample Insert. Version 2

A Level Mathematics B (MEI) H640/03 Pure Mathematics and Comprehension Sample Insert Version Date Morning/Afternoon Time allowed: hours INFORMATION FOR CANDIDATES This insert contains the article for Section

### Specimen. A Level Mathematics A H240/01 Pure Mathematics Sample Question Paper. Date Morning/Afternoon Version 2 Time allowed: 2 hours INSTRUCTIONS

A Level Mathematics A H40/01 Pure Mathematics Sample Question Paper Date Morning/Afternoon Version Time allowed: hours You must have: Printed Answer Booklet You may use: a scientific or graphical calculator

### Specimen. Date Morning/Afternoon Time allowed: 2 hours. A Level Mathematics A H240/03 Pure Mathematics and Mechanics Sample Question Paper

A Level Mathematics A H40/03 Pure Mathematics and Mechanics Sample Question Paper Date Morning/Afternoon Time allowed: hours You must have: Printed Answer Booklet You may use: a scientific or graphical

### PMT. GCE Mathematics (MEI) Unit 4753: Methods for Advanced Mathematics. Advanced GCE. Mark Scheme for June Oxford Cambridge and RSA Examinations

GCE Mathematics (MEI) Unit 4753: Methods for Advanced Mathematics Advanced GCE Mark Scheme for June 014 Oxford Cambridge and RSA Examinations 4753 Mark Scheme June 014 1. Annotations and abbreviations

### Date Morning/Afternoon Time allowed: 2 hours 40 minutes

A Level Further Mathematics B (MEI) Y40 Core Pure Sample Question Paper Date Morning/Afternoon Time allowed: hours 40 minutes You must have: Printed Answer Booklet Formulae Further Mathematics B (MEI)

### A Level Mathematics A H240/03 Pure Mathematics and Mechanics Sample Question Paper SPECIMEN

A Level Mathematics A H40/03 Pure Mathematics and Mechanics Sample Question Paper Date Morning/Afternoon Time allowed: hours OCR supplied materials: Printed Answer Booklet You must have: Printed Answer

### GCE Mathematics. Mark Scheme for June Unit 4721: Core Mathematics 1. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 47: Core Mathematics Advanced Subsidiary GCE Mark Scheme for June 04 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a

### PMT. GCE Mathematics (MEI) Unit 4761: Mechanics 1. Advanced Subsidiary GCE. Mark Scheme for June Oxford Cambridge and RSA Examinations

GCE Mathematics (MEI) Unit 4761: Mechanics 1 Advanced Subsidiary GCE Mark Scheme for June 016 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing

### Specimen. You may use: a scientific or graphical calculator * *

A Level Mathematics B (MEI) H640/0 Pure Mathematics and Statistics Sample Question Paper Date Morning/Afternoon Time allowed: hours You must have: Printed Answer Booklet You may use: a scientific or graphical

### GCE Mathematics (MEI) Mark Scheme for June Unit 4757: Further Applications of Advanced Mathematics. Advanced GCE PMT

GCE Mathematics (MEI) Unit 757: Further Applications of Advanced Mathematics Advanced GCE Mark Scheme for June 015 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding

### GCE Mathematics. Mark Scheme for June Unit 4724: Core Mathematics 4. Advanced GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 474: Core Mathematics 4 Advanced GCE Mark Scheme for June 06 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range

### GCE Mathematics. Mark Scheme for June Unit 4731: Mechanics 4. Advanced GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 7: Mechanics Advanced GCE Mark Scheme for June Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of qualifications

### A Level Further Mathematics B (MEI) Y433 Modelling with Algorithms Sample Question Paper SPECIMEN

A Level Further Mathematics B (MEI) Y433 Modelling with Algorithms Sample Question Paper Date Morning/Afternoon Time allowed: 1 hour 15 minutes OCR supplied materials: Printed Answer Booklet Formulae A

### GCE. Mathematics (MEI) Mark Scheme for January Advanced Subsidiary GCE Unit 4761: Mechanics 1. Oxford Cambridge and RSA Examinations

GCE Mathematics (MEI) Advanced Subsidiary GCE Unit 4761: Mechanics 1 Mark Scheme for January 013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing

### GCE. Mathematics. Mark Scheme for January Advanced GCE Unit 4723: Core Mathematics 3. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced GCE Unit 473: Core Mathematics 3 Mark Scheme for January 03 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide

### GCE. Mathematics. Mark Scheme for June Advanced Subsidiary GCE Unit 4721: Core Mathematics 1. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced Subsidiary GCE Unit 41: Core Mathematics 1 Mark Scheme for June 01 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing

### GCE Mathematics (MEI) Mark Scheme for June Unit 4758: Differential Equations. Advanced GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics (MEI) Unit 4758: Differential Equations Advanced GCE Mark Scheme for June 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing

### GCE. Mathematics. Mark Scheme for January Advanced GCE Unit 4729: Mechanics 2. Oxford Cambridge and RSA Examinations

GCE Mark Scheme for January 01 Mathematics Advanced GCE Unit 479: Mechanics Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of

### PMT GCE. Mathematics (MEI) Advanced GCE Unit 4763: Mechanics 3. Mark Scheme for June Oxford Cambridge and RSA Examinations

GCE Mathematics (MEI) Advanced GCE Unit 6: Mechanics Mark Scheme for June 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of

### GCE Mathematics (MEI) Mark Scheme for June Unit 4755: Further Concepts for Advanced Mathematics. Advanced Subsidiary GCE

GCE Mathematics (MEI) Unit 4755: Further Concepts for Advanced Mathematics Advanced Subsidiary GCE Mark Scheme for June 015 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading

### GCE. Mathematics (MEI) Mark Scheme for June Advanced Subsidiary GCE Unit 4752: Concepts for Advanced Mathematics

GCE Mathematics (MEI) Advanced Subsidiary GCE Unit 4752: Concepts for Advanced Mathematics Mark Scheme for June 2013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK

### GCE Mathematics. Mark Scheme for June Unit 4721: Core Mathematics 1. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 7: Core Mathematics Advanced Subsidiary GCE Mark Scheme for June 06 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a

### GCE. Mathematics (MEI) Mark Scheme for January Advanced Subsidiary GCE Unit 4755: Further Concepts for Advanced Mathematics

GCE Mathematics (MEI) Advanced Subsidiary GCE Unit 755: Further Concepts for Advanced Mathematics Mark Scheme for January 2012 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a

### PMT GCE. Mathematics (MEI) Advanced GCE Unit 4753: Methods for Advanced Mathematics. Mark Scheme for June Oxford Cambridge and RSA Examinations

GCE Mathematics (MEI) Advanced GCE Unit 4753: Methods for Advanced Mathematics Mark Scheme for June 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body,

### PMT. GCE Mathematics (MEI) Unit 4753: Methods for Advanced Mathematics. Advanced GCE. Mark Scheme for June Oxford Cambridge and RSA Examinations

GCE Mathematics (MEI) Unit 753: Methods for Advanced Mathematics Advanced GCE Mark Scheme for June 016 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body,

### A Level Further Mathematics B (MEI) Y421 Mechanics Major Sample Question Paper SPECIMEN

A Level Further Mathematics B (MEI) Y41 Mechanics Major Sample Question Paper Date Morning/Afternoon Time allowed: hours 15 minutes OCR supplied materials: Printed Answer Booklet Formulae Further Mathematics

### SPECIMEN. XXXX June 2013 Morning/Afternoon A2 GCE MATHEMATICS (MEI) 4798 Further Pure Mathematics with Technology (FPT) Duration: Up to 2 hours

XXXX June 2013 Morning/Afternoon A2 GCE MATHEMATICS (MEI) 4798 Further Pure Mathematics with Technology (FPT) QUESTION PAPER SPECIMEN Candidates answer on the Printed Answer Book. OCR supplied materials:

### Wednesday 3 June 2015 Morning

Oxford Cambridge and RSA Wednesday 3 June 015 Morning AS GCE MATHEMATICS (MEI) 475/01 Concepts for Advanced Mathematics (C) QUESTION PAPER * 3 6 7 4 8 0 7 8 7 * Candidates answer on the Printed Answer

### GCE. Mathematics (MEI) Mark Scheme for January Advanced Subsidiary GCE Unit 4761: Mechanics 1. Oxford Cambridge and RSA Examinations

GCE Mathematics (MEI) Advanced Subsidiary GCE Unit 476: Mechanics Mark Scheme for January 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing

### GCE Mathematics. Mark Scheme for June Unit 4728: Mechanics 1. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 4728: Mechanics 1 Advanced Subsidiary GCE Mark Scheme for June 2016 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a

### PMT GCE. Mathematics. Advanced Subsidiary GCE Unit 4721: Core Mathematics 1. Mark Scheme for January Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced Subsidiary GCE Unit 47: Core Mathematics Mark Scheme for January 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing

### GCE. Mathematics. Mark Scheme for June Advanced GCE. Unit 4723: Core Mathematics 3. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced GCE Unit 73: Core Mathematics 3 Mark Scheme for June 03 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range

### GCE Mathematics. Mark Scheme for June Unit 4721: Core Mathematics 1. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 7: Core Mathematics Advanced Subsidiary GCE Mark Scheme for June 05 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a

### FSMQ. Additional FSMQ. Mark Scheme for June Free Standing Mathematics Qualification. 6993: Additional Mathematics

FSMQ Additional FSMQ Free Standing Mathematics Qualification 699: Additional Mathematics Mark Scheme for June 01 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding

### Oxford Cambridge and RSA. GCE Mathematics. Unit 4729: Mechanics 2. Advanced GCE. Mark Scheme for June Oxford Cambridge and RSA Examinations

Oxford Cambridge and RSA GCE Mathematics Unit 4729: Mechanics 2 Advanced GCE Mark Scheme for June 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body,

### GCE Mathematics (MEI) Mark Scheme for June Unit 4754A: Applications of Advanced Mathematics: Paper A. Advanced GCE PMT

GCE Mathematics (MEI) Unit 4754A: Applications of Advanced Mathematics: Paper A Advanced GCE Mark Scheme for June 015 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK

### GCE Mathematics. Mark Scheme for June Unit 4723: Core Mathematics 3. Advanced GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 47: Core Mathematics Advanced GCE Mark Scheme for June 017 Oford Cambridge and RSA Eaminations OCR (Oford Cambridge and RSA) is a leading UK awarding body, providing a wide range of

### MATHEMATICS 4722 Core Mathematics 2

ADVANCED SUBSIDIARY GCE MATHEMATICS 4722 Core Mathematics 2 QUESTION PAPER Candidates answer on the Printed Answer Book OCR Supplied Materials: Printed Answer Book 4722 List of Formulae (MF1) Other Materials

### GCE. Mathematics. Mark Scheme for January Advanced GCE Unit 4724: Core Mathematics 4. physicsandmathstutor.com

GCE Mathematics Advanced GCE Unit 474: Core Mathematics 4 Mark Scheme for January 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide

### GCE. Mathematics (MEI) Mark Scheme for June Advanced Subsidiary GCE Unit 4751: Introduction to Advanced Mathematics

GCE Mathematics (MEI) Advanced Subsidiary GCE Unit 4751: Introduction to Advanced Mathematics Mark Scheme for June 013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading

### GCE Mathematics (MEI) Mark Scheme for June Unit 4754A: Applications of Advanced Mathematics: Paper A. Advanced GCE PMT

GCE Mathematics (MEI) Unit 75A: Applications of Advanced Mathematics: Paper A Advanced GCE Mark Scheme for June 06 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding

### GCE Mathematics. Advanced Subsidiary GCE. Unit 4728: Mechanics 1. Mark Scheme for June Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 4728: Mechanics 1 Mark Scheme for June 2014 Advanced Subsidiary GCE Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a

### GCE Mathematics (MEI) Mark Scheme for June Unit 4751: Introduction to Advanced Mathematics (C1) Advanced Subsidiary GCE

GCE Mathematics (MEI) Unit 4751: Introduction to Advanced Mathematics (C1) Advanced Subsidiary GCE Mark Scheme for June 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading

### GCE. Mathematics. Mark Scheme for January Advanced GCE Unit 4730: Mechanics 3. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced GCE Unit 4730: Mechanics 3 Mark Scheme for January 2013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range

### GCE. Mathematics. Mark Scheme for June Advanced GCE Unit 4730: Mechanics 3. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced GCE Unit 4730: Mechanics 3 Mark Scheme for June 2012 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range

### A Level Further Mathematics B (MEI) Y422 Statistics Major Sample Question Paper SPECIMEN

A Level Further Mathematics B (MEI) Y422 Statistics Major Sample Question Paper Date Morning/Afternoon Time allowed: 2 hours 15 minutes OCR supplied materials: Printed Answer Booklet Formulae Further Mathematics

### Wednesday 29 June 2016 Morning

Oxford Cambridge and RSA Wednesday 29 June 216 Morning A2 GCE MATHEMATICS (MEI) 4777/1 Numerical Computation Candidates answer on the Answer Booklet. * 5 9 8 4 3 2 7 9 5 1 * OCR supplied materials: 12

### * * MATHEMATICS 4721 Core Mathematics 1 ADVANCED SUBSIDIARY GCE. Monday 11 January 2010 Morning QUESTION PAPER. Duration: 1 hour 30 minutes.

ADVANCED SUBSIDIARY GCE MATHEMATICS 4721 Core Mathematics 1 QUESTION PAPER Candidates answer on the Printed Answer Book OCR Supplied Materials: Printed Answer Book 4721 List of Formulae (MF1) Other Materials

### MATHEMATICS 4723 Core Mathematics 3

ADVANCED GCE MATHEMATICS 4723 Core Mathematics 3 QUESTION PAPER Candidates answer on the printed answer book. OCR supplied materials: Printed answer book 4723 List of Formulae (MF1) Other materials required:

### Tuesday 10 June 2014 Morning

Tuesday 0 June 20 Morning AS GCE MATHEMATICS 736/0 Decision Mathematics PRINTED ANSWER BOOK *33365809* Candidates answer on this Printed Answer Book. OCR supplied materials: Question Paper 736/0 (inserted)

### GCE. Mathematics. Mark Scheme for June Advanced GCE Unit 4736: Decision Mathematics 1. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced GCE Unit 4736: Decision Mathematics 1 Mark Scheme for June 2012 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a

### GCE. Mathematics. Mark Scheme for June Advanced Subsidiary GCE. Unit 4728: Mechanics 1. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced Subsidiary GCE Unit 4728: Mechanics 1 Mark Scheme for June 2013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a

### Friday 23 June 2017 Morning

Oxford Cambridge and RSA Friday 23 June 2017 Morning A2 GCE MATHEMATICS (MEI) 4754/01B Applications of Advanced Mathematics (C4) Paper B: Comprehension QUESTION PAPER *7350982488* Candidates answer on

### GCE. Mathematics. Mark Scheme for June Advanced GCE Unit 4737: Decision Mathematics 2. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced GCE Unit 737: Decision Mathematics 2 Mark Scheme for June 2013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide

### * * MATHEMATICS (MEI) 4767 Statistics 2 ADVANCED GCE. Monday 25 January 2010 Morning. Duration: 1 hour 30 minutes. Turn over

ADVANCED GCE MATHEMATICS (MEI) 4767 Statistics 2 Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination Formulae and Tables (MF2) Other Materials

### GCE. Mathematics (MEI) Mark Scheme for June Advanced GCE Unit 4754A: Applications of Advanced Mathematics: Paper A

GCE Mathematics (MEI) Advanced GCE Unit 4754A: Applications of Advanced Mathematics: Paper A Mark Scheme for June 011 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK

### Friday 6 June 2014 Afternoon

Friday 6 June 2014 Afternoon AS GCE MATHEMATICS (MEI) 4752/01 Concepts for Advanced Mathematics (C2) QUESTION PAPER * 3 1 8 7 2 6 9 0 6 4 * Candidates answer on the Printed Answer Book. OCR supplied materials:

### GCE Mathematics. Mark Scheme for June Unit 4722: Core Mathematics 2. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 4722: Core Mathematics 2 Advanced Subsidiary GCE Mark Scheme for June 2015 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing

### PMT. GCE Mathematics (MEI) Unit 4766: Statistics 1. Advanced Subsidiary GCE. Mark Scheme for June Oxford Cambridge and RSA Examinations

GCE Mathematics (MEI) Unit 4766: Statistics 1 Advanced Subsidiary GCE Mark Scheme for June 2014 Oxford Cambridge and RSA Examinations 1. Annotations and abbreviations Annotation in scoris Meaning Blank

### MATHEMATICS 4725 Further Pure Mathematics 1

ADVANCED SUBSIDIARY GCE MATHEMATICS 4725 Further Pure Mathematics 1 QUESTION PAPER Candidates answer on the printed answer book. OCR supplied materials: Printed answer book 4725 List of Formulae (MF1)

### GCE. Mathematics. Mark Scheme for January Advanced Subsidiary GCE Unit 4722: Core Mathematics 2. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced Subsidiary GCE Unit 4722: Core Mathematics 2 Mark Scheme for January 2013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing

### Wednesday 8 June 2016 Morning

Oxford Cambridge and RSA Wednesday 8 June 2016 Morning AS GCE MATHEMATICS 4732/01 Probability & Statistics 1 QUESTION PAPER * 4 8 2 7 1 9 3 8 2 8 * Candidates answer on the Printed Answer Book. OCR supplied

### Tuesday 9 June 2015 Morning

Oxford Cambridge and RSA Tuesday 9 June 2015 Morning AS GCE MATHEMATICS (MEI) 4761/01 Mechanics 1 QUESTION PAPER * 3 2 6 8 2 8 9 3 4 4 * Candidates answer on the Printed Answer Book. OCR supplied materials:

### * * MATHEMATICS (MEI) 4761 Mechanics 1 ADVANCED SUBSIDIARY GCE. Wednesday 27 January 2010 Afternoon. Duration: 1 hour 30 minutes.

ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 476 Mechanics Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination Formulae and Tables (MF) Other

### Wednesday 30 May 2012 Afternoon

Wednesday 30 May 2012 Afternoon FSMQ ADVANCED LEVEL 6993 Additional Mathematics QUESTION PAPER *6916300612* Candidates answer on the Printed Answer Book. OCR supplied materials: Printed Answer Book 6993

### Friday 12 June 2015 Morning

Oxford Cambridge and RSA Friday 1 June 015 Morning A GCE MATHEMATICS (MEI) 4753/01 Methods for Advanced Mathematics (C3) QUESTION PAPER * 3 0 9 8 4 1 8 * Candidates answer on the Printed Answer Book. OCR

### GCE. Mathematics (MEI) Mark Scheme for June Advanced GCE Unit 4767: Statistics 2. Oxford Cambridge and RSA Examinations

GCE Mathematics (MEI) Advanced GCE Unit 4767: Statistics 2 Mark Scheme for June 2012 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide

### GCE Mathematics. Mark Scheme for June Unit 4722: Core Mathematics 2. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations

GCE Mathematics Unit 4722: Core Mathematics 2 Advanced Subsidiary GCE Mark Scheme for June 2016 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing

### GCE. Mathematics. Mark Scheme for January Advanced GCE Unit 4727: Further Pure Mathematics 3. Oxford Cambridge and RSA Examinations

GCE Mathematics Advanced GCE Unit 477: Further Pure Mathematics 3 Mark Scheme for January 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing

### Tuesday 20 June 2017 Afternoon

Oxford Cambridge and RSA Tuesday 0 June 017 Afternoon A GCE MATHEMATICS (MEI) 4753/01 Methods for Advanced Mathematics (C3) QUESTION PAPER *6863516168* Candidates answer on the Printed Answer Book. OCR

### ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI)

ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 475 Concepts for Advanced Mathematics (C) Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Insert for Questions 5 and (inserted)

### Cambridge Assessment International Education Cambridge International Advanced Level. Published

Cambridge Assessment International Education Cambridge International Advanced Level MATHEMATICS 9709/ Paper 07 MARK SCHEME Maximum Mark: 7 Published This mark scheme is published as an aid to teachers

### Wednesday 25 January 2012 Afternoon

Wednesday 5 January 01 Afternoon AS GCE MATHEMATICS (MEI) 4761 Mechanics 1 QUESTION PAPER *47333011* Candidates answer on the Printed Answer Book. OCR supplied materials: Printed Answer Book 4761 MEI Examination

### * * MATHEMATICS (MEI) 4751 Introduction to Advanced Mathematics (C1) ADVANCED SUBSIDIARY GCE. Monday 11 January 2010 Morning QUESTION PAPER

ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 475 Introduction to Advanced Mathematics (C) QUESTION PAPER Candidates answer on the Printed Answer Book OCR Supplied Materials: Printed Answer Book 475 MEI Examination

### MATHEMATICS 4729 Mechanics 2

ADVANCED GCE MATHEMATICS 4729 Mechanics 2 QUESTION PAPER Candidates answer on the printed answer book. OCR supplied materials: Printed answer book 4729 List of Formulae (MF1) Other materials required:

### 4754A * * A A. MATHEMATICS (MEI) Applications of Advanced Mathematics (C4) Paper A ADVANCED GCE. Friday 14 January 2011 Afternoon

ADVANCED GCE MATHEMATICS (MEI) Applications of Advanced Mathematics (C4) Paper A 4754A Candidates answer on the answer booklet. OCR supplied materials: 8 page answer booklet (sent with general stationery)

### Wednesday 25 January 2012 Afternoon

Wednesday 5 January 01 Afternoon A GCE MATHEMATICS (MEI) 4763 Mechanics 3 QUESTION PAPER *47337011* Candidates answer on the Printed Answer Book. OCR supplied materials: Printed Answer Book 4763 MEI Examination

### Thursday 12 June 2014 Afternoon

Thursday 12 June 2014 Afternoon AS GCE MATHEMATICS 4728/01 Mechanics 1 QUESTION PAPER * 3 1 3 4 0 1 4 0 0 1 * Candidates answer on the Printed Answer Book. OCR supplied materials: Printed Answer Book 4728/01

### Thursday 12 June 2014 Afternoon

Thursday 1 June 014 Afternoon AS GCE MATHEMATICS (MEI) 4761/01 Mechanics 1 QUESTION PAPER * 3 1 3 4 7 4 7 9 8 * Candidates answer on the Printed Answer Book. OCR supplied materials: Printed Answer Book