Oxford Cambridge and RSA Tuesday 21 June 2016 …Tuesday 21 June 2016 – Morning FSMQ INTERMEDIATE...

Tuesday 21 June 2016 – MorningFSMQ INTERMEDIATE LEVEL

6989/01 Foundations of Advanced Mathematics (MEI)

*6354026650*

INSTRUCTIONS TO CANDIDATES

• Write your name clearly in capital letters, your centre number and candidate number on the Answer Sheet in the spaces provided unless this has already been done for you.

• Read each question carefully. Make sure you know what you have to do before starting your answer.

• There are forty questions in this paper. Attempt as many questions as possible. For each question there are four possible answers, A, B, C and D. Choose the one you consider correct and record your choice in soft pencil on the separate Answer Sheet.

• Read very carefully the instructions on the Answer Sheet.

INFORMATION FOR CANDIDATES

• Each correct answer will score one mark. A mark will not be deducted for a wrong answer.

• This document consists of 24 pages. Any blank pages are indicated.

OCR is an exempt CharityTurn over

© OCR 2016 [100/2604/6]DC (ST/SW) 125743/2

Candidates answer on the Answer Sheet.

OCR supplied materials:• Answer Sheet (MS4)

Other materials required:• Eraser• Scientific calculator• Soft pencil• Ruler

* 6 9 8 9 0 1 *

Duration: 2 hours

Oxford Cambridge and RSA

2

6989/01 Jun16© OCR 2016

Formulae Sheet: 6989 Foundations of Advanced Mathematics

a

h

b

Area of trapezium = 12 (a + b)h

13

43

12

Volume of prism = (area of cross-section) × length

length

cross-section

hl

r

r

Volume of cone = πr 2h Curved surface area of cone = πrl

A

b a

c

C

B

Volume of sphere = πr 3

Surface area of sphere = 4πr 2

In any triangle ABCa

sin A = bsin B = c

sin C

Area of triangle = ab sin C

The Quadratic Equation

–b ± (b2 – 4ac)2ax =

Sine rule

Cosine rule a 2 = b2 + c 2 – 2bc cos A

The solutions of ax 2 + bx + c = 0, where a ≠ 0, are given by

Formulae Sheet

3

6989/01 Jun16 Turn over© OCR 2016

1 Three of the following statements are true and one is false. Which one is false?

A 2016 2 3 75 2# #=

B 187 is a prime number.

C 627 is a multiple of 11.

D The highest common factor (HCF) of 36 and 90 is 18.


A ( )2 83- =-

B 4 3 2 14#+ =

C ( ) ( )2 3 1- - - =

D 32 7 3+

=


A 43

1692

=d n

B 3 21 1 3

2 5 61

+ =

C 4 5 2 21 2 8

18 - =

D 43

74

73

' =

4

6989/01 Jun16© OCR 2016


A When a sum of money is shared in the ratio 4 : 5 : 6 the smallest share is 0.4 of the sum.

B If the scale of a map is 1 : 50 000 then 2 cm on the map represents a distance of 1 km on the ground.

C If cheese is priced at £3.50 per kilogram, then 140 g will cost 49p.

D When a line of length 300 cm is split into two parts in the ratio 5 : 1 the length of the longer part is 250 cm.


A A discount of 20% is the same as getting one twentieth off the original price.

B In a sale, “51 off” means that the customer pays 80% of the original price.

C An item priced at £30 excluding VAT costs £36 when VAT at 20% is added.

D The VAT on an item costing £150 including VAT at 20% is £25.


A 300 000 = 3 # 105

B 3 # 103 + 4 # 104 = 3.4 # 104

C (4.3 # 104) # (2.0 # 10–2) = 8.6 # 102

D (2 # 107) ÷ (4 # 10–3) = 5 # 109

5


7 Three of the following statements involve sensible metric units and one does not. Which one does not?

A The mass of an apple is measured in milligrams. B Petrol bought at a garage is measured in litres.

C The distance from London to Edinburgh is measured in kilometres.

D The area of a postage stamp is measured in mm2.


A 3500 g = 3.5 kg

B 220 mm = 22 cm

C A speed limit of 90 km hr−1 on some French roads is about 56 mph.

D 8 litres is approximately 5 pints.

9 A water barrel at the side of a house to collect rainwater is a cylinder. Its height is 1.5 m and its diameter is 1 m.

Three of the following statements are true and one is false. Which one is false?

A The area of the top of the barrel is approximately 0.79 m2.

B The volume of the barrel is approximately 1.2 m3.

C The curved surface area of the barrel is approximately 4.7 m2.

D When full the barrel holds more than 5000 litres.

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A 4.3 # 5.6 = 24.1, correct to 3 significant figures.

B 131 = 0.077, correct to 3 decimal places.

C 5257 = 72, correct to the nearest integer.

D 46 = 4100, correct to the nearest hundred.

11 A piece of card is 17 cm long and 11 cm wide, both correct to the nearest centimetre.


A The minimum possible width of the card is 105 mm.

B The length of the card cannot be greater than 17.05 cm.

C The area of the card is not less than 173.25 cm2.

D The diagonal of the card could be 19.6 cm.


A 4.9 # 5.1 is approximately 25.

B .9 94101 97# is approximately 103.

C . .8 1 2 1# is greater than 4.

D (11.1 # 0.094)2 is approximately 11.

7


13 You are given the formula s ut at21 2= + .


A a = 2 when s = 27, u = 6 and t = 3.

B u = 0 when s = 8, a = 1 and t = 4.

C s = 66 when u = 8, a = −1 and t = 6.

D When u = 4, a = 2 and s = 30 then t satisfies the quadratic equation t t4 30 02 + - = .


A The solution of 7 - 2x = 13 is x = -3.

B The solution of 3x - 5 = 9 - 4x is x = 2.

C The solution of x x4 32 - is x 31 .

D The solution of ( )x x4 2 3 11+ - - is x 11 .

15 Which one of the following is the correct solution of the equation x x3 7 2 02- + = ?

A x 2= or x 31

=

B x 3= or x 12=

C x 3=- or x 12=-

D x 6= or x 1=

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16 Here is a pair of simultaneous equations.

x y3 3+ = x y7 6 12- =

Which one of the following correctly describes their solution?

A Both x and y are integers.

B Neither x nor y is an integer.

C x is an integer but y is not.

D y is an integer but x is not.

17 A company makes sweaters. It takes x minutes to make a round neck sweater and y minutes to make a V neck sweater.

In one day the company makes m round neck sweaters and n V neck sweaters. The total time taken is T hours.

Which one of the following is a correct formula for T ?

A ( )T xm yn60= +

B ( )T xm yn601

= +

C ( ) ( )T x y m n601

= + +

D T mx

ny

60= +b l

9


18 Lidka and Jason have to rearrange some formulae to solve problems in physics.

Lidka says that LgT4 2

2

r= can be rearranged to give T g

L2r= .

Jason says that f u v1 1 1= + can be rearranged to give f u v= + .

Which one of the following statements is true?

A Lidka and Jason are both correct.

B Lidka and Jason are both incorrect.

C Lidka is correct and Jason is incorrect.

D Lidka is incorrect and Jason is correct.


A The nth term of the sequence 1, 3, 5, 7, ... is 2n - 1.

B The nth term of the sequence 3, 6, 12, 24, ... is 3 2n 1# - .

C The nth term of the sequence 14, 8, 2, -4, … is 14 - 6n.

D The sequence 2, 5, 10, 17, … is quadratic.

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A x x331

=

B x x x3 4 123 4 7# =

C x x3 93 2 9=^ h

D xx x26 34

3=

21 Which one of the following is a correct simplification of x x5

2 33

1 2+-- ?

A x15

16 4+

B x154 4-

C x154 4+

D x2 1+


A x x y x x y2 23 2 2 6 3 2- = -^ h

B ( )x x x2 3 3 6+ + = +

C ( ) ( )x x x x3 4 7 122- - = - +

D ( ) ( )x x x3 4 4 4 3 15 28- - - = -

11


23 Three of the following expressions can be factorised into the form ( ) ( )x x a2- + , where a is an integer (positive or negative), and one cannot.

Which one of the following cannot be factorised into this form?

A x2 + x -6

B x2 -4

C x2 - 5x + 6

D x2 - x + 6

24 You are given that, correct to 2 decimal places, a = 5.56 and b = 2.43. Three of the following statements are true and one is false. Which one is false?

A a + b = 8.0, correct to 1 decimal place.

B a - b = 3.1, correct to 1 decimal place.

C 10a + 5b = 67, to the nearest whole number.

D .ba 2 3= , correct to 1 decimal place.

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25 Two lines, L1 and L2, are shown on the graph. L1 crosses the x-axis at the point A and the y-axis at the point B.

–1–1

–2

–3

–4

O 1 2 3 4 5x

y

–2

1

2

3

4

5

6

7

8

9

10L2

L1

A

B


A The coordinates of A are ,1 21 0d n.

B The gradient of L2 is -2.

C The equation of L1 is y = 2x - 3.

D The area of triangle OAB is 2.25 square units.

13


26 The line P is shown on the graph. In order to answer this question you are advised to draw the line Q with equation y = 5x - 7 on the same

graph.

–1–1

–2

–3

–4

–5

–6

–7

–8

0 1 2 3 4 5 6 7x

y

1

2

3

4

5

6

7

8

9

10

P


A The solution of the equation 5x - 7 = 0 can be found where the line Q intersects the x-axis.

B The solution of the simultaneous equations corresponding to the lines P and Q is represented by the point (2, 3).

C The line Q passes through the point (-1, -2).

D The y-intercept of Q is -7.

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27 This graph models the speed of a train when travelling from station A to station B.

25

20

15

10

5

00 90 180 270 360 450 540 630

time (s)

speed (m s–1)

720


A The train travels at a constant speed for 721 minutes.

B The distance between the two stations is 11.7 km.

C When 360 seconds have elapsed, the train is halfway between the stations.

D The acceleration for the first part of the journey is 92 m s−2.

15


28 Three vectors are given by x 03

=J

LKKN

POO, y 3

1=-J

LKKN

POO and z 4

2=-

J

LKKN

POO.

Which one of the following is the correct value of x -2y + 3z?

A 1811

-

J

LKK

N

POO

B 67

-

J

LKKN

POO

C 16

-J

LKKN

POO

D 181

--J

LKK

N

POO

29 y

x

3

–3

0

y

x

3

–3

090 180 270 36090 180 270 360

y

x

3

–3

090 180 270 360

Three of the following equations correspond to graphs above and one does not. Which one does not?

A y = 2cosx B y = 1 - cosx C y = sinx + 1 D y = 2sinx - 1

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30 A ship can travel in still water at 15 knots. (1 knot is 1 nautical mile per hour.) One day it is steering due north but experiences a current from the north-west of about 3 knots.

Which one of the following diagrams represents the correct direction and speed of the ship?

4

8

12

16

20

N A B

C D

2

20 4 6 8 10 12 14 16 18 20

6

10

14

18

4

8

12

16

20

2

20 4 6 8 10 12 14 16 18 20

6

10

14

18

4

8

12

16

20

2

20 4 6 8 10 12 14 16 18 20

6

10

14

18

4

8

12

16

20

2

20 4 6 8 10 12 14 16 18 20

6

10

14

18

17


31 John and Fred play a game in which one of them wins. (So the game cannot end in a draw.) The probability that John wins the first game is 0.6. If he wins the first game, then the probability that he

wins the second game is 0.7. If Fred wins the first game, then the probability that he wins the second game is 0.5. Three of the following statements are true and one is false. Which one is false?

A The probability that John wins both games is 0.42.

B The probability that Fred wins both games is 0.2.

C The probability that Fred wins the second game is 0.38.

D The probability that they win one game each is 0.62.

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6989/01 Jun16© OCR 2016

32 50 students are timed when they run 200 metres. Their times, t seconds, are grouped in the classes shown in the table.

In order to answer this question you are advised to complete the cumulative frequency table and the cumulative frequency curve on the grid below.

Time t 1 25 25 G t 1 30 30 G t 1 35 35 G t 1 40 40 G t 1 45 45 G t 1 50

Frequency 0 5 11 23 7 4

Cumulative frequency 0 5 50

250 300

10

20

30

40

50

Cumulativefrequency

t (seconds)35 40 45 50


A The median is approximately 37 seconds.

B The modal class is 35 G t 1 40.

C About 60% of the students take more than 38 seconds.

D The interquartile range is approximately 5.5 seconds.

19


33 There are 2000 employees in a factory. The managing director wants to consider changing the hours of the working day and so decides to take a random sample of 100 employees to find out their views.

Which one of the following procedures will produce a random sample of employees’ views?

A A questionnaire is given to all employees and the first 100 that are returned are used.

B In a spreadsheet, the employees are listed alphabetically and numbered from 1 to 2000. Those numbered 1, 21, 41, … are interviewed.

C There are 100 employees in the Paint Department. All of them are interviewed.

D The names of each of the 2000 employees are put on pieces of paper, put in a hat, mixed up and then 100 are selected.


A ( )xy x y xy y x2 10 2 52 3 2- = -

B ( ) ( )x x x9 3 32- = - +

C ( ) ( )x x x x12 4 32 + - = + -

D ( ) ( )x x x x2 1 1 2 12 - - = - -

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6989/01 Jun16© OCR 2016

35 An ordinary die is thrown three times and the number that comes up each time is noted.


A The probability of obtaining 3 sixes is 2161 .

B The probability of obtaining exactly 1 four is 21625 .

C The probability that all 3 numbers are even is 81 .

D The probability that there is at least 1 two is 21691 .

36 Starting with a positive integer, n, do the following steps in order to find the answer.

Step 1: Square it Step 2: Add 5 Step 3: Double it Step 4: Subtract twelve times the starting integer


A The answer is always even.

B The answer is sometimes negative.

C For two values of n the answer is zero.

D The answer is always a square number.

21


37 In a sports club, 150 junior members opt for one sport. The sports offered and the numbers opting for each are shown in the table below.

Sport Number of junior members

Football 35Hockey 30Rugby 45Netball 30Swimming 10

A pie chart to illustrate these data is shown below.

Football

Netball

Rugby

Hockey

Swimming


A Exactly half of the junior members chose rugby or hockey.

B The angle of the sector representing swimming is 24º.

C The angle of the sector representing rugby is 108º.

D 50 new junior members join the club and 10 opt for each sport. The angles in the pie chart will remain the same.

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6989/01 Jun16© OCR 2016

38 This question concerns the graph of y x x x2 6 23 2= + - - . The table below gives some values of y for given values of x. The graph below is of part of the graph of this equation.

In order to answer this question you are advised to fill in the table and complete the graph.

x −3 −2 −1 0 1 2

y 7 −2

10

5

–5

0–1 1 2 3 4–2–3–4x

y


A The positive root of the equation x x x2 6 2 03 2+ - - = is approximately x = 1.8.

B The equation x x x2 6 2 123 2+ - - = has three roots.

C When x = 0 the gradient of the curve is negative.

D There are two points on the curve where the gradient is zero.

23


39 Barbara and Valerie are trying to find angles in two triangles.

Q T

P

65

7R

6

Not to scale

4

U

S

85°

Barbara claims that angle P = 44º, correct to the nearest degree. Valerie claims that angle S = 42º, correct to the nearest degree.

Which one of the following statements is true?

A Barbara and Valerie are both correct.

B Barbara and Valerie are both incorrect.

C Barbara is correct and Valerie is incorrect.

D Barbara is incorrect and Valerie is correct.

24

6989/01 Jun16© OCR 2016

Oxford Cambridge and RSA

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OCR is part of the Cambridge Assessment Group; Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.

40 An artificial ski slope is in the form of a wedge as shown in the diagram. The base ABCD is a horizontal rectangle with AB = DC = 50 m and BC = AD = 30 m. The rectangle DCEF is vertical with CE = DF = 20 m and DC = FE = 50 m. P is a point on the line AB.

F

A P B

30 m

20 m

50 m

C

E

D


A The angle EPC is smaller than the angle EBC but greater than the angle EAC.

B The angle EBC = 33.7º, correct to 1 decimal place.

C The angle EAC = 18.9º, correct to 1 decimal place.

D The direct path from A to E is 54.8 m long, correct to 1 decimal place.

enD oF queSTion pAper

Oxford Cambridge and RSA Examinations

FSMQ

Foundations of Advanced Mathematics (MEI)

Unit 6989: Multiple Choice Free Standing Mathematics Qualification

OCR Report to Centres June 2016

OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of qualifications to meet the needs of candidates of all ages and abilities. OCR qualifications include AS/A Levels, Diplomas, GCSEs, Cambridge Nationals, Cambridge Technicals, Functional Skills, Key Skills, Entry Level qualifications, NVQs and vocational qualifications in areas such as IT, business, languages, teaching/training, administration and secretarial skills. It is also responsible for developing new specifications to meet national requirements and the needs of students and teachers. OCR is a not-for-profit organisation; any surplus made is invested back into the establishment to help towards the development of qualifications and support, which keep pace with the changing needs of today’s society. This report on the examination provides information on the performance of candidates which it is hoped will be useful to teachers in their preparation of candidates for future examinations. It is intended to be constructive and informative and to promote better understanding of the specification content, of the operation of the scheme of assessment and of the application of assessment criteria. Reports should be read in conjunction with the published question papers and mark schemes for the examination. OCR will not enter into any discussion or correspondence in connection with this report. © OCR 2016

CONTENTS

Foundations of Advanced Mathematics (MEI) FSMQ (6989)

OCR REPORT TO CENTRES

Content Page 6989 Foundations of Advanced Mathematics 4

OCR Report to Centres – June 2016

4

6989 Foundations of Advanced Mathematics

The mean mark, at 29 was slightly up on previous years. One candidate scored 4 marks and two

candidates obtained full marks. At least one candidate did not offer an answer in 12 questions,

scattered throughout the paper.

In all questions each of the distracting responses was selected by at least one candidate

In two questions the correct response was given by fewer than 50% of candidates and in one case the

majority of candidates chose an incorrect option.

Q18 Algebra – rearrangement of formulae

This was a typical question where candidates have to decide on two rearrangements. In this case the

rearrangement of Lidka was correct but that of Jason was incorrect (option C). Only 38 % chose this

option. Nearly equal proportions chose B and D, the two options in which Lidka was stated to be

incorrect.

Q35 Probability.

Option B was the incorrect probability but only 38% of candidates chose this response. Candidates

probably thought that the correct probability for exactly one 4 wasError! Objects cannot be created

from editing field codes., forgetting that the 4 could be in any of the 3 positions meaning that the

correct probability is actually Error! Objects cannot be created from editing field codes.. Option

D, however, was chosen by 45% of candidates and this was actually correct. P(at least one 2) =

1 – P(no 2s) = Error! Objects cannot be created from editing field codes..

As in previous sessions I offer a summary of questions with the approximate percentage of candidates

giving the correct responses.

Percentage obtaining

the correct response

Question Topic

91 100 2 Arithmetic – powers

6 Arithmetic – standard form

7 Arithmetic – units

10 Arithmetic – significant figures and decimal places

12 Arithmetic – approximate calculations

24 Arithmetic – cumulative errors

81 90 3 Arithmetic – fractions

20 Algebra – powers

25 Graphs – coordinate geometry of straight lines

26 Graphs – graphical interpretation of simultaneous equations

33 Statistics – sampling

34 Algebra – factorisation

37 Statistics – pie chart

71 80 1 Arithmetic – basic operations

4 Arithmetic – ratios

11 Arithmetic – error bounds

13 Algebra – substitution

15 Algebra – solution of quadratic equations

OCR Report to Centres – June 2016

5

Percentage obtaining

the correct response

Question Topic

19 Algebra – sequences

23 Algebra – factorisation of quadratic expressions

28 Vectors

36 Algebra – formula in words

61 70 5 Arithmetic – percentage change

8 Arithmetic – conversion of units

9 Arithmetic – mensuration

14 Algebra – solution of equations and inequations

16 Simultaneous equations

21 Algebra – algebraic fractions

29 Trigonometry – trigonometrical graphs

31 Probability

32 Statistics – cumulative frequency

40 Trigonometry – 3D drawing

51 60 17 Algebra – formula from words

22 Algebra – expansion of brackets

27 Graphs – speed-time graph

30 Vectors

38 Graphs – cubic graph

39 Trigonometry – sine and cosine rules

41 – 50

31 40 18 Algebra – rearrangement of formulae

35 Probability

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Published: 17 August 2016 Version 1.0 1

GCE Mathematics (MEI)

Max Mark a b c d e u 4751 01 C1 – MEI Introduction to advanced mathematics (AS) Raw 72 63 57 52 47 42 0 UMS 100 80 70 60 50 40 0 4752 01 C2 – MEI Concepts for advanced mathematics (AS) Raw 72 56 49 42 35 29 0 UMS 100 80 70 60 50 40 0

4753 01 (C3) MEI Methods for Advanced Mathematics with Coursework: Written Paper

Raw

72

58

52

47

42

36

0 4753 02 (C3) MEI Methods for Advanced Mathematics with

Coursework: Coursework

Raw

18

15

13

11

9

8

0 4753 82 (C3) MEI Methods for Advanced Mathematics with

Coursework: Carried Forward Coursework Mark

Raw

18

15

13

11

9

8

0 UMS 100 80 70 60 50 40 0 4754 01 C4 – MEI Applications of advanced mathematics (A2) Raw 90 64 57 51 45 39 0 UMS 100 80 70 60 50 40 0

4755 01 FP1 – MEI Further concepts for advanced mathematics (AS)

Raw

72

59

53

48

43

38

0 UMS 100 80 70 60 50 40 0

4756 01 FP2 – MEI Further methods for advanced mathematics (A2)

Raw

72

60

54

48

43

38

0 UMS 100 80 70 60 50 40 0

4757 01 FP3 – MEI Further applications of advanced mathematics (A2)

Raw

72

60

54

49

44

39

0 UMS 100 80 70 60 50 40 0

4758 01 (DE) MEI Differential Equations with Coursework: Written Paper

Raw

72

67

61

55

49

43

0 4758 02 (DE) MEI Differential Equations with Coursework:

Coursework

Raw

18

15

13

11

9

8

0 4758 82 (DE) MEI Differential Equations with Coursework: Carried

Forward Coursework Mark

Raw

18

15

13

11

9

8

0 UMS 100 80 70 60 50 40 0 4761 01 M1 – MEI Mechanics 1 (AS) Raw 72 58 50 43 36 29 0 UMS 100 80 70 60 50 40 0 4762 01 M2 – MEI Mechanics 2 (A2) Raw 72 59 53 47 41 36 0 UMS 100 80 70 60 50 40 0 4763 01 M3 – MEI Mechanics 3 (A2) Raw 72 60 53 46 40 34 0 UMS 100 80 70 60 50 40 0 4764 01 M4 – MEI Mechanics 4 (A2) Raw 72 55 48 41 34 27 0 UMS 100 80 70 60 50 40 0 4766 01 S1 – MEI Statistics 1 (AS) Raw 72 59 52 46 40 34 0 UMS 100 80 70 60 50 40 0 4767 01 S2 – MEI Statistics 2 (A2) Raw 72 60 55 50 45 40 0 UMS 100 80 70 60 50 40 0 4768 01 S3 – MEI Statistics 3 (A2) Raw 72 60 54 48 42 37 0 UMS 100 80 70 60 50 40 0 4769 01 S4 – MEI Statistics 4 (A2) Raw 72 56 49 42 35 28 0 UMS 100 80 70 60 50 40 0 4771 01 D1 – MEI Decision mathematics 1 (AS) Raw 72 48 43 38 34 30 0 UMS 100 80 70 60 50 40 0 4772 01 D2 – MEI Decision mathematics 2 (A2) Raw 72 55 50 45 40 36 0 UMS 100 80 70 60 50 40 0 4773 01 DC – MEI Decision mathematics computation (A2) Raw 72 46 40 34 29 24 0 UMS 100 80 70 60 50 40 0

4776 01 (NM) MEI Numerical Methods with Coursework: Written Paper

Raw

72

55

49

44

39

33

0 4776 02 (NM) MEI Numerical Methods with Coursework:

Coursework

Raw

18

14

12

10

8

7

0 4776 82 (NM) MEI Numerical Methods with Coursework: Carried

Forward Coursework Mark

Raw

18

14

12

10

8

7

0 UMS 100 80 70 60 50 40 0 4777 01 NC – MEI Numerical computation (A2) Raw 72 55 47 39 32 25 0 UMS 100 80 70 60 50 40 0 4798 01 FPT - Further pure mathematics with technology (A2) Raw 72 57 49 41 33 26 0


UMS 100 80 70 60 50 40 0

GCE Statistics (MEI)

Max Mark a b c d e u G241 01 Statistics 1 MEI (Z1) Raw 72 59 52 46 40 34 0 UMS 100 80 70 60 50 40 0 G242 01 Statistics 2 MEI (Z2) Raw 72 55 48 41 34 27 0 UMS 100 80 70 60 50 40 0 G243 01 Statistics 3 MEI (Z3) Raw 72 56 48 41 34 27 0 UMS 100 80 70 60 50 40 0 GCE Quantitative Methods (MEI) Max Mark a b c d e u G244 01 Introduction to Quantitative Methods MEI

Raw 72 58 50 43 36 28 0

G244 02 Introduction to Quantitative Methods MEI Raw 18 14 12 10 8 7 0 UMS 100 80 70 60 50 40 0 G245 01 Statistics 1 MEI Raw 72 59 52 46 40 34 0 UMS 100 80 70 60 50 40 0 G246 01 Decision 1 MEI Raw 72 48 43 38 34 30 0 UMS 100 80 70 60 50 40 0 Level 3 Certificate and FSMQ raw mark grade boundaries June 2016 series

For more information about results and grade calculations, see www.ocr.org.uk/ocr-for/learners-and-parents/getting-your-results

Level 3 Certificate Mathematics for Engineering

H860 01 Mathematics for Engineering H860 02 Mathematics for Engineering

Level 3 Certificate Mathematical Techniques and Applications for Engineers

Max Mark a* a b c d e u

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Max Mark a* a b c d e u H865 01 Component 1 Raw 60 48 42 36 30 24 18 0 Level 3 Certificate Mathematics - Quantitative Reasoning (MEI) (GQ Reform)

Max Mark a b c d e u H866 01 Introduction to quantitative reasoning Raw 72 55 47 39 31 23 0 H866 02 Critical maths Raw 60 47 41 35 29 23 0 Overall 132 111 96 81 66 51 0 Level 3 Certificate Mathematics - Quantitive Problem Solving (MEI) (GQ Reform) Max Mark a b c d e u H867 01 Introduction to quantitative reasoning Raw 72 55 47 39 31 23 0 H867 02 Statistical problem solving Raw 60 40 34 28 23 18 0 Overall 132 103 88 73 59 45 0 Advanced Free Standing Mathematics Qualification (FSMQ) Max Mark a b c d e u 6993 01 Additional Mathematics Raw 100 59 51 44 37 30 0 Intermediate Free Standing Mathematics Qualification (FSMQ) Max Mark a b c d e u 6989 01 Foundations of Advanced Mathematics (MEI) Raw 40 35 30 25 20 16 0

http://www.ocr.org.uk/ocr-for/learners-and-parents/getting-your-results


Version Details of change 1.1 Correction to Overall grade boundaries for H866

Correction to Overall grade boundaries for H867

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Oxford Cambridge and RSA Tuesday 21 June 2016 …Tuesday 21 June 2016 – Morning FSMQ INTERMEDIATE...

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