P1 process mark. This mark is generally given for setting up an appropriate process to find a solution in the context of the question.

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1 GCSE Mathematics (MA) Higher Tier Paper H November 07 student-friendly mark scheme Please note that this mark scheme is not the one used by examiners for making scripts. It is intended more as a guide to good practice, indicating where marks are given for correct answers. As such, it doesn t show follow-through marks (marks that are awarded despite errors being made) or special cases. It should also be noted that for many questions, there may be alternative methods of finding correct solutions that are not shown here they will be covered in the formal mark scheme. NOTES ON MARKING PRINCIPLES Guidance on the use of codes within this mark scheme M method mark. This mark is generally given for an appropriate method in the context of the question. This mark is given for showing your working and may be awarded even if working is incorrect. P process mark. This mark is generally given for setting up an appropriate process to find a solution in the context of the question. A accuracy mark. This mark is generally given for a correct answer following correct working. B working mark. This mark is usually given when working and the answer cannot easily be separated. C communication mark. This mark is given for explaining your answer or giving a conclusion in context supported by your working. Some questions require all working to be shown; in such questions, no marks will be given for an answer with no working (even if it is a correct answer).

2 Question (Total 3 marks) 5x 6 = 3x 3 This mark is given for expanding brackets 5x 6 3x = 3 x 6 = 3 x = 3 x = This mark is given for isolating x on one side of the equation This mark is given for the correct answer Question (Total 3 marks) 5.64 = 0.47 This mark is given for finding the cost of one bottle = 3 This mark is given for finding the profit on the sale of one bottle = 6.4 (to one decimal place) This mark is given for the correct answer Question 3 (Total 3 marks) (a) 80 = 5.37 This mark is given for finding the length of the circumference of the circle = 3.4 This mark is given for the correct answer (b) No, the mean distance stays the same because the total distance and the number of points stays the same This mark is given for a correct comment GCSE Mathematics MA November 07 Paper H student friendly mark scheme (Version.0)

3 Question 4 (Total 3 marks) B : Y = : This mark is given for a correct ratio for the blue and yellow cubes B : Y : G = : : 8 This mark is given for a correct ratio for the blue, yellow and green cubes 8 This mark is given for the answer shown = or an equivalent fraction Question 5 (Total marks) Working an or answer examiner might This mark is given for a shape labelled A with coordinates (, ), ( 4, ), (, ) and ( 5, ) A This mark is given for a shape labelled B with coordinates (, 4), (3, 4), (, 5) and (4, 5) B GCSE Mathematics MA November 07 Paper H student friendly mark scheme (Version.0) 3

4 Question 6 (Total 4 marks) (a) 6 This mark is given for the correct answer (b) 5 This mark is given for the correct answer (c) 00 a = 0 a, 000 b = 0 3b This mark is given for writing 00 a or 000 b as a power of 0 0 a 0 3b a + 3b = 0 thus w = a + b This mark is given for a correct conclusion Question 7 (Total 5 marks) This mark is given for a method to find the third length of the right angled triangle shown = = = 4.5 This mark is given for finding the third length of the right angled triangle shown = 9.5 This mark is given for finding a length for a right angled triangle to be able to calculate angle CDA tan CDA = This mark is given for finding the tangent of the angle CDA angle CDA = 3.3 This mark is given for an answer in the range Question 8 (Total 3 marks) (a) = This mark is given for any of , or seen This mark is given for the correct answer (b).76 This mark is given for the correct answer GCSE Mathematics MA November 07 Paper H student friendly mark scheme (Version.0) 4

5 Question 9 (Total 3 marks) 5 4 = This mark is given for finding how many hours are worked by five cleaners in total 3 = 7 This mark is given for finding how many hours each of three cleaners would need = This mark is given for the correct answer Question 0 (Total 3 marks) (a) Between 0 and 0 seconds This mark is given for the correct answer When the gradient of the graph is greatest This mark is given for a correct comment (b) = 8 This mark is given for the correct answer Question (Total 3 marks) Working an or answer examiner might Area for Adley pie chart = 5 = 5 Area of Bridford pie chart = 4 = 6 Angle for 0 9 on Adley = 70 This mark is given for finding areas for the two circles and an angle for This mark is given for a method to find 4 the proportion of 0 9 year olds in Bridford 0.9 This mark is given for the correct answer in the range GCSE Mathematics MA November 07 Paper H student friendly mark scheme (Version.0) 5

6 Question (Total 3 marks) RST = ( ) 80 = 50 This mark is given for finding an interior angle of a regular -sided polygon STR = This mark is given for a method to find the size of STR 5 This mark is given for the correct answer Question 3 (Total 5 marks) (a) The mark is given for a method to find the increase in value after 8 years This mark is given for the correct answer (b) =.3 This mark is given for finding a multiplier 6 (.3) =.0447 This mark is given for a method to find the percentage increase each year 4.5 This mark is given in the range GCSE Mathematics MA November 07 Paper H student friendly mark scheme (Version.0) 6

7 Question 4 (Total 3 marks) lines y =, x + y = 5 and y = x drawn These two marks are given for all lines correctly drawn ( mark is given for any two lines correctly drawn) This mark is given for a fully correct region indicated with all lines correct R Question 5 (Total 3 marks) (a) No; Tracey should multiply 8 and 9 This mark is given for correct comment (b) = 3 This mark is given for staring a method to find the number of games played 3 = 66 This mark is given for the correct answer Question 6 (Total marks) (x ) = 3 This mark is given for a method to solve the equation x = 3, 3 + = 0.68, 3.73 This mark is given for both correct answers GCSE Mathematics MA November 07 Paper H student friendly mark scheme (Version.0) 7

8 Question 7 (Total 5 marks) (a) 3 These three marks are given for a fully correct histogram with axes scaled and labelled. ( marks are given for all bars in correct proportions; mark is given for two correct bars) (b) ( ) = 3 This mark is given for a method to find the number of students in the interval This mark is given for the answer shown or a equivalent fraction or percentage Question 8 (Total mark) 0.0 = 0.98 This mark is given for the correct answer Question 9 (Total 5 marks) M = 3, 6 4 = (, ) This mark is given for a method to find the coordinates of M or N 5 N =, 4 = (3, ) Gradient of MN = Gradient of PR = Gradient of MN = Gradient of PR = This mark is given for a method to find the gradient of MN or PR This mark is given for finding the gradient of MN or PR The gradients of both lines = ; This mark is given for a correct conclusion supported by working so MN is parallel to PR GCSE Mathematics MA November 07 Paper H student friendly mark scheme (Version.0) 8

9 Question 0 (Total 5 marks) Working an or answer examiner might OAB = 90 ; OCB = 90 This mark is given for identifying a right angle in the diagram AB = CB = 0 tan 60 = 0 3 Thismark is given for finding the length of AB or CB 0 Area OAC = 0 = Area OAB = OBC = = 50 3 This mark is given finding the area of the sector This mark is given for finding the area of the right angled triangle OAB or OBC Shaded area = area OABC area OAC = ( 50 3) 04.7 = 68.5 This mark is given for a correct answer in the range Question (Total 4 marks) (a) This mark is given for a method to find the probability of taking 3 red counters This mark is given for the answer shown or an equivalent fraction (b) This mark is given for calculating a relevant probability This mark is given for a correct =, so more likely since 0.0 > conclusion supported by working GCSE Mathematics MA November 07 Paper H student friendly mark scheme (Version.0) 9

10 Question (Total 5 marks) g(3) = 3a + b = 0 This mark is given for finding an equation for g(3) g() = a + b This mark is given for finding g() f (x) = x 3 This mark is given for finding f (x) 5 f (33) = g() = a + b = 3a + b = 0 a + b = a = 4, so a = 7 and b = = 6 This mark is given for finding an the equation a + b = 6 This mark is given for finding the values of a and b Question 3 (Total 5 marks) (a) x + = k This mark is given for expressing the common ratio algebraically x = x This mark is given for setting up an appropriate equation in x ( x ) ( x = x + ) = This mark is given for the correct answer x = (b) ( + ) ( + ) This mark s given for showing that the 5th term = 3rd term (common ratio) = = This mark is given for a correct conclusion supported by working GCSE Mathematics MA November 07 Paper H student friendly mark scheme (Version.0) 0