(Total for Question 22 is 5 marks) TOTAL FOR …

1 16*S50156A01616* DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA22 The line l is a tangent to the circle x2 + y2 = 40 at the point A. A is the point (2, 6). The line l crosses the x-axis at the point P. Work out the area of triangle ( TOTAL for Question 22 is 5 marks) TOTAL FOR PAPER IS 80 MARKSP earson edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015113113 pearson edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015 Paper 1MA1.

2 1 HQuestionWorkingAnswerNotes1ay(y+ 27)B1bt6B1cw5B1216 458P1 Using side lengths of 41 42 =2 or 12 14 =18 2 42 =4 or 12 12 =14 P1 Method to find fraction or area for one unshaded triangle1 42+ 2 42= 6 or 12 14 +12 12 =38 P1 Method to complete fraction or area for TOTAL unshaded region16 6 = 10 or 1 38=58P1 Method to find TOTAL fraction or area for shaded regionA1for 58oe or edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015114114 pearson edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015 Paper 1MA1: 1 HQuestionWorkingAnswerNotes3a16 15 30 5 = 5(56 15+16 45+ 16 15) 30 230 5 205P1P1P1A1for identifying correct process to find probabilities for winnng scores.

3 May include use of tree diagram or sample spacefor correct process to find prize moneyfor completing correct process to find profitbExplanationC1for appropriate comment to interpretresult eg probability so only likelihood not certainty, other than 30 may play, 5is small with reasoningM1M1 DeriveAC=9 cmand identify as hypotenuse42+ 72A1for using eg AC = 42+72or 65 and 81 C1for concluding explanation that ABCis not a right-angled triangle with 160 (=20)P1 20 25A1500 (or )B1 Correct units g (or kg) pearson edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015115115 pearson edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015 Paper 1MA1.

4 1 HQuestionWorkingAnswerNotes6a712M194 103oeM19012oeA1712b514+ 623or 523+ 614B1514+ 623or 523+ 6147902 3 =135 Combination with reasonP1 Links either 23with 90 and 60% with 848460 100 =140P1 Process to find original price of microwave oven eg 902 3 (=135)P1 Process to find original price of combination oven eg 8460 100 (=140)A1 Correct original prices 135 and 140 with interpretation of results to conclude that combination oven had greater normal appropriately using two of 5, 2 or 7M1 edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015116116 pearson edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015 Paper 1MA1.

5 1 HQuestionWorkingAnswerNotes9x 2x 3x=Reasoning to reach x 5M1 Starts reasoning to find volume in terms of xM1 Gives inequality 6x3 900or substitutes 5 and 6 into 6x3M1 Completes reasoning to show x 5109M1 Finds constant 36 (=54) or 6 or 36 4A19 cao1143 2 3+43 3=2 3h= 2P1 Process to find volume of cone or hemisphereP1 Process to TOTAL volume of solid(2x)2 = 4x2 P1 Process to find volume ofcylinder4x2 = 2 3P1 Equates 2 volumesA1 Reaches h= 212 Complete proofM1 Begins proof BAE=ACD andABE=EDC M1AB=DC because opposite sides of a parallelogram are equalC1 Completes proof with all reasons eg alternate angles are equal and reference to ASAP earson edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015117117 pearson edexcel Level 1/Level 2 GCSE (9-1)

6 In Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015 Paper 1MA1: 1 HQuestionWorkingAnswerNotes13morethanC1 Makes reference to different numbers of girls and boys C1 Completes reasoning eg there are more (boys) with 80% than (girls) with 70% or correct mean (700+1200) 25 = 76 14 Completes reasoningM1 Expansion of (4 3)(4+ 3)with at least 3 terms out of 4 correct or 42 3 3C1for 13from correct working15a200B1 200 or 2 102b3B112 and 14A13caoc 2M181 = 34or 41381 =A1cao16 Events independentC1 Statement that events are independentPearson edexcel Level 1/Level 2 GCSE (9-1)

7 In Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015118118 pearson edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015 Paper 1MA1: 1 HQuestionWorkingAnswerNotes173 17M1 For (x 3)2 9 8 (= 0) or( =) ( 6) ( 6)2 4(1)( 8)2(1)allow sign error for bM1 For x 3 = 17or =6 682A1cao1848P1 Identifies that 16 8 = 2 so PL=2 NPP1 Process to find area of LMN8 (2+1)2(=72)P1 Completes process to find area of LQM 72 16 8A148 cao19i18M1 Uses frequencydensity for under 80 bar eg 7 10 M1 Completes method to find over 105 minutes frequency eg 15 or 34 ( 20)

8 A118 caoiiReasoningC1 Correct explanation about grouped data so actual values between 100 and 120 unknownPearson edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015119119 pearson edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 2 - September 2015 pearson Education Limited 2015 Paper 1MA1: 1 HQuestionWorkingAnswerNotes203xM1 Factorising numerator and denominator of first fraction 3( +2)( 5)( +2)( = 3( 5) )M1 Factorising denominator of second fraction +5 ( +5)( 5)( = 1 ( 5))M1 Multiplication by reciprocal3( +2)( 5)( +2) ( +5)( 5)( +5)A1 Completing algebra to reach 3x21x< 3, x> 6M1 Rearrange to x2 3x 18 > 0M1 Correct method to solve x2 3x 18 = 0M1 Establish critical values 3 and 6A1x< 3, x> 62260P1process to start problem eg draw diagram and find gradient of OA(= 3)

9 P1process to find equation of tangent with m= 1/ 3 P1process to find x-axis intercept of tangentP1process to find area of triangle A1cao