Pearson Edexcel Level 3 Advanced Subsidiary GCE in ...

1 Pearson Edexcel Level 3 Advanced Subsidiary GCE in mathematics (8MA0) Pearson Edexcel Level 3 Advanced GCE in mathematics (9MA0) Sample Assessment Materials Exemplar answers with examiner comments Statistics and Mechanics First teaching from September 2017 First certification from June 2018 Pearson Edexcel Level 3 AS and A Level in mathematics Exemplar student answers with examiner comments Pearson Education Ltd 2017 3 Contents About this booklet 5 AS mathematics Paper 2 (Statistics) 7 AS mathematics Paper 2 (Mechanics) 35 A Level mathematics Paper 3 (Statistics) 56 A Level mathematics Paper 3 (Mechanics)

2 87 4 Pearson Edexcel Level 3 AS and A Level in mathematics Exemplar student answers with examiner comments Pearson Education Ltd 2017 5 About this booklet This booklet has been produced to support mathematics teachers delivering the new Pearson Edexcel Level 3 Advanced Subsidiary and Level 3 Advanced GCE in mathematics specification (8MA0 & 9MA0). The booklet looks at questions from the AS and A Level Sample Assessment Materials, which was used in the trial undertaken in summer 2017. It shows real student responses to questions, and how the examining team follow the mark schemes to demonstrate how the students would be awarded marks on these questions.

3 How to use this booklet Our examining team have selected student responses to all questions from the trial of the Sample Assessment Materials. Following each question you will find the mark scheme for that question and then a range of student responses with accompanying examiner comments on how the mark scheme has been applied and the marks awarded, and on common errors for this sort of question. Student response Examiner commentary on the student response Marks awarded for the question or question parts 4 AS mathematics Paper 2 (Applied - Statistics) Pearson Edexcel Level 3 AS and A Level in mathematics Exemplar student answers with examiner comments Pearson Education Ltd 2017 7 AS mathematics Paper 2 (Statistics) Exemplar question 1 1.

4 Sara is investigating the variation in daily maximum gust, t kn, for Camborne in June and July 1987. She used the large data set to select a sample of size 20 from the June and July data for 1987. Sara selected the first value using a random number from 1 to 4 and then selected every third value after that. (a) State the sampling technique Sara used. (1) (b) From your knowledge of the large data set, explain why this process may not generate a sample of size 20. (1) The data Sara collected are summarised as follows n = 20 t = 374 t 2 = 7600 (c) Calculate the standard deviation.

5 (2) (Total for Question 1 is 4 marks) _____ AS mathematics Paper 2 (Applied - Statistics) Pearson Edexcel Level 3 AS and A Level in mathematics Exemplar student answers with examiner comments Pearson Education Ltd 2017 8 Mark Scheme Question Scheme Marks AOs 1(a) Systematic (sample) cao B1 (b) In LDS some days have gaps because the data was not recorded B1 (c) 2760020tts=- [ = ] M1 = awrt (Accept use of 27600 2019tts-= = ) A1 (4 marks) Notes: (b) B1: A correct explanation (c) M1: For a correct expression for t and t or ts.

6 Ft an incorrect evaluation of t A1: For t = awrt or ts= awrt AS mathematics Paper 2 (Applied - Statistics) Pearson Edexcel Level 3 AS and A Level in mathematics Exemplar student answers with examiner comments Pearson Education Ltd 2017 9 Student Response A 1/4 Examiner Comments: (a) B0 (b) B0 (c) M1A0 Part (a) The candidate needs to use the correct technical term. Part (b) No indication of the relevant knowledge of the data in the large data set (some data values being missing).

7 Part (c) Correct working is seen but the answer to only 2 significant figures is given, need awrt In general candidates should always give rounded answers to at least 3 significant figures unless specifically directed otherwise. AS mathematics Paper 2 (Applied - Statistics) Pearson Edexcel Level 3 AS and A Level in mathematics Exemplar student answers with examiner comments Pearson Education Ltd 2017 10 Student Response B 2/4 Examiner Comments: (a) B1 (b) B1 (c) M0A0 Part (a) Correct answer, incorrect spelling is ignored.

8 Part (b) Correct. Part (c) An incorrect formula is used. The formula for standard deviation needs to be known. AS mathematics Paper 2 (Applied - Statistics) Pearson Edexcel Level 3 AS and A Level in mathematics Exemplar student answers with examiner comments Pearson Education Ltd 2017 11 Student Response C 3/4 Examiner Comments: (a) B1 (b) B0 (c) M1A1 Part (a) Correct answer. Part (b) No indication of relevant knowledge of the large data set is shown. Part (c) Correct answer calculated but then subsequently the candidate rounds incorrectly.

9 As a value of was given the is treated as isw. AS mathematics Paper 2 (Applied - Statistics) Pearson Edexcel Level 3 AS and A Level in mathematics Exemplar student answers with examiner comments Pearson Education Ltd 2017 12 Exemplar question 2 2. The partially completed histogram and the partially completed table show the time, to the nearest minute, that a random sample of motorists were delayed by roadworks on a stretch of motorway. Delay (minutes) Number of motorists 4 6 6 7 8 9 17 10 12 45 13 15 9 16 20 Estimate the percentage of these motorists who were delayed by the roadworks for between and minutes.

10 (5) (Total for Question 2 is 5 marks) _____ Frequency density Time (minutes) AS mathematics Paper 2 (Applied - Statistics) Pearson Edexcel Level 3 AS and A Level in mathematics Exemplar student answers with examiner comments Pearson Education Ltd 2017 13 Mark Scheme Question Scheme Marks AOs 2 17 + 45 + 31 9 [ = 65] M1 (7 8 ) 14 or (16 20 ) 5 [Values may be seen in the table] M1 A1 Percentage of motorists is "65"1006 "14" 17 45 9 "5" M1 = A1 (5 marks) Notes: M1: For a fully correct expression for the number of motorists in the interval M1: For clear use of frequency density in (4- 6) or (13- 15) cases to establish the fd scale.