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Further Mathematics Advanced PAPER 3A: Further Pure Mathematics 1
- Examen
- • 32 páginas •

AQA Physics Paper 1
AQA Physics Paper 1 Higher Combined Science Predicted Paper 2022 Name ……………………………………………… Date ……………………………………………… 1 hour 15 minutes allowed Similar to your real exam, each question in this gets harder towards the end of each question, so if you find you can’t do the last part of a certain question, try the next question – they all start off easier then get harder. Grade boundaries These are VERY rough...
- Examen
- • 18 páginas •
AQA Physics Paper 1 Higher Combined Science Predicted Paper 2022 Name ……………………………………………… Date ……………………………………………… 1 hour 15 minutes allowed Similar to your real exam, each question in this gets harder towards the end of each question, so if you find you can’t do the last part of a certain question, try the next question – they all start off easier then get harder. Grade boundaries These are VERY rough...

Further Mathematics Advanced PAPER 2: Core Pure Mathematics 2
Given that z 3cos π isin π 1 3 3 z 2 cos π isin π 2 12 12 (a) write down the exact value of (i) | z1z2 | (ii) arg (z1z2) Given that w = z z and that arg (wn) = 0 , where n + (b) determine (i) the smallest positive value of n (ii) the corresponding value of | wn | (2) (3) ...
- Examen
- • 32 páginas •
Given that z 3cos π isin π 1 3 3 z 2 cos π isin π 2 12 12 (a) write down the exact value of (i) | z1z2 | (ii) arg (z1z2) Given that w = z z and that arg (wn) = 0 , where n + (b) determine (i) the smallest positive value of n (ii) the corresponding value of | wn | (2) (3) ...

AQA Chemistry Paper 2
AQA Chemistry Paper 2 Higher Combined Science Predicted Paper 2022 Name ……………………………………………… Date ……………………………………………… 1 hour 15 minutes allowed Similar to your real exam, each question in this gets harder towards the end of each question, so if you find you can’t do the last part of a certain question, try the next question – they all start off easier then get harder. Grade boundaries These are VERY rou...
- Examen
- • 19 páginas •
AQA Chemistry Paper 2 Higher Combined Science Predicted Paper 2022 Name ……………………………………………… Date ……………………………………………… 1 hour 15 minutes allowed Similar to your real exam, each question in this gets harder towards the end of each question, so if you find you can’t do the last part of a certain question, try the next question – they all start off easier then get harder. Grade boundaries These are VERY rou...

Further Mathematics Advanced PAPER 3D: Decision Mathematics 1
Advice Read each question carefully before you start to answer it. • Check your answers if you have time at the end. • Good luck with your examination. Turn over A U B V C W D X E Y Figure 1 A Hamiltonian cycle for the graph in Figure 1 begins C, V, E, X, A, W, …. (a) Complete the Hamiltonian cycle. (b) Hence use the planarity algorithm to determine whether the graph shown in Figure 1 is planar. You must make your working clear and justif...
- Examen
- • 12 páginas •
Advice Read each question carefully before you start to answer it. • Check your answers if you have time at the end. • Good luck with your examination. Turn over A U B V C W D X E Y Figure 1 A Hamiltonian cycle for the graph in Figure 1 begins C, V, E, X, A, W, …. (a) Complete the Hamiltonian cycle. (b) Hence use the planarity algorithm to determine whether the graph shown in Figure 1 is planar. You must make your working clear and justif...

PAPER 1: Core Pure Mathematics 1
1. The transformation P is an enlargement, centre the origin, with scale factor k, where k > 0 The transformation Q is a rotation through angle θ degrees anticlockwise about the origin. The transformation P followed by the transformation Q is represented by the matrix 4 4 3 (a) Determine (i) the value of k, (ii) the smallest value of θ M = 4 3 4 (4) A square S has vertices at the points with coordinates (0, 0), (a, –...
- Examen
- • 36 páginas •
1. The transformation P is an enlargement, centre the origin, with scale factor k, where k > 0 The transformation Q is a rotation through angle θ degrees anticlockwise about the origin. The transformation P followed by the transformation Q is represented by the matrix 4 4 3 (a) Determine (i) the value of k, (ii) the smallest value of θ M = 4 3 4 (4) A square S has vertices at the points with coordinates (0, 0), (a, –...

Further Mathematics Advanced PAPER 3B: Further Statistics 1
1. Kelly throws a tetrahedral die n times and records the number on which it lands for each throw. She calculates the expected frequency for each number to be 43 if the die was unbiased. The table below shows three of the frequencies Kelly records but the fourth one is missing. Number 1 2 3 4 Frequency 47 34 36 x (a) Show that x = 55 Kelly wishes to test, at the 5% level of significance, whether or not there is evidence that the tetrahedral die is unbiased. (b) Explain why there a...
- Examen
- • 24 páginas •
1. Kelly throws a tetrahedral die n times and records the number on which it lands for each throw. She calculates the expected frequency for each number to be 43 if the die was unbiased. The table below shows three of the frequencies Kelly records but the fourth one is missing. Number 1 2 3 4 Frequency 47 34 36 x (a) Show that x = 55 Kelly wishes to test, at the 5% level of significance, whether or not there is evidence that the tetrahedral die is unbiased. (b) Explain why there a...

Further Mathematics Advanced PAPER 3B: Further Statistics 1
1. Kelly throws a tetrahedral die n times and records the number on which it lands for each throw. She calculates the expected frequency for each number to be 43 if the die was unbiased. The table below shows three of the frequencies Kelly records but the fourth one is missing. Number 1 2 3 4 Frequency 47 34 36 x (a) Show that x = 55 Kelly wishes to test, at the 5% level of significance, whether or not there is evidence that the tetrahedral die is unbiased. (b) Explain why there a...
- Examen
- • 24 páginas •
1. Kelly throws a tetrahedral die n times and records the number on which it lands for each throw. She calculates the expected frequency for each number to be 43 if the die was unbiased. The table below shows three of the frequencies Kelly records but the fourth one is missing. Number 1 2 3 4 Frequency 47 34 36 x (a) Show that x = 55 Kelly wishes to test, at the 5% level of significance, whether or not there is evidence that the tetrahedral die is unbiased. (b) Explain why there a...

Further Mathematics
1. The transformation P is an enlargement, centre the origin, with scale factor k, where k > 0 The transformation Q is a rotation through angle θ degrees anticlockwise about the origin. The transformation P followed by the transformation Q is represented by the matrix 4 4 3 (a) Determine (i) the value of k, (ii) the smallest value of θ M = 4 3 4 (4) A square S has vertices at the points with coordinates (0, 0), (a, –...
- Examen
- • 36 páginas •
1. The transformation P is an enlargement, centre the origin, with scale factor k, where k > 0 The transformation Q is a rotation through angle θ degrees anticlockwise about the origin. The transformation P followed by the transformation Q is represented by the matrix 4 4 3 (a) Determine (i) the value of k, (ii) the smallest value of θ M = 4 3 4 (4) A square S has vertices at the points with coordinates (0, 0), (a, –...
AQA AS FURTHER MATHEMATICS Paper 1 May 2013
A-level PHYSICS Paper 1
A-level PHYSICS Paper 1
A-level PHYSICS Paper 1