Esthermungai

AS FURTHER MATHEMATICS Paper 2 Statistics Friday 19 May 2023 Afternoon Time allowed: 1 hour 30 minutes Materials  You must have the AQA Formulae and statistical tables booklet for A‑level Mathematics and A‑level Further Mathematics.  You should have a graphical or scientific calculator that meets the requirements of the specification.  You must ensure you have the other optional Question Paper/Answer Book for which you are entered (either Discrete or Mechanics). You will ha...

A-level FURTHER MATHEMATICS Paper 1 Thursday 25 May 2023 Afternoon Time allowed: 2 hours Materials  You must have the AQA Formulae and statistical tables booklet for A‑level Mathematics and A‑level Further Mathematics.  You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions  Use black ink or black ball‑point pen. Pencil should only be used for drawing.  Fill in the boxes at the top of this page.  Answ...

Answer all questions in the spaces provided. outside the box 1 Given that y ¼ sin x þ sinh x , find d2y d x2 þ y Circle your answer. 2 sin x —2 sin x 2 sinh x —2 sinh x 2 Which one of the expressions below is not equal to zero? Circle your answer. [1 mark] [1 mark] lim (x2 e—x ) lim (x5 ln x) lim ex lim (x3ex) x !1 x ! 0 x !1 x5 x ! 0 1 1 1 3 The d...

Answer all questions in the spaces provided. 1 The simple-connected graph G is shown below. box The graph G has n faces. State the value of n Circle your answer. [1 mark] 2 3 4 5 2 Jonathan and Hoshi play a zero-sum game. The game is represented by the following pay-off matrix for Jonathan. Hoshi Jonathan The game does not have a stable solution. Which strategy should Jonathan never play? Circle your answer. [1 m...

Answer all questions in the spaces provided. 1 State the dimensions of power. Circle your answer. ML2T —3 ML3T —3 ML3T —2 ML2T —2 [1 mark] box 2 The force (3i þ 4j) N acts at the point with coordinates (0, 2) The unit vectors i and j are directed along the x-axis and the y-axis respectively. Calculate the magnitude of the moment of this force about the origin. Circle your answer. [1 mark] 6Nm 8 Nm 10 Nm 14 N m 3 A uniform ...

Answer all questions in the spaces provided. 1 The discrete random variable A takes only the values 0, 2 and 4, and has cumulative distribution function F(a) ¼ P(A ≤ a) box a 0 2 4 F(a) 0.2 0.6 1 Find P(A ¼ 2) Circle your answer. [1 mark] 0 0.4 0.6 0.8 2 The time, T days, between rain showers in a city in autumn can be modelled by an exponential distribution with mean 1.25 Find the distribution of the number of rain showers per day in t...

A-level PHYSICS Paper 1 Wednesday 24 May 2023 Afternoon Time allowed: 2 hours Materials For this paper you must have: • a pencil and a ruler • a scientific calculator • a Data and Formulae Booklet • a protractor. Instructions • Use black ink or black ball-point pen. • Fill in the boxes at the top of this page. • Answer all questions. • You must answer the questions in the spaces provided. Do not write outside the box around each page or on blank pages. • I...

Quantity speed of light in vacuo permeability of free space permittivity of free space magnitude of the charge of electron the Planck constant gravitational constant the Avogadro constant molar gas constant the Boltzmann constant the Stefan constant the Wien constant electron rest mass (equivalent to 5.5 × 10–4 u) magnitude of electron charge/mass ratio proton rest mass (equivalent to 1.00728 u) proton charge/mass ratio neutron rest mass (equivalent to 1.00867 u) gravitational fi...

A-level PHYSICS Paper 2 Friday 9 June 2023 Morning Time allowed: 2 hours Materials For this paper you must have: • a pencil and a ruler • a scientific calculator • a Data and Formulae Booklet • a protractor. Instructions • Use black ink or black ball-point pen. • Fill in the boxes at the top of this page. • Answer all questions. • You must answer the questions in the spaces provided. Do not write outside the box around each page or on blank pages. • If you ne...

A-level PHYSICS Paper 3 Section A Thursday 15 June 2023 Morning Materials For this paper you must have: • a pencil and a ruler • a scientific calculator • a Data and Formulae Booklet • a protractor. Instructions • Use black ink or black ball-point pen. • Fill in the boxes at the top of this page. • Answer all questions. Time allowed: The total time for both sections of this paper is 2 hours. You are advised to spend approximately 70 minutes on this section...