Mathematics A & B Revision Package

3 Answer all questions in the spaces provided. 1The continuous random variable X has variance 9 The discrete random variable Y has standard deviation 2 and is independent of X Find Var(X + Y ) Circle your answer. [1 mark] 5 11 13 85 2The random variable T has a discrete uniform distributio...

A-level FURTHER MATHEMATICS Paper 1 hursday 25 May 2023 fternoon 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 requ...

2 Answer all questions in the spaces provided. Do not write outside the box d 2 y 1Given that y ¼ sin x þ sinh x , find d x2 þ y Circle your answer. 2 sin x 2 sin x 2 sinh x 2 Which one of the expressions below is not equal to zero? Circle your answer. x ! 1(x 2 e x ) x ! 0(x 5 ln...

2 Answer all questions in the spaces provided. 1 The simple-connected graph G is shown below. 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. ...

2 Answer all questions in the spaces provided. 1 State the dimensions of power. Circle your answer. [1 mark] ML 2 T 3 ML 3 T 3 ML 3 T 2 ML2 T 2 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-ax...

3 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) 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 shower...

2 Section A Answer all questions in the spaces provided. 1 At a point P on a curve, the gradient of the tangent to the curve is 10 State the gradient of the normal to the curve at P Circle your answer. [1 mark] 10 0.1 0.1 10 2 3 x 2 Identify the expression below which is equivalent to 5 ...

2 Section A Answer all questions in the spaces provided. 1 Simplify log2 8 a Circle your answer. [1 mark] a 3 2a 3a 8a 2 It is given that sin y ¼ 4 5 and 90L < y < 180L Find the value of cos y Circle your answer. [1 mark] 3 3 3 3 4 5 5 4 (02) Jun23/7356/2 Do not write ou...

nstructions 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. Answer all questions. You must answer each question in the space provided for that question. If you need extra space for your answer(s), use the lined pages at ...

k ball-point pen. Pencil should only be used for drawing. Fill in the boxes at the top of this page. Answer all questions. You must answer each question in the space provided for that question. If you need extra space for your answer(s), use the lined pages at the end of this book. Write the ...

Tuesday 20 June 2023 afternoon Time allowed: 2 hours Materials You must have the AQA Formulae for A‑level Mathematics booklet. 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 shou...