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AQA AS LEVEL FURTHER MATHEMATICS PAPER 2S June 2024 final Mark scheme-7366/2s

State the dimensions of power. Circle your answer. [1 mark] ML2T ÿ3 ML3T ÿ3 ML3T ÿ2 ML2T ÿ2 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] 6 N m 8 N m 10 N m 14 N m Jun23/7367/3M Do not write outside the box (02)3 3 A uniform disc has mass 6 kg

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. Hoshi Strategy H1 H2 H3 Jonathan J1 ÿ2 3 2 J2 3 2 0 J3 4 ÿ1 3 J4 3 1 0 The game does not have a stable solution. Which strategy should Jonathan never play? Circle your answer. [1 mark] J1 J2 J3 J4 Jun23/7367/3D Do not write outside the...

Given that y ¼ sin x þ sinh x , find d2y dx2 þ y Circle your answer. [1 mark] 2 sin x ÿ2 sin x 2 sinh x ÿ2 sinh x 2 Which one of the expressions below is not equal to zero? Circle your answer. [1 mark] lim x ! 1 (x2eÿx) lim x ! 0 (x5 ln x) lim x ! 1 ex   x5 xlim ! 0(x3e

Find the number of solutions of the equation tanh x ¼ cosh x Circle your answer. [1 mark] 0 1 2 3 2 The diagram below shows a locus on an Argand diagram. 2 Re Im –3 O Which of the equations below represents the locus shown above? Circle your answer. [1 mark] jz ÿ 2 þ 3ij ¼ 2 jz þ 2 ÿ 3ij ¼ 2 jz ÿ 2 þ 3ij ¼ 4 jz þ 2 ÿ 3ij ¼ 4

The 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 2 The random variable T has a discrete uniform distribution and takes the values 1, 2, 3, 4 and 5 Find the variance of T Circle your answer. [1 mark] 15 43 2 13 6 Turn over for the next question

A particle moves along the x‑axis under the action of a force, F newtons, where F = 3x2 + 5 Find the work done by the force as the particle moves from x = 0 metres to x = 2 metres. Circle your answer. [1 mark] 12 J 17 J 18 J 34 J 2 Two particles are moving directly towards each other when they collide. Given that the collision is perfectly elastic, state the value of the coefficient of restitution. Circle your answer. [1 mark] e = –1 e = 0 e = 1 2 e = 1 3 A stone of mass 0.2 kg...

The graph G has 8 vertices and 13 edges as shown in the diagram below. P Q S T V R U W Graph H is a simple‑connected subgraph of graph G Which of the following diagrams could represent graph H ? Tick () one box. [1 mark] P Q U T R S W V P Q U T R S W V P Q U T R S W V P Q U T R S W V4 Do not write outside the box (04) G/Jun23/7366/2D 2 The diagram below shows a network of pipes w