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SECTION A Answer ALL questions. All multiple choice questions must be answered with a cross in the box for the correct answer from A to D. If you change your mind about an answer, put a line through the box and then mark your new answer with a cross . 1 The graph shows how the displacement of particles in a progressive wave varies with distance along the wave, at a particular instant. Displacement S T Distance Which of the following is the phase difference between the particles at S and...

SECTION A Answer ALL questions. All multiple choice questions must be answered with a cross in the box for the correct answer from A to D. If you change your mind about an answer, put a line through the box and then mark your new answer with a cross . 1 Which of the following quantities is a scalar quantity? A energy B moment of a force C momentum D velocity (Total for Question 1 = 1 mark) 2 Two ice skaters, P and Q, are close together and stationary on an ice rink. P pushes Q and th...

Pearson Edexcel A Level 3 GCE In Physics (9PH0) Paper 01,2 and 3: Advanced Physics I,II and III QP & MS June 2024

Pearson Edexcel GCE In Further Mathematics (8FM0) Paper 01,21,22,23,24,25,26,27 and 28 Further Pure Mathematics 1/2,Further Statistics 1/2, Further Mechanics 1/2 and Decision Mathematics 1/2 QP & MS june 2024

Answer ALL questions in the spaces provided. 1 A student stretched a length of nylon fishing line using the apparatus shown below. wooden blocks G-clamp nylon fishing line pulley mass holder and masses metre rule (a) The nylon fishing line was stretched by adding masses to the mass holder. The positions of the bottom of the mass holder were measured as masses were added. For each mass, the extension of the nylon fishing line was calculated. The student recorded the results, as shown ...

Fission and fusion of nuclei may result in the release of energy. Which row of the table gives the arrows representing energy release by fission and fusion? A B C D (Total for Question 6 = 1 mark) 4 ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS ARE

Answer ALL questions. All multiple choice questions must be answered with a cross in the box for the correct answer from A to D. If you change your mind about an answer, put a line through the box and then mark your new answer with a cross . 1 Which of the following is the base unit for charge? A As B C C JV–1 D Q (Total for Question 1 = 1 mark) 2 Which of the following could not be accelerated in a LINAC? A electron B helium atom C proton D uranium ion (Total for Question 2 = 1...

C 1 A 26 24 21 42 15 C 2 E 24 0 24 H 15 19 39 16 S 37 B 18 12 24 19 18 48 F 6 12 48 6 19 27 T 17 J 35 35 21 D 17 18 11 6 10 36 40 16 19 18 C 19 C G 1 14 10 26 26 K C 2 Figure 1 Figure 1 shows a capacitated, directed network of pipes. The number on each arc represents the capacity of the corresponding pipe. The numbers in circles represent a feasible flow from S to T. (a) State the value of this flow. (b) Explain why arcs CD and CG cannot both be s...

4 6.5 7 1.3 2 5 1.5 6 4.5 6 1 The list of eleven numbers shown above is to be sorted into descending order. (a) Carry out a quick sort to produce the sorted list. You should show the result of each pass and identify the pivots clearly. (b) Use the first‑fit decreasing bin packing algorithm to pack the numbers into bins of size 10 (c) Determine whether your answer to part (b) uses the minimum number of bins. You must justify your answer. A different list of eleven numbers is to be sorte...

A 4a B 2a C 4a F E D Figure 1 A uniform rod of length 24a is cut into seven pieces which are used to form the framework ABCDEF shown in Figure 1. It is given that • AF = BE = CD = AB = FE = 4a • BC = ED = 2a • the rods AF, BE and CD are parallel • the rods AB, BC, FE and ED are parallel • AF is perpendicular to AB • the rods all lie in the same plane The distance of the centre of mass of the framework from AF is d. 19 (a) Show that d = 6 a (4) (b) Find the distance...

A particle A has mass 2m and a particle B has mass 3m. The particles are moving in opposite directions along the same straight line and collide directly. Immediately before the collision, the speed of A is 2u and the speed of B is u. Immediately after the collision, the speed of A is 0.5u and the speed of B is w. Given that the direction of motion of each particle is reversed by the collision, (a) find w in terms of u (b) find the coefficient of restitution between the particles, (c) find...

A continuous random variable X has cumulative distribution function F(x) given by  F(x) =  5 0 (x + 1)2 1 −1 x < −1 x 0  1 −   (4 − x)2 20 1 0 < x 4 x > 4 (a) Find the probability density function, f(x) (b) (i) Sketch f(x) (ii) Hence describe the skewness of the distribution. (c) Find, to 3 significant figures, the value of c such that P(1 < X < c) = P(c < X < 2) 2 (2) (2) (1) (3) ■■■■ DO NOT WRITE IN ...

Sharma believes that each computer game he sells appeals equally to all age ranges. To investigate this, he takes a random sample of 100 people who play these games and asks them which of the games A, B or C they prefer. The results are summarised in the table below. Computer game A B C Age range < 20 8 15 6 20 – 30 21 12 9 > 30 6 10 13 (a) Write down hypotheses for a suitable test to assess Sharma’s belief. (b) For the test, calculate the expected frequency for (i) those pl...

The table below is a Cayley table for the group G with operation ° ° a b c d e f a d c b a f e b e f a b c d c f e d c b a d a b c d e f e b a f e d c f c d e f a b (a) State which element is the identity of the group. (b) Determine the inverse of the element (b°c) (c) Give a reason why the set {a, b, e, f } cannot be a subgroup of G. You must justify your answer. (d) Show that the set {b, d, f } is a subgroup of G. (ii) Given that H is a group with an element x of order 3 and an...

n this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (a) Sketch the graph of the curve with equation (b) Solve, using algebra, the inequality 1 y = 2x (2) 3 − 2x2 > 1 x2 2 (5) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS

The cubic equation 2x3 − 3x2 + 5x + 7 = 0 has roots α, β and γ. Without solving the equation, determine the exact value of (i) α2 + β2 + γ2 3 3 3 (3) (ii) α + β + γ (3) (iii) (5 – α)(5 – β)(5 – γ) 2 (3) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN

Find 2 x − 3 dx x2 giving your answer in simplest form. (4) ∫3 ■■■■ Turn over Question 1 continued

Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 01, 2,3,3B,3C,3D,,4A,4C and 4D, Core Mathematics, Pure Mathematics,Further Statistics 1, Further Statistics and Further Mechanics 2 QP & MS June 2024

1. C 1 A x 13 12 12 B S 7 2 2 15 8 13 13 19 7 D 10 E 17 11 5 5 T 44 15 5 10 C y 12 4 11 8 C 1 16 16 F Figure 1 Figure 1 shows a capacitated, directed network of pipes. The numbers in circles represent an initial flow from S to T. The other number on each arc represents the capacity, in litres per second, of the corresponding pipe. (a) (i) State the value of x (ii) State the value of y (b) State the value of the initial flow. (c) State the capacity of cut C1 ...

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. A particle P moves along a straight line. Initially P is at rest at the point O on the line. At time t seconds, where t 0 • the displacement of P from O is x metres • the velocity of P is vms–1 in the positive x direction 96 • the acceleration of P is (3t + 5) ms−2 in the positive x direction (a) Show that, at time t seconds, v = be determined. ...