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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

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    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

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  • 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
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4D Pure Mathematics QP & MS JUNE 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4D Pure Mathematics QP & MS JUNE 2024

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  • 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 ...
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4C Further Mechanics 2 QP & MS June 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4C Further Mechanics 2 QP & MS June 2024

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  • 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. ...
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4B Further Statistics QP & MS june 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4B Further Statistics QP & MS june 2024

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  • Two students are experimenting with some water in a plastic bottle. The bottle is filled with water and a hole is put in the bottom of the bottle. The students record the time, t seconds, it takes for the water level to fall to each of 10 given values of the height, h cm, above the hole. Student A models the data with an equation of the form t = a + b h The data is coded using v = t – 40 and w = h and the following information is obtained. v = 626 v2 = 64678 w = 22.47 Sww = 4.5...
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4A Pure Mathematics QP & MS June 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4A Pure Mathematics QP & MS June 2024

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  • In this question you must show detailed reasoning. Use Fermat’s Little Theorem to determine the least positive residue of 2180 (mod 23) 2 (4) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS ARE
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 3D Further Decision 1 QP & MS June 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 3D Further Decision 1 QP & MS June 2024

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  • 4 The eleven numbers listed above are to be packed into bins of size n where n is a positive integer. When the first-fit bin packing algorithm is applied to the eleven numbers, the bins are packed as shown below. Bin 1: 17 8 12 Bin 2: 16 24 Bin 3: 19 11 4 Bin 4: 23 13 Bin 5: 20 (a) Explain why this packing means that the value of n must be 40 The original list of eleven numbers is to be sorted into descending order. (b) Use a quick sort to obtain the fully sorted list. You must make...
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Pearson Edexcel GCE In A level Further Mathematics Paper 9FM0/3C QP & MS JUNE 2024

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    Pearson Edexcel GCE In A level Further Mathematics Paper 9FM0/3C QP & MS JUNE 2024

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  • [In this question, i and j are horizontal perpendicular unit vectors.] A particle A has mass 3 kg and a particle B has mass 2 kg. The particles are moving on a smooth horizontal plane when they collide directly. Immediately before the collision, the velocity of A is (3i – j)ms–1 and the velocity of B is (–6i + 2j)ms–1 Immediately after the collision the velocity of A is  −2i + 2 j m s–1     (a) Find the total kinetic energy of the two particles before the co...
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 3B Further Statistics 1 QP & MS June 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 3B Further Statistics 1 QP & MS June 2024

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  • The discrete random variable X has the following probability distribution x – 1 0 1 3 5 P(X = x) 0.2 0.1 0.2 0.25 0.25 (a) Find Var(X ) (b) Find Var(X 2) 2 (3) (3) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREAQuestion 1 continued ■■■■ (Total for Question 1 is 6 marks) 3 Turn over DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 03 Further Pure Mathematics 1 QP & MS JUNE 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 03 Further Pure Mathematics 1 QP & MS JUNE 2024

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  • 1. (a) Given that y = ln(3 + x2) complete the table with the value of y corresponding to x = 3, giving your answer to 4 significant figures. x 2 2.5 3 3.5 4 4.5 5 y 1.946 2.225 2.725 2.944 3.146 3.332 (1) In part (b) you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (b) Use Simpson’s rule with all the values of y in the completed table to estimate, to 3 significant figures, the value of  ln(3 + x2)dx 2 (3) (c) ...
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 02 Pure Mathematics QP & MS June 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 02 Pure Mathematics QP & MS June 2024

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  • 1. (a) Using the definition of sinhx in terms of exponentials, prove that 4sinh3 x + 3sinh x  sinh 3x (2) (b) Hence solve the equation sinh 3x = 19sinh x giving your answers as simplified natural logarithms where appropriate. 2 (5) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS ARE
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 01 Core Mathematics QP & MS June 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 01 Core Mathematics QP & MS June 2024

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  • 1. f(z) = z4 − 6z3 + az2 + bz + 145 where a and b are real constants. Given that 2 + 5i is a root of the equation f(z) = 0 (a) determine the other roots of the equation f(z) = 0 (b) Show all the roots of f(z) = 0 on a single Argand diagram. 2 (7) (2) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4D Pure Mathematics Mark Scheme (Results) Summer 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4D Pure Mathematics Mark Scheme (Results) Summer 2024

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  • Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4D Pure Mathematics Mark Scheme (Results) Summer 2024
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4C Further Mechanics 2 Mark Scheme (Results) Summer 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4C Further Mechanics 2 Mark Scheme (Results) Summer 2024

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  • Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4C Further Mechanics 2 Mark Scheme (Results) Summer 2024
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4B Further Statistics Mark Scheme (Results) Summer 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4B Further Statistics Mark Scheme (Results) Summer 2024

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  • Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4B Further Statistics Mark Scheme (Results) Summer 2024
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4A Pure Mathematics Mark Scheme (Results) Summer 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4A Pure Mathematics Mark Scheme (Results) Summer 2024

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  • Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 4A Pure Mathematics Mark Scheme (Results) Summer 2024
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 3D Further Decision 1 Mark Scheme (Results) Summer 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 3D Further Decision 1 Mark Scheme (Results) Summer 2024

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  • Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 3D Further Decision 1 Mark Scheme (Results) Summer 2024
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Pearson Edexcel GCE In A level Further Mathematics Paper 9FM0/3C Mark Scheme (Results) Summer 2024

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    Pearson Edexcel GCE In A level Further Mathematics Paper 9FM0/3C Mark Scheme (Results) Summer 2024

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  • Pearson Edexcel GCE In A level Further Mathematics Paper 9FM0/3C Mark Scheme (Results) Summer 2024
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 3B Further Statistics 1 Mark Scheme (Results) Summer 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 3B Further Statistics 1 Mark Scheme (Results) Summer 2024

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  • Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 3B Further Statistics 1 Mark Scheme (Results) Summer 2024
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 03 Further Pure Mathematics 1 Mark Scheme (Results) Summer 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 03 Further Pure Mathematics 1 Mark Scheme (Results) Summer 2024

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  • Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 03 Further Pure Mathematics 1 Mark Scheme (Results) Summer 2024
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Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 02 Pure Mathematics Mark Scheme (Results) Summer 2024

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    Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 02 Pure Mathematics Mark Scheme (Results) Summer 2024

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  • Pearson Edexcel GCE In A Level Further Mathematics (9FM0) Paper 02 Pure Mathematics Mark Scheme (Results) Summer 2024
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