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Marks may be awarded for partially correct solutions.  \nWhere rounding is necessary give answers correct to 2 decimal places unless stated otherwise.  \nAnswer all thirteen questions.  \nInformation for Candidates  \nThe total mark for this paper is 100.  \nFigures in brackets printed at the end of each question indicate the marks awarded to each question or part question.  \nYou may use a calculator.  \nThe Formula Sheet is on pages 3 and 4.  \n13980.05 MV24 2  \nFormula Sheet  \nPure Mathematics  \nQuadratic  \nequations: If ax2 + bx + c = 0 (a Þ 0)  \nthen x = –b~~ ~~􀁲~~ ~~b22a–~~ ~~4ac~~  ~~Differentiation: If y = axn then dydx = naxn–1 Integration: ∫ axn dx = axn+11 + c (n Þ –1)  \nLogarithms: If ax = n then x = logan  \nlog (ab ) = log a + log blog b abl = log a – log blog an = n log a  \n13980.05 MV24  \n3  \n[Turn over  \nMatrices: If A = =ac bdG  \nthen det A = ad – bc  \nand A–1 = ad~~ ~~1~~ ~~bc =–d –bc aG  \n(ad–bc Þ 0)  \n13980.05 MV24 4  \nBlank Page  \n(Questions start overleaf)  \n13980.05 MV24  \n5  \n[Turn over  \n1 Given that dydx = 6x2 – 52x2 + 4  \n(i) find an expression for d2~~ ~~ydx2 , [2 marks]  \nAnswer    \n13980.05 MV24 6  \n(ii) find an expression for y , given that y = 4 when x = –2 [5 marks]  \nAnswer    \n13980.05 MV24  \n7  \n[Turn over  \n2 Solve the equation x2 + 14x + 10 = 7 by completing the square. [4 marks]  \nGive your answer in surd form.  \nAnswer    \n13980.05 MV24 8  \n3 Solve the inequality [4 marks]  \n(x + 1)2 > 2x + 5  \nYou must show clearly each stage of your solution.  \nAnswer    \n13980.05 MV24 9 [Turn over  \n4 (i) Solve the equation [2 marks] cos x = –0.6  \nfor –180° \u003C x \u003C 180 °  \nAnswer    \n13980.05 MV24 10","cbCaikO9tnqmmx6A","https://ap.wps.com/l/cbCaikO9tnqmmx6A","pdf",498830,48,"English","# Instructions to Candidates\n## Required working and calculation guidance\n# Formula Sheet\n## Quadratic equations\n## Differentiation and integration\n## Logarithms\n## Matrices\n# Questions\n## Differentiation and expressions\n## Solving equations by completing the square\n## Inequalities\n## Trigonometry","[{\"question\":\"What are the key instructions for answering this paper?\",\"answer\":\"Candidates must enter the centre and candidate numbers, answer all questions in the provided spaces, use black ink, and show all working clearly. Answers may earn marks for partially correct solutions.\"},{\"question\":\"What rounding precision is required when rounding is needed?\",\"answer\":\"Where rounding is necessary, answers should be correct to 2 decimal places unless the question states otherwise.\"},{\"question\":\"What subjects and formulas are included on the formula sheet?\",\"answer\":\"The formula sheet covers quadratic equations, differentiation, integration, logarithms, and matrices, including key rules such as the quadratic formula and matrix determinant/inverse expressions.\"}]","GCSE Further Mathematics Unit 1 - With calculator - Pure Mathematics (MV24) - Paper | PDF",121]