A Level Mathematics Pure Paper 1predicted Paper 2022 Marks: 100

Page 1 of 40 Hench Maths A Level Mathematics Pure Paper 1 Predicted Paper 2022 Minimum time: 2 hours Marks: 100 You must have: Mathematical Formulae and Statistical Tables, Calculator Instructions Use black ink or ball-point pen. If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). Answer the questions in the spaces provided - there may be more space than you need. You should show sufficient working to make your methods clear. Answers without working may not gain full credit.Page 2 of 40 Hench Maths 1. In an arithmetic series the first term is 16 the 21st term is 24 (a) Find the common difference of the series. (2) (b) Hence find the sum of the first 500 terms of the series. (2) (Total 4 Marks)Page 3 of 40 Hench Maths Page 4 of 40 Hench Maths 2. (a) Show that + = k cosec x, x n, n , where k is a constant to be found. (4) (b) Hence explain why the equation + = 1.6 has no real solutions. (1) (Total 5 Marks) xxcos1sin xxsincos1 xxcos1sin xxsincos1Page 5 of 40 Hench Maths Page 6 of 40 Hench Maths 3. Figure 3 shows a