StudentGrounds In this Booklet: 1. Hardest Past paper questions between 2009-2015 2. Hardest mixed exercise questions from the text book 3. Hardest Solomon paper questions Answers can all be found individually on Physics and Maths tutor, including mixed exercises solutions in the solution bank section. But complete answer booklet for this can be found on StudentGrounds. StudentGrounds Hardest Past Paper Questions StudentGrounds June 2015 StudentGrounds StudentGrounds January 2014 6. Figure 2 The straight line l1 has equation 2y = 3x + 7. The line l1 crosses the y-axis at the point A as shown in Figure 2. (a) (i) State the gradient of l1. (ii) Write down the coordinates of the point A. (2) Another straight line l2 intersects l1 at the point B (1, 5) and crosses the x-axis at the point C, as shown in Figure 2. Given that <ABC = 90°, (b) find an equation of l2 in the form ax + by + c = 0, where a, b and c are integers. (4) The rectangle ABCD, shown shaded in Figure 2, has vertices at the points A, B, C and D. (c) Find the exact area of rectangle ABCD. (5) StudentGrounds 5. Given that for all positive integers n, n ar 12 4n 2 r 1 (a) find the value of 5 ar r 1 (2) (b) find the value of a6 StudentGrounds 8. The equation 2x2 + 2kx + (k + 2) = 0, where k is a constant, has two distinct real roots. (a) Show that k satisfies k2 – 2k – 4 > 0 (3) (b) Find the set of possible values of k. (4) StudentGrounds January 2013 StudentGrounds StudentGrounds StudentGrounds June 2013 R StudentGrounds StudentGrounds StudentGrounds StudentGrounds StudentGrounds StudentGrounds StudentGrounds June 2013 paper StudentGrounds StudentGrounds January 2012 2 b) 3b) StudentGrounds StudentGrounds StudentGrounds June 2012 StudentGrounds StudentGrounds Jan 2011 : 1b) StudentGrounds StudentGrounds StudentGrounds June 2011 3. The points P and Q have coordinates (–1, 6) and (9, 0) respectively. The line l is perpendicular to PQ and passes through the mid-point of PQ. Find an equation for l, giving your answer in the form ax by c 0, where a, b and c are integers. (5) StudentGrounds StudentGrounds StudentGrounds StudentGrounds StudentGrounds StudentGrounds January 2010 StudentGrounds 10 StudentGrounds June 2010 3) Find the set of values of x for which (c) both 3(x – 2) < 8 – 2x and (2x – 7)(1 + x) < 0. StudentGrounds StudentGrounds January 2009 StudentGrounds StudentGrounds June 2009 StudentGrounds StudentGrounds StudentGrounds Hardest Mixed Exercises Questions StudentGrounds StudentGrounds StudentGrounds StudentGrounds StudentGrounds Hardest Solomon Paper Questions StudentGrounds Solomon paper A StudentGrounds Solomon paper B StudentGrounds StudentGrounds StudentGrounds Solomon C StudentGrounds Solomon D StudentGrounds Solomon E StudentGrounds StudentGrounds StudentGrounds Solomon F StudentGrounds StudentGrounds StudentGrounds Solomon G StudentGrounds StudentGrounds StudentGrounds StudentGrounds Solomon H StudentGrounds StudentGrounds Solomon I StudentGrounds StudentGrounds StudentGrounds StudentGrounds StudentGrounds Solomon J StudentGrounds StudentGrounds StudentGrounds StudentGrounds Solomon K StudentGrounds StudentGrounds StudentGrounds StudentGrounds Solomon L StudentGrounds StudentGrounds StudentGrounds