Core 3 OCR Past Papers - The Grange School Blogs

More documents

Recommendations

Info

2 June 2006 1 Find the equation of the tangent to the curve y = √ 4x + 1atthepoint(2, 3). [5] 2 Solve the inequality |2x − 3|
6 June 2006 3 The diagram shows the graph of y = f(x),where f(x) =2 − x 2 , x ≤ 0. (i) Evaluate ff(−3). [3] (ii) Find an expression for f −1 (x). [3] (iii) Sketch the graph of y = f −1 (x). Indicate the coordinates of the points where the graph meets the axes. [3] 7 (a) Find the exact value of (b) 1 2 2 dx. [4] (4x − 1) 2 The diagram shows part of the curve y = 1 x .ThepointP has coordinates (a, 1 ) and the point Q a 1 has coordinates (2a, ),wherea isapositiveconstant.ThepointR is such that PR is parallel 2a to the x-axis and QR is parallel to the y-axis. The region shaded in the diagram is bounded by the curve and by the lines PR and QR. Show that the area of this shaded region is ln( 1 e). [6] 2 4723/S06 [Turn over
Page 1 and 2: The Grange School Maths Department
Page 3 and 4: 3 June 2005 6 (a) Find the exact va
Page 5 and 6: Jan 2006 1 Show that 2 8 2 3 dx =
Page 7: 8 Jan 2006 4 The diagram shows part
Page 11 and 12: 2 Jan 2007 1 Find the equation of t
Page 13 and 14: 8 Jan 2007 4 The diagram shows the
Page 15 and 16: June 2007 3 7 (i) Sketch the graph
Page 17 and 18: Jan 2008 3 5 (a) Find (3x + 7) 9 d
Page 19 and 20: June 2008 2 1 Find the exact soluti
Page 21 and 22: June 2008 9 y 4 O x The function f
Page 23 and 24: 6 Jan 2009 3 y y -1 = f ( x) P y =
Page 25 and 26: 1 June 2009 y y y 2 x x x O O O Fig
Page 27 and 28: June 2009 4 8 y y P y = ln x = 2 ln
Page 29 and 30: Jan 2010 5 The equation of a curve
Page 31 and 32: June 2010 1 Find dy in each of the
Page 33: June 2010 4 9 The functions f and g

Core 3 OCR Past Papers - The Grange School Blogs

Create successful ePaper yourself

Delete template?

Save as template?