All Trigonometry Past Paper Questions - Larbert High

1 Mathematics Faculty Credit Level past Paper Questions (By Topic) 2 | P a g e FORMULAE LIST The roots of ax2 + bx + c = 0 are x = aacbb2)4(2 Sine rule: CsinBsinAsincba Cosine rule: a2 = b2 + c2 2bc cos A or cos A = bcacb2222 Area of a triangle: Area = ab sin C Volume of a sphere: Volume = 334r Volume of a cone: Volume = hr231 Volume of a cylinder: Volume = hr2 Standard deviation: s = 1/)(1)(222 nnxxnxx, where n is the sample size. 3 | P a g e Contents Algebra 5 Area and Volume 15 Circles 26 Factorising 31 Functions 32 Numeracy 34 Percentages 37 Proportion and Variation 41 Pythagoras Theorem 44 Quadratics 51 Ratios 63 Scientific Notation 64 Sequences 66 Similarity 69 Simultaneous Equations 75 Speed.

2 Distance and Time 81 Statistics and Probability 82 Straight Lines 90 Surds and Indices 98 Trigonometry 101 4 | P a g e 5 | P a g e Algebra 2001 P1 3 2002 P1 3 2002 P1 1 2 2002 P1 2 2002 P2 1 1 1 3 2003 P1 3 6 | P a g e 2003 P1 4 2003 P2 1 4 2004 P1 2 2004 P1 3 7 | P a g e 2004 P2 3 4 2005 P1 3 2005 P1 2 3 8 | P a g e 2006 P1 1 2 2006 P1 3 2006 P1 1 1 2 3 9 | P a g e 2006 P2 1 2 2 2007 P1 3 2007 P1 3 2007 P1 1 2 2007 P2 2 2008 P1 2 2008 P1 2 10 | P a g e 2008 P1 1 1 3 2008 P1 1 1 2 11 | P a g e 2008 P1 1 2 2008 P1 3 12 | P a g e 2008 P2 1 3 2009 P1 1 2 2 2009 P1 3 2010 P1 3 13 | P a g e 2010 P1 4 2010 P2 2 2011 P1 3 2011 P2 3 2011 P2 3 2012 P1 2 14 | P a g e 2012 P1 1 1 3 15 | P a g e Area and Volume 2001 P2 4 2002 P2 5 16 | P a g e 2003 P1 4 17 | P a g e 2003 P2 2 3 2004 P2 5 18

3 | P a g e 2005 P1 5 2005 P2 5 19 | P a g e 2006 P1 1 3 20 | P a g e 2006 P2 1 4 2007 P2 2 4 21 | P a g e 2007 P2 2 3 22 | P a g e 2009 P2 4 2009 P2 3 3 23 | P a g e 2010 P1 4 2010 P2 2 3 24 | P a g e 2011 P2 2 3 2011 P2 4 25 | P a g e 2012 P2 4 26 | P a g e Circles 2004 P1 4 2005 P2 4 4 27 | P a g e 2006 P2 3 2006 P2 4 28 | P a g e 2007 P2 3 2008 P2 1 4 29 | P a g e 2009 P2 3 3 2010 P2 3 30 | P a g e 2011 P2 4 2012 P2 3 31 | P a g e Factorising 2001 P1 3 2002 P1 1 2 2003 P1 2 2006 P1 1 2 2009 P1 1 2 2 32 | P a g e Functions 2001 P1 2 2002 P1 2 2002 P1 3 2003 P1 1 2 2005 P1 3 3 2006 P1 2 2009 P1 2 2 33 | P a g e 2010 P1 2 2 2011 P1 2 34 | P a g e Numeracy Skills 2001 P1 2 2001 P1 2 2002 P1 2 2002 P1 2 2003 P1 2 2003 P1 2 2004 P1 2 2004 P1 3 2005 P1 2 2005 P1 3 2006 P1 2 2006 P1 2 35 | P a g e 2007 P1 2 2007 P1 2 2008 P1 2 2008 P1 2 2009 P1 2 2009 P1 2 2010 P1 2 2010 P1 2

4 2011 P1 2 2011 P1 2 2011 P1 3 36 | P a g e 2012 P1 2 2012 P1 3 2012 P1 3 37 | P a g e Percentages 2001 P2 3 2002 P2 3 2003 P2 4 2004 P1 3 2004 P2 3 2005 P1 2 38 | P a g e 2006 P2 3 2007 P2 3 2007 P2 3 2008 P2 4 2008 P2 3 2009 P1 3 2009 P2 4 39 | P a g e 2010 P1 3 2010 P2 4 2011 P2 3 2011 P2 3 2012 P2 4 40 | P a g e 2012 P2 3 41 | P a g e Proportion and Variation 2001 P2 4 2002 P2 1 2 2007 P1 2 42 | P a g e 2008 P2 5 2009 P2 2 3 2010 P2 2 3 2011 P1 1 3 43 | P a g e 2012 P2 4 44 | P a g e Pythagoras Theorem 2002 P2 3 1 2003 P2 4 45 | P a g e 2004 P2 5 2005 P1 5 46 | P a g e 2005 P2 3 2006 P2 4 47 | P a g e 2007 P1 3 2007 P1 4 48 | P a g e 2008 P1 3 2008 P2 2 2 49 | P a g e 2009 P1 3 2010 P2 2 3 50 | P a g e 2010 P2 5 2011 P2 3 2012 P1 4 51 | P a g e Quadratics 2001 P1 1 3 2 2001 P2 1 2 5 52 | P a g e 2002 P1 3 2002 P2 4 2003 P2 4 53 | P a g e 2003 P2 2 2

5 2 54 | P a g e 2004 P2 3 4 2005 P1 5 2005 P2 3 55 | P a g e 2005 P2 5 56 | P a g e 2006 P1 2 57 | P a g e 2006 P2 2 2 3 2007 P2 4 2007 P2 2 4 58 | P a g e 2007 P2 4 2008 P1 2 3 59 | P a g e 2008 P1 3 2008 P2 1 2 3 2009 P1 2 2 60 | P a g e 2009 P1 2 2 2009 P2 4 2009 P2 4 2010 P1 2 2 61 | P a g e 2010 P2 4 2010 P2 5 2011 P2 4 2011 P2 4 62 | P a g e 2012 P1 2 2 2012 P1 4 2012 P2 2 3 63 | P a g e Ratios 2002 P2 3 2003 P1 1 3 2007 P2 3 2010 P2 4 64 | P a g e Scientific Notation 2001 P2 2 2002 P2 2 2004 P2 4 2005 P2 3 65 | P a g e 2006 P2 3 2009 P2 3 2010 P2 4 66 | P a g e Sequences 2001 P1 1 1 2 2002 P2 1 1 2 2003 P1 1 2 1 2005 P1 1 3 67 | P a g e 2009 P2 1 2 2 2010 P1 1 2 2 68 | P a g e 2011 P1 1 1 2012 P1 1 1 2 69 | P a g e Similarity 2002 P2 5 70 | P a g e 2003 P2 3 2005 P2 4 71 | P a g e 2006 P1 4 2006 P2 1 3 72 | P a g e 2007 P1 3 2009 P2 3 73 | P a g e 2010 P2 3 2011 P2

6 4 74 | P a g e 2012 P2 3 2012 P2 2 3 75 | P a g e Simultaneous Equations 2001 P2 3 4 2002 P1 1 1 4 76 | P a g e 2003 P1 1 1 3 2004 P1 2 2 3 77 | P a g e 2006 P1 1 2 3 2007 P1 1 2 3 2008 P2 1 1 3 78 | P a g e 2009 P1 2 2 3 2010 P1 1 1 3 1 79 | P a g e 2011 P1 1 1 2 1 80 | P a g e 2012 P1 4 81 | P a g e Speed, Distance and Time 2003 P2 1 4 2004 P2 4 2012 P1 1 1 3 82 | P a g e Statistics and Probability 2001 P1 3 1 2001 P1 1 2 83 | P a g e 2001 P2 3 2 2002 P1 3 2003 P1 1 1 84 | P a g e 2003 P1 1 2003 P2 1 2 1 2004 P1 4 85 | P a g e 2004 P1 3 2004 P2 4 2005 P1 2 2005 P1 3 2005 P2 4 86 | P a g e 2006 P2 3 2 2007 P1 2 2007 P2 4 2 87 | P a g e 2008 P2 2 1 2009 P1 3 2009 P2 2 88 | P a g e 2010 P1 1 1 2010 P2 3

7 2 2011 P1 2 1 2012 P1 3 89 | P a g e 2012 P2 1 2 90 | P a g e Straight Lines 2001 P1 3 2001 P2 3 4 91 | P a g e 2002 P1 4 2003 P1 1 1 2 92 | P a g e 2004 P1 3 2004 P2 3 3 2005 P1 3 93 | P a g e 2005 P2 1 3 2006 P1 3 94 | P a g e 2007 P1 4 2008 P1 3 95 | P a g e 2009 P2 4 2 2010 P1 1 1 3 1 96 | P a g e 2010 P1 2 1 2011 P1 3 4 97 | P a g e 2012 P2 3 2 98 | P a g e Surds and Indices 2001 P1 3 2001 P1 1 2 3 2002 P1 2 2002 P1 2 2003 P1 2 2 2004 P1 2 2 99 | P a g e 2005 P1 3 3 2006 P2 1 2 2 2007 P1 2 2007 P1 3 2007 P1 1 2 2008 P1 2 100 | P a g e 2008 P1 3 2009 P1 1 2 2 2010 P1 1 1 2 2011 P1 1 3 2012 P1 1 1 101 | P a g e Trigonometry 2001 P2 4 102 | P a g e 2001 P2 4 103 | P a g e 2001 P2 4 104 | P a g e 2001 P2 3 3 105 | P a g e 2001 P2 3 2002 P1 3 2002 P2 5 106 | P a g e 2002 P2 3 2003 P2 4 2003 P2 4 107 | P a g e 2003 P2 3 2004 P1 2 2004 P2 4 108 | P a

8 G e 2004 P2 5 2004 P2 4 109 | P a g e 2004 P2 5 2004 P2 3 2005 P2 4 110 | P a g e 2005 P2 5 2005 P2 3 1 2006 P2 4 111 | P a g e 2006 P2 2 4 112 | P a g e 2006 P2 2 3 1 2007 P1 2 113 | P a g e 2007 P2 4 2007 P2 3 2007 P2 3 114 | P a g e 2008 P2 4 2008 P2 3 1 115 | P a g e 2008 P2 3 1 2009 P1 3 116 | P a g e 2009 P2 1 3 2 2010 P2 4 117 | P a g e 2010 P2 4 2010 P2 2 2 2011 P1 4 118 | P a g e 2011 P2 1 3 2011 P2 1 4 119 | P a g e 2012 P2 4 2012 P2 4 120 | P a g e 2012 P2 2 4 2012 P2 1 4