ANALYSIS OF SPM MATHEMATICS (2006-2010) PAPER 2TOPIC 2006 2007 2008 2009 2010 2011

TIPS1. Simultaneous Linear Equations

x+2y=6 x-y=-7

g+2h=14g-3h=-18

x+ y=-34x-y=16

4x+y=12x+3y=8

2x-y=4x+3y=-5

fraction

2.Quadratic Equation 4x2-15=-17x x2+4x-9=2(x-3) 5x2+4x=3(2-x) fraction

3.Sets/graph of function-shaded the region of the inequalities

Shaded the region of the inequalities

23 2

3

621)-3x(x

x2x3x-61x

a)

b)

ANALYSIS OF SPM MATHEMATICS (2006-2010) PAPER 2TOPIC 2006 2007 2008 2009 2010 2011 TIPS

4. Mathematical Reasoning

1.Statement (True/ False) by adding ‘All’ &’Some’2. Converse-true/false3. Complete the premise in the argument

1.Statement (True/ False) by adding ‘All’ &’Some’2. Complete the premise in the argument3.Induction4. Implication: If..then..

1.Whether statement is True/ False2. Implication: If..then..3. Deduction

1.Whether statement is True/ False2. Converse-true/false3. Complete the premise in the argument

1.Whether statement is True/ False2.Implication if and only if3.Complete the premise in the argument

1.Statement (True/ False) by adding ‘All’ &’Some’2.Implication3.Induction

5. Straight Line

1.parallel, gradient same2.equation+x-intercept

1.parallel, gradient same2.equation+x-intercept

1.Parallel to x-axis2.equation+x-intercept

1.parallel, gradient same2. Parallel to x-axis3.y-intercept

1.parallel, gradient same +equation2. x-intercept

1.parallel, gradient same2. Parallel to x-axis3.y-intercept

ANALYSIS OF SPM MATHEMATICS (2006-2010) PAPER 2TOPIC 2006 2007 2008 2009 2010 2011 TIPS

6. Probability II

2 boxes of cards

2 boxes of cards

Cards 1.With tree diagram2.Find the bothFind at least

1.With table2.Find thea) andb) or

7. Perimeter, Area of Circles

1.Perimeter of the whole diagram2.Area of the shaded region

1.Perimeter of the whole diagram2.Area of the shaded region

No diagram/ table

1.Perimeter of the whole diagram2.Area of the shaded region

1.Perimeter of the whole diagram2.Area of the whole diagram

1.Perimeter of the whole diagram2.Area of the shaded region

8.Volume Prism + Pyramid

Cylinder + prism

Cylinder + prism

Hemisphere + removed cone

Cube + removed cylinder

Hemisphere + cylinder

9.Matrices 1.Inverse2.Using matrices to find 2 unknowns

1.Inverse2.Using matrices to find 2 unknowns

1.Inverse2.Using matrices to find 2 unknowns

1.Inverse2.Using matrices to find 2 unknowns

1.Inverse2.Using matrices to find 2 unknowns

1.Inverse2.Using matrices to find 2 unknowns

ANALYSIS OF SPM MATHEMATICS (2006-2010) PAPER 2TOPIC 2006 2007 2008 2009 2010 2011 TIPS

10.Gradient and area under a graph

Speed- time1.The uniform speed2.Find the value.., given distance is..3.Average speed

Distance-time1.The length of time when stationary2.Average speeda)At the same location, find the distance..b)The time

Speed-time1.The uniform speed2.The rate of change of speed3.Find the value.., given distance is..

Speed-time1.Average Speed2.The rate of change of speed3.Find the value.., given distance is..

Speed- time1.The uniform speed2.The rate of change of speed3.Find the value.., given distance is..

Distance-time1.The length of time when stationary2.Average speeda)At the same location, find the distance..b)The time

11.Lines and Planes in 3 dimensions

No midpoint-Calculate the angle

with midpoint-Calculate the angle

with midpoint-Name the angle-Calculate the angle

with midpoint-Name the angle-Calculate the angle

with midpoint-Name the angle-Calculate the angle

No midpoint-Name the angle-Calculate the angle

ANALYSIS OF SPM MATHEMATICS (2006-2010) PAPER 2TOPIC 2006 2007 2008 2009 2010 2011 TIPS

12.Graph of function

Reciprocal Function

Cubic function

Reciprocal Function

Cubic function

Quadratic Function

Reciprocalfunction

13. Transformations III

a)Without graph, translation/ rotation, state the imageb)i.Describe reflection/ enlargementii.Area of the region

a)With a graph, rotation/ reflection, state the imageb)i.Describe rotation 180/ enlargementii.Scale factor+area of the region

a)Without graph, rotation/ reflection, state the imageb)i.Describe reflection/ enlargementii.Area of the region

a)With graph, translation/ reflection, state the imageb)i.Describe rotation/ enlargementii.Area of the region

a)With graph, translation/ rotation, state the imageb)i.Describe reflection/ enlargementii.Area of the region

a)Without graph, rotation/ reflection, state the imageb)i.Describe rotation/ enlargementii.Area of the region

ANALYSIS OF SPM MATHEMATICS (2006-2010) PAPER 2TOPIC 2006 2007 2008 2009 2010 2011 TIPS

14.Earth as a sphere

Diagrama)Position of ..b)The shortest distancec)latitude..d)time

No diagrama)Longitude of..+the shortest distanceb)latitude..c)i)distance=..x 60x cos..ii)time

No diagrama) position of..b)the shortest distancec)distance=..x 60x cos..d)i)d=s x tii)latitude of ..

Diagrama)latitude..b)distance=..x 60c)distance=..x 60x cos..d)speed

No diagrama)Longitude of..b)distance=..x 60x cos..distancec)latitude..ii)time

No diagrama) position of..b)the shortest distancec)distance=..x 60x cos..d)i)d=s x tii)latitude of ..

15.Statistics III a)Complete the tableb)Meanc)A frequency polygon

a)The modal class, meanb)Complete the tablec)Ogived)The 3rd quartilee)Refer to y-axis and find the answer in x-axis

a)Complete the tableb)Meanc)A frequency polygond)Refer to y axis and find the answer in x-axis

a)Complete the tableb)The size of the intervalc)Meand)Histograme)One information

a)The meanb)Complete the tablec)Ogived)The 3rd quartilee)Refer to x-axis and find the answer in y-axis

a)Complete the tableb)Meanc)A frequency polygond)Refer to x axis and find the answer in y-axis

ANALYSIS OF SPM MATHEMATICS (2006-2010) PAPER 2TOPIC 2006 2007 2008 2009 2010 2011 TIPS

16. Plans and elevations

a)The planb)Elevation x/y with a dotted line

a)The planb)Elevation x/y with a dotted line + a radius of a circle

a)The planb)Elevation x/y with a dotted line

a)The planb)Elevation x/y with a dotted line

a)The planb)Elevation x/y with a dotted line

a)The planb)Elevation x/y with a dotted line + a radius of a circle