IGCSE Add Maths Solutions with Mark Scheme

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IGCSE Add Maths Solutions with Mark Scheme Compiled by Mr Austin Lau Google: mraustinlau vip.edu.my 1 TRIGONOMETRY (Page 1 to 8) Example 1: Nov 2013 Paper 21 Q12B Example 2: Nov 2014 Paper 11 Q11B Example 3: June 2013 Paper 12 Q11B Example 4: Nov 2014 Paper 13 Q4B

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IGCSE Add Maths Solutions with Mark Scheme Compiled by Mr Austin Lau

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TRIGONOMETRY (Page 1 to 8)

Example 1: Nov 2013 Paper 21 Q12B

Example 2: Nov 2014 Paper 11 Q11B

Example 3: June 2013 Paper 12 Q11B

Example 4: Nov 2014 Paper 13 Q4B

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Example 5: Nov 2014 Paper 14 Q4 A

Example 6: Nov 2013 Paper 21 Q12 A

Example 7: June 2014 Paper 11 Q11A

Example 8: June 2015 Paper 11 Q 10 A

Example 9: June 2015 Paper 12Q10A

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Example 10: Nov 2014 Paper 11 Q11A

Example 11: June 2013 Paper 11 Q11B

Example 12: June 2014 Paper 13 Q9 i

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Example 13: March 2015 Paper 12 Q11B

Example 14: June 2015 Paper 11 Q10 B

Example 15: June 2015 Paper 12 Q10B

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Example 16: June 2013 Paper 22 Q10(b)

Example 17: Nov 2014 Paper 11 Q2(b)(ii)

Example 18: June 2013 Paper 22 Q10(a)

Example 19: March 2015 Paper 22 Q1(iii)

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Example 20: Nov 2014 Paper 11 Q2A

Example 21: June 2013 Paper 11 Q1

Example 22: June 2015 Paper 11 Q1(iii)

Example 23: Nov 2014 Paper 13 Q1

Example 24: Nov 2013 Paper 11 Q1

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Example 25: Nov 2013 Paper 23 Q4A

Example 26: Nov 2014 Paper 23 Q10

Example 27: March 2015 Paper 21 Q11(a)

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Example 28: June 2014 Paper 12 Q1

Example 29: Nov 2013 Paper 13 Q3

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Example 30: June 2014 Paper 23 Q7

Example 31: June 2013 Paper 22 Q10B

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QUADRATIC FUNCTIONS (Page 9)

Example 1: June 2014 Paper 21 Q5

Example 2: June 2015 Paper 21 Q9B

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QUADRATIC EQUATION & INEQUALITIES (Page 10 and 11)

Example 3: Nov 2013 Paper 21 Q1

Example 4: Nov 2014 Paper 21 Q2

Example 5:

or

Example 6: June 2013 Paper 12 Q4

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Example 7:

Example 8: Nov 2014 Paper 21 Q6(ii)

Example 9: June 2014 Paper 11 Q4

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FUNCTIONS (Page 12 to 25)

Example 10: June 2013 Paper 22 Q3

Example 11: March 2015 Paper 12 Q3

Example 12: Nov 2010 Paper 13 Q7

Example 13:

Example 14:

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Example 15: June 2015 Paper 21 Q2A

Example 16: June 2014 Paper 21 Q3

(iii)

(iv)

Example 17:Nov 2004 Paper 2 Q10

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Example 18: June 2005 Paper 1 Q6

Example 19:

Without Domain:-

With Domain:-

Example 20:

Without Domain:-

With Domain:-

Example 21:

Without Domain:-

With Domain:-

Example 22:

Example 23:

Example 24:

Example 25: June 2013 Paper 22Q3B

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Example 26: June 2013 Paper21 Q11

Example 27: June 2014 Paper 21 Q12

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Example 28:

Example 29: June 205 Paper 21 Q2B

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DIFFERENTIATION, INTEGRATION AND KINEMATICS (Page 20 to 39)

Example 1: June 2013 Paper 22 Q7

Example 2: June 2014 Paper 22Q7

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Example 3: Nov 2013 Paper 11Q9A

Example 4: June 2014 Paper 21Q10

Example 5: Nov 2003 Paper 2 Q9(i)

Use product rule:

√ (

√ )

Example 6: Nov2009 Paper 2 Q6(i)

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Example 7: Nov 2014Paper 11Q5

Example 8: June 2013 Paper 21 Q6

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Example 9: June 2013 Paper 12Q6

Example 10: June 2015 Paper 11 Q7

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Example 11: Nov 2014 Paper 23 Q9

Example 12: June 2013 Paper 21 Q3

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Example 13: Nov 2013 Paper 21 Q3

Example 14: June 2014 Paper 21 Q8

Example 15: Nov 2013 Paper 21 Q 10

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Example 16: June 2015 Paper 22 Q11

Example 17: June 2013 Paper 12 Q10(a)(i)

Example 18: June 2013 Paper 12 Q10(a)(ii)

Example 19: June 2013 Paper 11 Q5

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Example 20: June 2014 Paper 22 Q9

Example 21: Nov 2013 Paper 21 Q11

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Example 22: Nov 2006 Paper 1 Q 12 Either

Example 23 Nov 2009 Paper 1 Q12 Or

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Example 24: June 2015 Paper 11 Q9

Example 25: June 2014 Paper 23 Q10

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Example 26: Nov 2013 Paper 11 Q9

Example 27: June 2013 Paper 12 Q10 B

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Example 28: Nov 2014 Paper 13 Q8

Example 29: June 2015 Paper 12 Q6

Example 30:

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Example 31:

(a)

(b)

Example 32:

(a)

(b)

Example 33:

Step 1: Find displacement function

To find , at point O when

Step 2: Find when

Step 3: Find distance for

Initial displacement,

At rest,

Final displacement,

Total Distance

𝑚

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Example 34: March 2015 Paper 22 Q11

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Example 35: June 2014 Paper 11 Q9

Example 36: June 2013 Paper 21 Q2

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REMAINDER AND FACTOR THEOREM (Page 40 to 43)

Example 1:

Example 2:

(

) (

) (

) (

)

Example 3 O/N 2014 Paper 21 Q12

Example 4: June 2012 Paper 11 Q2

Example 5: Nov 2011 Paper 11 Q2

Example 6: Nov 2010 Paper 13 Q4

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Example 8: Nov 2010 Paper 13 Q6

Example 9: June 2012 Paper 22 Q5

Example 10: June 2015 Paper 11 Q6

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Example 11: Nov 2006 Paper 1 Q10

Example 12: June 2015 Paper 22 Q12

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Exercise 1: June 2007 Paper 2 Q12 OR

Exercise 2: Nov 2007 Paper 1 Q8

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BINOMIAL THEOREM (Page 44 to 50)

Example 1: March 2015 Paper 12 Q4

Example 2: June 2015 Paper 11 Q3

Example 3: Nov 2013 Paper 21 Q6

Example 4: June 2014 Paper 21 Q6(a)

Example 5: March 2015 Paper 12 Q4

Example 6: June 2010 Paper 11 Q2

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Example 7: June 2015 Paper 11 Q3

Example 8: Nov 2009 Paper 2 Q2

Example 9: Nov 2013 Paper 21 Q6

Example 10: June 2008 Paper 2 Q5

Example 11: Nov 2014 Paper 13 Q9(b)

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Example 12: June 2010 Paper 22 Q8(b)

Example 13: Nov 2014 Paper 11 Q6

Example 14: Nov 2014 Paper 13 Q9(a)

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Example 15: June 2014 Paper 21 Q6

Example 16: June 2014 Paper 22 Q5

Example 17: June 2014 Paper 13 Q5

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Example 18: June 2015 Paper 22 Q7

Example 19: June 2004 Paper 1 Q9

Example 20: Nov 2002 Paper 2 Q2

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Example 21: June 2007 Paper 1 Q4

Exercise 1: Nov 2013 Paper 13 Q1

Exercise 2: June 2013 Paper 12 Q9

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Exercise 3: June 2013 Paper 21 Q7

Exercise 4: Nov 2012 Paper 22 Q4

Exercise 5: Nov 2012 Paper 11 Q6

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Exercise 6: Nov 2012 Paper 13 Q6

Exercise 7: June 2012 Paper 11 Q9

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COORDINATE GEOMETRY

Example 1: June 2014 Paper 23 Q6

Example 2: June 2015 Paper 11 Q5

Example 3:Nov 2014 Paper 11 Q8

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Example 4: June2014 Paper 21 Q9

Example 5: Nov 2013 Paper 11 Q10

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Example 6: Nov 2013 Paper 23 Q8

Example 7: June 2012 Paper 21 Q10

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Exercise 1: June 2014 Paper 23 Q9

Exercise 2: June 2013 Paper 22 Q8

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Exercise 3: Nov 2012 Paper 11 Q8

Exercise 4: Nov 2012 Paper 23 Q8

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Exercise 5: June 2012 Paper 12 Q11

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PERMUTATION & COMBINATION (Page 55 to 58)

Example 1: June 2015 Paper 12 Q5

Example 2: June 2012 Paper 11 Q4

Example 3: Nov 2014 Paper 11 Q10

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Example 4: 2014 Paper 12 Q8

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Example 5: 2014 Paper 13 Q7

Example 6: 2013 Paper 11 Q7

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Example 7: June 2013 Paper 12 Q2

Example 8: June 2013 Paper 11 Q3

Exercise 1: Nov 2012 Paper 1 Q5

(i)

(ii)

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Exercise 2: Nov 2012 Paper 13 Q3

Exercise 3: Nov 2012 Paper 21 Q9

Exercise 4: Nov 2013 Paper 23 Q2

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VECTORS (Page 59 to 65)

Example 1: Nov 2002 Paper 2 Q10

Example 2: Nov 2005 Paper 2 Q7

Example 3: June 2012 Paper 12 Q12 OR

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Example 4: June 2013 Paper 11 Q9

Example 5: Nov 2012 Paper 23 Q4

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Example 6: June 2013 Paper 22 Q4

Example 7: June 2015 Paper 21 Q7

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Example 8: Nov 2004 Paper1 Q1

Example 9: Nov 2006 Paper 1 Q4

Example 10: June 2012 Paper 21 Q8

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Example 11: Nov 2005 Paper 1 Q5

Example 12: Nov 2002 Paper 1Q10

Example 13: June 2007 Paper 1 Q6

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Example 14: June 2012 Paper 12 Q12 EITHER

Example 15: June 2014 Paper 12 Q10

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Example 16: June 2008 Paper 1 Q10

Example 17: June 2009 Paper 1 Q9

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Example 18: Nov 2012 Paper 21 Q7

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RELATIVE VELOCITY (Page 66 to 68)

Example 1: Nov 2012 Paper 22 Q9

Example 2: Nov 2012 Paper 13 Q5

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Example 3: June 2013 Paper 21 Q10

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Example 4: June 2015 Paper 22 Q4

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Example 5: Nov 2004 Paper 2 Q8

Example 6: Nov 2006 Paper 2 Q4

Example 7: Nov 2003 Paper 1 Q6

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Example 8: Nov 2007 Paper 1 Q5

Example 9: June 2002 Paper 2 Q5